Computation of the maximum flow rate of a perfect gas through a slit in a plane wall
Abstract
The steady flow of a perfect gas through a slit in a plane wall is studied. The pressure conditions are such that the flow is near its maximum rate, and the flow is transonic. The flow is assumed to have no shocks near the wall, and the equations are formulated in a potentialstream functioncoordinate system. The coordinate system is then transformed, and the equations are solved with a finitedifference method using second order accurate, central differences all over the domain. The resulting nonlinear system is solved using Newton's method. By computing a certain characteristic it is determined when changes in the pressure no longer influence the inflow side. This is used to estimate the maximum flow rate. The numerical computations were performed on the vector computers CYBER 203 and CYBER 205.
 Publication:

Computers and Fluids
 Pub Date:
 1986
 Bibcode:
 1986CF.....14..253W
 Keywords:

 Computational Fluid Dynamics;
 Finite Difference Theory;
 Flow Velocity;
 Ideal Gas;
 Transonic Flow;
 Two Dimensional Flow;
 Coordinate Transformations;
 Inviscid Flow;
 Newton Methods;
 Slits;
 Wall Flow;
 Fluid Mechanics and Heat Transfer