Zeitschrift für Angewandte und Computermathematik

Mathematical Modelling of an Oscillatory Flow of a Casson Fluid in an Elastic Tube with Suction/Injection

Abstract

Poosan Muthu* and A. Samatha

In the current mathematical model, examined the oscillatory flow of a Casson fluid in a thin walled elastic tube with a varying cross-section by assuming suction or injection at the tube wall and also permeability. The problem is developed that the elastic tube connects against longitudinal displacements. The perturbation approach is used to linearize the nonlinear governing equations to solve the flow characteristics. The differential equation for the pressure is solved numerically along with the corresponding initial conditions using Gill’s fourth order. The effects of Womersley parameter, velocity at the wall(suction/injection), elasticity parameter and Casson parameter on the modulus of wall shear stress and mean pressure drop are discussed through the graphs. Further noted that in a case of a locally constricted tube, the diverging part’s modulus of wall shear stress drops while the convergent part’s rises as Casson parameter, Womersley parameter increases.