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NEW ANALYTICAL SOLUTION OF STAGNATION POINT FLOW IN A POROUS MEDIUM
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2011
Year
Numerical AnalysisMethod Of Fundamental SolutionPore StructureEngineeringIncompressible FlowFluid MechanicsCivil EngineeringNumerical SimulationBrinkmann EquationSemi-implicit MethodPorosityDisperse FlowMultiphase FlowPorous MediumReliable AlgorithmNumerical TreatmentPorous BodyNumerical Method For Partial Differential Equation
In this paper, we propose a reliable algorithm to develop approximate solutions for the problem of the Brinkmann equation governing the two-dimensional stagnation point flow in a porous medium. The governing system of partial differential equations is transformed into an ordinary differential equation. The differential transform method (DTM) is employed to compute an approximation to the solution of the nonlinear differential equation governing the problem in the form of a series with easily computable terms Then, the Padé approximant is applied to the solutions to increase the convergence of a given series. The features of the flow characteristics for different values of the governing parameters are analyzed and discussed. It is shown that the reliability and performance of the DTM is very good in comparison with differential transform method in solving this problem.