{"id":3597,"date":"2014-01-24T23:04:22","date_gmt":"2014-01-24T14:04:22","guid":{"rendered":"http:\/\/macroscope.world.coocan.jp\/yukukawa\/?p=3597"},"modified":"2018-01-14T11:12:56","modified_gmt":"2018-01-14T02:12:56","slug":"olivier-darrigol-2005-worlds-of-flow-%e6%b5%81%e4%bd%93%e5%8a%9b%e5%ad%a6%e3%81%ae%e7%99%ba%e9%81%94%e5%8f%b2","status":"publish","type":"post","link":"http:\/\/macroscope.world.coocan.jp\/yukukawa\/?p=3597","title":{"rendered":"Olivier Darrigol (2005) Worlds of Flow \/ \u6d41\u4f53\u529b\u5b66\u306e\u767a\u9054\u53f2"},"content":{"rendered":"<ul>\n<li>Olivier DARRIGOL, 2005; paperback 2009: <em>Worlds of Flow: A history of hydrodynamics from Bernoullis to Prandtl<\/em>. Oxford: Oxford University Press, 356 pp. ISBN 978-0-19-955911-4 (pbk.)<\/li>\n<\/ul>\n<p>\u6d41\u4f53\u529b\u5b66\u306f\u6c17\u8c61\u5b66\u306b\u3068\u3063\u3066\u5fc5\u9808\u306e\u57fa\u790e\u306e\u3072\u3068\u3064\u3067\u3042\u308a\u3001\u308f\u305f\u3057\u304c\u5927\u5b66\u9662\u751f\u6642\u4ee3(1980\u5e74\u4ee3)\u306b\u52c9\u5f37\u3057\u305f\u77e5\u8b58\u306e\u3046\u3061\u5927\u304d\u306a\u90e8\u5206\u3092\u3057\u3081\u308b\u3002\u305d\u306e\u4e2d\u3067\u306f\u3001\u4eba\u540d\u304c\u3064\u3044\u305f\u6cd5\u5247\u3001\u5b9a\u7406\u3001\u65b9\u7a0b\u5f0f\u3001\u8fd1\u4f3c\u3001\u6ce2\u3001\u6e26\u3001\u4e0d\u5b89\u5b9a\u73fe\u8c61\u3001\u300c\u6570\u300d(\u7121\u6b21\u5143\u91cf)\u306a\u3069\u306b\u305f\u304f\u3055\u3093\u51fa\u4f1a\u3063\u305f\u3002\u3057\u304b\u3057\u540d\u307e\u3048\u304c\u51fa\u3066\u304f\u308b\u4eba\u7269\u305f\u3061\u306e\u304b\u304b\u308f\u308a\u304b\u305f\u306f\u307b\u3068\u3093\u3069\u77e5\u3089\u306a\u3044\u307e\u307e\u3060\u3063\u305f\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u6d41\u4f53\u529b\u5b66\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u306e\u305f\u3066\u304b\u305f\u306b\u3001\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5(Lagrange)\u578b\u3068\u30aa\u30a4\u30e9\u30fc(Euler)\u578b\u3068\u3044\u3046\u3082\u306e\u304c\u3042\u308b<a href=\"http:\/\/d.hatena.ne.jp\/masudako\/20120417\/1334667092\">[\u5225\u30d6\u30ed\u30b02012-04-17\u306e\u8a18\u4e8b]<\/a>\u3002\u6d41\u4f53\u306e\u52d5\u304f\u5c0f\u90e8\u5206(\u6d41\u4f53\u7d20\u5206)\u306b\u3064\u3044\u3066\u5f0f\u3092\u305f\u3066\u308b\u306e\u304c\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u578b\u3001\u7a7a\u9593\u5ea7\u6a19\u306b\u56fa\u5b9a\u3057\u305f\u4f4d\u7f6e\u306e\u6570\u91cf\u306b\u3064\u3044\u3066\u5f0f\u3092\u305f\u3066\u308b\u306e\u304c\u30aa\u30a4\u30e9\u30fc\u578b\u306a\u306e\u3060\u3002\u3053\u308c\u306f\u307b\u3093\u3068\u3046\u306b\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u3068\u30aa\u30a4\u30e9\u30fc\u304c\u8003\u3048\u305f\u3053\u3068\u306a\u306e\u304b\u3001\u305d\u308c\u306f\u3069\u3053\u306b\u6700\u521d\u306b\u793a\u3055\u308c\u305f\u306e\u304b\u3001\u77e5\u308a\u305f\u3044\u3068\u601d\u3063\u305f\u304c\u3001\u308f\u305f\u3057\u304c\u898b\u305f\u304b\u304e\u308a\u306e\u6d41\u4f53\u529b\u5b66\u306e\u6559\u79d1\u66f8\u3067\u306f\u898b\u3042\u305f\u3089\u306a\u304b\u3063\u305f\u3002\u30aa\u30a4\u30e9\u30fc\u3084\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u304c\u8003\u3048\u305f\u3053\u3068\u306b\u3064\u3044\u3066\u5f7c\u3089\u306e\u8457\u4f5c\u306b\u3042\u305f\u3063\u3066\u7814\u7a76\u3057\u3066\u3044\u308b\u6709\u8cc0\u66a2\u8fea(\u3042\u308a\u304c \u306e\u3076\u307f\u3061)\u3055\u3093\u306b\u305f\u305a\u306d\u305f\u3068\u3053\u308d\u3001\u6d41\u4f53\u529b\u5b66\u306e\u4ef6\u306a\u3089\u3070Darrigol\u306e\u672c\u306b\u3042\u308b\u306f\u305a\u3060\u3068\u3044\u3046\u3053\u3068\u3060\u3063\u305f\u3002(\u308f\u305f\u3057\u304c\u305d\u306e\u524d\u56de\u306b\u3053\u306e\u4ef6\u3092\u7591\u554f\u306b\u601d\u3063\u305f\u3068\u304d\u306b\u306f\u307e\u3060\u306a\u304b\u3063\u305f\u672c\u3060\u3002) \u3059\u3050\u6ce8\u6587\u3057\u305f\u306e\u3060\u304c\u3001\u5b9f\u969b\u306b\u8aad\u3080\u306e\u304c2\u5e74\u8fd1\u304f\u3042\u3068\u306b\u306a\u3063\u3066\u3057\u307e\u3063\u305f\u3002\u672c\u66f81\u7ae0\u306b\u3088\u308c\u3070\u3001\u300c\u30aa\u30a4\u30e9\u30fc\u578b\u300d\u306fEuler\u306e1755\u5e74\u306e\u8ad6\u6587\u3001\u300c\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u578b\u300d\u306fLagrange\u306e1761\u5e74\u306e\u8ad6\u6587\u30681788\u5e74\u306e\u300e<em>\u89e3\u6790\u529b\u5b66<\/em>\u300f\u306e\u672c\u304c\u4ee3\u8868\u7684\u51fa\u5178\u3068\u8a00\u3048\u308b\u3088\u3046\u3060\u3002\u3057\u304b\u3057Euler\u306f1751\u5e74\u306b\u66f8\u304b\u308c1760\u5e74\u306b\u51fa\u7248\u3055\u308c\u305f\u5ddd\u306e\u6d41\u308c\u306e\u8ad6\u6587\u3067\u306f\u4eca\u3067\u3044\u3046\u300c\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u578b\u300d\u306e\u6271\u3044\u3001Lagrange\u306f1781\u5e74\u306e\u8ad6\u6587\u3067\u306f\u300c\u30aa\u30a4\u30e9\u30fc\u578b\u300d\u306e\u6271\u3044\u3082\u3057\u3066\u3044\u308b\u3002<\/p>\n<p>\u8457\u8005\u306f\u30d5\u30e9\u30f3\u30b9\u306e\u79d1\u5b66\u53f2\u5bb6\u3067\u3042\u308b\u3002\u5bfe\u8c61\u3068\u306a\u308b\u6642\u4ee3\u306e\u6587\u732e\u3092\u591a\u6570\u53c2\u7167\u3057\u3066\u3044\u308b\u3002\u305f\u3060\u3057\u672c\u66f8\u3067\u306e\u6570\u5f0f\u306f\u73fe\u4ee3\u306e\u30d9\u30af\u30c8\u30eb\u30fb\u30c6\u30f3\u30bd\u30eb\u8868\u73fe\u306b\u3088\u308a\u8868\u8a18\u3092\u7d71\u4e00\u3057\u3066\u3044\u308b\u3002\u6614\u306e\u8868\u73fe\u3092\u5f15\u7528\u3057\u3066\u8aac\u660e\u3092\u66f8\u3044\u305f\u3089\u306a\u3093\u500d\u3082\u306e\u9577\u3055\u306b\u306a\u308b\u3060\u308d\u3046\u3002<\/p>\n<p>\u8a18\u8ff0\u5bfe\u8c61\u306e\u6642\u4ee3\u304c1930\u5e74\u4ee3\u307e\u3067\u306a\u306e\u3067\u3001\u308f\u305f\u3057\u304c\u76f4\u63a5\u8457\u4f5c\u3092\u8aad\u3093\u3060\u4eba\u306f\u307b\u3068\u3093\u3069\u51fa\u3066\u3053\u306a\u3044\u3002\u6cd5\u5247\u306a\u3069\u306b\u540d\u307e\u3048\u304c\u3064\u3044\u3066\u3044\u308b\u4eba\u7269\u304c\u6b21\u3005\u306b\u73fe\u308f\u308c\u308b\u3002(\u4ed6\u306e\u4e8b\u4f8b\u3067\u306f\u5b9f\u969b\u306e\u529f\u52b4\u8005\u3068\u9055\u3046\u4eba\u306e\u540d\u307e\u3048\u304c\u3064\u304f\u3053\u3068\u304c\u591a\u3044\u3068\u805e\u304f\u304c\u3001\u672c\u66f8\u3067\u6c17\u3065\u3044\u305f\u9650\u308a\u306e\u4e8b\u4f8b\u306f\u3044\u305a\u308c\u3082\u5b9f\u969b\u8ca2\u732e\u3057\u305f\u4eba\u3067\u3042\u308b\u3088\u3046\u3060\u3002\u72ec\u7acb\u767a\u898b\u306e\u3046\u3061\u3060\u308c\u3092\u9078\u3076\u304b\u3068\u3044\u3046\u554f\u984c\u306f\u3042\u308b\u304c\u3002) \u521d\u3081\u3066\u77e5\u308b\u4eba\u540d\u3082\u3042\u308b\u304c\u3001\u8a71\u984c\u306f\u3064\u306a\u304c\u3063\u3066\u3044\u308b\u306e\u3067\u3001\u3069\u3053\u3082\u8aad\u307f\u3068\u3070\u3059\u6c17\u306b\u306a\u308c\u306a\u304b\u3063\u305f\u3002\u305f\u3060\u3057\u6570\u5f0f\u306f\u7406\u89e3\u3057\u3088\u3046\u3068\u3064\u3068\u3081\u306a\u3044\u3053\u3068\u306b\u3057\u305f\u3002\u65ad\u7d9a\u7684\u306b\u3060\u304c10\u65e5\u304b\u304b\u3063\u3066\u3088\u3046\u3084\u304f\u8aad\u3081\u305f\u3002\u3053\u308c\u307e\u3067\u540d\u307e\u3048\u3057\u304b\u77e5\u3089\u306a\u304b\u3063\u305f1930\u5e74\u4ee5\u524d\u306e\u79d1\u5b66\u8005\u305f\u3061\u306b\u3064\u3044\u3066\u9060\u8fd1\u611f\u304c\u3067\u304d\u305f\u3002<\/p>\n<p>\u6d41\u4f53\u529b\u5b66\u306f\u3001fluid dynamics\u3001fluid mechanics\u3068\u3082\u3044\u3046\u304c\u3001\u672c\u66f8\u3067\u306fhydrodynamics\u3068\u3057\u3066\u3044\u308b\u3002\u3072\u3068\u3064\u306b\u306f\u3001\u8457\u8005\u304c\u672c\u66f8\u306e\u4e3b\u984c\u3092\u8a2d\u5b9a\u3059\u308b\u306e\u306b\u969b\u3057\u3066<em>\u71b1<\/em>\u304c\u91cd\u8981\u306a\u5f79\u5272\u3092\u679c\u305f\u3059\u3088\u3046\u306a\u8a71\u984c\u3092\u306f\u305a\u3057\u305f\u3053\u3068\u3092\u53cd\u6620\u3057\u3066\u3044\u308b\u3088\u3046\u3060\u3002\u3082\u3046\u3072\u3068\u3064\u306b\u306f\u3001\u3053\u308c\u304c\u672c\u66f8\u306e\u5bfe\u8c61\u6642\u671f\u306e\u521d\u3081\u304b\u3089\u4f7f\u308f\u308c\u3066\u3044\u305f\u3053\u3068\u3070\u306a\u306e\u3060\u3002Daniel Bernoulli\u304c1738\u5e74\u306b<em>Hydrodynamica<\/em>\u3068\u3044\u3046\u30e9\u30c6\u30f3\u8a9e\u306e\u672c\u3092\u51fa\u3057\u305f\u3002\u3059\u3067\u306bhydraulics (\u6c34\u7406\u5b66\u3001\u4eca\u3067\u3082\u571f\u6728\u5de5\u5b66\u306e\u5206\u79d1\u3068\u3057\u3066\u3042\u308b)\u3068hydrostatics (\u6c34\u306e\u9759\u529b\u5b66\u3001\u4eca\u306f\u5206\u79d1\u540d\u3068\u3057\u3066\u306f\u306a\u3044\u304c\u5f62\u5bb9\u8a5e\u5f62\u306f\u7269\u7406\u904e\u7a0b\u306e\u5206\u985e\u306b\u4f7f\u3046)\u304c\u3042\u3063\u3066\u3001\u305d\u308c\u3092\u3064\u306a\u3050\u5b66\u554f\u3092\u69cb\u7bc9\u3057\u3088\u3046\u3068\u3044\u3046\u610f\u56f3\u304c\u3042\u3063\u305f\u3089\u3057\u3044\u30027\u7ae0\u306e\u8a71\u306f\u304a\u3082\u306b\u7a7a\u6c17\u3092\u6271\u3063\u3066\u304a\u308aaerodynamics (\u7a7a\u6c17\u529b\u5b66)\u3068\u3082\u547c\u3070\u308c\u3001\u822a\u7a7a\u3068\u3044\u3046\u9700\u8981\u3068\u3001\u98a8\u6d1e\u3068\u3044\u3046\u6280\u6cd5\u304c\u3042\u3063\u3066\u767a\u9054\u3057\u305f\u5206\u91ce\u3060\u3002\u3053\u308c\u306fhydro-\u3068\u306f\u5225\u306b\u6271\u3046\u3053\u3068\u3082\u8003\u3048\u3089\u308c\u308b\u3068\u601d\u3046\u304c\u3001\u672c\u66f8\u306b\u3068\u3063\u3066\u306f\u3001\u300c\u7269\u4f53\u304c\u6c34\u306e\u6d41\u308c\u304b\u3089\u53d7\u3051\u308b\u62b5\u6297\u300d\u3068\u3044\u3046\u4e8c\u767e\u5e74\u3054\u3057\u306e\u61f8\u6848\u306e\u89e3\u6c7a\u306e\u304d\u3063\u304b\u3051\u304c\u7a7a\u6c17\u529b\u5b66\u304b\u3089\u5f97\u3089\u308c\u305f\u3001\u3068\u3044\u3046\u7d50\u679c\u7684\u4e8b\u60c5\u304c\u3042\u3063\u305f\u306e\u3067\u5fc5\u9808\u306e\u90e8\u5206\u306b\u306a\u3063\u3066\u3044\u308b\u3002\u305f\u3060\u3057\u822a\u7a7a\u3084\u6c17\u8c61\u306e\u8a71\u984c\u306f\u3053\u306e\u6587\u8108\u306b\u304b\u3089\u3080\u3082\u306e\u3060\u3051\u3092\u8996\u91ce\u5185\u306b\u5165\u308c\u3001\u3042\u3068\u306f\u7701\u7565\u3057\u3066\u3044\u308b\u3002<\/p>\n<p>Newton\u529b\u5b66\u3092\u4eca\u3082\u4f7f\u308f\u308c\u3066\u3044\u308b\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u5f62\u306b\u5b9a\u5f0f\u5316\u3057\u305fEuler\u3084Lagrange\u306b\u3088\u3063\u3066\u3001\u6d41\u4f53\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f\u3082\u5b9a\u5f0f\u5316\u3055\u308c\u305f\u3002\u305d\u3057\u3066\u3001\u6c34\u8def\u3084\u7ba1\u306e\u6d41\u91cf\u3092\u77e5\u308a\u305f\u3044\u3001\u8239\u3084\u6a4b\u811a\u306b\u50cd\u304f\u62b5\u6297\u3092\u77e5\u308a\u305f\u3044\u306a\u3069\u306e\u793e\u4f1a\u7684\u9700\u8981\u3082\u3042\u3063\u305f\u3002\u7814\u7a76\u8005\u306e\u591a\u304f\u306f\u305d\u308c\u305e\u308c\u306b\u5fdc\u7528\u3092\u610f\u8b58\u3057\u305f\u304c\u3001\u7406\u8ad6\u304c\u5fdc\u7528\u306e\u9700\u8981\u306b\u3053\u305f\u3048\u3089\u308c\u308b\u5c40\u9762\u306f\u975e\u7c98\u6027\u3067\u306f\u300c\u6ce2\u300d\u3001\u5206\u5b50\u7c98\u6027\u3092\u52a0\u3048\u3066\u3082\u300c\u7d30\u3044\u7ba1\u306e\u6d41\u308c\u300d\u306b\u9650\u3089\u308c\u305f\u3002\u5fdc\u7528\u306e\u6c34\u529b\u5b66\u306f\u7406\u8ad6\u3068\u306f\u5225\u306b\u7d4c\u9a13\u5247\u306b\u3088\u3089\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u6642\u4ee3\u304c\u9577\u304f\u7d9a\u3044\u305f\u3002\u3088\u3046\u3084\u304f1930\u5e74\u4ee3\u306b\u3001\u6c34\u306e\u62b5\u6297\u3092\u542b\u3080\u591a\u304f\u306e\u554f\u984c\u306b\u3064\u3044\u3066\u3001\u7406\u8ad6\u3068\u5fdc\u7528\u3068\u304c\u3064\u306a\u304c\u3063\u3066\u304d\u305f\u306e\u3060\u3002<\/p>\n<p>\u7b2c1\u7ae0\u300c<em>\u529b\u5b66\u306e\u65b9\u7a0b\u5f0f<\/em>\u300d\u300218\u4e16\u7d00\u30e8\u30fc\u30ed\u30c3\u30d1\u3002<br \/>\nDaniel Bernoulli\u304c\u3001\u5bb9\u5668\u306e\u6c34\u4f4d\u3068\u7ba1\u304b\u3089\u6d41\u308c\u51fa\u308b\u6d41\u901f\u306e\u95a2\u4fc2\u3092\u3001\u300c\u6d3b\u529b\u300d(\u306e\u3061\u306e\u6982\u5ff5\u3067\u8fd1\u3044\u306e\u306f\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc)\u306b\u3088\u3063\u3066\u8aac\u660e\u3057\u3088\u3046\u3068\u3057\u3001\u4eca\u3082\u300c\u30d9\u30eb\u30cc\u30fc\u30a4\u306e\u6cd5\u5247\u300d\u3068\u547c\u3070\u308c\u308b\u95a2\u4fc2\u3092\u5c0e\u3044\u305f\u3002\u305d\u306e\u7236\u306eJohann Bernoulli\u3082\u91cd\u8981\u306a\u4ed5\u4e8b\u3092\u3057\u3066\u3044\u308b\u3002<br \/>\nd&#8217;Alembert\u306f\u3001\u305d\u306e\u540d\u3067\u77e5\u3089\u308c\u308b\u529b\u5b66\u306e\u539f\u7406\u3092\u6d41\u4f53\u306b\u9069\u7528\u3057\u305f\u3002\u6f6e\u6c50\u529b\u304c\u98a8\u3092\u8d77\u3053\u3059\u7406\u5c48\u3092\u8003\u3048\u305f(\u3042\u3068\u304b\u3089\u898b\u308c\u3070\u4e0d\u5b8c\u5168\u306a\u8003\u3048\u3060\u304c)\u3002\u7269\u4f53\u306e\u307e\u308f\u308a\u306e\u6d41\u308c\u306b\u3064\u3044\u3066\u306f\u3001\u7269\u4f53\u306b\u304a\u3088\u307c\u3059\u62b5\u6297\u304c(\u5b9f\u9a13\u3067\u306f\u3042\u308b\u306e\u306b)\u7406\u8ad6\u7684\u306b\u306f\u30bc\u30ed\u306b\u306a\u308b\u3068\u3044\u3046\u30d1\u30e9\u30c9\u30c3\u30af\u30b9\u3092\u793a\u3057\u305f\u3002\u672c\u66f8\u306e\u4e8c\u767e\u5e74\u3054\u3057\u306e\u554f\u984c\u3068\u3044\u3046\u306e\u306f\u3053\u308c\u306b\u59cb\u307e\u308b\u3082\u306e\u3060\u3002<br \/>\n\u305d\u3057\u3066\u4e0a\u306b\u8ff0\u3079\u305f\u3088\u3046\u306bEuler\u3068Lagrange\u304c\u9023\u7d9a\u4f53\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u306e\u8868\u73fe\u3092\u78ba\u7acb\u3057\u305f\u3002<br \/>\n\u5f7c\u3089\u304c\u304a\u3082\u306b\u901f\u5ea6\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306e\u3042\u308b\u6d41\u308c(\u6e26\u306a\u3057\u306e\u6d41\u308c)\u3092\u6271\u3063\u305f\u305f\u3081\u306b\u3001\u305d\u306e\u5f8c\u7d04\u767e\u5e74\u9593\u306e\u7406\u8ad6\u5bb6\u306e\u95a2\u5fc3\u306f\u305d\u308c\u306b\u96c6\u4e2d\u3057\u3066\u3057\u307e\u3063\u305f\u3002<\/p>\n<p>\u7b2c2\u7ae0\u300c<em>\u6ce2<\/em>\u300d\u300218\u4e16\u7d00\u672b\u304b\u308919\u4e16\u7d00\u306e\u30d5\u30e9\u30f3\u30b9\u3068\u30a4\u30ae\u30ea\u30b9\u3002<br \/>\n\u521d\u671f\u306e\u6d41\u4f53\u529b\u5b66\u306e\u7406\u8ad6\u306f\u3001\u6c34\u306e\u81ea\u7531\u8868\u9762\u306b\u3067\u304d\u308b\u6ce2\u3078\u306e\u5fdc\u7528\u306b\u306f\u3059\u3050\u306b\u5f79\u306b\u305f\u3063\u305f\u3002\u6ce2\u306e\u5fa9\u5143\u529b\u306f\u304a\u3082\u306b\u91cd\u529b\u3067\u3001\u6ce2\u9577\u306e\u77ed\u3044\u3082\u306e\u3067\u306f\u8868\u9762\u5f35\u529b\u304c\u304d\u304f\u3082\u306e\u3082\u3042\u308b\u3002\u305d\u306e\u5927\u90e8\u5206\u306f\u3001\u3061\u3062\u307e\u306a\u3044\u6d41\u4f53\u3001\u6e26\u306a\u3057\u3001\u7c98\u6027\u306a\u3057\u3068\u3044\u3046\u7406\u60f3\u5316\u3067\u6271\u3046\u3053\u3068\u304c\u3067\u304d\u305f\u3002\u5b64\u7acb\u6ce2(\u6709\u9650\u632f\u5e45\u3067\u3042\u308b\u3053\u3068\u304c\u5fc5\u8981)\u3082\u65e9\u3044\u6bb5\u968e\u3067(Scott Russell\u306b\u3088\u3063\u3066)\u8ab2\u984c\u3068\u3057\u3066\u51fa\u3055\u308c\u3066\u3044\u308b\u304c\u3001\u5927\u90e8\u5206\u306e\u7814\u7a76\u306f\u3001\u5fae\u5c0f\u632f\u5e45\u306e\u6ce2\u306e\u7406\u8ad6(\u7dda\u5f62\u8ad6\u3001\u5f31\u3044\u975e\u7dda\u5f62\u8ad6)\u3067\u3042\u308a\u3001\u4e09\u89d2\u95a2\u6570\u6210\u5206\u306b\u5206\u89e3\u3059\u308b\u30d5\u30fc\u30ea\u30a8\u89e3\u6790\u306e\u65b9\u6cd5\u3068\u3068\u3082\u306b\u767a\u9054\u3057\u305f\u3002<br \/>\n\u6f6e\u6c50\u306e\u8a08\u7b97\u306fLaplace\u306b\u3088\u308b\u539a\u3055\u4e00\u5b9a\u306e\u8a08\u7b97\u304b\u3089\u3001\u6d77\u5e95\u5730\u5f62\u3092\u8003\u616e\u3057\u305f\u3082\u306e\u306b\u767a\u9054\u3057\u305f\u3002<\/p>\n<p>\u7b2c3\u7ae0\u300c<em>\u7c98\u6027<\/em>\u300d\u300219\u4e16\u7d00\u306e\u30d5\u30e9\u30f3\u30b9\u3068\u30a4\u30ae\u30ea\u30b9\u3002<br \/>\n\u7c98\u6027\u3068\u306f\u6d41\u4f53\u5185\u90e8\u306e\u6469\u64e6\u3067\u3042\u308b\u3002Euler\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u306b\u7c98\u6027\u9805\u3092\u52a0\u3048\u305f\u3082\u306e\u3092Navier-Stokes\u65b9\u7a0b\u5f0f\u3068\u3044\u3046\u3002\u3053\u308c\u306b\u306f\u30d5\u30e9\u30f3\u30b9\u306eNavier\u306e\u307b\u304bCauchy, Poisson, Saint-Venant\u3068\u30a4\u30ae\u30ea\u30b9\u306eStokes\u304c\u305d\u308c\u305e\u308c\u8ca2\u732e\u3057\u3066\u3044\u308b\u3002\u5fd8\u308c\u3089\u308c\u3066\u518d\u767a\u898b\u3055\u308c\u305f\u3088\u3046\u3060\u3002\u3053\u3053\u306b\u51fa\u3066\u304f\u308b\u30d5\u30e9\u30f3\u30b9\u4eba\u306e\u5b66\u8005\u306f\u3001\u3044\u305a\u308c\u3082&Eacute;cole Polytechnique\u3067\u6559\u80b2\u3092\u53d7\u3051\u3001\u305d\u3053\u307e\u305f\u306f&Eacute;cole des Ponts et Chauss&eacute;es (\u571f\u6728\u5b66\u6821)\u305d\u306e\u307b\u304b\u306e\u5fdc\u7528\u6280\u8853\u306e\u9ad8\u7b49\u6559\u80b2\u6a5f\u95a2\u3067\u50cd\u3044\u305f\u4eba\u3060\u3002\u305f\u3060\u3057Navier\u306f\u5fdc\u7528\u5fd7\u5411\u3060\u3063\u305f\u306e\u306b\u5bfe\u3057\u3066Cauchy\u306f\u6570\u5b66\u7684\u7406\u8ad6\u5bb6\u3001\u3068\u3044\u3046\u3088\u3046\u306b\u5404\u4eba\u306e\u5fd7\u5411\u306e\u9055\u3044\u306f\u3042\u308b\u3002Navier\u306f\u5206\u5b50\u904b\u52d5\u8ad6\u7684\u306a\u8003\u3048\u3092\u3082\u3068\u306b\u76f4\u89b3\u7684\u306b\u5fdc\u529b\u306e\u5f62\u3092\u8003\u3048\u305f\u3002\u9023\u7d9a\u4f53\u306e\u5185\u90e8\u306b\u50cd\u304f\u5fdc\u529b\u3068\u3057\u3066\u5b9a\u5f0f\u5316\u3057\u305f\u306e\u306fCauchy\u306e\u529f\u7e3e\u3068\u3044\u3048\u305d\u3046\u3060\u3002<br \/>\n\u30a4\u30ae\u30ea\u30b9\u3067\u306f\u3053\u306e\u5206\u91ce\u306e\u7814\u7a76\u306f\u9045\u308c\u3066\u59cb\u307e\u3063\u305f\u3002Stokes\u306f\u3001\u6e2c\u5730\u306b\u4f7f\u308f\u308c\u3066\u3044\u305f\u3075\u308a\u3053\u306e\u7a7a\u6c17\u306b\u3088\u308b\u9045\u308c\u3092\u5b9a\u91cf\u3057\u305f\u3044\u3068\u3044\u3046\u52d5\u6a5f\u304b\u3089\u6d41\u4f53\u304b\u3089\u56fa\u4f53\u306b\u50cd\u304f\u529b\u3092\u8003\u3048\u308b\u3088\u3046\u306b\u306a\u3063\u305f\u3002<br \/>\nNavier-Stokes\u65b9\u7a0b\u5f0f\u3067\u3001\u7d30\u3044\u7ba1\u306e\u6d41\u901f\u306f\u304b\u306a\u308a\u8aac\u660e\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u3063\u305f\u3002\u3057\u304b\u3057\u958b\u6c34\u8def\u306b\u306f\u5f79\u306b\u305f\u305f\u305a\u3001\u6c34\u7406\u5b66\u306f\u3042\u3044\u304b\u308f\u3089\u305a\u7d4c\u9a13\u5247\u306b\u3082\u3068\u3065\u304f\u3082\u306e\u3060\u3063\u305f\u3002<\/p>\n<p>\u7b2c4\u7ae0\u300c<em>\u6e26<\/em>\u300d\u300219\u4e16\u7d00\u5f8c\u534a\u306e\u30c9\u30a4\u30c4\u3002\u307b\u307cHelmholtz\u3072\u3068\u308a\u306e\u4ed5\u4e8b\u3092\u3081\u3050\u308b\u8a71\u984c\u3002<br \/>\nHelmholtz\u306f\u611f\u899a\u306e\u7269\u7406\u3001\u751f\u7406\u3001\u5fc3\u7406\u306b\u307e\u305f\u304c\u308b\u95a2\u5fc3\u3092\u3082\u3063\u3066\u3044\u305f\u3002\u305d\u306e\u4f8b\u3068\u3057\u3066\u30d1\u30a4\u30d7\u30aa\u30eb\u30ac\u30f3\u306e\u97f3\u3092\u6271\u3044\u3001\u7ba1\u306e\u5883\u754c\u6761\u4ef6\u306b\u5408\u3046\u632f\u52d5\u89e3\u3092\u6c42\u3081\u308b\u52aa\u529b\u3092\u3057\u305f\u30021-3\u7ae0\u306b\u767b\u5834\u3057\u305f\u4eba\u3005\u3068\u9055\u3063\u3066\u3001Helmholtz\u306f\u6d41\u4f53\u306e\u904b\u52d5\u304c\u6e26\u904b\u52d5\u3092\u542b\u3080\u306e\u306f\u5f53\u7136\u3068\u3068\u3089\u3048\u3066\u3044\u305f\u30025\u7ae0\u306b\u767b\u5834\u3059\u308b\u4eba\u3005\u3068\u9006\u306b\u3001\u96fb\u78c1\u6c17\u5b66\u304b\u3089\u6d41\u4f53\u529b\u5b66\u3078\u306e\u985e\u63a8\u3092\u3057\u305f\u3002\u6e26\u5ea6\u304c\u96c6\u4e2d\u3057\u305f\u6e26\u9762(vortex sheet)\u304c\u3042\u308a\u3001\u305d\u3053\u306b\u306f\u6d41\u308c\u306e\u4e0d\u9023\u7d9a\u3082\u3042\u308b\u3068\u8003\u3048\u305f\u30022\u6b21\u5143\u306e\u554f\u984c\u3092\u8907\u7d20\u5e73\u9762\u3067\u3068\u3089\u3048\u308b\u65b9\u6cd5\u3082\u958b\u767a\u3057\u305f\u3002\u7b49\u89d2\u5199\u50cf\u306e\u7279\u7570\u70b9\u3067\u901f\u5ea6\u304c\u4e0d\u9023\u7d9a\u3068\u306a\u308b\u3002<br \/>\n\u6c17\u8c61\u306b\u3082\u305f\u3073\u305f\u3073\u95a2\u5fc3\u3092\u793a\u3057\u305f\u3002\u5927\u6c17\u306f\u6e26\u306b\u6e80\u3061\u305f\u3082\u306e\u3067\u3042\u308b\u3068\u8003\u3048\u3001\u4e0d\u9023\u7d9a\u3082\u91cd\u8996\u3057\u305f\u3002\u71b1\u529b\u5b66\u306e\u767a\u9054\u306b\u3082\u8ca2\u732e\u3057\u305fHelmholtz\u306e\u3053\u3068\u306a\u306e\u3067\u5f53\u7136\u306e\u3053\u3068\u306a\u304c\u3089\u3001\u71b1\u304c\u304b\u304b\u308f\u308b\u30d7\u30ed\u30bb\u30b9\u3082\u91cd\u8996\u3057\u305f\u3002<br \/>\n-\u5d50\u306e\u539f\u56e0\u306bEspy\u306e\u5bfe\u6d41\u8aac\u3092\u53d7\u3051\u5165\u308c\u305f\u3046\u3048\u3067\u4f4e\u6c17\u5727\u6027\u6e26\u3068\u7d50\u3073\u3064\u3051\u305f(\u3053\u308c\u306f\u4eca\u3082\u6709\u52b9\u306a\u8003\u3048)\u3002<br \/>\n-\u5927\u6c17\u5927\u5faa\u74b0\u306b\u5927\u898f\u6a21\u306a\u4e0d\u9023\u7d9a\u9762\u3092\u8003\u3048\u305f(\u3053\u308c\u306f\u4eca\u304b\u3089\u898b\u308b\u3068\u6b63\u3057\u304f\u306a\u3044\u304cBjerknes\u89aa\u5b50\u306e\u524d\u7dda\u8ad6\u306e\u3055\u304d\u304c\u3051\u3068\u306f\u3044\u3048\u308b\u3060\u308d\u3046)\u3002<br \/>\n-\u5bc6\u5ea6\u304c\u4e0d\u9023\u7d9a\u306a2\u5c64\u306e\u9593\u3067\u6ce2\u304c\u6025\u6fc0\u306b\u767a\u9054\u3059\u308b\u6761\u4ef6(\u4eca\u306e\u7528\u8a9e\u3067Kelvin-Helmholtz\u4e0d\u5b89\u5b9a)\u3092\u793a\u3057\u305f\u3002<\/p>\n<p>\u7b2c5\u7ae0\u300c<em>\u4e0d\u5b89\u5b9a<\/em>\u300d\u300219\u4e16\u7d00\u5f8c\u534a\u306e\u30a4\u30ae\u30ea\u30b9\u3002<br \/>\n\u3053\u306e\u7ae0\u3067\u306f\u3044\u308d\u3044\u308d\u306a\u975e\u5b9a\u5e38\u6d41\u3084\u6e26\u306b\u6e80\u3061\u305f\u6d41\u308c\u306e\u7814\u7a76\u304c\u9032\u3093\u3060\u3053\u3068\u304c\u3068\u308a\u3042\u3052\u3089\u308c\u3066\u3044\u308b\u3002<br \/>\n\u4e0d\u5b89\u5b9a\u3068\u3044\u3046\u6982\u5ff5\u306e\u72ed\u3044\u610f\u5473\u3067\u306f\u3001\u306a\u3081\u3089\u304b\u306a\u6d41\u308c\u306b\u7d30\u304b\u3044\u6442\u52d5\u304c\u52a0\u308f\u308b\u3068\u304d\u3001\u6442\u52d5\u304c\u5897\u5e45\u3059\u308b\u5834\u5408\u306b\u3001\u306a\u3081\u3089\u304b\u306a\u6d41\u308c\u304c\u4e0d\u5b89\u5b9a\u306a\u306e\u3060\u3002\u3053\u306e\u610f\u5473\u3067\u306e\u4e3b\u8981\u306a\u6210\u679c\u3068\u3057\u3066\u306f\u3001\u5e73\u884c\u6d41\u306f\u6d41\u901f\u30d7\u30ed\u30d5\u30a1\u30a4\u30eb\u306b\u5909\u66f2\u70b9\u304c\u3042\u308b\u3068\u4e0d\u5b89\u5b9a\u3067\u3042\u308b\u3068\u3044\u3046Rayleigh\u306e\u7406\u8ad6\u304c\u3042\u308b\u3002<br \/>\n\u305f\u3060\u3057\u3001William Thomson (Kelvin)\u3092\u306f\u3058\u3081\u30a4\u30ae\u30ea\u30b9\u306e\u591a\u304f\u306e\u5b66\u8005\u306e\u304a\u3082\u306a\u95a2\u5fc3\u306f\u3001\u73fe\u5b9f\u306e\u6c34\u3084\u7a7a\u6c17\u3088\u308a\u3082\u3001\u5149\u30fb\u96fb\u78c1\u6c17\u3092\u30a8\u30fc\u30c6\u30eb\u3068\u3044\u3046\u6d41\u4f53\u306e\u73fe\u8c61\u3068\u3057\u3066\u8aac\u660e\u3059\u308b\u3053\u3068(\u306e\u3061\u76f8\u5bfe\u8ad6\u306b\u3088\u3063\u3066\u5426\u5b9a\u3055\u308c\u305f\u8003\u3048)\u306b\u3042\u3063\u305f\u3002<\/p>\n<p>\u7b2c6\u7ae0\u300c<em>\u4e71\u6d41<\/em>\u300d\u300219\u4e16\u7d00\u306e\u30d5\u30e9\u30f3\u30b9\u3068\u30a4\u30ae\u30ea\u30b9\u3002<br \/>\n19\u4e16\u7d00\u306e\u30d5\u30e9\u30f3\u30b9\u3067\u306f\u3001\u6c34\u8def\u3084\u7ba1\u3078\u306e\u5fdc\u7528\u306e\u305f\u3081\u3001\u5b9f\u9a13\u306b\u3082\u3068\u3065\u304f\u7814\u7a76\u304c\u884c\u306a\u308f\u308c\u305f\u3002\u6d41\u901f\u304c\u901f\u304f\u306a\u308b\u3068\u6d41\u308c\u304c\u4e71\u308c\u3001\u62b5\u6297\u306e\u6d41\u901f\u4f9d\u5b58\u6027\u306e\u5f62\u304c\u5909\u308f\u308b\u3053\u3068\u304c\u8a8d\u8b58\u3055\u308c\u305f\u3002Saint-Venant\u3084Boussinesq\u304c\u7406\u8ad6\u5316\u3092\u8a66\u307f\u305f\u3002<br \/>\n19\u4e16\u7d00\u5f8c\u534a\u306e\u30a4\u30ae\u30ea\u30b9\u3067\u3001\u304a\u3082\u306bReynolds\u306b\u3088\u3063\u3066\u3001\u5b9f\u9a13\u3092\u8aac\u660e\u3059\u308b\u7406\u8ad6\u3092\u8003\u3048\u308b\u614b\u5ea6\u3067\u7814\u7a76\u304c\u9032\u3093\u3060\u3002\u7c98\u6027\u30bc\u30ed\u306e\u6975\u9650\u3068\u7c98\u6027\u306a\u3057\u306e\u554f\u984c\u306e\u89e3\u3068\u306f\u9055\u3046\u3053\u3068\u3001\u6e26\u306e\u96c6\u56e3\u304c\u7c98\u6027\u306e\u3088\u3046\u306b\u50cd\u304f\u3053\u3068(Reynolds\u5fdc\u529b\u306e\u8003\u3048)\u3001\u6570\u91cf\u306e\u6bd4\u304c\u91cd\u8981\u3067\u3042\u308b\u3053\u3068(\u6b21\u5143\u89e3\u6790\u306e\u8003\u3048)\u3001\u305d\u3057\u3066\u306e\u3061\u306bReynolds\u6570(Re)\u3068\u547c\u3070\u308c\u308b\u6163\u6027\u9805\u3068\u7c98\u6027\u9805\u306e\u6bd4\u306b\u81e8\u754c\u5024\u304c\u3042\u308aRe\u304c\u5c0f\u3055\u3044\u3068\u5c64\u6d41\u3001\u5927\u304d\u3044\u3068\u4e71\u6d41\u306b\u306a\u308b\u3053\u3068\u3092\u793a\u3057\u305f\u3002<\/p>\n<p>\u7b2c7\u7ae0\u300c<em>\u6297\u529b\u3068\u63da\u529b<\/em>\u300d\u3002\u91cd\u8981\u306a\u90e8\u5206\u306f20\u4e16\u7d00\u306e\u6700\u521d\u306e3\u5206\u306e1\u304f\u3089\u3044\u306e\u30c9\u30a4\u30c4\u306ePrandtl\u3092\u4e2d\u5fc3\u3068\u3059\u308b\u4eba\u3005\u3002<br \/>\n\u7269\u4f53\u306e\u307e\u308f\u308a\u306e\u6d41\u308c\u306b\u3064\u3044\u3066\u300119\u4e16\u7d00\u30d5\u30e9\u30f3\u30b9\u306eSaint-Venant\u3084Boussinesq\u306f\u3001\u5c64\u6d41\u306e\u5834\u5408\u306b\u3064\u3044\u3066\u306f\u7406\u8ad6\u7684\u306b\u3001\u4e71\u6d41\u306e\u5834\u5408\u306f\u7d4c\u9a13\u7684\u306b\u6271\u3063\u305f\u3002<br \/>\nHelmholtz\u306f\u4e0d\u9023\u7d9a\u9762(\u6e26\u9762)\u3092\u8003\u3048\u305f\u3002<br \/>\n\u8239\u304c\u52d5\u304f\u3068\u304d\u306e\u6c34\u306e\u62b5\u6297\u306f\u3001\u8239\u304c\u9045\u3044\u3046\u3061\u306f\u8239\u306e\u69cb\u9020\u3084\u7a4d\u8f09\u91cf\u306b\u6bd4\u3079\u3066\u91cd\u8981\u8996\u3055\u308c\u305a\u3001\u84b8\u6c17\u8239\u306e\u6642\u4ee3\u306b\u306a\u3063\u3066\u91cd\u8981\u8996\u3055\u308c\u308b\u3088\u3046\u306b\u306a\u3063\u305f\u3002\u30a4\u30ae\u30ea\u30b9\u79d1\u5b66\u632f\u8208\u5354\u4f1a(BAAS)\u304c1831\u5e74\u306b\u767a\u8db3\u3059\u308b\u3068\u3059\u3050\u306b\u3053\u306e\u8ab2\u984c\u306b\u95a2\u3059\u308b\u59d4\u54e1\u4f1a\u304c\u3064\u304f\u3089\u308c\u305f\u3002\u305d\u308c\u3092\u304d\u3063\u304b\u3051\u306bRankine\u3084Froude\u304c\u304a\u3082\u306b\u6a21\u578b\u5b9f\u9a13\u306b\u3088\u308b\u7814\u7a76\u3092\u9032\u3081\u3001\u5b9f\u7528\u306b\u306a\u308b\u5f0f\u304c\u5f97\u3089\u308c\u305f\u304c\u3001\u305d\u308c\u306f\u5b9f\u9a13\u5f0f\u3067\u3042\u308a\u7406\u8ad6\u306f\u3057\u3063\u304b\u308a\u3057\u3066\u3044\u306a\u304b\u3063\u305f\u3002<br \/>\n20\u4e16\u7d00\u521d\u3081\u3001Prandtl\u306f\u307e\u305aHannover\u5de5\u79d1\u5b66\u6821(Techniche Hochschule)\u3001\u306e\u3061G&ouml;ttingen\u5927\u5b66\u3067\u3001\u98a8\u6d1e\u5b9f\u9a13\u3068\u7406\u8ad6\u306b\u3088\u308b\u7814\u7a76\u3092\u3057\u305f\u3002\u5883\u754c\u5c64\u3084\u6df7\u5408\u8ddd\u96e2\u7406\u8ad6\u306e\u6982\u5ff5\u3092\u69cb\u7bc9\u3057\u3001\u7ffc\u306e\u307e\u308f\u308a\u306e\u6d41\u308c\u3068\u62b5\u6297\u304c\u6c42\u3081\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u3063\u305f\u3002(\u7ffc\u306e\u5f8c\u9762\u3067\u6d41\u308c\u306e\u5265\u96e2\u3068\u547c\u3070\u308c\u308b\u73fe\u8c61\u304c\u8d77\u3053\u308b\u6761\u4ef6\u3082\u7814\u7a76\u3055\u308c\u305f\u304c\u3001\u5265\u96e2\u3057\u305f\u3042\u3068\u306e\u6d41\u308c\u306b\u3064\u3044\u3066\u306f\u4eca\u3082\u3088\u304f\u308f\u304b\u3089\u306a\u3044\u3002)<br \/>\n\u98db\u884c\u6a5f\u306e\u958b\u767a\u306f\u3001\u521d\u671f\u306eWright\u5144\u5f1f\u306a\u3069\u306f\u5b9f\u9a13\u306f\u3057\u305f\u304c\u307e\u3063\u305f\u304f\u7d4c\u9a13\u7684\u3060\u3063\u305f\u3002Prandtl\u304a\u3088\u3073\u30a4\u30ae\u30ea\u30b9\u306eLanchester\u306e\u7814\u7a76\u6210\u679c\u304c\u5e83\u307e\u3063\u3066\u3001\u822a\u7a7a\u306e\u79d1\u5b66\u3068\u6280\u8853\u304c\u7d50\u3073\u3064\u3044\u305f\u3002<\/p>\n<p>\u7b2c8\u7ae0\u300c<em>\u7d50\u8ad6<\/em>\u300d\u3002<br \/>\n(\u529b\u5b66\u3001\u96fb\u78c1\u6c17\u5b66\u3001\u71b1\u529b\u5b66\u306f\u57fa\u790e\u304c\u767a\u9054\u3057\u3066\u304b\u3089\u3059\u3050\u5fdc\u7528\u304c\u3067\u304d\u305f\u304c) \u6d41\u4f53\u529b\u5b66\u306f\u3001\u73fe\u5b9f\u4e16\u754c\u3078\u306e\u5fdc\u7528\u306e\u671f\u5f85\u304c\u3042\u3063\u305f\u306b\u3082\u304b\u304b\u308f\u3089\u305a\u3001\u57fa\u790e\u65b9\u7a0b\u5f0f\u304b\u3089\u3001\u9ad8\u3044Reynolds\u6570\u306e\u3082\u3068\u3067\u306e\u62b5\u6297\u306e\u5f0f\u304c\u5f97\u3089\u308c\u308b\u307e\u3067\u3001\u7d042\u4e16\u7d00\u304b\u304b\u3063\u305f\u3002\u3042\u3068\u3067\u308f\u304b\u3063\u305f\u56f0\u96e3\u3068\u3057\u3066\u3001\u7121\u9650\u306e\u81ea\u7531\u5ea6\u3001\u975e\u7dda\u5f62\u6027\u3001\u4e0d\u5b89\u5b9a\u6027\u304c\u3042\u3063\u305f\u3002(\u4e0d\u5b89\u5b9a\u6027\u306f\u4ed6\u306e\u529b\u5b66\u3067\u306f\u7279\u6b8a\u73fe\u8c61\u3060\u304c\u3001\u6d41\u4f53\u3067\u306f\u3042\u308a\u3075\u308c\u305f\u3053\u3068\u306a\u306e\u3060\u3002)  \u7406\u8ad6\u3082\u76f4\u89b3\u3082\u3042\u307e\u308a\u5f79\u306b\u305f\u305f\u305a\u3001\u5177\u4f53\u7684\u73fe\u8c61\u306b\u624b\u304c\u304b\u308a\u3092\u6c42\u3081\u305f\u3002<br \/>\n\u5fdc\u7528\u304b\u3089\u57fa\u790e\u3078\u306e\u5f71\u97ff\u304c(\u8457\u8005\u306b\u3088\u308c\u3070\u3001\u4ed6\u306e\u5206\u91ce\u306b\u6bd4\u3079\u3066)\u91cd\u8981\u3060\u3002\u5f71\u97ff\u306e\u4e0e\u3048\u304b\u305f\u306b\u306f\u3001\u7d30\u304b\u3044\u307b\u3046\u304b\u3089\u3001 \u65b0\u3057\u3044\u8fd1\u4f3c\u306a\u3069\u306e\u65b9\u6cd5\u3001\u65b0\u3057\u3044\u6d3e\u751f\u7684\u6982\u5ff5\u3001\u57fa\u790e\u306e\u518d\u69cb\u6210\u3001\u57fa\u790e\u306e\u7f6e\u304d\u304b\u3048\u304c\u3042\u308b\u3002<br \/>\n\u300c\u3053\u306e\u3088\u3046\u306a\u5b66\u554f\u306e\u767a\u9054\u306e\u3057\u304b\u305f\u306f\u3001Kuhn\u306e\u901a\u5e38\u79d1\u5b66\u306b\u3082\u79d1\u5b66\u9769\u547d\u306b\u3082\u3042\u3066\u306f\u307e\u3089\u306a\u3044\u300d\u3068\u8457\u8005\u306f\u3044\u3046\u3002\u3057\u304b\u3057\u3001\u308f\u305f\u3057\u306e\u8003\u3048\u3067\u306f\u3001\u672c\u66f8\u306b\u66f8\u304b\u308c\u305f\u767a\u5c55\u5168\u4f53\u3092\u5de8\u8996\u7684\u306b\u307f\u308c\u3070\u300c\u30d1\u30e9\u30c0\u30a4\u30e0\u3092\u3082\u3064\u79d1\u5b66\u306e\u8a95\u751f\u300d\u3067\u3042\u308a\u3001\u7d30\u304b\u304f\u5206\u3051\u3066\u898b\u308c\u3070\u591a\u304f\u306e\u5c40\u9762\u3067\u300c\u652f\u914d\u7684\u767a\u60f3\u306e\u884c\u304d\u8a70\u307e\u308a\u2192\u5468\u8fba\u306e\u4ed6\u5206\u91ce\u304b\u3089\u306e\u65b0\u767a\u60f3\u306e\u5c0e\u5165\u2192\u652f\u914d\u7684\u767a\u60f3\u306e\u4ea4\u4ee3\u300d\u3068\u3044\u3046\u300c\u30d1\u30e9\u30c0\u30a4\u30e0\u306e\u4ea4\u4ee3\u300d\u3068\u3057\u3066\u8a8d\u8b58\u3067\u304d\u308b\u3053\u3068\u304c\u8d77\u304d\u3066\u3044\u308b\u3068\u601d\u3046\u3002<\/p>\n<p>\u6c17\u8c61\u5b66\u306e\u7acb\u5834\u304b\u3089\u898b\u308b\u3068\u3001\u6c17\u8c61\u5b66\u306b\u5fdc\u7528\u3055\u308c\u3066\u3044\u308b\u6d41\u4f53\u529b\u5b66\u306e\u524d\u53f2\u3068\u3057\u3066\u3001Navier-Stokes\u65b9\u7a0b\u5f0f\u306b\u52a0\u3048\u3066\u3001Helmholtz\u304c\u8003\u3048\u305f\u3053\u3068\u3068\u3001Reynolds\u304c\u8003\u3048\u305f\u3053\u3068\u3001\u4e71\u6d41\u5883\u754c\u5c64\u3068\u3044\u3046\u8003\u3048\u3001\u5883\u754c\u5c64\u306e\u6d41\u901f\u30d7\u30ed\u30d5\u30a1\u30a4\u30eb\u304c\u3042\u308b\u7406\u60f3\u5316\u306e\u3082\u3068\u3067\u5bfe\u6570\u578b\u306b\u306a\u308b\u3053\u3068(von K&aacute;rm&aacute;n, 1930\u5e74)\u306a\u3069\u306f\u91cd\u8981\u3060\u3002<br \/>\n\u3057\u304b\u3057\u3001\u6c17\u8c61\u5b66\u306e\u767a\u9054\u3092\u8ff0\u3079\u308b\u306a\u3089\u3070\u3001\u672c\u66f8\u304c\u5bfe\u8c61\u3068\u3059\u308b\u6642\u671f\u3068\u91cd\u306a\u308b1930\u5e74\u4ee3\u307e\u3067\u306e\u52d5\u304d\u3068\u3057\u3066\u3001\u6b21\u306e\u3082\u306e\u3054\u3068\u3092\u8ffd\u52a0\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3060\u308d\u3046\u3002<br \/>\n\u307e\u305a\u6c17\u8c61\u5b66\u306b\u542b\u307e\u308c\u308b\u5206\u91ce\u306e\u52d5\u304d\u3068\u3057\u3066<br \/>\n-V. Bjerknes\u306b\u3088\u308b\u7269\u7406\u7684\u6c17\u8c61\u89b3\u3002 \u6e26\u3084\u4e0d\u9023\u7d9a\u7dda\u306e\u6982\u5ff5\u306fHelmholtz\u304b\u3089\u3064\u306a\u304c\u308b\u306e\u3060\u3068\u601d\u3046\u3002<br \/>\n-Richardson (1922\u5e74)\u306b\u3088\u308b\u57fa\u790e\u65b9\u7a0b\u5f0f\u306b\u57fa\u3065\u304f\u4e88\u6e2c\u578b\u8a08\u7b97\u306e\u69cb\u60f3\u3002(Richardson\u306f\u5927\u6c17\u3092\u6e26\u306b\u6e80\u3061\u305f\u3082\u306e\u3068\u3068\u3089\u3048\u3066\u3044\u305f\u3002\u3069\u3061\u3089\u304b\u3068\u3044\u3048\u3070Reynolds\u304b\u3089\u3064\u306a\u304c\u308b\u306e\u3060\u308d\u3046\u304b?  \u306a\u304a\u30011922\u5e74\u306e\u672c\u3067\u306f\u5730\u8868\u9762\u3067\u306e\u6469\u64e6\u3084\u30a8\u30cd\u30eb\u30ae\u30fc\u4ea4\u63db\u3082\u8ad6\u3058\u3066\u3044\u308b\u306e\u3060\u304c\u3001\u601d\u3048\u3070\u307e\u3060\u305d\u306e\u5b9a\u91cf\u5316\u306b\u4f7f\u3048\u308b\u5883\u754c\u5c64\u7406\u8ad6\u306f\u672a\u5b8c\u6210\u3060\u3063\u305f\u306e\u3060\u3002)<br \/>\n\u305d\u308c\u304b\u3089\u3001\u57fa\u790e\u306e\u6d41\u4f53\u529b\u5b66\u306b\u542b\u307e\u308c\u308b\u5206\u91ce\u306e\u52d5\u304d\u3068\u3057\u3066<br \/>\n-G.I. Taylor\u3068\u305d\u306e\u5f8c\u306e\u82f1\u8a9e\u570f(\u3042\u3048\u3066\u4e2d\u5fc3\u5730\u3092\u3042\u3052\u308c\u3070Cambridge)\u306e\u6d41\u4f53\u529b\u5b66<br \/>\n-\u30bd\u9023\u306eKolmogorov\u306e\u78ba\u7387\u904e\u7a0b\u8ad6\u3001\u305d\u308c\u304c\u5408\u6d41\u3057\u305f\u4e71\u6d41\u7406\u8ad6<br \/>\n\u3092\u304a\u3055\u3048\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308b\u3068\u601d\u3046\u3002<\/p>\n<p>\u6298\u308a\u8fd4\u3057\u306e\u3042\u3068\u306b\u3001\u8a73\u3057\u3044\u76ee\u6b21\u3092\u3064\u3051\u308b\u3002<br \/>\n<!--more--><br \/>\n[Preface [v-x]<br \/>\nContents [xi-xii]<br \/>\nConvention and notation xiii[-xiv]<br \/>\n1. The dynamical equations 1<br \/>\n &#8211; 1.1 Daniel Bernoulli&#8217;s <i>Hydrodynamica<\/i> 4<br \/>\n &#8211; &#8211; 1.1.1 The principle of live forces<br \/>\n &#8211; &#8211; 1.1.2 Efflux<br \/>\n &#8211; &#8211; 1.1.3 Bernoulli&#8217;s law<br \/>\n &#8211; 1.2 Johann Bernoulli&#8217;s <i>Hydraulica<\/i> 9<br \/>\n &#8211; &#8211; 1.2.1 Translation<br \/>\n &#8211; &#8211; 1.2.2 Gorge<br \/>\n &#8211; 1.3 D&#8217;Alembert&#8217;s fluid dynamics 11<br \/>\n &#8211; &#8211; 1.3.1 The principle of dynamics<br \/>\n &#8211; &#8211; 1.3.2 Efflux revisited<br \/>\n &#8211; &#8211; 1.3.3 The cause of winds<br \/>\n &#8211; &#8211; 1.3.4 The resistance of fluids<br \/>\n &#8211; 1.4 Euler&#8217;s equations 23<br \/>\n &#8211; &#8211; 1.4.1 The Latin memoir<br \/>\n &#8211; &#8211; 1.4.2 The French memoirs<br \/>\n &#8211; 1.5 Lagrange&#8217;s analysis 26<br \/>\n &#8211; &#8211; 1.5.1 Methods of resolution<br \/>\n &#8211; &#8211; 1.5.2 Continuum dynamics<br \/>\n &#8211; &#8211; 1.5.3 The Lagrangian picture<br \/>\n2. Water waves 31<br \/>\n &#8211; 2.1 French mathematicians 32<br \/>\n &#8211; &#8211; 2.1.1 Laplace&#8217;s attempt<br \/>\n &#8211; &#8211; 2.1.2 Lagrangian foundations<br \/>\n &#8211; &#8211; 2.1.3 Poisson&#8217;s thorny, but thorough analysis<br \/>\n &#8211; &#8211; 2.1.4 Cauchy&#8217;s prize-winning memoir<br \/>\n &#8211; &#8211; 2.1.5 Apparent confirmations<br \/>\n &#8211; 2.2 Scott Russell, the naval engineer 47<br \/>\n &#8211; &#8211; 2.2.1 A horse&#8217;s discovery<br \/>\n &#8211; &#8211; 2.2.2 The great, solitary wave<br \/>\n &#8211; &#8211; 2.2.3 Wave-lined vessels<br \/>\n &#8211; &#8211; 2.2.4 Taming water waves<br \/>\n &#8211; &#8211; 2.2.5 The four orders<br \/>\n &#8211; 2.3 Tides and waves 56<br \/>\n &#8211; &#8211; 2.3.1 Russell&#8217;s illumination<br \/>\n &#8211; &#8211; 2.3.2 From Newton to Whewell<br \/>\n &#8211; &#8211; 2.3.3 Airy&#8217;s wave theory of tides<br \/>\n &#8211; &#8211; 2.3.4 From river tides to ocean tides<br \/>\n &#8211; &#8211; 2.3.5 The inverse method, for and against Russell<br \/>\n &#8211; 2.4 Finite waves 69<br \/>\n &#8211; &#8211; 2.4.1 Stokes&#8217;s BA [British Association] report<br \/>\n &#8211; &#8211; 2.4.2 Stokes on finite oscillatory waves<br \/>\n &#8211; &#8211; 2.4.3 Gerstner&#8217;s waves and ship rolling<br \/>\n &#8211; &#8211; 2.4.4 From wedge-shaped waves to solitary waves<br \/>\n &#8211; &#8211; 2.4.5 Boussinesq on solitary waves<br \/>\n &#8211; &#8211; 2.4.6 Torrents and tidal bores<br \/>\n &#8211; &#8211; 2.4.7 Rayleigh on the solitary wave<br \/>\n &#8211; &#8211; 2.4.8 The so-called KdV equation<br \/>\n &#8211; 2.5 The principles of interference 85<br \/>\n &#8211; &#8211; 2.5.1 Group velocity<br \/>\n &#8211; &#8211; 2.5.2 Thomson&#8217;s fishing line<br \/>\n &#8211; &#8211; 2.5.3 Rayleigh&#8217;s solution<br \/>\n &#8211; &#8211; 2.5.4 Houston&#8217;s paradox solved<br \/>\n &#8211; &#8211; 2.5.5 Echelon waves<br \/>\n &#8211; &#8211; 2.5.6 The stationary-phase method<br \/>\n &#8211; &#8211; 2.5.7 After-math<br \/>\n3. Viscosity 101<br \/>\n &#8211; 3.1 Mathematicians&#8217; versus engineers&#8217; fluids 103<br \/>\n &#8211; &#8211; 3.1.1 Resistance and retardation<br \/>\n &#8211; &#8211; 3.1.2 Fluid coherence<br \/>\n &#8211; &#8211; 3.1.3 Girard&#8217;s capillary tubes<br \/>\n &#8211; &#8211; 3.1.4 The retional and the practical<br \/>\n &#8211; 3.2 Navier: molecular mechanics of solids and fluids 109<br \/>\n &#8211; &#8211; 3.2.1 X+Ponts<br \/>\n &#8211; &#8211; 3.2.2 Laplacian physics<br \/>\n &#8211; &#8211; 3.2.3 Elastic beams and plates<br \/>\n &#8211; &#8211; 3.2.4 The general equations of elasticity<br \/>\n &#8211; &#8211; 3.2.5 A new hydrodynamic equation<br \/>\n &#8211; &#8211; 3.2.6 Boundary conditions<br \/>\n &#8211; &#8211; 3.2.7 A useless equation<br \/>\n &#8211; 3.3 Cauchy: stress and strain 119<br \/>\n &#8211; &#8211; 3.3.1 The stress system<br \/>\n &#8211; &#8211; 3.3.2 Strain and motion<br \/>\n &#8211; &#8211; 3.3.3 The perfectly inelastic body<br \/>\n &#8211; &#8211; 3.3.4 Final foundations?<br \/>\n &#8211; 3.4 Poisson: the rigors of discontinuitiy 122<br \/>\n &#8211; &#8211; 3.4.1 Laplacian motivations<br \/>\n &#8211; &#8211; 3.4.2 Sums versus integrals<br \/>\n &#8211; &#8211; 3.4.3 Navier&#8217;s defence<br \/>\n &#8211; &#8211; 3.4.4 Fluids as temporary solids<br \/>\n &#8211; 3.5 Saint-Venant: slides and shears 126<br \/>\n &#8211; &#8211; 3.5.1 Le Pont des Invalides<br \/>\n &#8211; &#8211; 3.5.2 Vicat&#8217;s ruptures<br \/>\n &#8211; &#8211; 3.5.3 Molecules, slides, and approximations<br \/>\n &#8211; &#8211; 3.5.4 On fluid motion<br \/>\n &#8211; &#8211; 3.5.5 A first-class burial<br \/>\n &#8211; &#8211; 3.5.6 Re-founding Navier&#8217;s equation<br \/>\n &#8211; &#8211; 3.5.7 Fluid resistance<br \/>\n &#8211; 3.6 Stokes: the pendulum 135<br \/>\n &#8211; &#8211; 3.6.1 A swimming mathematician<br \/>\n &#8211; &#8211; 3.6.2 The pendulum<br \/>\n &#8211; &#8211; 3.6.3 Fluid friction<br \/>\n &#8211; &#8211; 3.6.4 Elastic bodies, ether, and pipes<br \/>\n &#8211; &#8211; 3.6.5 Back to the pendulum<br \/>\n &#8211; 3.7 The Hagen-Poiseuille law 140<br \/>\n &#8211; &#8211; 3.7.1 Hagen&#8217;s pipes<br \/>\n &#8211; &#8211; 3.7.2 Dr Poiseuille&#8217;s capillary vessels<br \/>\n &#8211; &#8211; 3.7.3 A slow integration<br \/>\n4. Vortices 145<br \/>\n &#8211; 4.1 Sound the organ 146<br \/>\n &#8211; &#8211; 4.1.1 From acounsics to mathematics<br \/>\n &#8211; &#8211; 4.1.2 Organ pipes<br \/>\n &#8211; 4.2 Vortex motion 146<br \/>\n &#8211; &#8211; 4.2.1 Fundamental theorems<br \/>\n &#8211; &#8211; 4.2.2 The electromagnetic analogy<br \/>\n &#8211; &#8211; 4.2.3 Vortex sheets, lines, and rings<br \/>\n &#8211; &#8211; 4.2.4 German approbation, British enthusiasm, and French suspicion<br \/>\n &#8211; &#8211; 4.2.5 Friction<br \/>\n &#8211; 4.3 Vortex sheets 159<br \/>\n &#8211; &#8211; 4.3.1 Discontinuous motion<br \/>\n &#8211; &#8211; 4.3.2 Conformal mapping<br \/>\n &#8211; &#8211; 4.3.3 Pipe blowing<br \/>\n &#8211; 4.4 Foehn, cycloes, and storms 166<br \/>\n &#8211; &#8211; 4.4.1 Outdoor thermodynamics<br \/>\n &#8211; &#8211; 4.4.2 General circulation<br \/>\n &#8211; &#8211; 4.4.3 Tropical storms<br \/>\n &#8211; 4.5 Trade winds 172<br \/>\n &#8211; &#8211; 4.5.1 A revelation<br \/>\n &#8211; &#8211; 4.5.2 The thermal genesis of discontinuity surfaces<br \/>\n &#8211; &#8211; 4.5.3 Corrections and additions<br \/>\n &#8211; &#8211; 4.5.4 Anticipations<br \/>\n &#8211; 4.6 Wave formation 178<br \/>\n &#8211; &#8211; 4.6.1 From atmospheric waves to water waves<br \/>\n &#8211; &#8211; 4.6.2 A minimum principle<br \/>\n &#8211; &#8211; 4.6.3 Dubious idealizations<br \/>\n5. Instability 183<br \/>\n &#8211; 5.1 Divergent flows 184<br \/>\n &#8211; &#8211; 5.1.1 Fluid jets<br \/>\n &#8211; &#8211; 5.1.2 The pendulum<br \/>\n &#8211; &#8211; 5.1.3 Ether drag<br \/>\n &#8211; 5.2 Discountinous flow 188<br \/>\n &#8211; 5.3 Vortex atoms 190<br \/>\n &#8211; &#8211; 5.3.1 Hydrodynamic analogies<br \/>\n &#8211; &#8211; 5.3.2 A new theory of matter<br \/>\n &#8211; &#8211; 5.3.3 Labyrinthine degradation<br \/>\n &#8211; &#8211; 5.3.4 Delusion<br \/>\n &#8211; 5.4 The Thomson-Stokes debate 197<br \/>\n &#8211; &#8211; 5.4.1 Conflicting ideals<br \/>\n &#8211; &#8211; 5.4.2 Coreless vortices, goring, and dead water<br \/>\n &#8211; &#8211; 5.4.3 Birth of discontinuity surfaces<br \/>\n &#8211; &#8211; 5.4.4 Separation and boundary layer<br \/>\n &#8211; &#8211; 5.4.5 Epilogue<br \/>\n &#8211; 5.5 Parallel flow 208<br \/>\n &#8211; &#8211; 5.5.1 From dancing flames to the inflection theorem<br \/>\n &#8211; &#8211; 5.5.2 Reynolds&#8217;s instabilities<br \/>\n &#8211; &#8211; 5.5.3 Thomson&#8217;s proofs of stability in viscous cases<br \/>\n &#8211; &#8211; 5.5.4 Challenging Thomson<br \/>\n &#8211; &#8211; 5.5.5 Rayleigh&#8217;s paradox<br \/>\n &#8211; &#8211; 5.5.6 Reynolds&#8217;s energetic approach<br \/>\n6. Turbulence 219<br \/>\n &#8211; 6.1 Hydraulic phenomenology 221<br \/>\n &#8211; &#8211; 6.1.1 Hydraulics versus hydrodynamics<br \/>\n &#8211; &#8211; 6.1.2 B{&#8216;e}langer&#8217;s backwater theory<br \/>\n &#8211; &#8211; 6.1.3 Hydraulic jumps<br \/>\n &#8211; &#8211; 6.1.4 Backwater energetics<br \/>\n &#8211; &#8211; 6.1.5 Rivers and torrents<br \/>\n &#8211; 6.2 Saint-Venant on tumultuous waters 229<br \/>\n &#8211; &#8211; 6.2.1 Tumultuous flow<br \/>\n &#8211; &#8211; 6.2.2 The effective viscosity<br \/>\n &#8211; &#8211; 6.2.3 Darcy&#8217;s and Bazin&#8217;s measurements<br \/>\n &#8211; 6.3 Boussinesq on open channels 233<br \/>\n &#8211; &#8211; 6.3.1 Terrestrial physics<br \/>\n &#8211; &#8211; 6.3.2 Eaux courantes<br \/>\n &#8211; &#8211; 6.3.3 Coriolis revisited<br \/>\n &#8211; &#8211; 6.3.4 Praise and neglect<br \/>\n &#8211; 6.4 The turbulent ether 239<br \/>\n &#8211; &#8211; 6.4.1 A hydraulic anomaly<br \/>\n &#8211; &#8211; 6.4.2 Turbulent rigidity<br \/>\n &#8211; &#8211; 6.4.3 The vortex sponge<br \/>\n &#8211; 6.5 Reynolds&#8217;s criterion 243<br \/>\n &#8211; &#8211; 6.5.1 Hagen&#8217;s transition<br \/>\n &#8211; &#8211; 6.5.2 An eccentric philosopher-engineer<br \/>\n &#8211; &#8211; 6.5.3 Revealing vortices<br \/>\n &#8211; &#8211; 6.5.4 The dimensional properties of matter<br \/>\n &#8211; &#8211; 6.5.5 Guessing the criterion<br \/>\n &#8211; &#8211; 6.5.6 Testing the criterion<br \/>\n &#8211; &#8211; 6.5.7 The two kinds of instability<br \/>\n &#8211; &#8211; 6.5.8 Private calculations<br \/>\n &#8211; &#8211; 6.5.9 Pipe discharge<br \/>\n &#8211; &#8211; 6.5.10 The Reynolds legend<br \/>\n &#8211; &#8211; 6.5.11 Color bands, magic cubes, and military discipline<br \/>\n &#8211; &#8211; 6.5.12 The philosophy of scales<br \/>\n &#8211; &#8211; 6.5.13 Proving the criterion<br \/>\n7. Drag and lift 264<br \/>\n &#8211; 7.1 Tentative theories 265<br \/>\n &#8211; &#8211; 7.1.1 Early iews on fluid resistance<br \/>\n &#8211; &#8211; 7.1.2 Discontinuity surfaces<br \/>\n &#8211; &#8211; 7.1.3 Turbulent wakes and shear layers<br \/>\n &#8211; 7.2 Ship resistance 273<br \/>\n &#8211; &#8211; 7.2.1 Rankine&#8217;s friction layer and stream lines<br \/>\n &#8211; &#8211; 7.2.2 Froude&#8217;s models<br \/>\n &#8211; 7.3 Boundary layers 283<br \/>\n &#8211; &#8211; 7.3.1 Prandtl&#8217;s Heidelberg paper<br \/>\n &#8211; &#8211; 7.3.2 Prandtl&#8217;s heuristics<br \/>\n &#8211; &#8211; 7.3.3 Lanchester and Rayleigh<br \/>\n &#8211; &#8211; 7.3.4 Slow reception<br \/>\n &#8211; &#8211; 7.3.5 Turbulent layers<br \/>\n &#8211; &#8211; 7.3.6 Instabilities<br \/>\n &#8211; &#8211; 7.3.7 Developed turbulence<br \/>\n &#8211; &#8211; 7.3.8 The mixing length<br \/>\n &#8211; &#8211; 7.3.9 The logarithmic profile<br \/>\n &#8211; 7.4 Wing theory 302<br \/>\n &#8211; &#8211; 7.4.1 Lanchester&#8217;s theory<br \/>\n &#8211; &#8211; 7.4.2 Kutta&#8217;s and Joukowski&#8217;s theories<br \/>\n &#8211; &#8211; 7.4.3 Prandtl&#8217;s theory<br \/>\n8. Conclusion 323<br \/>\nAppendix A. Modern discussion of d&#8217;Alembert&#8217;s paradox 326<br \/>\nBibliography 329<br \/>\n &#8211; Bibliographic abbreviations 329<br \/>\n &#8211; Bibliography of primary literature 330<br \/>\n &#8211; Bibliography of secondary literature 344<br \/>\nIndex 350[-356]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Olivier DARRIGOL, 2005; paperback 2009: Worlds of Flow: A history of hydrodynamics from Bernoullis to Prandtl. [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-3597","post","type-post","status-publish","format-standard","hentry","category-dokusyo-memo-"],"_links":{"self":[{"href":"http:\/\/macroscope.world.coocan.jp\/yukukawa\/index.php?rest_route=\/wp\/v2\/posts\/3597","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/macroscope.world.coocan.jp\/yukukawa\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/macroscope.world.coocan.jp\/yukukawa\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/macroscope.world.coocan.jp\/yukukawa\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/macroscope.world.coocan.jp\/yukukawa\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3597"}],"version-history":[{"count":1,"href":"http:\/\/macroscope.world.coocan.jp\/yukukawa\/index.php?rest_route=\/wp\/v2\/posts\/3597\/revisions"}],"predecessor-version":[{"id":7663,"href":"http:\/\/macroscope.world.coocan.jp\/yukukawa\/index.php?rest_route=\/wp\/v2\/posts\/3597\/revisions\/7663"}],"wp:attachment":[{"href":"http:\/\/macroscope.world.coocan.jp\/yukukawa\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3597"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/macroscope.world.coocan.jp\/yukukawa\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3597"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/macroscope.world.coocan.jp\/yukukawa\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3597"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}