Mixed convection boundary layer flow near. stagnation-point on vertical surface with slip

• Published in: Applied mathematics and mechanics Vol. 32; no. 12; pp. 1599 - 1606
• Main Authors: Aman, F., Ishak, A., Pop, I.
• Format: Journal Article
• Language: English
• Published: Heidelberg Shanghai University Press 01.12.2011; Faculty of Science, Arts and Heritage, Universiti Tun Hussein Onn Malaysia,86400 Parit Raja, Batu Pahat, Johor, Malaysia%School of Mathematical Sciences, Faculty of Science and Technology, UniversitiKebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia%Faculty of Mathematics, University of Cluj, R-3400 Cluj, CP 253, Romania
• Subjects: Applications of Mathematics; Classical Mechanics; Fluid- and Aerodynamics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; dual solution; stagnation-point; 1; 34B15; 76D10; slip; mixed convection; O357.4; heat transfer; O357.1
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-011-1526-x

This paper considers the steady mixed convection boundary layer flow of a viscous and incompressible fluid near the stagnation-point on a vertical surface with the slip effect at the boundary. The temperature of the sheet and the velocity of the external flow are assumed to vary linearly with the distance from the stagnation-point. The governing partial differential equations are first transformed into a system of ordinary differential equations, which are then solved numerically by a shooting method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. Both assisting and opposing flows are considered. The results indicate that for the opposing flow, the dual solutions exist in a certain range of the buoyancy parameter, while for the assisting flow, the solution is unique. In general, the velocity slip increases the heat transfer rate at the surface, while the thermal slip decreases it.