Department of Mathematics, National Institute of Technology, Warangal, India
Research Article
Mathematical Modelling of an Oscillatory Flow of a Casson Fluid in an Elastic Tube with Suction/Injection
Author(s): 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 o.. Read More»
DOI:
10.37421/2168-9679.2024.13.560
Journal of Applied & Computational Mathematics received 1282 citations as per Google Scholar report