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Computational Fluid Dynamics by Chaoqun Liu, Guan Heng Yeoh, Jiyuan Tu

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Chapter 3 Governing Equations for CFD—Fundamentals

3.1 INTRODUCTION

CFD is fundamentally based on the governing equations of fluid dynamics. They represent mathematical statements of the conservation laws of physics. The purpose of this chapter is to introduce the derivation and discussion of these equations, where the following physical laws are adopted:

  • Mass is conserved for the fluid.
  • Newton’s second law, the rate of change of momentum equals the sum of forces acting on the fluid.
  • First law of thermodynamics, the rate of change of energy equals the sum of rate of heat addition to and the rate of work done on the fluid.

It is important that anyone concerned with CFD possesses some understanding of the physical phenomena of fluid motion, ...

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