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

    Authors

    B. K. Shivamoggi;M. S. Uberoi

    Comments

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    Abbreviated Journal Title

    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.

    Journal 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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