in the flow, by taking statistical and space averages of the equation of motion of both phases at each of the scales, and finally by separating the effect of the particles as 'internal' boundary conditions on the fluid from those of the 'external' boundary conditions (e.g. pipe wall). ...
The Momentum Equation refers to the conservation law that describes how the variation of momentum within a control volume is influenced by external and surface forces acting on a fluid element. AI generated definition based on: Computational Fluid Dynamics: Principles and Applications (Second Edition)...
2) balance equation of momentum 动量守恒方程 1. In this paper, the theory of thermodynamics is used to solve the macrobalance equation of momentumof fluid phase. 运用经典热力学理论, 通过求解液相宏观动量守恒方程, 推出了高温差条件下地下水的运动方程。
Because the momentum integral method is approximate, the evaluation of θ by this equation is not as exact, compared to the value of θ computed by solving the Navier–Stokes equation. Nevertheless, due to the simplicity of this momentum integral, the method is well known. 1.1 Truckenbrodt's...
The principles describingmomentumtransfer can be used in applications as diverse as analysing fluid flows to designing the space shuttle. 描述动量传递的原理,可以被广泛地应用于从分析流体流动到设计宇宙飞船的各种不同的场合。 属类:化学及生命科学-化工-化工原理与技术 ...
Chapter 10 Momentum equation 10.1 Classification of the law of momentum The law of momentum was derived in Chapter 5 by means of integration of the Cauchy equation of motion over a control volume (see Figure 5.9). The internal forces that act upon the control volume are in equilibrium with ...
The Momentum Equation for the Steady Flow of an Inviscid Incompressible FluidNewton's second law of motion: $${m{force = rate}}\\\;{m{of}}\\\;{m{change}}\\\;{m{of}}\\\;{m{momentum}}$$doi:10.1007/978-1-349-09805-7_5G. BoxerMacmillan...
Momentum equation for two- and three-dimensional flow The force in the y-direction Fig 6.2 Two dimensional flow in a streamtube Momentum equation for two- and three-dimensional flow Total force exerted on the fluid Rate of change of momentum through the control volume = ) ( ...
A pressure equation arises from the requirement that solutions of the momentum equation be mass-consistent. (*** MSc course only ***) The Navier-Stokes equation for a constant-density fluid may be written u i (u i u j ) 1 p + + 2ui = t xi x j Velocity depends on the pressure ...
Von Karman and Poulhausen derived momentum integral equation (approximation) which can be used for both laminar and turbulent flow (with and without pressure gradient) Von Karman and Polhausen devised a simplified method by satisfying only the boundary conditions of the boundary layer flow rather tha...