Donovan Numerical solution of the unsteady navier-stokes equations and application to flow in a rectangular cavity with a moving wall

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Cleveland: NASA, 1971. — 60 p.
Report No.: NASA TN D-6312
Abstract:
A computer program to solve the two-dimensional, incompressible Navier-Stokes equations was written in FORTRAN IV. The program was used to investigate the startup of flow inside a cavity with the upper wall moving at constant velocity. Results are given for rectangular cavities with aspect ratios of 1/2 and 2 at a Reynolds number of 100 and for square cavities at Reynolds umbers between 100 and 500.
The unsteady results at large times are compared where possible to velocities calculated from the steady Navier-Stokes equations and to the results of steady experiments; good agreement is shown. In addition, a numerical flow visualization technique is described and used to make a motion picture showing the results of the calculations.

Author(s): Leo F.

Language: English
Commentary: 1155959
Tags: Механика;Механика жидкостей и газов