Computational fluid dynamics modelling of buoyancy induced viscoelastic flow in a porous medium with magnetic field effects. (English) Zbl 1031.76037
From the summary: We present a two-dimensional computational analysis of steady-state thermal boundary layer flow of a second-order non-Newtonian fluid past a horizontal wedge in Brinkman-Darcy porous medium, in the presence of a transverse magnetic field. The governing equations are transformed from Cartesian coordinates \((x,y)\) into a sixth-order system of partial differential equations in a \(\xi-n\) coordinate system. These complex equations are then reduced to a set of six first-order equations which are solved using the Keller finite difference method and a block tridiagonal iterative solver SOLV6.
MSC:
76M20 | Finite difference methods applied to problems in fluid mechanics |
76A10 | Viscoelastic fluids |
76W05 | Magnetohydrodynamics and electrohydrodynamics |
76S05 | Flows in porous media; filtration; seepage |
80A20 | Heat and mass transfer, heat flow (MSC2010) |