This article considers two situations involving unsteady laminar boundary layer flow due to a stretching surface in a quiescent viscous incompressible fluid. In one configuration, the surface is impermeable with prescribed heat flux, in the other, the surface is permeable with prescribed temperature. The boundary value problems governing a similarity reduction for each of these situations are investigated and the existence of a solution is proved for all relevant values of physical parameters. The uniqueness of the solution is also proved for some (but not all) values of the parameters. Finally, a priori bounds are obtained for the skin friction coefficient and local Nusselt number.
|Original language||English (US)|
|Number of pages||11|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|State||Published - Jun 1 2012|
All Science Journal Classification (ASJC) codes
- Applied Mathematics