Journal of Porous Media · 2009 · 14 citations · 0 references
Natural SciencesPetroleum EngineeringPhysicsComputational Fluid DynamicsFluid DynamicsHydraulicsFlow ModelingFluid-flow In Porous MediaNumerical Methods For Differential EquationsPerturbation MethodsPorous Media FlowComputational HomotopyMicrochannel HydrodynamicsMicropolar Fluid MechanicsNonlinear Partial Differential EquationsNumerical Simulation Of Flow And TransportPerturbation Of Nonlinear Differential EquationsPorous FlowTwo-dimensional Flow Modeling
In this article, the problem of two-dimensional flow of a micropolar fluid in a porous channel is presented, and the homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. Comparisons are made between the numerical solution and the results of the HPM. The results reveal that this method is very effective and simple and can be applied to other nonlinear problems.