Generalized Exact-Solutions For Steady 2-Dimensional Flows With Density Stratification In The Presence Of Gravity
Abbreviated Journal Title
Phys. Lett. A
UPSTREAM INFLUENCE; Physics, Multidisciplinary
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.
Physics Letters A
"Generalized Exact-Solutions For Steady 2-Dimensional Flows With Density Stratification In The Presence Of Gravity" (1991). Faculty Bibliography 1990s. 341.