Solution of Boundary Layer and Thermal Boundary Layer Equation
Farhana Mamtaz
Department of Mathematics, California State University, Northridge, USA.
Ahammad Hossain *
Department of Mathematics, Sonargaon University, Bangladesh.
Nusrat Sharmin
Department of Mechanical Engineering, Sonargaon University, Bangladesh.
*Author to whom correspondence should be addressed.
Abstract
We studied equation of continuity and boundary layer thickness. The Blasius and Falkner equations are studied in order to investigate the guess values in various boundary layer thicknesses, and Falknar-skan equations shows when velocity profile has a point of inflection in case of accelerated and decelerated. The solutions of the above mentioned equations are shown graphically. Finally, the thermal boundary layer equation has been derived from Navier-Stoke equation by boundary layer technique. Boundary Layer equation has been non-dimensionalised by using non-dimensional variable. The non-dimensional boundary layer equations are non-linear partial differential equations. These equations are solved by finite difference method. The effect on the velocity and temperature for the various parameters entering into the problems are separately discussed and shown graphically. We use Fortran Program for taking Data and for graphical representation we use TecPlot.
Keywords: Falknar-skan, navier-Stoke, blasius equation, boundary layer, thermal boundary