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.

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.

Unsteady stokes flow of micropolar fluid between two parallel porous plates

2001 ◽  
Vol 39 (14) ◽  
pp. 1557-1563 ◽  
Author(s):  
D. Srinivasacharya ◽  
J.V. Ramana Murthy ◽  
D. Venugopalam
Keyword(s):  
Stokes Flow ◽  
Micropolar Fluid ◽  
Unsteady Stokes Flow

Motion of slender bodies in unsteady Stokes flow

2011 ◽  
Vol 688 ◽  
pp. 66-87 ◽  
Author(s):  
Efrath Barta
Keyword(s):  
Stokes Flow ◽  
Slenderness Ratio ◽  
Creeping Flow ◽  
Slender Body Theory ◽  
Wide Range ◽  
Unsteady Stokes Flow ◽  
Slender Bodies ◽  
Set Up ◽  
Micro Organisms ◽  
Parameter Values

AbstractThe flow regime in the vicinity of oscillatory slender bodies, either an isolated one or a row of many bodies, immersed in viscous fluid (i.e. under creeping flow conditions) is studied. Applying the slender-body theory by distributing proper singularities on the bodies’ major axes yields reasonably accurate and easily computed solutions. The effect of the oscillations is revealed by comparisons with known Stokes flow solutions and is found to be most significant for motion along the normal direction. Streamline patterns associated with motion of a single body are characterized by formation and evolution of eddies. The motion of adjacent bodies results, with a reduction or an increase of the drag force exerted by each body depending on the direction of motion and the specific geometrical set-up. This dependence is demonstrated by parametric results for frequency of oscillations, number of bodies, their slenderness ratio and the spacing between them. Our method, being valid for a wide range of parameter values and for densely packed arrays of rods, enables simulation of realistic flapping of bristled wings of some tiny insects and of locomotion of flagella and ciliated micro-organisms, and might serve as an efficient tool in the design of minuscule vehicles. Its potency is demonstrated by a solution for the flapping of thrips.

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