…Despite these flaws, the theory of perfect fluids has attracted many mathematicians because of its beauty, and has played a key role in the development of complex function theory and harmonic function (potential) theory. The vortex theory of Lagrange, H. L. von Helmholtz, Kelvin, and others has been a powerful tool in solving practical problems. It was not until the French Louis Marie Henri Navier (1785-1836) and GG Stokes that the fundamental equations of viscous fluids that follow Newton's law of viscosity were derived and the basis for elucidating experimental facts that real fluids have viscosity was established. These are the Navier-Stokes equations, and the fundamental equations of fluid mechanics for simple fluids, including Euler's equations as a special case of zero viscosity, were completed. … *Some of the terminology used in reference to "Navier, LMH" is listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…完全流体の理論はこのような欠陥があるにもかかわらず,その美しさから多くの数学者をひきつけ,複素関数論,調和関数(ポテンシャル)論の発展と表裏をなすとともに,ラグランジュ,H.L.F.vonヘルムホルツ,ケルビンらによる渦理論によって実際問題の解明に力があった。 ニュートンの粘性法則に従う粘性流体の基礎方程式が導出され,実在の流体が粘性をもつことによる実験的事実を解明する基礎がきづかれるには,フランスのナビエLouis Marie Henri Navier(1785‐1836),G.G.ストークスを待たなければならなかった。ナビエ=ストークスの方程式がこれであって,オイラーの方程式を粘性0の特別な場合として含む,単純な流体に対する流体力学の基礎方程式がここに完成した。… ※「Navier,L.M.H.」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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