Compressibility effects in thin channels with injection
Abstract
A theoretical analysis of the inviscid flow between a porous plate and a parallel impermeable plate is performed for small values of the ratio of the plate separation distance to the lateral extent of the plates, for both planar and axisymmetric geometries. The problem of computing the flowfield is reduced to the solution of a single integral equation, which is accomplished numerically. The ratio of specific heats gamma is a parameter of the solution, and parametric results are presented from gamma = 1.0 to 1.67. The flow exhibits choking at a critical value of the lateral extent of the plate, in the vicinity of which the Mach number approaches unity. The results are needed in providing external boundarylayer conditions for studying the flame structure in the viscous region between two counterflowing streams when compressibility is important.
 Publication:

AIAA Journal
 Pub Date:
 December 1991
 DOI:
 10.2514/3.10852
 Bibcode:
 1991AIAAJ..29.2149L
 Keywords:

 Channel Flow;
 Compressibility Effects;
 Flow Geometry;
 Parallel Plates;
 Supersonic Combustion;
 Turbulent Mixing;
 Counterflow;
 Diffusion Flames;
 Fuel Injection;
 Integral Equations;
 Stream Functions (Fluids);
 Fluid Mechanics and Heat Transfer