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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Rates of Change of Characteristics of Continuum

Pp. 38-52 (15)

M. Belevich

Abstract

Methods of description of the rates of change of characteristics of a medium are studied. The rate of change of a place of a point of a body is considered. The rates of change of characteristics specified by scalar and vector functions are also discussed. The index summation convention is introduced.

Keywords:

Christoffel symbol, Covariant derivative, Dummy index, Euler’s formula, Free index, Index summation convention, Parallel transfer, Rate of change of location, Rate of change of scalar function, Rate of change of vector function, Total derivative, Trajectory.

Affiliation:

St.Petersburg Russia.