We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Mixed Convection Boundary-Layer Flow Over A Vertical Flat Surface Driven By A Constant Shear.
- Authors
Merkin, J. H.; Pop, I.
- Abstract
The mixed convection boundary-layer flow on a vertical surface driven by a constant external shear is discussed. Two cases are considered, namely, the power-law surface temperature variation that allows for a similarity solution and a constant surface temperature. In the former case, the solution depends on a mixed convection parameter λ as well as the Prandtl number σ. Asymptotic solutions are obtained for large λ (free convection limit). For λ < 0, there is a critical value λc of λ (dependent on σ) with a saddle-node bifurcation at λc and solutions possible only for λc ≤ λ. Numerical solutions of the full boundary-layer problem are obtained for the constant surface temperature case which show, in the aiding case, that the solution advances from the behaviour near the leading edge dominated by the external shear to the free convection limit far downstream. In the opposing case, the boundary-layer flow terminates at a finite distance along the surface with a singularity developing in the solution.
- Subjects
BOUNDARY layer (Aerodynamics); SHEAR (Mechanics); SURFACES (Technology); TEMPERATURE; NATURAL heat convection
- Publication
Quarterly Journal of Mechanics & Applied Mathematics, 2011, Vol 64, Issue 4, p481
- ISSN
0033-5614
- Publication type
Article
- DOI
10.1093/qjmam/hbr015