Abstract
A perturbation solution of the flow of a homogeneous Newtonian fluid through a tube of finite length with a permeable wall is analysed through a theoretical model in view of its applications in hemodynamics. The flow is characterized by three important parameters: G, the characteristic Reynolds number associated with the pressure outside the tube, β the ratio of radius to length of the tube, and ϵ a filtration coefficient. ϵ is assumed to be small so that the validity of the perturbation method is ensured. Perturbation solutions obtained up to O( ϵ 2) are discussed.
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