Classical Fluid Mechanics

Classical Fluid Mechanics

This textbook primarily explains the construction of classical fluid model to readers in a holistic manner and the way it is constructed. Secondly, the book also demonstrates some possible ...
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The Continuity Equation

Pp. 74-81 (8)

M. Belevich

Abstract

Starting from this chapter and to the end of the first part we are building a closed system of equations of a fluid model. Firstly, we discuss differential conservation laws, and related balance equations. All previously obtained expressions are applied then to the mass of a body, and this gives the first equation of the fluid model, the continuity equation.

Keywords:

Balance equation, Compressibility, Continuity equation, Differential conservation law, Flow through a surface, Flux, Levi-Civita symbol, Mass flux density, Rate of volume expansion.

Affiliation:

St.Petersburg Russia