Boundary Layer Flow and Heat Transfer Adjacent to a Stretching Vertical Sheet with Prescribed Surface Heat Flux

Abstract

The steady two-dimensional flow adjacent to a vertical, continuously stretching sheet in a viscous and incompressible fluid is studied. It is assumed that the sheet is stretched with a power-law velocity and is subjected to a variable surface heat flux. The governing partial differential equations are reduced to nonlinear ordinary differential equations by a similarity transformation, before being solved numerically by the Keller-box method. Results showed that the heat transfer rate at the surface increases as the velocity exponent parameter, mixed convection parameter and the Prandtl number are increased. Keywords: Similarity solution; heat transfer; numerical solution; stretching sheet.