Calculation of unsteady two-dimensional laminar and turbulent boundary layers with fluctuations in external velocity
Abstract
A numerical method is proposed for calculating unsteady two-dimensional laminar and turbulent boundary layers with allowance for fluctuations in external flow velocity. An eddy-viscosity formulation is used to model the Reynolds shear stress term appropriate to turbulent flow, and the governing boundary layer equations are solved by a two-point finite-difference scheme. For illustration, the method is applied to the calculation of the phase angles between the shear stress at the wall and an oscillating external laminar boundary layer on a flat plate. The effectiveness of the method (for engineering purposes) is demonstrated by comparing calculations for turbulent flows with experimental data.
- Publication:
-
Proceedings of the Royal Society of London Series A
- Pub Date:
- June 1977
- DOI:
- 10.1098/rspa.1977.0096
- Bibcode:
- 1977RSPSA.355..225C
- Keywords:
-
- Finite Difference Theory;
- Flat Plates;
- Laminar Boundary Layer;
- Turbulent Boundary Layer;
- Two Dimensional Boundary Layer;
- Unsteady Flow;
- Eddy Viscosity;
- Flow Velocity;
- Oscillating Flow;
- Reynolds Stress;
- Shear Stress;
- Wall Flow;
- Fluid Mechanics and Heat Transfer