Effects of thermal boundary conditions on Stokes' second problem
In this investigation, an infinite flat plate is employed to examine the flow behavior of Casson fluid and the associated heat transfer phenomena. The plate undergoes an initial acceleration with a constant velocity until it eventually decelerates to rest. The energy equation incorporates the effect...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-05-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379724003450 |
| _version_ | 1797213369558630400 |
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| author | Zafar Hayat Khan W.A. Khan S.M. Ibrahim F. Mabood Zaitang Huang |
| author_facet | Zafar Hayat Khan W.A. Khan S.M. Ibrahim F. Mabood Zaitang Huang |
| author_sort | Zafar Hayat Khan |
| collection | DOAJ |
| description | In this investigation, an infinite flat plate is employed to examine the flow behavior of Casson fluid and the associated heat transfer phenomena. The plate undergoes an initial acceleration with a constant velocity until it eventually decelerates to rest. The energy equation incorporates the effects of viscous dissipation. An appropriate similarity transformation transforms the governing equations into coupled nonlinear ordinary differential equations (ODEs). A closed-form solution for the velocity profile is obtained, while the energy equation is solved using the built-in function NDSOLVE in Mathematica. The study investigates the influence of governing parameters on dimensionless velocity, temperature, skin friction, and local heat transfer rate under two thermal boundary conditions: Newtonian heating and convective boundary conditions. The fluid's thermophysical properties remain constant throughout the study, with the surface temperature of the plate assumed to be fixed at a constant value. A graphical analysis examines the flow behavior and temperature distribution, revealing the impact of non-dimensional parameters. This study reveals that thermal boundary conditions significantly influence heat transfer rates, with Newtonian heating leading to an increase and convective heating causing a decrease. This is attributed to the direct application of heat at the boundary in Newtonian heating, which enhances thermal energy transfer. In contrast, convective heating disperses heat through fluid motion, limiting transfer rates. |
| first_indexed | 2024-04-24T10:57:11Z |
| format | Article |
| id | doaj.art-2847d0a6f335450abbc38f49e78f3e4c |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-24T10:57:11Z |
| publishDate | 2024-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-2847d0a6f335450abbc38f49e78f3e4c2024-04-12T04:45:19ZengElsevierResults in Physics2211-37972024-05-0160107662Effects of thermal boundary conditions on Stokes' second problemZafar Hayat Khan0W.A. Khan1S.M. Ibrahim2F. Mabood3Zaitang Huang4Center for Applied Mathematics of Guangxi, School of Mathematics and Statistics, Nanning Normal University, Nanning 530100, PR ChinaDept. of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, Al Khobar 31952, Kingdom of Saudi ArabiaDepartment of Mathematics, Koneru Lakshmaiah Education Foundation, Green Fields, Vaddeswaram, Andhra Pradesh 522302, IndiaDept. of Information Technology, Fanshawe College London, ON, CanadaCenter for Applied Mathematics of Guangxi, School of Mathematics and Statistics, Nanning Normal University, Nanning 530100, PR China; Corresponding authors.In this investigation, an infinite flat plate is employed to examine the flow behavior of Casson fluid and the associated heat transfer phenomena. The plate undergoes an initial acceleration with a constant velocity until it eventually decelerates to rest. The energy equation incorporates the effects of viscous dissipation. An appropriate similarity transformation transforms the governing equations into coupled nonlinear ordinary differential equations (ODEs). A closed-form solution for the velocity profile is obtained, while the energy equation is solved using the built-in function NDSOLVE in Mathematica. The study investigates the influence of governing parameters on dimensionless velocity, temperature, skin friction, and local heat transfer rate under two thermal boundary conditions: Newtonian heating and convective boundary conditions. The fluid's thermophysical properties remain constant throughout the study, with the surface temperature of the plate assumed to be fixed at a constant value. A graphical analysis examines the flow behavior and temperature distribution, revealing the impact of non-dimensional parameters. This study reveals that thermal boundary conditions significantly influence heat transfer rates, with Newtonian heating leading to an increase and convective heating causing a decrease. This is attributed to the direct application of heat at the boundary in Newtonian heating, which enhances thermal energy transfer. In contrast, convective heating disperses heat through fluid motion, limiting transfer rates.http://www.sciencedirect.com/science/article/pii/S2211379724003450Casson fluidStoke's second problemNewtonian heatingConvective boundarySkin frictionNusselt number |
| spellingShingle | Zafar Hayat Khan W.A. Khan S.M. Ibrahim F. Mabood Zaitang Huang Effects of thermal boundary conditions on Stokes' second problem Results in Physics Casson fluid Stoke's second problem Newtonian heating Convective boundary Skin friction Nusselt number |
| title | Effects of thermal boundary conditions on Stokes' second problem |
| title_full | Effects of thermal boundary conditions on Stokes' second problem |
| title_fullStr | Effects of thermal boundary conditions on Stokes' second problem |
| title_full_unstemmed | Effects of thermal boundary conditions on Stokes' second problem |
| title_short | Effects of thermal boundary conditions on Stokes' second problem |
| title_sort | effects of thermal boundary conditions on stokes second problem |
| topic | Casson fluid Stoke's second problem Newtonian heating Convective boundary Skin friction Nusselt number |
| url | http://www.sciencedirect.com/science/article/pii/S2211379724003450 |
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