Stagnation-point flow and heat transfer over a stretching/ shrinking cylinder in nanofluids

A mathematical model is analyzed to study the effects of stretching/shrinking cylinder on a steady stagnation point flow and heat transfer characteristics in nanofluid. Using similarity transformation, the governing partial differential equations in cylindrical form are transformed to ordinary diffe...

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Main Authors: Omar, Noor Syamimi, Bachok @ Lati, Norfifah, Md. Arifin, Norihan
Format: Article
Language:English
Published: International Knowledge Press 2016
Subjects:
Online Access:http://psasir.upm.edu.my/id/eprint/53881/
http://psasir.upm.edu.my/id/eprint/53881/1/Stagnation-point%20flow%20and%20heat%20transfer%20over%20a%20stretching.pdf
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author Omar, Noor Syamimi
Bachok @ Lati, Norfifah
Md. Arifin, Norihan
author_facet Omar, Noor Syamimi
Bachok @ Lati, Norfifah
Md. Arifin, Norihan
author_sort Omar, Noor Syamimi
building UPM Institutional Repository
collection Online Access
description A mathematical model is analyzed to study the effects of stretching/shrinking cylinder on a steady stagnation point flow and heat transfer characteristics in nanofluid. Using similarity transformation, the governing partial differential equations in cylindrical form are transformed to ordinary differential equations. The resulting system of equation are solved numerically for three nanoparticles, namely copper (Cu), alumina (Al2O3) and titania (TiO2) in a water-based fluid with Prandtl number Pr = 6.2 by using a shooting method. The effects of the curvature parameter γ , stretching/shrinking parameter λ , solid volume fraction φ and heat transfer characteristics are thoroughly examined. It is found that dual solutions are exist for shrinking cylinder. It is observed that the surface shear stress and the heat transfer rate are increase as γ increases. This study also considered when the value of γ is very large and shows that the cylinder increases the range of existence of the similarity solution compared to flat plate ( γ= 0) . The results also shows that the skin friction coefficient and heat transfer rate increase as the value of φ is increase and Cu-water is the best heat transfer nanofluid compared to Al2O3-water and TiO2-water.
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spelling upm-538812018-02-20T01:04:45Z http://psasir.upm.edu.my/id/eprint/53881/ Stagnation-point flow and heat transfer over a stretching/ shrinking cylinder in nanofluids Omar, Noor Syamimi Bachok @ Lati, Norfifah Md. Arifin, Norihan A mathematical model is analyzed to study the effects of stretching/shrinking cylinder on a steady stagnation point flow and heat transfer characteristics in nanofluid. Using similarity transformation, the governing partial differential equations in cylindrical form are transformed to ordinary differential equations. The resulting system of equation are solved numerically for three nanoparticles, namely copper (Cu), alumina (Al2O3) and titania (TiO2) in a water-based fluid with Prandtl number Pr = 6.2 by using a shooting method. The effects of the curvature parameter γ , stretching/shrinking parameter λ , solid volume fraction φ and heat transfer characteristics are thoroughly examined. It is found that dual solutions are exist for shrinking cylinder. It is observed that the surface shear stress and the heat transfer rate are increase as γ increases. This study also considered when the value of γ is very large and shows that the cylinder increases the range of existence of the similarity solution compared to flat plate ( γ= 0) . The results also shows that the skin friction coefficient and heat transfer rate increase as the value of φ is increase and Cu-water is the best heat transfer nanofluid compared to Al2O3-water and TiO2-water. International Knowledge Press 2016 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/53881/1/Stagnation-point%20flow%20and%20heat%20transfer%20over%20a%20stretching.pdf Omar, Noor Syamimi and Bachok @ Lati, Norfifah and Md. Arifin, Norihan (2016) Stagnation-point flow and heat transfer over a stretching/ shrinking cylinder in nanofluids. Asian Journal of Mathematics and Computer Research, 12 (2). pp. 71-86. ISSN 2395-4205; ESSN: 2395-4213 http://www.ikpress.org/abstract/5536 Boundary layer; Stagnation point; Stretching and shrinking cylinder; Dual solutions; Nanofluid
spellingShingle Boundary layer; Stagnation point; Stretching and shrinking cylinder; Dual solutions; Nanofluid
Omar, Noor Syamimi
Bachok @ Lati, Norfifah
Md. Arifin, Norihan
Stagnation-point flow and heat transfer over a stretching/ shrinking cylinder in nanofluids
title Stagnation-point flow and heat transfer over a stretching/ shrinking cylinder in nanofluids
title_full Stagnation-point flow and heat transfer over a stretching/ shrinking cylinder in nanofluids
title_fullStr Stagnation-point flow and heat transfer over a stretching/ shrinking cylinder in nanofluids
title_full_unstemmed Stagnation-point flow and heat transfer over a stretching/ shrinking cylinder in nanofluids
title_short Stagnation-point flow and heat transfer over a stretching/ shrinking cylinder in nanofluids
title_sort stagnation-point flow and heat transfer over a stretching/ shrinking cylinder in nanofluids
topic Boundary layer; Stagnation point; Stretching and shrinking cylinder; Dual solutions; Nanofluid
url http://psasir.upm.edu.my/id/eprint/53881/
http://psasir.upm.edu.my/id/eprint/53881/
http://psasir.upm.edu.my/id/eprint/53881/1/Stagnation-point%20flow%20and%20heat%20transfer%20over%20a%20stretching.pdf