Computation of non-Newtonian quadratic convection in electro-magneto-hydrodynamic (EMHD) duct flow with temperature-dependent viscosity
Motivated by novel developments in smart non-Newtonian thermal duct systems, a theoretical study has been presented in this article for electro-magneto-hydrodynamic (EMHD) buoyancy-driven flow of a fourth-grade viscoelastic fluid in a vertical duct with quadratic convection. The viscosity of the fou...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2023-12-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/16878132231210360 |
| _version_ | 1797404231487979520 |
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| author | Lijun Zhang Muhammad Mubashir Bhatti Osman Anwar Bég Rahmat Ellahi Hakan F Öztop |
| author_facet | Lijun Zhang Muhammad Mubashir Bhatti Osman Anwar Bég Rahmat Ellahi Hakan F Öztop |
| author_sort | Lijun Zhang |
| collection | DOAJ |
| description | Motivated by novel developments in smart non-Newtonian thermal duct systems, a theoretical study has been presented in this article for electro-magneto-hydrodynamic (EMHD) buoyancy-driven flow of a fourth-grade viscoelastic fluid in a vertical duct with quadratic convection. The viscosity of the fourth-grade fluid model is assumed to be temperature-dependent, and the Reynolds exponential model is deployed. Viscous heating and Joule dissipation effects are included. The duct comprises a pair of parallel electrically insulated vertical flat plates located a finite distance apart. Via suitable scaling transformations, a nonlinear boundary value problem is derived for the momentum and heat transport. A homotopy perturbation method (HPM) solution is obtained coded in Mathematica symbolic software. There is a considerable enhancement in wall skin friction with an increment in fourth-grade fluid parameter, Brinkman number, electrical field parameter, thermal buoyancy parameter, and quadratic thermal convection parameter. However, skin friction is strongly reduced with a rise in variable viscosity parameter, Hartmann (magnetic) number, and electromagnetic heat generation to conduction ratio. Nusselt number magnitudes are elevated with increase in variable viscosity parameter, thermal buoyancy parameter, and quadratic thermal convection parameter, whereas they are significantly suppressed with increment in fourth-grade fluid parameter, Brinkman number, and Hartmann magnetic number. |
| first_indexed | 2024-03-09T02:51:57Z |
| format | Article |
| id | doaj.art-285a6476686745729070d3116bd70678 |
| institution | Directory Open Access Journal |
| issn | 1687-8140 |
| language | English |
| last_indexed | 2024-03-09T02:51:57Z |
| publishDate | 2023-12-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-285a6476686745729070d3116bd706782023-12-05T09:33:18ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402023-12-011510.1177/16878132231210360Computation of non-Newtonian quadratic convection in electro-magneto-hydrodynamic (EMHD) duct flow with temperature-dependent viscosityLijun Zhang0Muhammad Mubashir Bhatti1Osman Anwar Bég2Rahmat Ellahi3Hakan F Öztop4Material Science Innovation and Modelling (MaSIM) Research Focus Area, North-West University, (Mafikeng Campus), Mmabatho, South AfricaMaterial Science Innovation and Modelling (MaSIM) Research Focus Area, North-West University, (Mafikeng Campus), Mmabatho, South AfricaMulti-Physical Engineering Sciences Group, Mechanical Engineering Department, Corrosion/Coatings Lab, University of Salford, Manchester, UKCenter for Modeling & Computer Simulation, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran, Saudi ArabiaDepartment of Mechanical Engineering, Technology Faculty, Firat University, Elazig, TurkeyMotivated by novel developments in smart non-Newtonian thermal duct systems, a theoretical study has been presented in this article for electro-magneto-hydrodynamic (EMHD) buoyancy-driven flow of a fourth-grade viscoelastic fluid in a vertical duct with quadratic convection. The viscosity of the fourth-grade fluid model is assumed to be temperature-dependent, and the Reynolds exponential model is deployed. Viscous heating and Joule dissipation effects are included. The duct comprises a pair of parallel electrically insulated vertical flat plates located a finite distance apart. Via suitable scaling transformations, a nonlinear boundary value problem is derived for the momentum and heat transport. A homotopy perturbation method (HPM) solution is obtained coded in Mathematica symbolic software. There is a considerable enhancement in wall skin friction with an increment in fourth-grade fluid parameter, Brinkman number, electrical field parameter, thermal buoyancy parameter, and quadratic thermal convection parameter. However, skin friction is strongly reduced with a rise in variable viscosity parameter, Hartmann (magnetic) number, and electromagnetic heat generation to conduction ratio. Nusselt number magnitudes are elevated with increase in variable viscosity parameter, thermal buoyancy parameter, and quadratic thermal convection parameter, whereas they are significantly suppressed with increment in fourth-grade fluid parameter, Brinkman number, and Hartmann magnetic number.https://doi.org/10.1177/16878132231210360 |
| spellingShingle | Lijun Zhang Muhammad Mubashir Bhatti Osman Anwar Bég Rahmat Ellahi Hakan F Öztop Computation of non-Newtonian quadratic convection in electro-magneto-hydrodynamic (EMHD) duct flow with temperature-dependent viscosity Advances in Mechanical Engineering |
| title | Computation of non-Newtonian quadratic convection in electro-magneto-hydrodynamic (EMHD) duct flow with temperature-dependent viscosity |
| title_full | Computation of non-Newtonian quadratic convection in electro-magneto-hydrodynamic (EMHD) duct flow with temperature-dependent viscosity |
| title_fullStr | Computation of non-Newtonian quadratic convection in electro-magneto-hydrodynamic (EMHD) duct flow with temperature-dependent viscosity |
| title_full_unstemmed | Computation of non-Newtonian quadratic convection in electro-magneto-hydrodynamic (EMHD) duct flow with temperature-dependent viscosity |
| title_short | Computation of non-Newtonian quadratic convection in electro-magneto-hydrodynamic (EMHD) duct flow with temperature-dependent viscosity |
| title_sort | computation of non newtonian quadratic convection in electro magneto hydrodynamic emhd duct flow with temperature dependent viscosity |
| url | https://doi.org/10.1177/16878132231210360 |
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