Rheological Analysis of CNT Suspended Nanofluid with Variable Viscosity： Numerical Solution
In this article, we discuss the two-dimensional stagnation-point flow of carbon nanotubes towards a stretch- ing sheet with water as the base fluid under the influence temperature dependent viscosity. Similarity transformations are used to simplify the governing boundary layer equations for nanoflui...
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| Published in | Communications in theoretical physics Vol. 67; no. 6; pp. 681 - 687 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Chinese Physical Society and IOP Publishing Ltd
01.06.2017
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0253-6102 |
| DOI | 10.1088/0253-6102/67/6/681 |
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| Abstract | In this article, we discuss the two-dimensional stagnation-point flow of carbon nanotubes towards a stretch- ing sheet with water as the base fluid under the influence temperature dependent viscosity. Similarity transformations are used to simplify the governing boundary layer equations for nanofluid. This is the first article on the stagnation point flow of CNTs over a stretching sheet with variable viscosity. A well known Reynold＇s model of viscosity is used. Single wall CNTs are used with water as a base fluid. The resulting nonlinear coupled equations with the relevant boundary conditions are solved numerically using shooting method. The influence of the flow parameters on the dimensionless velocity, temperature, skin friction, and Nusselt numbers are explored and presented in forms of graphs and interpreted physically. |
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| AbstractList | In this article, we discuss the two-dimensional stagnation-point flow of carbon nanotubes towards a stretching sheet with water as the base fluid under the influence temperature dependent viscosity. Similarity transformations are used to simplify the governing boundary layer equations for nanofluid. This is the first article on the stagnation point flow of CNTs over a stretching sheet with variable viscosity. A well known Reynold's model of viscosity is used. Single wall CNTs are used with water as a base fluid. The resulting nonlinear coupled equations with the relevant boundary conditions are solved numerically using shooting method. The influence of the flow parameters on the dimensionless velocity, temperature, skin friction, and Nusselt numbers are explored and presented in forms of graphs and interpreted physically. In this article, we discuss the two-dimensional stagnation-point flow of carbon nanotubes towards a stretch- ing sheet with water as the base fluid under the influence temperature dependent viscosity. Similarity transformations are used to simplify the governing boundary layer equations for nanofluid. This is the first article on the stagnation point flow of CNTs over a stretching sheet with variable viscosity. A well known Reynold＇s model of viscosity is used. Single wall CNTs are used with water as a base fluid. The resulting nonlinear coupled equations with the relevant boundary conditions are solved numerically using shooting method. The influence of the flow parameters on the dimensionless velocity, temperature, skin friction, and Nusselt numbers are explored and presented in forms of graphs and interpreted physically. |
| Author | Akbar, Noreen Sher Khan, Zafar Hayat |
| Author_xml | – sequence: 1 givenname: Noreen Sher surname: Akbar fullname: Akbar, Noreen Sher email: noreensher1@gmail.com organization: DBS&H, CEME, National University of Sciences and Technology , Pakistan – sequence: 2 givenname: Zafar Hayat surname: Khan fullname: Khan, Zafar Hayat organization: Department of Mathematics, University of Malakand Dir (lower) Khyber Pakhtunkhwa , Pakistan |
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| CitedBy_id | crossref_primary_10_1007_s40324_020_00215_0 crossref_primary_10_1016_j_applthermaleng_2018_01_111 crossref_primary_10_1155_2022_1832836 crossref_primary_10_1080_17455030_2023_2166149 crossref_primary_10_1088_1402_4896_ab47bb crossref_primary_10_1002_htj_22229 crossref_primary_10_1016_j_molliq_2022_121022 crossref_primary_10_1088_1402_4896_ab18ba |
| Cites_doi | 10.1007/s10483-014-1807-6 10.1007/s13204-013-0242-9 10.1016/j.icheatmasstransfer.2010.06.001 10.1016/j.camwa.2008.09.013 10.1063/1.4934583 10.2514/1.18341 10.1016/j.ijheatmasstransfer.2012.10.019 10.1002/aic.690070108 10.1002/zamm.19890691115 10.1016/j.ijthermalsci.2009.12.005 10.1166/jctn.2013.3253 10.1016/j.cja.2013.10.008 10.12785/amis/080419 10.1002/aic.690070211 10.1007/BF01587695 10.1016/j.molliq.2015.11.042 10.1109/TNANO.2015.2435899 10.1155/2013/865464 10.1007/s12648-013-0339-8 10.1016/j.nonrwa.2008.09.010 10.1016/j.synthmet.2007.05.009 10.1007/s11012-012-9541-6 10.1007/BF00853952 10.1016/j.ijheatmasstransfer.2010.01.032 10.1016/j.mcm.2011.11.043 10.1166/jctn.2014.3384 |
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| Notes | 11-2592/O3 Noreen Sher Akbar1 and Zafar Hayat Khan2 （1DBS＆H, CEME, National University of Sciences and Technology, Islamabad, Pakistan 2Department of Mathematics, University of Malakand Dir （lower） Khyber Pakhtunkhwa, Pakistan） two-dimensional flow, variable nanofluid viscosity, stagnation-point flow, stretching sheet, carbonnanotubes, numerical solution In this article, we discuss the two-dimensional stagnation-point flow of carbon nanotubes towards a stretch- ing sheet with water as the base fluid under the influence temperature dependent viscosity. Similarity transformations are used to simplify the governing boundary layer equations for nanofluid. This is the first article on the stagnation point flow of CNTs over a stretching sheet with variable viscosity. A well known Reynold＇s model of viscosity is used. Single wall CNTs are used with water as a base fluid. The resulting nonlinear coupled equations with the relevant boundary conditions are solved numerically using shooting method. The influence of the flow parameters on the dimensionless velocity, temperature, skin friction, and Nusselt numbers are explored and presented in forms of graphs and interpreted physically. |
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| References | 22 23 24 25 26 28 29 30 10 12 13 14 15 16 17 18 Bhaskar Reddy N. (27) 2014 19 1 2 3 5 6 Hiemenz K. (4) 1911; 326 7 8 9 Choi S. U. S. (11) 1995; 231 20 21 |
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| Title | Rheological Analysis of CNT Suspended Nanofluid with Variable Viscosity： Numerical Solution |
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