Title

Generalized Exact-Solutions For Steady 2-Dimensional Flows With Density Stratification In The Presence Of Gravity

Title - Alternative

Phys. Lett. A

Keywords

UPSTREAM INFLUENCE; Physics, Multidisciplinary

Abstract

Nonlinear analysis of two-dimensional steady flows with density stratification in the presence of gravity (and the analogous rotating flows) is simplified under the condition that the dynamic pressure (which is the product of the density of the fluid and the square of the velocity of the fluid) has the same value for all streamlines far upstream where they are assumed to be straight and parallel (Long's model). In this paper, we will relax this condition in a specified manner and construct a more general class of exact analytic solutions which describe a wide variety of upstream effects like columnar disturbances. For a range of Froude numbers, the streamlines associated with these solutions are numerically computed and sketched for flows through channels which show spatially periodic regions of recirculation and may be interpreted as flows over a periodic array of obstacles.

Publication Title

Physics Letters A

Volume

152

Issue/Number

1-2

Publication Date

1-1-1991

Document Type

Article

Language

English

First Page

70

Last Page

78

WOS Identifier

WOS:A1991EW21100015

ISSN

0375-9601

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