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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Format: | Article |
Language: | English |
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Ram Arti Publishers
2019-12-01
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Series: | International Journal of Mathematical, Engineering and Management Sciences |
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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. |
first_indexed | 2024-12-21T04:59:47Z |
format | Article |
id | doaj.art-f125d39d141348e2b7eb3dcac093990a |
institution | Directory Open Access Journal |
issn | 2455-7749 2455-7749 |
language | English |
last_indexed | 2024-12-21T04:59:47Z |
publishDate | 2019-12-01 |
publisher | Ram Arti Publishers |
record_format | Article |
series | International Journal of Mathematical, Engineering and Management Sciences |
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 |