Unsteady flows in a semiinfinite expanding pipe with injection through wall
Abstract
A theoretical analysis of the unsteady incompressible laminar flow in a semiinfinite porous circular pipe with injection or suction through the pipe wall whose radius varies with time is presented. The analysis simulates the flow field by the burning of inner surface of cylindrical grain in a solid rocket motor, in which the burning surface regresses with time. An exact similar solution of fully nonlinear form of the NavierStokes equations is calculated numerically. The properties of flow are represented as functions of the expansion ratio and the injection parameter. The effect of burning surface regression on the flow field in combustion chamber of a solid rocket motor is so little that it may be negligible.
 Publication:

Japan Society of Aeronautical Space Sciences Transactions
 Pub Date:
 May 1990
 Bibcode:
 1990TJSAS..33...14G
 Keywords:

 Circular Tubes;
 Computational Fluid Dynamics;
 Flow Equations;
 Fluid Injection;
 Unsteady Flow;
 Combustion Chambers;
 Incompressible Flow;
 Laminar Flow;
 NavierStokes Equation;
 Solid Propellant Rocket Engines;
 Fluid Mechanics and Heat Transfer