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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Incompressible Perfect Fluid

Pp. 123-134 (12)

M. Belevich

Abstract

A model of the perfect fluid with an additional assumption of incompressibility of the medium is considered. We derive the Helmholtz equation and formulate the Lagrange and Helmholtz theorems which follow from this equation. We also discuss two-dimensional flows and introduce a new concept of stream function. Next we consider potential flows and study the relationship between the velocity potential and the stream function for a stationary two-dimensional flow.

Keywords:

Barotropic model, Helmholtz equation, Helmholtz theorem, Incompressible perfect fluid, Lagrange theorem, Potential flow, Rotational flow, Stream function, Velocity potential, Vortex line.

Affiliation:

St.Petersburg Russia