Injection induced flows in porous-walled ducts
Abstract
A theoretical analysis of the flow in porous-walled tubes and channels with appreciable injection through the duct wall is presented. Emphasis is placed on flows induced solely from injection by closure of a duct end. Effects of compressibility, nonideal boundary conditions and turbulent transition on flow development are considered. The analysis employs a full Reynolds stress model of turbulence, with an implicit finite-difference procedure used to solve the resulting parabolic equation system. Theoretical results together with existing experimental data indicate that the flows in porous tubes at large injection Reynolds number can undergo at least three regimes of flow development, proceeding from the closed head end. In the first regime the velocity field develops in accordance with laminar similarity theory. In the second, high levels of turbulence are developed while the mean velocity field continues to correspond with laminar theory. The third regime commences with transition of the mean axial velocity distribution, a process occurring at extremely large axial-flow Reynolds numbers.
- Publication:
-
AIAA, SAE, ASME, and ASEE, 21st Joint Propulsion Conference
- Pub Date:
- July 1985
- Bibcode:
- 1985jpmc.confS....B
- Keywords:
-
- Boundary Layer Transition;
- Computational Fluid Dynamics;
- Ducted Flow;
- Fluid Injection;
- High Reynolds Number;
- Porous Walls;
- Boundary Conditions;
- Channel Flow;
- Compressibility Effects;
- Finite Difference Theory;
- Flow Velocity;
- Reynolds Stress;
- Turbulent Flow;
- Fluid Mechanics and Heat Transfer