Transient Mixed Convection Flow of A Second-Grade Visco-Elastic Fluid over a Vertical Surface
The viscoelastic boundary layer flow and mixed convection heat transfer near a vertical isothermal surface have been examined in this paper. The governing equations are formulated and solved numerically using an explicit finite difference technique. The velocity and temperature profiles, boundary l...
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doaj-545eac14828547f7be1c363594c3d79e2020-11-25T01:20:47ZengVilnius University PressNonlinear Analysis1392-51132335-89632008-04-0113210.15388/NA.2008.13.2.14577Transient Mixed Convection Flow of A Second-Grade Visco-Elastic Fluid over a Vertical SurfaceR. A. Damseh0A. S. Shatnawi1A. J. Chamkha2H. M. Duwairi3Albalqa Applied University, JordanThe University of Jordan, JordanThe Public Authority for Applied Education and Training, KuwaitThe University of Jordan, Jordan The viscoelastic boundary layer flow and mixed convection heat transfer near a vertical isothermal surface have been examined in this paper. The governing equations are formulated and solved numerically using an explicit finite difference technique. The velocity and temperature profiles, boundary layer thicknesses, Nusselt numbers and the local skin friction coefficients are shown graphically for different values of the viscoelsatic parameter. In general, it is found that the velocity decreases inside the boundary layer as the viscoelsatic parameter is increased and consequently, the local Nusselt number decreases. This is due to higher tensile stresses between viscoelsatic fluid layers which has a retardation effects on the motion of these layers and consequently, on the heat transfer rates for the mixed convection heat transfer problem under investigation. A Comparison with available published results on special cases of the problem shows excellent agreement. http://www.journals.vu.lt/nonlinear-analysis/article/view/14577viscoelastic fluidstransientmixed convection |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
R. A. Damseh A. S. Shatnawi A. J. Chamkha H. M. Duwairi |
spellingShingle |
R. A. Damseh A. S. Shatnawi A. J. Chamkha H. M. Duwairi Transient Mixed Convection Flow of A Second-Grade Visco-Elastic Fluid over a Vertical Surface Nonlinear Analysis viscoelastic fluids transient mixed convection |
author_facet |
R. A. Damseh A. S. Shatnawi A. J. Chamkha H. M. Duwairi |
author_sort |
R. A. Damseh |
title |
Transient Mixed Convection Flow of A Second-Grade Visco-Elastic Fluid over a Vertical Surface |
title_short |
Transient Mixed Convection Flow of A Second-Grade Visco-Elastic Fluid over a Vertical Surface |
title_full |
Transient Mixed Convection Flow of A Second-Grade Visco-Elastic Fluid over a Vertical Surface |
title_fullStr |
Transient Mixed Convection Flow of A Second-Grade Visco-Elastic Fluid over a Vertical Surface |
title_full_unstemmed |
Transient Mixed Convection Flow of A Second-Grade Visco-Elastic Fluid over a Vertical Surface |
title_sort |
transient mixed convection flow of a second-grade visco-elastic fluid over a vertical surface |
publisher |
Vilnius University Press |
series |
Nonlinear Analysis |
issn |
1392-5113 2335-8963 |
publishDate |
2008-04-01 |
description |
The viscoelastic boundary layer flow and mixed convection heat transfer near a vertical isothermal surface have been examined in this paper. The governing equations are formulated and solved numerically using an explicit finite difference technique. The velocity and temperature profiles, boundary layer thicknesses, Nusselt numbers and the local skin friction coefficients are shown graphically for different values of the viscoelsatic parameter. In general, it is found that the velocity decreases inside the boundary layer as the viscoelsatic parameter is increased and consequently, the local Nusselt number decreases. This is due to higher tensile stresses between viscoelsatic fluid layers which has a retardation effects on the motion of these layers and consequently, on the heat transfer rates for the mixed convection heat transfer problem under investigation. A Comparison with available published results on special cases of the problem shows excellent agreement.
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topic |
viscoelastic fluids transient mixed convection |
url |
http://www.journals.vu.lt/nonlinear-analysis/article/view/14577 |
work_keys_str_mv |
AT radamseh transientmixedconvectionflowofasecondgradeviscoelasticfluidoveraverticalsurface AT asshatnawi transientmixedconvectionflowofasecondgradeviscoelasticfluidoveraverticalsurface AT ajchamkha transientmixedconvectionflowofasecondgradeviscoelasticfluidoveraverticalsurface AT hmduwairi transientmixedconvectionflowofasecondgradeviscoelasticfluidoveraverticalsurface |
_version_ |
1725132108166332416 |