A simplified model for the viscous crossflow in a slotted test section
Abstract
A simplified physical model is constructed which simulates the viscous crossflow in a fluid layer near the slots at a fixed streamwise location in a slotted wind tunnel. For low to moderate Reynolds numbers, numerical solutions of the two-dimensional, incompressible Navier-Stokes equations in stream function and vorticity, which govern the model flow, are obtained. Fairly general slot geometry is incorporated by means of the Thompson-Thames-Mastin transformation. An approximate factorization scheme with cyclic acceleration parameters is employed to solve a finite difference analog of the stream function equation. The vorticity equation is numerically solved with a modified version of the classical alternating direction implicit (ADI) scheme. Although no quantitative assessment of solution accuracy can be made, numerical results for variations in incremental wall pressure around the slot are at least qualitatively similar to some experimental results of Berndt and Sorenson.
- Publication:
-
Computers and Fluids
- Pub Date:
- March 1981
- Bibcode:
- 1981CF......9...63C
- Keywords:
-
- Computational Fluid Dynamics;
- Cross Flow;
- Finite Difference Theory;
- Navier-Stokes Equation;
- Slotted Wind Tunnels;
- Viscous Flow;
- Boundary Layer Flow;
- Computerized Simulation;
- Pressure Distribution;
- Reynolds Number;
- Stream Functions (Fluids);
- Two Dimensional Flow;
- Vorticity Equations;
- Wall Pressure;
- Fluid Mechanics and Heat Transfer