...where ρ is the density of the fluid and g is the acceleration of gravity. It is theoretically derived from the Navier-Stokes equations assuming that the flow is parallel to the pipe axis, satisfies the adhesion condition at the wall, and follows Newton's law of viscosity, but it was first experimentally discovered independently by Gotthilf Hagen (1793-1884) of Germany in 1839 and Jean Léonhard Poiseuille (1797 or 1799-1869) of France in 1840. The flow in this case is an orderly flow (laminar flow) with a parabolic velocity distribution given by u = δ p ( a 2 - r 2 )/4μ l , where r is the radial distance from the pipe axis, and is called Poiseuille flow. ... *Some of the terminology explanations that mention "Poiseuille, JL" are listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…ただしρは流体の密度,gは重力の加速度。流れが管軸に平行で壁での粘着条件を満足し,ニュートンの粘性法則に従うものとしてナビエ=ストークスの方程式から理論的に導かれるが,最初は1839年にドイツのハーゲンGotthilf Hagen(1793‐1884),40年にフランスのポアズイユJean Léonhard Poiseuille(1797または99‐1869)によってそれぞれ独立に実験的に見いだされた。このときの流れは,管軸からの半径方向の距離をrとすると,u=δp(a2-r2)/4μlで与えられる放物形の速度分布をもつ整然とした流れ(層流)で,ポアズイユの流れPoiseuille flowと呼ばれる。… ※「Poiseuille,J.L.」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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