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Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis

A model of unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet with the presence of velocity slip is considered in this paper. The nanofluid model proposed by Tiwari and Das is applied where water with Prandtl number 6.2 has been chosen as the bas...

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Main Authors: Dzulkifli, Nor Fadhilah, Bachok @ Lati, Norfifah, Yacob, Nor Azizah, Md Arifin, Norihan, Rosali, Haliza
Format: Article
Language:English
Published: MDPI 2018
Online Access:http://psasir.upm.edu.my/id/eprint/74368/1/Unsteady%20stagnation-point%20flow%20and%20heat%20transfer%20over%20a%20permeable%20exponential%20stretchingshrinking%20sheet%20in%20nanofluid%20with%20slip%20velocity%20effect%20a%20stability%20analysis.pdf
http://psasir.upm.edu.my/id/eprint/74368/
https://www.mdpi.com/2076-3417/8/11/2172/pdf/1
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spelling my.upm.eprints.743682020-04-17T14:33:55Z http://psasir.upm.edu.my/id/eprint/74368/ Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis Dzulkifli, Nor Fadhilah Bachok @ Lati, Norfifah Yacob, Nor Azizah Md Arifin, Norihan Rosali, Haliza A model of unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet with the presence of velocity slip is considered in this paper. The nanofluid model proposed by Tiwari and Das is applied where water with Prandtl number 6.2 has been chosen as the base fluid, while three different nanoparticles are taken into consideration, namely Copper, Alumina, and Titania. The ordinary differential equations are solved using boundary value problem with fourth order accuracy (bvp4c) program in Matlab to find the numerical solutions of the skin friction and heat transfer coefficients for different parameters such as stretching/shrinking, velocity slip, nanoparticle volume fraction, suction/injection, and also different nanoparticles, for which the obtained results (dual solutions) are presented graphically. The velocity and temperature profiles are presented to show that the far field boundary conditions are asymptotically fulfilled, and validate the findings of dual solutions as displayed in the variations of the skin friction and heat transfer coefficients. The last part is to perform the stability analysis to determine a stable and physically-realizable solution. MDPI 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/74368/1/Unsteady%20stagnation-point%20flow%20and%20heat%20transfer%20over%20a%20permeable%20exponential%20stretchingshrinking%20sheet%20in%20nanofluid%20with%20slip%20velocity%20effect%20a%20stability%20analysis.pdf Dzulkifli, Nor Fadhilah and Bachok @ Lati, Norfifah and Yacob, Nor Azizah and Md Arifin, Norihan and Rosali, Haliza (2018) Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis. Applied Sciences, 8 (11). art. no. 2172. pp. 1-18. ISSN 2076-3417; ESSN: 2076-3417 https://www.mdpi.com/2076-3417/8/11/2172/pdf/1 10.3390/app8112172
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description A model of unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet with the presence of velocity slip is considered in this paper. The nanofluid model proposed by Tiwari and Das is applied where water with Prandtl number 6.2 has been chosen as the base fluid, while three different nanoparticles are taken into consideration, namely Copper, Alumina, and Titania. The ordinary differential equations are solved using boundary value problem with fourth order accuracy (bvp4c) program in Matlab to find the numerical solutions of the skin friction and heat transfer coefficients for different parameters such as stretching/shrinking, velocity slip, nanoparticle volume fraction, suction/injection, and also different nanoparticles, for which the obtained results (dual solutions) are presented graphically. The velocity and temperature profiles are presented to show that the far field boundary conditions are asymptotically fulfilled, and validate the findings of dual solutions as displayed in the variations of the skin friction and heat transfer coefficients. The last part is to perform the stability analysis to determine a stable and physically-realizable solution.
format Article
author Dzulkifli, Nor Fadhilah
Bachok @ Lati, Norfifah
Yacob, Nor Azizah
Md Arifin, Norihan
Rosali, Haliza
spellingShingle Dzulkifli, Nor Fadhilah
Bachok @ Lati, Norfifah
Yacob, Nor Azizah
Md Arifin, Norihan
Rosali, Haliza
Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis
author_facet Dzulkifli, Nor Fadhilah
Bachok @ Lati, Norfifah
Yacob, Nor Azizah
Md Arifin, Norihan
Rosali, Haliza
author_sort Dzulkifli, Nor Fadhilah
title Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis
title_short Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis
title_full Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis
title_fullStr Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis
title_full_unstemmed Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis
title_sort unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: a stability analysis
publisher MDPI
publishDate 2018
url http://psasir.upm.edu.my/id/eprint/74368/1/Unsteady%20stagnation-point%20flow%20and%20heat%20transfer%20over%20a%20permeable%20exponential%20stretchingshrinking%20sheet%20in%20nanofluid%20with%20slip%20velocity%20effect%20a%20stability%20analysis.pdf
http://psasir.upm.edu.my/id/eprint/74368/
https://www.mdpi.com/2076-3417/8/11/2172/pdf/1
_version_ 1665896019038044160
score 13.211869

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