{"id":6328,"date":"2023-10-25T04:20:09","date_gmt":"2023-10-25T04:20:09","guid":{"rendered":"https:\/\/science-hub.click\/%E5%AE%8C%E7%92%A7%E3%81%AA%E6%B5%81%E4%BD%93%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC\/"},"modified":"2023-10-25T04:20:09","modified_gmt":"2023-10-25T04:20:09","slug":"%E5%AE%8C%E7%92%A7%E3%81%AA%E6%B5%81%E4%BD%93%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6%E8%A9%B3%E3%81%97%E3%81%8F%E8%A7%A3%E8%AA%AC","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=6328","title":{"rendered":"\u5b8c\u74a7\u306a\u6d41\u4f53\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac"},"content":{"rendered":"

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\u3053\u308c\u3089\u306f\u3001\u7c98\u5ea6\u4fc2\u6570<\/a><\/span>\u3068\u71b1\u4f1d\u5c0e<\/a><\/span>\u7387 (\u3053\u308c\u3089\u306e\u4fc2\u6570\u3060\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093) \u3068\u305d\u308c\u305e\u308c\u901f\u5ea6<\/a><\/span>\u305b\u3093\u65ad\u3068\u71b1\u52fe\u914d\u3068\u306e\u7a4d\u3067\u3042\u308a\u3001\u3053\u308c\u3089\u306f\u7121\u8996\u3067\u304d\u308b\u3082\u306e\u3067\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002<\/p>

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\u5b87\u5b99\u8ad6<\/a><\/span>\u3067\u306f\u3001\u5b87\u5b99\u3092<\/a><\/span>\u6e80\u305f\u3059\u3055\u307e\u3056\u307e\u306a\u5f62\u306e\u7269\u8cea\u306f<\/a><\/span>\u3001\u5c11\u306a\u304f\u3068\u3082\u5b87\u5b99\u304c\u5747\u8cea\u3067\u3042\u308b\u30b9\u30b1\u30fc\u30eb\u3067\u306f\u3001\u5b8c\u5168\u306a\u6d41\u4f53\u3068\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5b8c\u5168\u306a\u6d41\u4f53\u306f\u7b49\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u3067\u3042\u308b\u305f\u3081\u3001\u5b87\u5b99\u306e\u81a8\u5f35\u306f\u65ad\u71b1\u7684<\/a><\/span>\u3067\u3042\u308b\u3068\u8868\u73fe\u3055\u308c\u308b\u3053\u3068\u3082\u3042\u308a\u3001\u7279\u5b9a\u306e\u5074\u9762\u3067\u306f\u5916\u90e8\u3068\u71b1<\/a><\/span>\u4ea4\u63db\u3092\u884c\u308f\u306a\u3044\u6c17\u4f53<\/a><\/span>\u306e\u81a8\u5f35\u3068\u540c\u4e00\u8996\u3055\u308c\u307e\u3059<\/a><\/span>\u3002<\/p>

\u5fc5\u9808\u306e\u30d7\u30ed\u30d1\u30c6\u30a3<\/span><\/h2>

\u5b8c\u5168\u306a\u6d41\u4f53\u306f\u3001\u8cea\u91cf<\/a><\/span>\u4fdd\u5b58\u65b9\u7a0b\u5f0f\u3001\u7c98\u6027\u306e\u306a\u3044\u30aa\u30a4\u30e9\u30fc\u65b9\u7a0b\u5f0f\u3001\u975e\u6563\u9038\u6d41\u4f53\u306e\u57fa\u672c\u65b9\u7a0b\u5f0f\u3092\u5f62\u6210\u3059\u308b<\/a><\/span>\u3053\u308c\u3089 2 \u3064\u306e\u65b9\u7a0b\u5f0f\u3001\u304a\u3088\u3073\u71b1\u529b\u5b66<\/a><\/span>\u306e\u7b2c\u4e00\u6cd5\u5247\u306e\u30d0\u30fc\u30b8\u30e7\u30f3\u3001\u3053\u308c\u3089 2 \u3064\u306e\u5074\u9762 (\u6d41\u4f53\u529b\u5b66\u3068\u71b1\u529b\u5b66) \u306b\u5f93\u3044\u307e\u3059\u3002\u5bc6\u63a5\u306b\u7d50\u3073\u3064\u3044\u3066\u3044\u308b\u3053\u3068\u3002<\/p>

\u6700\u521d\u306e 2 \u3064\u306e\u65b9\u7a0b\u5f0f\u306f\u3001\u6d41\u4f53\u306e\u5bc6\u5ea6\u3092<\/a><\/span>\u03c1<\/i> \u3001\u5727\u529b<\/a><\/span>\u3092P<\/i> \u3001\u901f\u5ea6\u3092v<\/strong>\u3068\u3057\u3066\u8a18\u8ff0\u3057\u307e\u3059\u3002 <\/p>

$$ {\\frac{\\partial \\rho}{\\partial t} + \\nabla \\cdot (\\rho {\\mathbf{v}}) = 0} $$<\/div> \u3001 <\/dd>
$$ {\\frac{\\partial {\\mathbf{v}}}{\\partial t} + ({\\mathbf{v}} \\cdot \\nabla) {\\mathbf{v}} = – \\frac{\\nabla P}{\\rho} + {\\mathbf{f}}} $$<\/div> \u3001<\/dd><\/dl>

\u307e\u305f\u306f

$$ {{\\mathbf{f}}} $$<\/div>\u6d41\u4f53\u306b\u4f5c\u7528\u3059\u308b\u529b\u306e\u5bc6\u5ea6\u3092\u8868\u3057\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u5730\u7403\u306e\u91cd\u529b\u3092\u8003\u3048\u308b\u3068\u3001 <\/p>
$$ {{\\mathbf{f}} = {\\mathbf{g}}} $$<\/div> \u3001 <\/dd><\/dl>

$$ {{\\mathbf{g}}} $$<\/div>\u91cd\u529b\u52a0\u901f\u5ea6\u3092\u8868\u3057\u307e\u3059\u3002<\/p>
\n\"\u5b8c\u74a7\u306a\u6d41\u4f53\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\"<\/figure>

\u71b1\u529b\u5b66\u7684\u5074\u9762<\/span><\/h2>

\u901a\u5e38\u3001\u7269\u7406<\/a><\/span>\u30b7\u30b9\u30c6\u30e0 (\u3053\u306e\u6587\u8108<\/a><\/span>\u3067\u306f\u3001\u7279\u5b9a\u306e\u6d41\u4f53\u3092\u542b\u3080\u5c0f\u3055\u306a\u9818\u57df) \u306e\u5185\u90e8<\/a><\/span>\u30a8\u30cd\u30eb\u30ae\u30fc<\/a><\/span>\u5bc6\u5ea6\u306f\u3001\u305d\u306e\u5bc6\u5ea6\u3068\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc<\/a><\/span>\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u5b9f\u969b\u3001\u71b1\u529b\u5b66\u306e\u7b2c\u4e00\u6cd5\u5247\u3067\u306f\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u5185\u90e8\u30a8\u30cd\u30eb\u30ae\u30fcU \u306f<\/i>\u6b21\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u3068\u8ff0\u3079\u3066<\/a><\/span>\u3044\u307e\u3059\u3002<\/p>

d U<\/i> = \u2212 P<\/i> d V<\/i> + T<\/i> d S<\/i><\/span> \u3001<\/dd><\/dl>

\u3053\u3053\u3067\u3001 P \u306f<\/i>\u5727\u529b\u3001 V \u306f<\/i>\u4f53\u7a4d<\/a><\/span>\u3001 T \u306f<\/i>\u6e29\u5ea6\u3001 S \u306f<\/i>\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u3092\u8868\u3057\u307e\u3059\u3002\u5b8c\u5168\u306a\u6d41\u4f53\u306e\u5834\u5408\u3001\u5b9a\u7fa9<\/a><\/span>\u306b\u3088\u308ad S<\/i> = 0<\/span>\u306b\u306a\u308a\u307e\u3059\u3002<\/p>

d U<\/i> = \u2212 P<\/i> d V<\/i><\/span> \u3001<\/dd><\/dl>

\u3053\u308c\u306f\u3001\u6d41\u4f53\u8981\u7d20\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6\u3068\u5727\u529b\u306e\u9593\u306b\u306f\u5916\u90e8\u30d1\u30e9\u30e1\u30fc\u30bf<\/a><\/span>\u306b\u4f9d\u5b58\u305b\u305a\u4e00\u7fa9\u7684\u306a\u95a2\u4fc2\u304c\u3042\u308b\u3068\u8a00\u3046\u306e\u3068\u540c\u3058\u3067\u3059\u3002\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u308b\u5185\u90e8\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6\u306b\u79fb\u308b\u3068\u3001 <\/p>

$$ {\\epsilon = \\frac{U}{V}} $$<\/div> \u3001<\/dd><\/dl>

\u6b21\u306b\u53d6\u5f97\u3057\u307e\u3059<\/p>

d(\u03b5 V<\/i> ) = \u2212 P<\/i> d V<\/i><\/span> \u3001<\/dd><\/dl>

\u3057\u305f\u304c\u3063\u3066<\/p>

$$ {{\\mathrm{d}} \\epsilon = – (P + \\epsilon) \\frac{{\\mathrm{d}} V}{V}} $$<\/div> \u3002<\/dd><\/dl>

\u6570\u5b66\u7684\u5f62\u5f0f\u4e3b\u7fa9<\/span><\/h2>

\u5b8c\u5168\u306a\u6d41\u4f53\u306f\u3001\u904b\u52d5\u91cf<\/a><\/span>\u30a8\u30cd\u30eb\u30ae\u30fc \u30c6\u30f3\u30bd\u30ebT \u3092<\/strong>\u4f7f\u7528\u3057\u3066\u8a18\u8ff0\u3067\u304d\u307e\u3059\u3002\u305d\u3053\u304b\u3089\u3001\u5b8c\u5168\u6d41\u4f53\u304c\u5f93\u3046\u65b9\u7a0b\u5f0f (\u8cea\u91cf\u4fdd\u5b58\u3068\u30aa\u30a4\u30e9\u30fc\u3001\u71b1\u529b\u5b66\u306e\u7b2c\u4e00\u539f\u7406) \u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306f\u66f8\u304b\u308c\u3066\u3044\u307e\u3059<\/p>

$$ {{\\mathbf{T}} = \\left(P + \\rho\\right) \\frac{{\\mathbf{u}} \\otimes {\\mathbf{u}}}{c^2} – P {\\mathbf{g}}} $$<\/div> \u3001<\/dd><\/dl>

\u307e\u305f\u306f\u3001\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u306e\u89b3\u70b9\u304b\u3089\u3001 <\/p>

$$ {T^{\\alpha \\beta} = \\left(P + \\rho\\right) \\frac{u^\\alpha u^\\beta}{c^2} – P g^{\\alpha \\beta}} $$<\/div> \u3001<\/dd><\/dl>

\u3053\u3053\u3067\u3001 \u03c1 \u306f<\/span>\u6d41\u4f53\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6\u3001\u5185\u90e8\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6\u03b5<\/span>\u3068\u8cea\u91cf\u30a8\u30cd\u30eb\u30ae\u30fc<\/a><\/span>\u5bc6\u5ea6\u03bc c<\/i> 2<\/sup>\u306e<\/span>\u5408\u8a08\u3092\u8868\u3057\u307e\u3059\u3002\u03bc \u306f\u6d41\u4f53\u8981\u7d20\u306e\u5bc6\u5ea6\u3001 c<\/span>\u306f<\/i>\u5149\u306e\u901f\u5ea6<\/a><\/span>\u3001 u \u306f<\/strong>\u6d41\u4f53\u306e\u56db\u4e57\u901f\u5ea6 (\u3064\u307e\u308a\u3001\u3053\u306e\u8981\u7d20\u306e\u5168\u4f53\u7684\u306a<\/a><\/span>\u901f\u5ea6)\u3001\u304a\u3088\u3073g<\/strong>\u8a08\u91cf\u30c6\u30f3\u30bd\u30eb<\/a><\/span>\u3002\u7279\u6b8a\u76f8\u5bfe\u6027\u7406\u8ad6<\/a><\/span>\u3068\u4e00\u822c\u76f8\u5bfe\u6027\u7406\u8ad6<\/a><\/span>\u306f\u3001\u6d41\u4f53\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u904b\u52d5\u91cf\u30c6\u30f3\u30bd\u30eb\u306f\u300c\u4fdd\u5b58\u300d\u3055\u308c\u3066\u3044\u308b\u3001\u3064\u307e\u308a\u3001\u305d\u306e\u767a\u6563\u306f\u30bc\u30ed\u3067\u3042\u308b\u3068\u8ff0\u3079\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u65b9\u7a0b\u5f0f\u306f\u6210\u5206\u306e\u89b3\u70b9\u304b\u3089\u6b21\u306e\u3088\u3046\u306b\u66f8\u304b\u308c\u307e\u3059\u3002 <\/p>

$$ {D_\\alpha \\left(\\left(P + \\rho\\right) \\frac{u^\\alpha u^\\beta}{c^2} – P g^{\\alpha \\beta}\\right) = 0} $$<\/div> \u3001<\/dd><\/dl>

D \u306f\u3001<\/i>\u5e38\u5fae\u5206<\/a><\/span>(\u7279\u6b8a\u76f8\u5bfe\u6027\u7406\u8ad6) \u307e\u305f\u306f\u5171\u5909\u5fae\u5206<\/a><\/span>(\u4e00\u822c\u76f8\u5bfe\u6027\u7406\u8ad6) \u3092\u8868\u3057\u307e\u3059\u3002\u8a08\u7b97\u3059\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>

$$ {\\frac{u^\\alpha u^\\beta}{c^2} D_\\alpha \\left(P + \\rho\\right) + \\left(P + \\rho\\right) \\frac{u^\\alpha}{c^2} D_\\alpha u^\\beta + \\left(P + \\rho\\right) \\frac{u^\\beta}{c^2} D_\\alpha u^\\alpha – D^\\beta P = 0} $$<\/div> \u3002<\/dd><\/dl>

\u3053\u306e\u65b9\u7a0b\u5f0f\u306b\u3088\u308a\u3001\u524d\u8ff0\u306e 3 \u3064\u306e\u65b9\u7a0b\u5f0f\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>

\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3<\/a><\/span>1<\/div>

\u91cf<\/a><\/span>u<\/i> \u03b1<\/sup> D<\/i> \u03b1<\/sub> X \u306f<\/i>\u3001<\/span>\u6d41\u4f53\u8981\u7d20\u306e\u8ecc\u9053<\/a><\/span>\u306b\u6cbf\u3063\u305f\u91cfX<\/i>\u306e\u5909\u5316\u3092\u6e2c\u5b9a\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u305d\u308c\u306f\u6d41\u4f53\u8981\u7d20\u306b\u3088\u3063\u3066\u8f38\u9001\u3055\u308c\u308b\u3053\u306e\u91cf\u306e\u5909\u5316\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u4e00\u822c\u306bd \/ d\u03c4<\/span>\u3068\u547c\u3070\u308c\u307e\u3059\u3002\u03c4\u306f<\/span>\u6d41\u4f53\u8981\u7d20\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u9069\u5207\u306a\u6642\u9593<\/a><\/span>\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>

$$ {\\frac{u^\\beta}{c^2} \\frac{{\\mathrm{d}}}{{\\mathrm{d}} \\tau} \\left(P + \\rho\\right) + \\left(P + \\rho\\right) \\frac{1}{c^2} \\frac{{\\mathrm{d}} u^\\beta}{{\\mathrm{d}} \\tau} + \\left(P + \\rho\\right) \\frac{u^\\beta}{c^2} D_\\alpha u^\\alpha – D^\\beta P = 0} $$<\/div> \u3002<\/dd><\/dl>

\u3053\u306e\u65b9\u7a0b\u5f0f\u306e\u30b9\u30ab\u30e9\u30fc\u7a4d\u3092<\/a><\/span>\u56db\u8fba\u8a08\u7b97\u3067\u5b9f\u884c\u3059\u308b\u3068\u3001 \u03c4<\/span>\u306b\u95a2\u3059\u308b\u5c0e\u95a2\u6570\u3092\u70b9<\/a><\/span>\u3067\u793a\u3059\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>

$$ {\\left(\\dot P + \\dot \\rho\\right) + \\left(P + \\rho\\right) \\frac{u_\\beta}{c^2} \\dot u^\\beta + \\left(P + \\rho\\right) D_\\alpha u^\\alpha – \\dot P = 0} $$<\/div> \u3002<\/dd><\/dl>

\u5b9a\u6570\u30ce\u30eb\u30e0<\/a><\/span>u<\/i> \u03b2<\/sub> u<\/i> \u03b2<\/sup> = c<\/i> 2<\/sup><\/span>\u3092\u6301\u3064 4 \u901f\u306f\u3001\u6b21\u306e\u30bf\u30a4\u30d7\u306e\u91cf\u3067\u3059\u3002

$$ {u_\\beta \\dot u^\\beta} $$<\/div>\u306f\u30bc\u30ed\u3067\u3059\u3002\u305d\u308c\u3067\u5f7c\u306f\u6765\u307e\u3059<\/p>
$$ {\\dot \\rho + \\left(P + \\rho\\right) D_\\alpha u^\\alpha = 0} $$<\/div> \u3002<\/dd><\/dl>

\u901a\u5e38\u03b8<\/span>\u3067\u8868\u3055\u308c\u308b\u9805D<\/i> \u03b1<\/sub> u<\/i> \u03b1<\/sup><\/span>\u306f\u3001\u6d41\u4f53\u8981\u7d20\u306e\u81a8\u5f35\u3068\u547c\u3070\u308c\u307e\u3059\u3002\u975e\u76f8\u5bfe\u8ad6\u7684\u6975\u9650\u3067\u306f\u3001\u901f\u5ea6\u30d9\u30af\u30c8\u30eb<\/a><\/span>\u306e\u767a\u6563\u306b\u5bfe\u5fdc\u3057\u3001\u305d\u306e\u4f53\u7a4d\u306e\u5909\u5316\u7387\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u79c1\u305f\u3061\u306f\u3001 <\/p>

$$ {\\theta = \\frac{{\\mathrm{d}} V}{V {\\mathrm{d}} t}} $$<\/div> \u3001<\/dd><\/dl>

\u3053\u308c\u306b\u3088\u308a\u3001\u65b9\u7a0b\u5f0f\u3092\u66f8\u304d\u76f4\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059<\/p>

$$ {\\frac{\\partial}{\\partial t} \\rho + \\left(P + \\rho\\right) \\frac{{\\mathrm{d}} V}{V {\\mathrm{d}} t} = 0} $$<\/div> \u3002<\/dd><\/dl>

\u6700\u5f8c\u306b\u3001\u7c92\u5b50\u306e\u6570<\/a><\/span>\u304c\u4fdd\u5b58\u3055\u308c\u308b\u3068\u3044\u3046\u4eee\u8aac\u3092\u66f8\u304d\u307e\u3059\u3002 <\/p>

$$ {\\frac{\\partial}{\\partial t} n + n \\frac{{\\mathrm{d}} V}{V {\\mathrm{d}} t} = 0} $$<\/div> \u3001<\/dd><\/dl>

\u3053\u3053\u3067\u3001 n \u306f<\/i>\u7c92\u5b50\u5bc6\u5ea6\u3092\u8868\u3057\u307e\u3059\u3002\u305d\u308c\u306f\u6b21\u306e\u5f0f\u306b\u3088\u3063\u3066\u8cea\u91cf\u30a8\u30cd\u30eb\u30ae\u30fc\u5bc6\u5ea6\u306b\u95a2\u4fc2\u3057\u307e\u3059\u3002 <\/p>

$$ {n = \\frac{\\mu c^2}{m c^2}} $$<\/div> \u3001<\/dd><\/dl>

m\u306f<\/i>\u7c92\u5b50\u306e\u8cea\u91cf\u3067\u3059\u3002\u3053\u306e\u65b9\u7a0b\u5f0f\u306f\u3001\u6d41\u4f53\u8981\u7d20\u306e\u7c92\u5b50\u306e\u6570\u306f\u4e00\u5b9a\u3067\u3042\u308a\u3001\u6d41\u308c\u306b\u6cbf\u3063\u305f\u7c92\u5b50\u306e\u5bc6\u5ea6\u306e\u5909\u5316\u306f\u3001\u5b9f\u969b\u306b\u306f\u8981\u7d20\u306e\u4f53\u7a4d\u306e\u5909\u5316\u306e\u307f\u306b\u3088\u308b\u3082\u306e\u3067\u3042\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u306b\u3088\u3063\u3066\u89e3\u91c8\u3055\u308c\u307e\u3059\u3002\u5ea7\u6a19\u306e\u89b3\u70b9\u306b\u623b\u308b\u3068\u3001\u7c92\u5b50\u5bc6\u5ea6\u306f\u7a7a\u9593\u3068\u6642\u9593\u306e<\/a><\/span>\u5ea7\u6a19\u306e\u95a2\u6570\u3067\u3059\u3002

$$ {n({\\mathbf{x}}, t)} $$<\/div> \u3002\u6d41\u4f53\u8981\u7d20\u306b\u8ecc\u9053\u304c\u3042\u308b\u5834\u5408
$$ {{\\mathbf{x}}(t)} $$<\/div>\u306e\u5834\u5408\u3001\u8ecc\u9053\u306b\u6cbf\u3063\u305f\u305d\u306e\u5909\u5316\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002
$$ {n({\\mathbf{x}}(t), t)} $$<\/div> \u3001\u3057\u305f\u304c\u3063\u3066\u3001\u306b\u5bfe\u5fdc\u3057\u307e\u3059<\/p>
$$ {\\frac{{\\mathrm{d}} n}{{\\mathrm{d}} t} = \\frac{\\partial}{\\partial t} n + \\frac{{\\mathrm{d}}{\\mathbf{x}}}{{\\mathrm{d}} t} \\cdot \\nabla n} $$<\/div> \u3002<\/dd><\/dl>

\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 <\/p>

$$ {\\frac{\\partial}{\\partial t} n + {\\mathbf{v}} \\cdot \\nabla n + n \\nabla \\cdot {\\mathbf{v}} = 0.} $$<\/div> \u3001<\/dd><\/dl>

\u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3067\u304d\u307e\u3059<\/p>

$$ {\\frac{\\partial}{\\partial t} n + \\nabla \\cdot (n {\\mathbf{v}}) = 0} $$<\/div> \u3002<\/dd><\/dl>

\u3057\u305f\u304c\u3063\u3066\u3001\u6700\u521d\u306e\u65b9\u7a0b\u5f0f\u3067\u306f\u3001 <\/p>

$$ {\\frac{\\partial}{\\partial t} \\epsilon = – (P + \\epsilon) \\frac{1}{V}\\frac{\\partial V}{\\partial t}} $$<\/div> \u3001<\/dd><\/dl>

\u5ba3\u4f1d\u3069\u304a\u308a<\/p>

$$ {{\\mathrm{d}} \\epsilon = – (P + \\epsilon) \\frac{{\\mathrm{d}} V}{V}} $$<\/div> \u3002<\/dd><\/dl><\/div><\/div><\/div>
\n\"\u5b8c\u74a7\u306a\u6d41\u4f53\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\"<\/figure>

\u5165\u624b<\/span><\/h2>

\u9855\u5fae\u93e1\u30ec\u30d9\u30eb\u3067\u306f\u3001\u6d41\u4f53\u306e\u904b\u52d5\u91cf\u30a8\u30cd\u30eb\u30ae\u30fc \u30c6\u30f3\u30bd\u30eb\u306f\u3001\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u3068<\/a><\/span>\u547c\u3070\u308c\u308b\u91cf\u304b\u3089\u59cb\u307e\u308b\u53b3\u5bc6\u306a\u30d7\u30ed\u30bb\u30b9\u306b\u3088\u3063\u3066\u5e38\u306b\u6c7a\u5b9a\u3067\u304d\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u70b9\u7c92\u5b50\u306e\u904b\u52d5\u91cf\u30a8\u30cd\u30eb\u30ae\u30fc \u30c6\u30f3\u30bd\u30eb\u306f\u3001\u305d\u308c\u3092\u8a18\u8ff0\u3059\u308b\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u95a2\u6570\u304b\u3089\u76f4\u3061\u306b\u63a8\u5b9a\u3055\u308c\u307e\u3059\u3002\u6d41\u4f53\u529b\u5b66<\/a><\/span>\u3067\u306f\u3001\u6d41\u4f53\u3092\u69cb\u6210\u3059\u308b\u7c92\u5b50\u306e\u5206\u5e03\u306f\u3001\u3042\u308b\u30b9\u30b1\u30fc\u30eb\u3092\u8d85\u3048\u308b\u3068\u9023\u7d9a\u5a92\u4f53\u3068\u307f\u306a\u305b\u308b\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>

\u4e00\u65b9\u3001\u5de8\u8996\u7684\u306a\u30ec\u30d9\u30eb\u3067\u306f\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u904b\u52d5\u91cf\u30c6\u30f3\u30bd\u30eb\u304c\u5de8\u8996\u7684\u306a\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u95a2\u6570\u304b\u3089\u5c0e\u51fa\u3067\u304d\u308b\u3068\u78ba\u4fe1\u3092\u6301\u3063\u3066\u8a00\u3048\u308b\u3082\u306e\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u901a\u5e38\u3001\u6d41\u4f53\u306e\u30a8\u30cd\u30eb\u30ae\u30fc \u904b\u52d5\u91cf\u30c6\u30f3\u30bd\u30eb\u306f\u3001\u6700\u521d\u306b\u7c92\u5b50\u306e\u30a8\u30cd\u30eb\u30ae\u30fc \u904b\u52d5\u91cf\u30c6\u30f3\u30bd\u30eb\u3092\u8a18\u8ff0\u3057\u3001\u6b21\u306b\u7a7a\u9593\u9818\u57df\u5185\u306e\u7c92\u5b50\u306e\u7279\u5b9a\u306e\u5206\u5e03 (\u5206\u5e03\u306e\u95a2\u6570) \u3092\u4eee\u5b9a\u3057\u3001\u6b21\u306b\u500b\u3005\u306e\u30a8\u30cd\u30eb\u30ae\u30fc \u904b\u52d5\u91cf\u3092\u5e73\u5747\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3055\u308c\u307e\u3059<\/a><\/span>\u3002\u30dc\u30ea\u30e5\u30fc\u30e0\u4e0a\u306e\u30c6\u30f3\u30bd\u30eb\u306f\u3001\u554f\u984c\u306e\u6b21\u5143<\/a><\/span>\u3068\u6bd4\u8f03\u3059\u308b\u3068\u5c0f\u3055\u3044\u3067\u3059\u304c\u3001\u7c92\u5b50\u9593\u306e\u5206\u96e2<\/a><\/span>\u3068\u6bd4\u8f03\u3059\u308b\u3068\u5927\u304d\u3044\u3067\u3059\u3002\u4e00\u9023\u306e\u7c92\u5b50\u306b\u308f\u305f\u3063\u3066\u3059\u3067\u306b\u300c\u5e73\u5747\u5316\u300d\u3055\u308c\u3066\u3044\u308b\u30e9\u30b0\u30e9\u30f3\u30b8\u30a2\u30f3\u304b\u3089\u30a8\u30cd\u30eb\u30ae\u30fc\u904b\u52d5\u91cf\u30c6\u30f3\u30bd\u30eb\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3042\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3059\u308b\u3082\u306e\u306f\u4f55\u3082\u3042\u308a\u307e\u305b\u3093\u3002\u5b8c\u5168\u306a\u6d41\u4f53\u306f\u3053\u306e\u70b9\u3067\u7279\u5225\u306a\u5834\u5408\u3067\u3059\u3002\u5b9f\u8a3c\u306f\u81ea\u660e\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u3053\u306e\u65b9\u6cd5\u3067\u6c7a\u5b9a\u3067\u304d\u308b\u304b\u3089\u3067\u3059[<\/span> 2 ]<\/span><\/sup> \u3002<\/p>

\u4e00\u822c\u5316<\/a><\/span><\/span><\/h2>

\u5b8c\u5168\u306a\u6d41\u4f53\u306e\u8fd1\u4f3c\u3092\u8d85\u3048\u3066\u3001\u4e0d\u5b8c\u5168\u306a\u6d41\u4f53\u306b\u3064\u3044\u3066\u8a71\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u4e00\u5b9a\u306e\u7c98\u5ea6\u3092\u6301\u3063\u3066\u3044\u308b\u306e\u304c\u7279\u5fb4\u3067\u3001\u52d5<\/a><\/span>\u7c98\u5ea6\u3068\u52d5<\/a><\/span>\u7c98\u5ea6\u306b\u5206\u3051\u3089\u308c\u307e\u3059\u3002\u3053\u306e\u7c98\u5ea6\u306f\u3001\u6d41\u4f53\u306e\u7570\u306a\u308b\u90e8\u5206\u9593\u306e\u71b1\u4ea4\u63db\u306e\u539f\u56e0\u3068\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u3055\u307e\u3056\u307e\u306a\u52b9\u679c\u3092\u8003\u616e\u3059\u308b\u3053\u3068\u306f\u3001\u4e0d\u5b8c\u5168\u306a\u6d41\u4f53\u306e\u5b9a\u7fa9\u306b\u76f8\u5f53\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u306f\u3001\u7c98\u5ea6\u306b\u6bd4\u4f8b\u3059\u308b 2 \u3064\u306e\u9805\u304c\u8ffd\u52a0\u3055\u308c\u308b\u30aa\u30a4\u30e9\u30fc\u65b9\u7a0b\u5f0f\u306e\u4fee\u6b63\u3068\u3001\u6d41\u4f53\u8981\u7d20\u306e\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u304c\u6b21\u306e\u6761\u4ef6\u306b\u3088\u3063\u3066\u5909\u5316\u3059\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u306b\u3088\u308b\u3001\u6d41\u4f53\u306b\u95a2\u9023\u3059\u308b\u71b1\u529b\u5b66\u3092\u8003\u616e\u3057\u305f\u660e\u793a\u7684\u306a\u5909\u66f4\u304c\u4f34\u3044\u307e\u3059\u3002\u6642\u9593\u3002<\/p><\/div>

\n\"\u5b8c\u74a7\u306a\u6d41\u4f53\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\"<\/figure>

\u53c2\u8003\u8cc7\u6599<\/h2>
  1. \u0406\u0434\u044d\u0430\u043b\u044c\u043d\u0430\u044f \u0432\u0430\u0434\u043a\u0430\u0441\u0446\u044c \u2013 bi\u00e9lorusse<\/a><\/li>
  2. Ideale Fl\u00fcssigkeit \u2013 allemand<\/a><\/li>
  3. Perfect fluid \u2013 anglais<\/a><\/li>
  4. Ideaalne vedelik \u2013 estonien<\/a><\/li>
  5. \u05d6\u05d5\u05e8\u05dd \u05de\u05d5\u05e9\u05dc\u05dd \u2013 h\u00e9breu<\/a><\/li>
  6. \u0906\u0926\u0930\u094d\u0936 \u0924\u0930\u0932 \u2013 hindi<\/a><\/li><\/ol><\/div>\n
    \n

    \n \u5b8c\u74a7\u306a\u6d41\u4f53\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u89e3\u8aac\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n
    \n \n
    \n
    \n