Cell Models for Non-Newtonian Fluid Past a Semipermeable Sphere

This paper is focused on investigating the boundary effects of the steady translational motion of a semipermeable sphere located at the center of a spherical envelope filled with an incompressible micropolar fluid. Stokes equations of micropolar fluid are employed inside the spherical envelope and D...

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Main Author: Madasu Krishna Prasad
Format: Article
Language:English
Published: Ram Arti Publishers 2019-12-01
Series:International Journal of Mathematical, Engineering and Management Sciences
Subjects:
Online Access:https://www.ijmems.in/assets//106-IJMEMS-1-187678-Vol.%204,%20No.%206,%201352%E2%80%931361,%202019.pdf
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author Madasu Krishna Prasad
author_facet Madasu Krishna Prasad
author_sort Madasu Krishna Prasad
collection DOAJ
description This paper is focused on investigating the boundary effects of the steady translational motion of a semipermeable sphere located at the center of a spherical envelope filled with an incompressible micropolar fluid. Stokes equations of micropolar fluid are employed inside the spherical envelope and Darcy’s law governs in semipermeable region. On the surface of semipermeable sphere, the boundary conditions used are continuity of normal velocity, vanishing of tangential velocity of micropolar fluid, and continuity of pressure. On the surface of the spherical envelope, the Happel’s, Kuwabara’s, Kvashnin’s, and Cunningham’s boundary conditions, are used along with no spin boundary condition. The expression for the hydrodynamic normalized drag force acting on the semipermeable sphere is obtained. The limiting cases of drag expression exerted on the semipermeable sphere and impermeable solid sphere in cell models filled with Newtonian fluid are obtained. Also, in absence of envelope, the drag expression for the micropolar fluid past a semipermeable sphere is obtained.
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spelling doaj.art-f125d39d141348e2b7eb3dcac093990a2022-12-21T19:15:17ZengRam Arti PublishersInternational Journal of Mathematical, Engineering and Management Sciences2455-77492455-77492019-12-01461352136110.33889/IJMEMS.2019.4.6-106Cell Models for Non-Newtonian Fluid Past a Semipermeable SphereMadasu Krishna Prasad0Department of Mathematics, National Institute of Technology, Raipur-492010, Chhattisgarh, IndiaThis paper is focused on investigating the boundary effects of the steady translational motion of a semipermeable sphere located at the center of a spherical envelope filled with an incompressible micropolar fluid. Stokes equations of micropolar fluid are employed inside the spherical envelope and Darcy’s law governs in semipermeable region. On the surface of semipermeable sphere, the boundary conditions used are continuity of normal velocity, vanishing of tangential velocity of micropolar fluid, and continuity of pressure. On the surface of the spherical envelope, the Happel’s, Kuwabara’s, Kvashnin’s, and Cunningham’s boundary conditions, are used along with no spin boundary condition. The expression for the hydrodynamic normalized drag force acting on the semipermeable sphere is obtained. The limiting cases of drag expression exerted on the semipermeable sphere and impermeable solid sphere in cell models filled with Newtonian fluid are obtained. Also, in absence of envelope, the drag expression for the micropolar fluid past a semipermeable sphere is obtained.https://www.ijmems.in/assets//106-IJMEMS-1-187678-Vol.%204,%20No.%206,%201352%E2%80%931361,%202019.pdfSemipermeable sphereMicropolar fluidDarcy’s lawDrag force
spellingShingle Madasu Krishna Prasad
Cell Models for Non-Newtonian Fluid Past a Semipermeable Sphere
International Journal of Mathematical, Engineering and Management Sciences
Semipermeable sphere
Micropolar fluid
Darcy’s law
Drag force
title Cell Models for Non-Newtonian Fluid Past a Semipermeable Sphere
title_full Cell Models for Non-Newtonian Fluid Past a Semipermeable Sphere
title_fullStr Cell Models for Non-Newtonian Fluid Past a Semipermeable Sphere
title_full_unstemmed Cell Models for Non-Newtonian Fluid Past a Semipermeable Sphere
title_short Cell Models for Non-Newtonian Fluid Past a Semipermeable Sphere
title_sort cell models for non newtonian fluid past a semipermeable sphere
topic Semipermeable sphere
Micropolar fluid
Darcy’s law
Drag force
url https://www.ijmems.in/assets//106-IJMEMS-1-187678-Vol.%204,%20No.%206,%201352%E2%80%931361,%202019.pdf
work_keys_str_mv AT madasukrishnaprasad cellmodelsfornonnewtonianfluidpastasemipermeablesphere