Free convection boundary layer flow of a nanofluid from a convectively heated vertical plate with linear momentum slip boundary condition

Two dimensional steady laminar boundary layer flow of a nanofluid over a convectively heated vertical flat plate with linear momentum slip boundary condition has been studied numerically. The governing boundary layer equations are non-dimensionalized and transformed into a two point boundary value p...

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Main Authors:	Md Jashim Uddin, Pop, I, Md. Ismail, A.I
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2012
Online Access:	http://journalarticle.ukm.my/5585/ http://journalarticle.ukm.my/5585/ http://journalarticle.ukm.my/5585/1/18%2520Md%2520Jashim.pdf

id	ukm-5585
recordtype	eprints
spelling	ukm-55852016-12-14T06:38:53Z http://journalarticle.ukm.my/5585/ Free convection boundary layer flow of a nanofluid from a convectively heated vertical plate with linear momentum slip boundary condition Md Jashim Uddin, Pop, I Md. Ismail, A.I Two dimensional steady laminar boundary layer flow of a nanofluid over a convectively heated vertical flat plate with linear momentum slip boundary condition has been studied numerically. The governing boundary layer equations are non-dimensionalized and transformed into a two point boundary value problem of coupled nonlinear ordinary differential equations in similarity variable before being solved numerically. The resulting equations with corresponding boundary conditions have been solved numerically by Maple 13 which uses Runge-Kutta-Fehlberg fourth- fifth order numerical algorithm for solving nonlinear ordinary boundary value problems. Our analysis reveals that the similarity solution is possible if the convective heat transfer coefficient is directly proportional to x–1/4, where x is the axial distance from the leading edge of the plate. Solutions depend on the seven parameters: Prandtl number, buoyancy ratio, Brownian motion, thermophoresis, Lewis number, momentum slip and convective heat transfer. The effects of the governing parameters on the flow and heat transfer characteristics have been shown graphically and discussed. Comparisons of the present numerical solution with the existing results in the literature are made and our results are in very good agreement. Results for the skin friction factor, the reduced Nusselt and the Sherwood numbers are provided in tabular form for various values of the convective heat transfer parameter. It is found that the skin friction coefficint reduces with the momentum slip and the buoyancy ratio parameters whilst it enhances with the convective heat transfer parameter. It is also found that mass transfer rate enhances with the Lewis number and the convective heat transfer parameter whilst it falls with the thermophoresis parameter. Universiti Kebangsaan Malaysia 2012-11 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/5585/1/18%2520Md%2520Jashim.pdf Md Jashim Uddin, and Pop, I and Md. Ismail, A.I (2012) Free convection boundary layer flow of a nanofluid from a convectively heated vertical plate with linear momentum slip boundary condition. Sains Malaysiana, 41 (11). pp. 1475-1482. ISSN 0126-6039 http://www.ukm.my/jsm/
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	Two dimensional steady laminar boundary layer flow of a nanofluid over a convectively heated vertical flat plate with linear momentum slip boundary condition has been studied numerically. The governing boundary layer equations are non-dimensionalized and transformed into a two point boundary value problem of coupled nonlinear ordinary differential equations in similarity variable before being solved numerically. The resulting equations with corresponding boundary conditions have been solved numerically by Maple 13 which uses Runge-Kutta-Fehlberg fourth- fifth order numerical algorithm for solving nonlinear ordinary boundary value problems. Our analysis reveals that the similarity solution is possible if the convective heat transfer coefficient is directly proportional to x–1/4, where x is the axial distance from the leading edge of the plate. Solutions depend on the seven parameters: Prandtl number, buoyancy ratio, Brownian motion, thermophoresis, Lewis number, momentum slip and convective heat transfer. The effects of the governing parameters on the flow and heat transfer characteristics have been shown graphically and discussed. Comparisons of the present numerical solution with the existing results in the literature are made and our results are in very good agreement. Results for the skin friction factor, the reduced Nusselt and the Sherwood numbers are provided in tabular form for various values of the convective heat transfer parameter. It is found that the skin friction coefficint reduces with the momentum slip and the buoyancy ratio parameters whilst it enhances with the convective heat transfer parameter. It is also found that mass transfer rate enhances with the Lewis number and the convective heat transfer parameter whilst it falls with the thermophoresis parameter.
format	Article
author	Md Jashim Uddin, Pop, I Md. Ismail, A.I
spellingShingle	Md Jashim Uddin, Pop, I Md. Ismail, A.I Free convection boundary layer flow of a nanofluid from a convectively heated vertical plate with linear momentum slip boundary condition
author_facet	Md Jashim Uddin, Pop, I Md. Ismail, A.I
author_sort	Md Jashim Uddin,
title	Free convection boundary layer flow of a nanofluid from a convectively heated vertical plate with linear momentum slip boundary condition
title_short	Free convection boundary layer flow of a nanofluid from a convectively heated vertical plate with linear momentum slip boundary condition
title_full	Free convection boundary layer flow of a nanofluid from a convectively heated vertical plate with linear momentum slip boundary condition
title_fullStr	Free convection boundary layer flow of a nanofluid from a convectively heated vertical plate with linear momentum slip boundary condition
title_full_unstemmed	Free convection boundary layer flow of a nanofluid from a convectively heated vertical plate with linear momentum slip boundary condition
title_sort	free convection boundary layer flow of a nanofluid from a convectively heated vertical plate with linear momentum slip boundary condition
publisher	Universiti Kebangsaan Malaysia
publishDate	2012
url	http://journalarticle.ukm.my/5585/ http://journalarticle.ukm.my/5585/ http://journalarticle.ukm.my/5585/1/18%2520Md%2520Jashim.pdf
first_indexed	2023-09-18T19:44:34Z
last_indexed	2023-09-18T19:44:34Z
_version_	1777405813513519104

Free convection boundary layer flow of a nanofluid from a convectively heated vertical plate with linear momentum slip boundary condition

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