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4 - Basic Equations of Fluid Dynamics

Published online by Cambridge University Press:  16 March 2023

Hongwei Wang
Hongwei Wang
Affiliation:
Beihang University, Beijing
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Summary

In this chapter, the basic equations of fluid dynamics are derived and their physical significances are discussed in depth and in examples. Both integral and differential forms of the continuity equation, momentum equation, and energy equation are derived. In addition, Bernoulli’s equation, angular momentum equation, enthalpy equation and entropy equation are also introduced. Finally, several analytical solutions of these governing equations are shown, and the mathematical properties of the equations are discussed. Besides the fundamental equations, some important concepts are explained in this chapter, such as the shaft work in integral energy equation and its origin in differential equations, the viscous dissipation term in the differential energy equation and its relation with stress and deformation, and the method to increase total enthalpy of a fluid isentropically.

Keywords

Mass flow rateContinuity equationMomentum equationEnergy equationBernoulli’s equationNavier-Stokes EquationsEnthalpyShaft workviscous dissipation
Type
Chapter
Information
A Guide to Fluid Mechanics , pp. 57 - 107
Publisher: Cambridge University Press
Print publication year: 2023

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