MHD Williamson Nanofluid Flow over a Stretching Sheet through a Porous Medium under Effects of Joule Heating, Nonlinear Thermal Radiation, Heat Generation/Absorption, and Chemical Reaction
In this article, the effect of electromagnetic force with the effect of thermal radiation on the Williamson nanofluid on a stretching surface through a porous medium was studied considering the effect of both heat generation/absorption and Joule heating. On the other hand, the effect of Brownian mot...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/9950993 |
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| author | J. Bouslimi M. Omri R. A. Mohamed K. H. Mahmoud S. M. Abo-Dahab M. S. Soliman |
| author_facet | J. Bouslimi M. Omri R. A. Mohamed K. H. Mahmoud S. M. Abo-Dahab M. S. Soliman |
| author_sort | J. Bouslimi |
| collection | DOAJ |
| description | In this article, the effect of electromagnetic force with the effect of thermal radiation on the Williamson nanofluid on a stretching surface through a porous medium was studied considering the effect of both heat generation/absorption and Joule heating. On the other hand, the effect of Brownian motion and thermophoresis coefficients was considered. The system of nonlinear partial differential equations governing the study of fluid flow has transformed into a system of ordinary differential equations using similarity transformations and nondimensional variables which were subsequently solved numerically by using the Rung-Kutta fourth-order method with shooting technique. Moreover, the effect of the resulting physical parameters on the distributions of velocity, temperature, and concentration of nanoparticles has been studied by using graphical forms with an interest in providing physical meanings to each parameter. Finally, special diagrams were made to explain the study of the effect of some physical parameters on the skin friction coefficient and the local Nusselt number; these results led to reinforcement in the values of the skin friction coefficient for the increased values of the magnetic field and the Darcy number while the effect on the local Nusselt number by thermal radiation as well as the heat generation/absorption coefficients became negative. |
| format | Article |
| id | doaj-art-1bc07a60c6cd488e995b3d052483208f |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-1bc07a60c6cd488e995b3d052483208f2025-02-03T01:24:59ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/99509939950993MHD Williamson Nanofluid Flow over a Stretching Sheet through a Porous Medium under Effects of Joule Heating, Nonlinear Thermal Radiation, Heat Generation/Absorption, and Chemical ReactionJ. Bouslimi0M. Omri1R. A. Mohamed2K. H. Mahmoud3S. M. Abo-Dahab4M. S. Soliman5Department of Physics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi ArabiaDeanship of Scientific Research, King Abdulaziz University, Jeddah, Saudi ArabiaMathematics Department, Faculty of Science, South Valley University, Qena 83523, EgyptDepartment of Physics, College of Khurma University College, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaMathematics Department, Faculty of Science, South Valley University, Qena 83523, EgyptMathematics Department, Faculty of Science, South Valley University, Qena 83523, EgyptIn this article, the effect of electromagnetic force with the effect of thermal radiation on the Williamson nanofluid on a stretching surface through a porous medium was studied considering the effect of both heat generation/absorption and Joule heating. On the other hand, the effect of Brownian motion and thermophoresis coefficients was considered. The system of nonlinear partial differential equations governing the study of fluid flow has transformed into a system of ordinary differential equations using similarity transformations and nondimensional variables which were subsequently solved numerically by using the Rung-Kutta fourth-order method with shooting technique. Moreover, the effect of the resulting physical parameters on the distributions of velocity, temperature, and concentration of nanoparticles has been studied by using graphical forms with an interest in providing physical meanings to each parameter. Finally, special diagrams were made to explain the study of the effect of some physical parameters on the skin friction coefficient and the local Nusselt number; these results led to reinforcement in the values of the skin friction coefficient for the increased values of the magnetic field and the Darcy number while the effect on the local Nusselt number by thermal radiation as well as the heat generation/absorption coefficients became negative.http://dx.doi.org/10.1155/2021/9950993 |
| spellingShingle | J. Bouslimi M. Omri R. A. Mohamed K. H. Mahmoud S. M. Abo-Dahab M. S. Soliman MHD Williamson Nanofluid Flow over a Stretching Sheet through a Porous Medium under Effects of Joule Heating, Nonlinear Thermal Radiation, Heat Generation/Absorption, and Chemical Reaction Advances in Mathematical Physics |
| title | MHD Williamson Nanofluid Flow over a Stretching Sheet through a Porous Medium under Effects of Joule Heating, Nonlinear Thermal Radiation, Heat Generation/Absorption, and Chemical Reaction |
| title_full | MHD Williamson Nanofluid Flow over a Stretching Sheet through a Porous Medium under Effects of Joule Heating, Nonlinear Thermal Radiation, Heat Generation/Absorption, and Chemical Reaction |
| title_fullStr | MHD Williamson Nanofluid Flow over a Stretching Sheet through a Porous Medium under Effects of Joule Heating, Nonlinear Thermal Radiation, Heat Generation/Absorption, and Chemical Reaction |
| title_full_unstemmed | MHD Williamson Nanofluid Flow over a Stretching Sheet through a Porous Medium under Effects of Joule Heating, Nonlinear Thermal Radiation, Heat Generation/Absorption, and Chemical Reaction |
| title_short | MHD Williamson Nanofluid Flow over a Stretching Sheet through a Porous Medium under Effects of Joule Heating, Nonlinear Thermal Radiation, Heat Generation/Absorption, and Chemical Reaction |
| title_sort | mhd williamson nanofluid flow over a stretching sheet through a porous medium under effects of joule heating nonlinear thermal radiation heat generation absorption and chemical reaction |
| url | http://dx.doi.org/10.1155/2021/9950993 |
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