Thermal features and heat transfer enhancement of a Casson fluid across a porous stretching/shrinking sheet: Analysis of dual solutions
This article explores an unsteady radiative two-dimentional stagnation point flow of a Casson fluid along a stretching and shrinking sheet which is depending on the mixed convection, convective condition, and the slip condition. Additionally, the effect of heat generation and Joule heating is deemed...
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| Format: | Article |
| Language: | English |
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Elsevier
2021-12-01
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| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X21007577 |
| _version_ | 1819102084290576384 |
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| author | M. Riaz Khan Mohamed Abdelghany Elkotb R.T. Matoog Nawal A. Alshehri Mostafa A.H. Abdelmohimen |
| author_facet | M. Riaz Khan Mohamed Abdelghany Elkotb R.T. Matoog Nawal A. Alshehri Mostafa A.H. Abdelmohimen |
| author_sort | M. Riaz Khan |
| collection | DOAJ |
| description | This article explores an unsteady radiative two-dimentional stagnation point flow of a Casson fluid along a stretching and shrinking sheet which is depending on the mixed convection, convective condition, and the slip condition. Additionally, the effect of heat generation and Joule heating is deemed. This study formulates the nonlinear Partial Differential Equations (PDEs), that are initially transformed into the non-dimensional Ordinary Differential Equations (ODEs) based on the dimensionless variables. The bvp4c function in MATLAB has been employed to find the dual solutions for the dimensionless ODEs. These solutions have been determined with regards to the fluid velocity, skin friction coefficient, temperature, and the local Nusselt number which have been found under the influence of the related fluid parameters. It has been found that the friction drags respectively enhances and declines in the stable and unstable flows caused by rising values of Casson parameter, mixed convection, and slip parameter. The heat transfer rate respectively improves with the improvement of radiation, Biot number and Prandtl number although it declines with the improvement of heat generation parameter. According to our deep knowledge, the outcomes of the existing effort are innovative and had not been previously evaluated by someone. Our work can produce a paradigm considering forthcoming analyses of non-Newtonian fluids. |
| first_indexed | 2024-12-22T01:28:56Z |
| format | Article |
| id | doaj.art-33b53db7cfde4bb28aca3847fbd71c2b |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-12-22T01:28:56Z |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-33b53db7cfde4bb28aca3847fbd71c2b2022-12-21T18:43:33ZengElsevierCase Studies in Thermal Engineering2214-157X2021-12-0128101594Thermal features and heat transfer enhancement of a Casson fluid across a porous stretching/shrinking sheet: Analysis of dual solutionsM. Riaz Khan0Mohamed Abdelghany Elkotb1R.T. Matoog2Nawal A. Alshehri3Mostafa A.H. Abdelmohimen4LSEC and ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, School of Mathematical Science, University of Chinese Academy of Sciences, Beijing, 100190, P. R. China; Corresponding author.Mechanical Engineering Department, College of Engineering, King Khalid University, Abha, Saudi Arabia; Mechanical Engineering Dept., Faculty of Engineering, Kafrelsheikh University, EgyptDepartment of Mathematics, Faculty of Applied Sciences, Umm Al-Qura University, Makkah, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi ArabiaMechanical Engineering Department, College of Engineering, King Khalid University, Abha, Saudi Arabia; Shoubra Faculty of Engineering, Benha University, EgyptThis article explores an unsteady radiative two-dimentional stagnation point flow of a Casson fluid along a stretching and shrinking sheet which is depending on the mixed convection, convective condition, and the slip condition. Additionally, the effect of heat generation and Joule heating is deemed. This study formulates the nonlinear Partial Differential Equations (PDEs), that are initially transformed into the non-dimensional Ordinary Differential Equations (ODEs) based on the dimensionless variables. The bvp4c function in MATLAB has been employed to find the dual solutions for the dimensionless ODEs. These solutions have been determined with regards to the fluid velocity, skin friction coefficient, temperature, and the local Nusselt number which have been found under the influence of the related fluid parameters. It has been found that the friction drags respectively enhances and declines in the stable and unstable flows caused by rising values of Casson parameter, mixed convection, and slip parameter. The heat transfer rate respectively improves with the improvement of radiation, Biot number and Prandtl number although it declines with the improvement of heat generation parameter. According to our deep knowledge, the outcomes of the existing effort are innovative and had not been previously evaluated by someone. Our work can produce a paradigm considering forthcoming analyses of non-Newtonian fluids.http://www.sciencedirect.com/science/article/pii/S2214157X21007577Casson fluidHeat sourceStretching/Shrinking sheetThermal radiationMHDConvective condition |
| spellingShingle | M. Riaz Khan Mohamed Abdelghany Elkotb R.T. Matoog Nawal A. Alshehri Mostafa A.H. Abdelmohimen Thermal features and heat transfer enhancement of a Casson fluid across a porous stretching/shrinking sheet: Analysis of dual solutions Case Studies in Thermal Engineering Casson fluid Heat source Stretching/Shrinking sheet Thermal radiation MHD Convective condition |
| title | Thermal features and heat transfer enhancement of a Casson fluid across a porous stretching/shrinking sheet: Analysis of dual solutions |
| title_full | Thermal features and heat transfer enhancement of a Casson fluid across a porous stretching/shrinking sheet: Analysis of dual solutions |
| title_fullStr | Thermal features and heat transfer enhancement of a Casson fluid across a porous stretching/shrinking sheet: Analysis of dual solutions |
| title_full_unstemmed | Thermal features and heat transfer enhancement of a Casson fluid across a porous stretching/shrinking sheet: Analysis of dual solutions |
| title_short | Thermal features and heat transfer enhancement of a Casson fluid across a porous stretching/shrinking sheet: Analysis of dual solutions |
| title_sort | thermal features and heat transfer enhancement of a casson fluid across a porous stretching shrinking sheet analysis of dual solutions |
| topic | Casson fluid Heat source Stretching/Shrinking sheet Thermal radiation MHD Convective condition |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X21007577 |
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