Steady Viscous Flow in a Trapezoidal Cavity

McQuain, William D. and Ribbens, Calvin J. and Wang, C. Y. and Watson, Layne T. (1992) Steady Viscous Flow in a Trapezoidal Cavity. Technical Report TR-92-58, Computer Science, Virginia Polytechnic Institute and State University.

Abstract

The flow in a trapezoidal cavity (including the rectangular and triangular cavities) with one moving wall is studied numerically by finite differences with special treatment in the corners. It is found that streamlines and vorticity distributions are sensitive to geometric changes. The mean square law for core vorticity is valid for the rectangle but ceases to be valid for the triangular cavity.