A Study on Oscillatory Micropolar Flow Beyond a Contaminated Micropolar Fluid Sphere

Phani Kumar Meduri; Vijaya Lakshmi Kunche

doi:10.37934/cfdl.16.2.133150

Authors

Phani Kumar Meduri Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati, Andhra Pradesh, India
Vijaya Lakshmi Kunche Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati, Andhra Pradesh, India

DOI:

https://doi.org/10.37934/cfdl.16.2.133150

Keywords:

micropolar fluid, oscillatory flow, drag force, slip condition, stagnant cap

Abstract

In this paper, the hypothesis of the axisymmetric rectilinear oscillatory flow beyond a micropolar tainted fluid sphere particle in an incompressible non-Newtonian fluid and also the axisymmetric rectilinear oscillatory flow over a viscous tainted fluid sphere particle in an incompressible Newtonian fluid with small amplitude oscillations have been investigated. The velocity field is exhibited in terms of stream functions, and a slip condition is considered on the boundary. The fluid velocities and microrotation components were derived through analytical procedure. The drag force acting on the particle was also computed and verified for special cases. The real drag and imaginary drag values are numerically extracted for varying slip parameter i.e., 2≤s≤30, micro polarity i.e., 8≤e≤32 , and viscosity ratio i.e., 5≤μ≤20 at a fixed parameter values k=0.1,ρ=0.6,ω=0.6,t=0.6. Graphs and tables are used to display the numerical results. It was observed that there was an inverse proportion between slip parameter values, real drag and direct proportion between slip parameter and imaginary drag, for different viscosity ratio and micro polarity values.

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Author Biographies

Phani Kumar Meduri , Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati, Andhra Pradesh, India

phanikumarmeduri@gmail.com

Vijaya Lakshmi Kunche, Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati, Andhra Pradesh, India

vijjikunche3@gmail.com

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