Open Physics · 2010 · 46 citations · 35 references
Natural SciencesPhysicsFluid DynamicsFluid MechanicsHydraulicsFlow ModelingFluid-flow In Porous MediaPorous Media FlowExpansionMicrochannel FlowMicrochannel HydrodynamicsMicropolar Fluid MechanicsPore-scale FlowPorous FlowTransformationsVolume Expansion Ratio
Abstract The flow of a micropolar fluid in a porous channel with expanding or contracting walls is investigated. The governing equations are reduced to ordinary ones by using similar transformations. Homotopy analysis method (HAM) is employed to obtain the expressions for the velocity fields and microrotation fields. Graphs are sketched for the effects of some values of parameters, especially the expansion ratio, on the velocity and microrotation fields and associated dynamic characteristics are analyzed in detail.
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On the homotopy analysis method for nonlinear problems
Shijun Liao · Applied Mathematics and Computation · 2003 · 1.8K citations
A. Cemal Eringen · Journal of Mathematical Analysis and Applications · 1972 · 794 citations