Application of Gyarmati principle to boundary layer flow
Abstract
A generalized form of Gyarmati's (1969) variational principle, which describes the evolution of linear, quasilinear, and some nonlinear irreversible processes in space and time, and is known as the governing principle of dissipative processes (GPDP), is obtained and used to treat steady boundary layer flow along a flat plate. The GPDP yields a result which is quite close to the exact one for boundary layer flow on a semiinfinite plate. The skin friction obtained with a third degree polynomial for the velocity profile differs by less than 4% from the exact result. Skin friction calculated with a sixth degree profile in universal form differs by 0.65% from the exact value.
- Publication:
-
Acta Mechanica
- Pub Date:
- 1978
- Bibcode:
- 1978AcMec..30..137S
- Keywords:
-
- Boundary Layer Flow;
- Flat Plates;
- Skin Friction;
- Two Dimensional Flow;
- Variational Principles;
- Velocity Distribution;
- Energy Dissipation;
- Incompressible Flow;
- Irreversible Processes;
- Polynomials;
- Steady Flow;
- Fluid Mechanics and Heat Transfer