Mixed Convection Boundary-Layer Flow Near the Stagnation Point on a Vertical Surface in a Porous Medium: Brinkman Model with Slip |
| |
Authors: | S D Harris D B Ingham I Pop |
| |
Institution: | (1) Rock Deformation Research, School of Earth Sciences, University of Leeds, Leeds, LS2 9JT, UK;(2) Centre for Computational Fluid Dynamics, University of Leeds, Leeds, LS2 9JT, UK;(3) Faculty of Mathematics, University of Cluj, CP 253, Cluj, 3400, Romania |
| |
Abstract: | The steady boundary-layer flow near the stagnation point on an impermeable vertical surface with slip that is embedded in
a fluid-saturated porous medium is investigated. Using appropriate similarity variables, the governing system of partial differential
equations is transformed into a system of ordinary differential equations. This system is then solved numerically. The features
of the flow and the heat transfer characteristics for different values of the governing parameters, namely, the Darcy–Brinkman,
Γ, mixed convection, λ, and slip, γ, parameters, are analysed and discussed in detail for the cases of assisting and opposing
flows. It is found that dual solutions exist for assisting flows, as well as those usually reported in the literature for
opposing flows. A stability analysis of the steady flow solutions encountered for different values of the mixed convection
parameter λ is performed using a linear temporal stability analysis. This analysis reveals that for γ = 0 (slip absent)
and Γ = 1 the lower solution branch is unstable while the upper solution branch is stable. |
| |
Keywords: | Mixed convection flow Porous medium Stagnation point flow Dual solutions Stability |
本文献已被 SpringerLink 等数据库收录! |
|