Abstract
This study deals with the steady laminar slip flow of an incompressible Newtonian fluid in a non-uniform permeable channel under the influence of transverse magnetic field. The reabsorption through the wall is accounted for by considering flux as a function of downstream distance. The non-linear coupled partial differential equations of motion are first transformed into a single fourth order partial differential equation and then solved analytically using Adomain decomposition method. Effects of pertinent parameters on different flow properties are discussed by plotting graphs. Results reveal that magnetic field considerably influences the behavior of flow.
Highlights
The study of flow in ducts with permeable walls is of great practical interest both in engineering as well as bio-physical flows1–4
Berman5 was the first to study the effect of suction/injection at the permeable wall of the channel
Slip velocity is connected to the thin layer of the fluid that is flowing streamwise just below the permeable wall
Summary
The study of flow in ducts with permeable walls is of great practical interest both in engineering as well as bio-physical flows. Berman was the first to study the effect of suction/injection at the permeable wall of the channel. He used similarity solutions along with the perturbation method to analyze the velocity and pressure fields. Many authors studied the problem of flow in permeable ducts in context of its application to flow in renal tubule. To study the flow problems, authors frequently used the no-slip condition at the solid boundaries. This assumption is an idealization and has no empirical justification when fluid flows over a permeable boundary.
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