Flow of Casson Fluid Through Circular Porous Bearing
Keywords:
Casson fluid, porous slider, Navier-Stokes equations, nonlinear differential equations, HPM, FDMAbstract
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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