Poiseuille-Couette Flow and Heat Transfer in an Inclined Channel for Composite Porous Medium

Abstract

Convective flow and heat transfer in an inclined channel bounded by two rigid plates is studied, where the lower plate is fixed and upper plate is moving with a constant velocity. One of the regions filled with clear viscous fluid and the other region filled with the porous matrix saturated with a viscous fluid different from the fluid in the first region are considered. The coupled nonlinear equations are mainly solved numerically using finite difference method. It is found that the presence of porous matrix in one of the region reduces the velocity and temperature. Both the velocity and temperature profiles enhance as the values of buoyancy parameter GP, height ratio h, Brinkman number Br, density ratio n and thermal expansion ratio b increase but reduce as the values of porous parameter , viscosity ratio  and thermal conductivity ratio  T increase. The Nusselt numbers at upper plate diminish as GP, h and Br increase, whereas they increase as ,  and  T increase. The lower plate Nusselt numbers are reversely affected by the relevant parameters. The effect of  and GP on shear stress profiles are drawn and discussed.

Convective fluid flow and heat transfer in a vertical rectangular duct containing a horizontal porous medium and fluid layer

“…Umavathi and co-workers (Malashetty et al, 2001(Malashetty et al, , 2004(Malashetty et al, , 2005Umavathi et al, 2004Umavathi et al, , 2005Umavathi et al, , 2008Umavathi et al, , 2010Umavathi et al, , 2012Umavathi et al, , 2014 conducted extensive investigations into the dynamics of immiscible flow in conduits considering steady, unsteady, Newtonian and non-Newtonian fluids scenarios. Prasad (1990) presented a succinct review of composite porous layer fluid dynamics.…”

Formation of convective roll patterns over a longitudinal throughflow in an active inhomogeneous porous medium with weak clogging

“…Подобные два вида конвекции наблюдались также при течении трёхкомпонентной смеси в двухслойной пористой среде [18] и однокомпонентной жидкости в среде с тремя пористыми подслоями [19]. Можно привести также ряд работ по анализу возникновения тепловой конвекции на фоне продольного [20,21] и поперечного [22,23] вынужденных течений в слоях, которые заполнены пористой матрицей частично. В данной работе рассматривается двухслойная пористая система, через которую прокачивается бинарная жидкость вдоль границы раздела горизонтальных подслоёв.…”

Oscillatory Flow in a Porous Channel with Porous Medium and Small Suction

“…These include cooling of nuclear reactors and underground disposal of nuclear waste, petroleum reservoir operations, building insulation, food processing, casting and welding in manufacturing processes [13][14][15] and many more. Some studies of porous medium and oscillatory flow are discussed in [18][19][20][21][22][23][24][25][26] and several references therein.…”