Effects of Variation of Viscosity and Viscous Dissipation on Oberbeck Magnetoconvection in a Chiral Fluid

The flow and heat transfer characteristics of Oberbeck convection of a chiral fluid in the presence of the transverse magnetic field, viscous dissipation and variable viscosity are investigated. The coupled non-linear ordinary differential equations governing the flow and heat transfer characteristi...

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Main Authors: N. Rudraiah, N Sujatha, J.S Kumar
Format: Article
Language:English
Published: Isfahan University of Technology 2013-01-01
Series:Journal of Applied Fluid Mechanics
Subjects:
Online Access:http://jafmonline.net/JournalArchive/download?file_ID=27010&issue_ID=212
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author N. Rudraiah
N Sujatha
J.S Kumar
author_facet N. Rudraiah
N Sujatha
J.S Kumar
author_sort N. Rudraiah
collection DOAJ
description The flow and heat transfer characteristics of Oberbeck convection of a chiral fluid in the presence of the transverse magnetic field, viscous dissipation and variable viscosity are investigated. The coupled non-linear ordinary differential equations governing the flow and heat transfer characteristics of the problem are solved both analytically and numerically. The analytical solutions are obtained using a regular perturbation and numerical solutions obtained using finite difference method. The solution is valid for small values of Buoyancy parameter N and variable viscosity parameter R1. The analytical results are compared with the numerical results and found good agreement.The role of temperature dependent viscosity and viscous dissipation on velocity, temperature, skin friction and the rate of heat transfer are determined. The results are depicted graphically, from these graphs it is noticed that the velocity is parabolic in nature and increases with an increase in magnetochiral number M . Physically this is attributed to the fact that magnetochiral number introduces small scale turbulences.
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spelling doaj.art-123b52ed26394447aef79f876b3bdd2b2022-12-21T21:18:10ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-36452013-01-0162229237.Effects of Variation of Viscosity and Viscous Dissipation on Oberbeck Magnetoconvection in a Chiral FluidN. RudraiahN Sujatha0J.S Kumar1National Research Institute for Applied Mathematics, IndiaIndian Institute of Technology BhubaneswarThe flow and heat transfer characteristics of Oberbeck convection of a chiral fluid in the presence of the transverse magnetic field, viscous dissipation and variable viscosity are investigated. The coupled non-linear ordinary differential equations governing the flow and heat transfer characteristics of the problem are solved both analytically and numerically. The analytical solutions are obtained using a regular perturbation and numerical solutions obtained using finite difference method. The solution is valid for small values of Buoyancy parameter N and variable viscosity parameter R1. The analytical results are compared with the numerical results and found good agreement.The role of temperature dependent viscosity and viscous dissipation on velocity, temperature, skin friction and the rate of heat transfer are determined. The results are depicted graphically, from these graphs it is noticed that the velocity is parabolic in nature and increases with an increase in magnetochiral number M . Physically this is attributed to the fact that magnetochiral number introduces small scale turbulences.http://jafmonline.net/JournalArchive/download?file_ID=27010&issue_ID=212Chiral fluids Oberbeck convection Regular perturbation Finite difference method.
spellingShingle N. Rudraiah
N Sujatha
J.S Kumar
Effects of Variation of Viscosity and Viscous Dissipation on Oberbeck Magnetoconvection in a Chiral Fluid
Journal of Applied Fluid Mechanics
Chiral fluids
Oberbeck convection
Regular perturbation
Finite difference method.
title Effects of Variation of Viscosity and Viscous Dissipation on Oberbeck Magnetoconvection in a Chiral Fluid
title_full Effects of Variation of Viscosity and Viscous Dissipation on Oberbeck Magnetoconvection in a Chiral Fluid
title_fullStr Effects of Variation of Viscosity and Viscous Dissipation on Oberbeck Magnetoconvection in a Chiral Fluid
title_full_unstemmed Effects of Variation of Viscosity and Viscous Dissipation on Oberbeck Magnetoconvection in a Chiral Fluid
title_short Effects of Variation of Viscosity and Viscous Dissipation on Oberbeck Magnetoconvection in a Chiral Fluid
title_sort effects of variation of viscosity and viscous dissipation on oberbeck magnetoconvection in a chiral fluid
topic Chiral fluids
Oberbeck convection
Regular perturbation
Finite difference method.
url http://jafmonline.net/JournalArchive/download?file_ID=27010&issue_ID=212
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