Classical Fluid Mechanics

Rates of Change of Characteristics of Continuum

Author(s): M. Belevich

Pp: 38-52 (15)

DOI: 10.2174/9781681084091117010005

* (Excluding Mailing and Handling)

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.

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