Solution to quasiaxisymmetric internal compressible flows using the stream tube approach
Abstract
A computer code was written to solve for the axisymmetric viscous/inviscid internal compressible flows with variable fluid properties in variable area ducts. Only laminar subsonic or supersonic flows were considered throughout the ducts. Grid resolution was obtained by slicing and refining the flow into cores (stream tubes), which were simulated simultaneously with the numerical solution. The method of influence coefficients was used to develop the nonlinear differential equations for the Mach profile, and the two dimensionality of the pressure field was accounted for by coupling the cores through the use of curvature of the stream tubes. The coupling of the individual cores generated a tridiagonal matrix at each step and was solved for in an iterative manner by the Thomas algorithm until the core diameters had converged. Both adiabatic and diabatic flows were considered, and a quadratic fit was used for the velocity profile at each step. A fourthorder RungeKutta integration technique modified by Gill's constants, was used to solve for the flow parameters.
 Publication:

Ph.D. Thesis
 Pub Date:
 1990
 Bibcode:
 1990PhDT........19Z
 Keywords:

 Adiabatic Flow;
 Axisymmetric Flow;
 Computer Programs;
 Ducts;
 Flow Characteristics;
 Fluid Dynamics;
 Pipes (Tubes);
 Pressure Distribution;
 RungeKutta Method;
 Subsonic Flow;
 Supersonic Flow;
 Velocity Distribution;
 Algorithms;
 Coefficients;
 Cores;
 Curvature;
 Diameters;
 Heat Transfer;
 Mach Number;
 Nonlinear Equations;
 Fluid Mechanics and Heat Transfer