Mixed convection boundary layer flow along vertical moving thin needles with variable heat flux

The problem of steady laminar mixed convection boundary layer flow of an incompressible viscous fluid along vertical moving thin needles with variable heat flux for both assisting and opposing flow cases is theoretically considered in this paper. The governing boundary layer equations are first tran...

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Main Authors: Ahmad, Syakila, Md Arifin, Norihan, Mohd Nazar, Roslinda, Pop, Ioan
Format: Article
Language:English
English
Published: Springer Berlin / Heidelberg 2008
Online Access:http://psasir.upm.edu.my/id/eprint/7066/1/Mixed%20convection%20boundary%20layer%20flow%20along%20vertical%20moving%20thin%20needles%20with%20variable%20heat%20flux.pdf
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author Ahmad, Syakila
Md Arifin, Norihan
Mohd Nazar, Roslinda
Pop, Ioan
author_facet Ahmad, Syakila
Md Arifin, Norihan
Mohd Nazar, Roslinda
Pop, Ioan
author_sort Ahmad, Syakila
collection UPM
description The problem of steady laminar mixed convection boundary layer flow of an incompressible viscous fluid along vertical moving thin needles with variable heat flux for both assisting and opposing flow cases is theoretically considered in this paper. The governing boundary layer equations are first transformed into non-dimensional forms. The curvature effects are incorporated into the analysis whereas the pressure variation in the axial direction has been neglected. These equations are then transformed into similarity equations using the similarity variables, which are solved numerically using an implicit finite-difference scheme known as the Keller-box method. The solutions are obtained for a blunt-nosed needle (m = 0). Numerical calculations are carried out for various values of the dimensionless parameters of the problem, which include the mixed convection parameter λ, the Prandtl number Pr and the parameter a representing the needle size. It is shown from the numerical results that the skin friction coefficient, the surface (wall) temperature and the velocity and temperature profiles are significantly influenced by these parameters. The results are presented in graphical form and are discussed in detail.
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spelling upm.eprints-70662015-12-03T09:00:45Z http://psasir.upm.edu.my/id/eprint/7066/ Mixed convection boundary layer flow along vertical moving thin needles with variable heat flux Ahmad, Syakila Md Arifin, Norihan Mohd Nazar, Roslinda Pop, Ioan The problem of steady laminar mixed convection boundary layer flow of an incompressible viscous fluid along vertical moving thin needles with variable heat flux for both assisting and opposing flow cases is theoretically considered in this paper. The governing boundary layer equations are first transformed into non-dimensional forms. The curvature effects are incorporated into the analysis whereas the pressure variation in the axial direction has been neglected. These equations are then transformed into similarity equations using the similarity variables, which are solved numerically using an implicit finite-difference scheme known as the Keller-box method. The solutions are obtained for a blunt-nosed needle (m = 0). Numerical calculations are carried out for various values of the dimensionless parameters of the problem, which include the mixed convection parameter λ, the Prandtl number Pr and the parameter a representing the needle size. It is shown from the numerical results that the skin friction coefficient, the surface (wall) temperature and the velocity and temperature profiles are significantly influenced by these parameters. The results are presented in graphical form and are discussed in detail. Springer Berlin / Heidelberg 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/7066/1/Mixed%20convection%20boundary%20layer%20flow%20along%20vertical%20moving%20thin%20needles%20with%20variable%20heat%20flux.pdf Ahmad, Syakila and Md Arifin, Norihan and Mohd Nazar, Roslinda and Pop, Ioan (2008) Mixed convection boundary layer flow along vertical moving thin needles with variable heat flux. Heat and Mass Transfer, 44 (4). pp. 473-479. ISSN 0947-7411 http://dx.doi.org/10.1007/s00231-007-0263-6 10.1007/s00231-007-0263-6 English
spellingShingle Ahmad, Syakila
Md Arifin, Norihan
Mohd Nazar, Roslinda
Pop, Ioan
Mixed convection boundary layer flow along vertical moving thin needles with variable heat flux
title Mixed convection boundary layer flow along vertical moving thin needles with variable heat flux
title_full Mixed convection boundary layer flow along vertical moving thin needles with variable heat flux
title_fullStr Mixed convection boundary layer flow along vertical moving thin needles with variable heat flux
title_full_unstemmed Mixed convection boundary layer flow along vertical moving thin needles with variable heat flux
title_short Mixed convection boundary layer flow along vertical moving thin needles with variable heat flux
title_sort mixed convection boundary layer flow along vertical moving thin needles with variable heat flux
url http://psasir.upm.edu.my/id/eprint/7066/1/Mixed%20convection%20boundary%20layer%20flow%20along%20vertical%20moving%20thin%20needles%20with%20variable%20heat%20flux.pdf
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AT popioan mixedconvectionboundarylayerflowalongverticalmovingthinneedleswithvariableheatflux