[工學(xué)]流體力學(xué)英文課件chap-在線瀏覽
2025-03-08 11:29本頁(yè)面
【正文】 即流體處于平衡狀態(tài)，則變成歐拉平衡微分方程： 01 ???? xpX ?01 ???? ypY ?01 ???? zpZ ?01 ??? pf ??或 If the acceleration is zero: ?4 1 理 想 流 體 的 運(yùn) 動(dòng) 方 程 Fluid Mechanics 2022 CN Chapter 4 14 The NavierStokes Equations Fluid Mechanics 2022 CN Chapter 4 15 Surface forces acting on a fluid element are pressure p and shear stress τ. Because τ is acting tangential to a 2dimensional plane it has two ponents. 3 quantities per 3 faces (joined at point A) results in a scheme of 9 quantities, the stress tensor. 2. The NavierStokes Equations (1) 4. Inpressible Ideal Fluid Flow 圖3 2 1 流體微團(tuán)上的應(yīng)力xzyOAEHDCGFBxxpzzpyypxz?zx?yz?zy?yx?xy??????????????????zzzyzxyzyyyxxzxyxxppp???????1. index: normal vector on face 2. index: direction of force Fluid Mechanics 2022 CN Chapter 4 16 amF i ?? ???Newton’s second law: The sum of all forces on m is equal to the acceleration a of the mass m. Apply Newton’s second law to a differential fluid particle in the xdirection of a Cartesian coordinate system: volume force + pressure force + shear stress = mass ? acceleration 2. The NavierStokes Equations (2) 4. Inpressible Ideal Fluid Flow 圖3 2 1 流體微團(tuán)上的應(yīng)力xzyOAEHDCGFBxxpzzpyypxz?zx?yz?zy?yx?xy?dtdud x d y d zd x d zdyyd x d zd x d ydzzd x d yd y d zdxxppd y d zpd x d y d zxyxyxyxzxzxzxxxxxxx????????????????????????????)()()(X = mass ? acceleration volume force + pressure force + shear stress dy τyx +τyx(y+Δy) Fluid Mechanics 2022 CN Chapter 4 17 dtdud x d y d zd x d zdyyd x d zd x d ydzzd x d yd y d zdxxppd y d zpd x d y d zxyxyxyxzxzxzxxxxxxx????????????????????????????)()()(Xdtduyxzpdtduxzypdtduzyxpzyzxzzzyxyzyyyxzxyxxx??????????????????????????????)(1)(1)(1?????????ZYX同理同理2. The NavierStokes Equations (3) 4. Inpressible Ideal Fluid Flow 圖3 2 1 流體微團(tuán)上的應(yīng)力xzyOAEHDCGFBxxpzzpyypxz?zx?yz?zy?yx?xy?summarize and divide by ρ?dx?dy?dz : Fluid Mechanics 2022 CN Chapter 4 18 yxOABCDB 39。Basics of Fluid Mechanics Chapter 4: 167。 1 to 2 Marc Henn ., Mechanical Engineer Fluid Mechanics 2022 CN Chapter 4 2 Contents Euler’s Equation NavierStokesEquation (inpressible) Fluid Mechanics 2022 CN Chapter 4 3 流體動(dòng)力學(xué)基礎(chǔ) （ 1） Fluid Mechanics 2022 CN Chapter 4 4 流體動(dòng)力學(xué)的任務(wù) 研究 流動(dòng)參數(shù)與引起流動(dòng)的力 之間的關(guān)系 （ p、 v、 a、 F、
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