Journal Article

Flow of a viscous incompressible fluid of temperature dependent viscosity past a permeable wedge with uniform surface heat flux

Hafiz, M. Z., Takhar, H. S., Hossain, M. A., Munir, M. S.

2000

Overview

The effect of uniform suction on the steady two-dimensional laminar forced flow of a viscous incompressible fluid of temperature dependent viscosity past a wedge with uniform surface heat flux is considered. The governing equations for the flow are obtained by using suitable transformations and are solved by using an implicit finite difference method. Perturbation solutions are also obtained near the leading edge and in the downstream regime. The results are obtained in terms of the local skin friction coefficient and the rate of heat transfer for various values of the pertinent parameters, such as the Prandtl number, Pr, the velocity gradient parameter, m, the local suction parameter, ξ, and the viscosity variation parameter, ɛ. Perturbation solutions are compared with the finite difference solutions and are found to be in excellent agreement. The effect of ξ, m and ɛ on the dimensionless velocity profiles and viscosity distribution are also presented graphically for Pr = 0.7 and 7.0, which are the appropriate values for gases and water respectively.

• Publisher: Springer,Springer Nature B.V
• Subject: Coefficient of friction / Convection and heat transfer / Exact sciences and technology / Finite difference method / Fluid dynamics / Fluid flow / Fundamental areas of phenomenology (including applications) / Heat / Heat flux / Heat transfer / Incompressible flow / Incompressible fluids / Laminar boundary layers / Laminar flow / Laminar flows / Mathematical analysis / Parameters / Perturbation / Physics / Prandtl number / Skin friction / Suction / Temperature dependence / Turbulent flows, convection, and heat transfer / Two dimensional flow / Velocity distribution / Velocity gradient / Viscosity / Wedges