A direct method for calculating laminar duct flow with injection or suction
Abstract
The laminar flow in straight, two-dimensional and axisymmetric ducts is calculated from the entrance region to the fully developed flow. The numerical method applied is based on the boundary-layer equations in both physical and transformed coordinates. At the boundary-layer edge the velocity which is related to the pressure gradient has to be chosen such that the overall mass balance is satisfied. In this way the unknown pressure gradient is directly incorporated in the calculation procedure. The stream function equation is solved numerically by using the finite-difference method of Hermitian type. The numerical results obtained demonstrate that the calculation procedure combines accuracy with efficiency and is capable of predicting duct flows with injection or suction.
- Publication:
-
Numerical Methods in Laminar and Turbulent Flow
- Pub Date:
- 1983
- Bibcode:
- 1983nmlt.proc...37B
- Keywords:
-
- Axisymmetric Flow;
- Ducted Flow;
- Fluid Injection;
- Laminar Flow;
- Suction;
- Two Dimensional Flow;
- Boundary Value Problems;
- Computational Fluid Dynamics;
- Finite Difference Theory;
- Hermitian Polynomial;
- Porous Walls;
- Pressure Gradients;
- Stream Functions (Fluids);
- Fluid Mechanics and Heat Transfer