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Investigation of heat mass transfer for combined convective slips flow: a lie group analysis

The steady laminar combined convective flow with heat and mass transfer of a Newtonian viscous incompressible fluid over a permeable flat plate with linear hydrodynamic and thermal slips has been investigated numerically. The velocity of the external flow, the suction/injection velocity and the temp...

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Main Authors: Md. Jashim Uddin,, Hamad, M.A.A, Md. Ismail, A.I
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2012
Online Access:http://journalarticle.ukm.my/5477/1/13%2520Md.%2520Jashim.pdf
http://journalarticle.ukm.my/5477/
http://www.ukm.my/jsm/
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spelling my-ukm.journal.54772016-12-14T06:38:34Z http://journalarticle.ukm.my/5477/ Investigation of heat mass transfer for combined convective slips flow: a lie group analysis Md. Jashim Uddin, Hamad, M.A.A Md. Ismail, A.I The steady laminar combined convective flow with heat and mass transfer of a Newtonian viscous incompressible fluid over a permeable flat plate with linear hydrodynamic and thermal slips has been investigated numerically. The velocity of the external flow, the suction/injection velocity and the temperature of the plate surface are assumed to vary nonlinearly following the power law with the distance along the plate from the origin. Lie group analysis is used to develop the similarity transformations and the governing momentum, the energy conservation and the mass conservation equations are converted to a system of coupled nonlinear ordinary differential equations with the associated boundary conditions. The resulting equations are solved numerically using the Runge-Kutta-Fehlberg fourth-fifth order numerical method. The effects of hydrodynamic slip parameter (a), thermal slip parameter (b), suction/injection parameter (fw), power law parameter (m), buoyancy ratio parameter (N), Prandtl number (Pr) and Schmidt number (Sc) on the fluid flow, heat transfer and mass transfer characteristics are investigated and presented graphically. We have also shown the effects of the Reynolds number (Re) and the power law parameter (m) on the velocity slip and the thermal slip factors. Good agreement is found between the numerical results of the present paper and published results. Universiti Kebangsaan Malaysia 2012 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/5477/1/13%2520Md.%2520Jashim.pdf Md. Jashim Uddin, and Hamad, M.A.A and Md. Ismail, A.I (2012) Investigation of heat mass transfer for combined convective slips flow: a lie group analysis. Sains Malaysiana, 41 (9). pp. 1139-1148. ISSN 0126-6039 http://www.ukm.my/jsm/
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
description The steady laminar combined convective flow with heat and mass transfer of a Newtonian viscous incompressible fluid over a permeable flat plate with linear hydrodynamic and thermal slips has been investigated numerically. The velocity of the external flow, the suction/injection velocity and the temperature of the plate surface are assumed to vary nonlinearly following the power law with the distance along the plate from the origin. Lie group analysis is used to develop the similarity transformations and the governing momentum, the energy conservation and the mass conservation equations are converted to a system of coupled nonlinear ordinary differential equations with the associated boundary conditions. The resulting equations are solved numerically using the Runge-Kutta-Fehlberg fourth-fifth order numerical method. The effects of hydrodynamic slip parameter (a), thermal slip parameter (b), suction/injection parameter (fw), power law parameter (m), buoyancy ratio parameter (N), Prandtl number (Pr) and Schmidt number (Sc) on the fluid flow, heat transfer and mass transfer characteristics are investigated and presented graphically. We have also shown the effects of the Reynolds number (Re) and the power law parameter (m) on the velocity slip and the thermal slip factors. Good agreement is found between the numerical results of the present paper and published results.
format Article
author Md. Jashim Uddin,
Hamad, M.A.A
Md. Ismail, A.I
spellingShingle Md. Jashim Uddin,
Hamad, M.A.A
Md. Ismail, A.I
Investigation of heat mass transfer for combined convective slips flow: a lie group analysis
author_facet Md. Jashim Uddin,
Hamad, M.A.A
Md. Ismail, A.I
author_sort Md. Jashim Uddin,
title Investigation of heat mass transfer for combined convective slips flow: a lie group analysis
title_short Investigation of heat mass transfer for combined convective slips flow: a lie group analysis
title_full Investigation of heat mass transfer for combined convective slips flow: a lie group analysis
title_fullStr Investigation of heat mass transfer for combined convective slips flow: a lie group analysis
title_full_unstemmed Investigation of heat mass transfer for combined convective slips flow: a lie group analysis
title_sort investigation of heat mass transfer for combined convective slips flow: a lie group analysis
publisher Universiti Kebangsaan Malaysia
publishDate 2012
url http://journalarticle.ukm.my/5477/1/13%2520Md.%2520Jashim.pdf
http://journalarticle.ukm.my/5477/
http://www.ukm.my/jsm/
_version_ 1643736424966520832
score 13.211869

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