Flow of Casson Fluid Through Circular Porous Bearing

Authors

  • Sampath Kumar Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India
  • Nithyanand Pai Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India

Keywords:

Casson fluid, porous slider, Navier-Stokes equations, nonlinear differential equations, HPM, FDM

Abstract

The present work is connected with fluid dynamics aspects of circular slider. It is study

about flow of Casson fluid through circular porous bearing. In this model Casson fluid

is forced through the porous bottom of a circular slider which is moving laterally on a

horizontal plane. The governing Navier Stokes equations are derived and reduced to

nonlinear ordinary differential equations through transformations. The problem is

analysed through Homotopy Perturbation Method (HPM) and Finite Difference

Method (FDM). The effective terms in the HPM representing the physical parameters

reveal the qualitative features of the flow. The results are presented for the velocity,

wall gradients of vertical velocity functions and lateral velocity functions values in its

absolute values with cross Reynolds number. The results are validated by two methods

and are in good agreement. They show that they are increasing at one wall and

decreasing at the other wall. It is clear that the efficiency of porous slider bearing

increases in case of the Cason fluid. The model has application in hydrostatic thrust

bearings and air cushioned vehicles. Further friction is greatly reduced in the present

case. So it has importance in industry and technology.

 

 

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Published

2024-10-14

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Section

Articles