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Effects of Thermal Radiation and Free Convection Currents on the Unsteady Couette Flow Between Two Vertical Parallel Plates with Constant Heat Flux at one Boundary

An exact analysis of the natural convection in unsteady Couette flow of a viscous incompressible fluid confined between two vertical parallel plates in the presence of thermal radiation is performed. The flow is induced by means of Couette motion and free convection currents occurring as a result...

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Main Author: Marneni, Narahari
Format: Citation Index Journal
Published: WSEAS 2010
Subjects:
QA Mathematics
TJ Mechanical engineering and machinery
TP Chemical technology
Online Access:http://eprints.utp.edu.my/3540/1/Effects_of_thermal_radiation_and_free_convection_currents_on_the_unsteady_Couette_flow_between_two_vertical_parallel_plates_with_constant_heat_flux_at_on_boundary.pdf
http://eprints.utp.edu.my/3540/
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spelling my.utp.eprints.35402017-03-20T01:59:56Z Effects of Thermal Radiation and Free Convection Currents on the Unsteady Couette Flow Between Two Vertical Parallel Plates with Constant Heat Flux at one Boundary Marneni, Narahari QA Mathematics TJ Mechanical engineering and machinery TP Chemical technology An exact analysis of the natural convection in unsteady Couette flow of a viscous incompressible fluid confined between two vertical parallel plates in the presence of thermal radiation is performed. The flow is induced by means of Couette motion and free convection currents occurring as a result of application of constant heat flux on the wall with a uniform vertical motion in its own plane while constant temperature on the stationary wall. The fluid considered here is a gray, absorbing-emitting but non-scattering medium, and the Rosseland approximation is used to describe the radiative heat flux in the analysis. The dimensionless governing partial differential equations are solved using Laplace transform technique. Numerical results for the velocity, the temperature, the skin-friction, the Nusselt number, the volume flow rate and the vertical heat flux are shown graphically. The effect of different parameters like thermal radiation parameter, Grashof number, Prandtl number and time are discussed. It is observed that the momentum and thermal boundary layer thickness decreases owing to an increase in the value of the radiation parameter. An increase in the Grashof number is found to increase the velocity of air and water and to decrease the skin-friction at the moving plate. WSEAS 2010-01 Citation Index Journal PeerReviewed application/pdf http://eprints.utp.edu.my/3540/1/Effects_of_thermal_radiation_and_free_convection_currents_on_the_unsteady_Couette_flow_between_two_vertical_parallel_plates_with_constant_heat_flux_at_on_boundary.pdf Marneni, Narahari (2010) Effects of Thermal Radiation and Free Convection Currents on the Unsteady Couette Flow Between Two Vertical Parallel Plates with Constant Heat Flux at one Boundary. [Citation Index Journal] http://eprints.utp.edu.my/3540/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
topic QA Mathematics
TJ Mechanical engineering and machinery
TP Chemical technology
spellingShingle QA Mathematics
TJ Mechanical engineering and machinery
TP Chemical technology
Marneni, Narahari
Effects of Thermal Radiation and Free Convection Currents on the Unsteady Couette Flow Between Two Vertical Parallel Plates with Constant Heat Flux at one Boundary
description An exact analysis of the natural convection in unsteady Couette flow of a viscous incompressible fluid confined between two vertical parallel plates in the presence of thermal radiation is performed. The flow is induced by means of Couette motion and free convection currents occurring as a result of application of constant heat flux on the wall with a uniform vertical motion in its own plane while constant temperature on the stationary wall. The fluid considered here is a gray, absorbing-emitting but non-scattering medium, and the Rosseland approximation is used to describe the radiative heat flux in the analysis. The dimensionless governing partial differential equations are solved using Laplace transform technique. Numerical results for the velocity, the temperature, the skin-friction, the Nusselt number, the volume flow rate and the vertical heat flux are shown graphically. The effect of different parameters like thermal radiation parameter, Grashof number, Prandtl number and time are discussed. It is observed that the momentum and thermal boundary layer thickness decreases owing to an increase in the value of the radiation parameter. An increase in the Grashof number is found to increase the velocity of air and water and to decrease the skin-friction at the moving plate.
format Citation Index Journal
author Marneni, Narahari
author_facet Marneni, Narahari
author_sort Marneni, Narahari
title Effects of Thermal Radiation and Free Convection Currents on the Unsteady Couette Flow Between Two Vertical Parallel Plates with Constant Heat Flux at one Boundary
title_short Effects of Thermal Radiation and Free Convection Currents on the Unsteady Couette Flow Between Two Vertical Parallel Plates with Constant Heat Flux at one Boundary
title_full Effects of Thermal Radiation and Free Convection Currents on the Unsteady Couette Flow Between Two Vertical Parallel Plates with Constant Heat Flux at one Boundary
title_fullStr Effects of Thermal Radiation and Free Convection Currents on the Unsteady Couette Flow Between Two Vertical Parallel Plates with Constant Heat Flux at one Boundary
title_full_unstemmed Effects of Thermal Radiation and Free Convection Currents on the Unsteady Couette Flow Between Two Vertical Parallel Plates with Constant Heat Flux at one Boundary
title_sort effects of thermal radiation and free convection currents on the unsteady couette flow between two vertical parallel plates with constant heat flux at one boundary
publisher WSEAS
publishDate 2010
url http://eprints.utp.edu.my/3540/1/Effects_of_thermal_radiation_and_free_convection_currents_on_the_unsteady_Couette_flow_between_two_vertical_parallel_plates_with_constant_heat_flux_at_on_boundary.pdf
http://eprints.utp.edu.my/3540/
_version_ 1738655271774846976
score 13.211869

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