STOKES FLOW OF AN INCOMPRESSIBLE MICROPOLAR FLUID PAST A POROUS SPHEROID

2015 ◽  
Vol 90 (2) ◽  
pp. 115-147 ◽  
Author(s):  
T. K. V. Iyengar ◽  
T. S. L. Radhika
Keyword(s):  
Stokes Flow ◽  
Micropolar Fluid ◽  
Incompressible Micropolar Fluid

Stokes flow of an incompressible micropolar fluid past a porous spheroidal shell

2011 ◽  
Vol 59 (1) ◽  
pp. 63-74 ◽  
Author(s):  
T. Iyengar ◽  
T. Radhika
Keyword(s):  
Fluid Flow ◽  
Stokes Flow ◽  
Micropolar Fluid ◽  
Legendre Functions ◽  
Numerical Work ◽  
Flow Equations ◽  
Porous Region ◽  
Permeability Parameter ◽  
Incompressible Micropolar Fluid ◽  
Flow Variables

Stokes flow of an incompressible micropolar fluid past a porous spheroidal shellConsider a pair of confocal prolate spheroids S0and S1where S0is within S1. Let the spheroid S0be a solid and the annular region between S0and S1be porous. The present investigation deals with a flow of an incompressible micropolar fluid past S1with a uniform stream at infinity along the common axis of symmetry of the spheroids. The flow outside the spheroid S1is assumed to follow the linearized version of Eringen's micropolar fluid flow equations and the flow within the porous region is assumed to be governed by the classical Darcy's law. The fluid flow variables within the porous and free regions are determined in terms of Legendre functions, prolate spheroidal radial and angular wave functions and a formula for the drag on the spheroid is obtained. Numerical work is undertaken to study the variation of the drag with respect to the geometric parameter, material parameter and the permeability parameter of the porous region. An interesting feature of the investigation deals with the presentation of the streamline pattern.

scholarly journals Flow of Micropolar Fluid Between Two Parallel Plates with Different Periodic Suction and Injection

2020 ◽  
Vol 9 (3) ◽  
pp. 1078-1087
Keyword(s):  
Stream Function ◽  
Stokes Flow ◽  
Micropolar Fluid ◽  
Frequency Parameter ◽  
Lower Plate ◽  
Parallel Plates ◽  
Velocity Function ◽  
Dimensionless Parameters ◽  
Unsteady Stokes Flow ◽  
Incompressible Micropolar Fluid

The unsteady stokes flow of incompressible micropolar fluid between two porous plates is considered. The lower plate is subjected to periodic suction and different periodic injection is applied at the upper plate. Stream function for the flow is obtained and the variation of velocity function f  & g with  is shown graphically. The effects of the dimensionless parameters p, frequency parameter pt , micropolarity parameter pl and the microrotation parameter pj on the velocity functions f  and microrotation velocity function g are discussed and shown through the graphs.

Numerical Study of Micropolar Fluid Flow Past an Impervious Sphere

2018 ◽  
Vol 388 ◽  
pp. 344-349
Author(s):  
D.V. Jayalakshmamma ◽  
P.A. Dinesh ◽  
D.V. Chandrashekhar
Keyword(s):  
Differential Equation ◽  
Fluid Flow ◽  
Micropolar Fluid ◽  
Similarity Transformation ◽  
Numerical Study ◽  
Transformation Method ◽  
Governing Equations ◽  
Shooting Technique ◽  
Micropolar Fluid Flow ◽  
Incompressible Micropolar Fluid

The numerical study of axi-symmetric, steady flow of an incompressible micropolar fluid past an impervious sphere is presented by assuming uniform flow far away from the sphere. The continuity, linear and angular momentum equations are considered for incompressible micropolar fluid in accordance with Eringen. The governing equations of the physical problem are transformed to ordinary differential equation with variable co-efficient by using similarity transformation method. The obtained differential equation is then solved numerically by assuming the shooting technique. The effect of coupling and coupling stress parameter on the properties of the fluid flow is studied and demonstrated by graphs.

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