<span class="word">Computational <span class="word"><span class="changedDisabled">Fluid <span class="word"><span class="changedDisabled">Dynamics <span class="word"><span class="changedDisabled">Modeling <span class="word">of <span class="word"><span class="changedDisabled">Counter <span class="word"><span class="changedDisabled">Current <span class="word"><span class="changedDisabled">Flow <span class="word">in <span class="word"><span class="changedDisabled">Channels <span class="word"><span class="changedDisabled">Separated <span class="word">by <span class="word">a <span class="word"><span class="changedDisabled">Membrane

Counter and concurrent flow in channels separated by membrane were studied to simulate the mass transfer through the membranes in many experimental and theoretical published research, where limited of them use the computational fluid dynamics (CFD). The current study aims to numerically simulate and physically describe the mass transfer in the counter current flow by solving Navier–Stokes (N-S) equations in the channel and membrane holes (vertical channels), while most of the previous studies, the channel flow is simulated by using N-S equations and ultra-filtration flow (membrane holes-vertical channel) is simulated by using Darcy’s Law. Consequently, the current study was implemented by using CFD to achieve several significances: avoiding the experimental tests execution, reducing the effort of module design for expensive and time-consuming, and easy observing of the variations in pressure, horizontal and vertical velocity for the model. Two-dimensional CFD Methods directly simulated the flow in channels and membrane holes to solve the Navier-Stokes (N-S) equations in each point in the whole domain where the velocity (horizontal and vertical) and pressure are calculated. In the current study it was found that the pressure decreases from inlet to the outlet of the upper and lower channel, the horizontal velocity decreases from the inlet to middle of the upper and lower channel length and increases to the outlet of the upper and lower channel, and the vertical velocity decreases from the inlet to the middle of the upper and lower channel length and increases to the outlet of the upper and lower channel. The results perfectly explored and displayed the flow distribution patterns inside channels and described the ultra-filtration profiles along the surface and in the holes of the porous membrane which is like the hemodialysis process.