Modeling heat and mass transfer in laminar forced flow between parallel plates with suction or injection boundary conditions

A numerical model was developed to simulate the transport phenomena of a flow between two parallel plates with one porous and one non-porous (or impermeable) wall. The continuity and momentum equations were solved first, assuming the suction or injection is uniform and wall Reynolds number is in the range of 5 Re 5 w − ≤ ≤ + . The results show that at a constant inlet and wall Reynolds number, the friction factor onthe porous wall with suction was bigger than that with injection, but the axial non-dimensional pressure drop with injection was larger than the pressure drop in the fully developed flow between impermeable plates and also larger than the pressure drop with suction. This is because of the net increase of the mean velocity of flow along the channel when injection is imposed. In the presence of suction the pressure drop is controlled by the suction rate and approaches a constant value as the inertia and viscous forces are counterbalanced in the flow. The energy equationwas solvedindependently assuming a constant suction or injection rate of air in the porous wall using different thermal boundary conditions. The results show that the Nusselt number distribution along the channel depends on the thermal boundary conditions imposed on porous and non-porous walls. The thermal characteristics also depend on whether suction or injection occurs through the porous wall.

Keywords:

Modeling , Developing flow , Heat and Mass transfer , Channel ,