Thermal Analysis of a Casson Boundary Layer Flow over a Penetrable Stretching Porous Wedge
This work aims to analyze the Casson thermal boundary layer flow over an expanding wedge in a porous medium with convective boundary conditions and ohmic heating. Moreover, the effects of porosity and viscous dissipation are studied in detail and included in the analysis. The importance of this stud...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/1666959 |
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| author | Dur-e-Shehwar Sagheer Mohammad Alqudah Nawal A. Alshehri M. Sabeel Khan M. Asif Memon R. Shehzad Amsalu Fenta |
| author_facet | Dur-e-Shehwar Sagheer Mohammad Alqudah Nawal A. Alshehri M. Sabeel Khan M. Asif Memon R. Shehzad Amsalu Fenta |
| author_sort | Dur-e-Shehwar Sagheer |
| collection | DOAJ |
| description | This work aims to analyze the Casson thermal boundary layer flow over an expanding wedge in a porous medium with convective boundary conditions and ohmic heating. Moreover, the effects of porosity and viscous dissipation are studied in detail and included in the analysis. The importance of this study is due to its applications in biomedical engineering where the analysis of behavior of non-Newtonian blood flow in arteries and veins is desired. Within the context of blood flow, it is also applicable to many other fields, for instance, radiative therapy, MHD generators, soil machines, melt-spinning, and insulation processes. The modeled problem is a set of PDEs, which is nondimensionalized to derive a nonlinear boundary value problem (BVP). The obtained BVP is solved using the shooting technique, endowed with the order four Runge-Kutta and Newton methods. The impact of different parameters on the momentum and temperature fields is investigated along with two important parameters of physical significance, i.e., the Nusselt number and the surface drag force. Results are validated, and an excellent agreement is seen for the parameters of interest using MATLAB built-in function bvp4c. A significant finding is that by increasing the Casson liquid parameter, the velocity decreases as the wedge expands quicker than the free stream velocity at R=2. However, the velocity increases for the case when R=0.1. A decrease in the Darcy number increases the temperature profile. Furthermore, the convective parameter accelerated the heat transmission rate, and a rise in the Prandtl number thickens the thermal boundary layer. The findings of this investigation contribute to problems in fluid dynamics and heat transfer that involve studying the behavior of a non-Newtonian fluid with Casson rheological properties near a solid porous wedge surface. |
| format | Article |
| id | doaj-art-74f99429b9a142afb72224eebfeb7b46 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-74f99429b9a142afb72224eebfeb7b462025-02-03T01:29:26ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/1666959Thermal Analysis of a Casson Boundary Layer Flow over a Penetrable Stretching Porous WedgeDur-e-Shehwar Sagheer0Mohammad Alqudah1Nawal A. Alshehri2M. Sabeel Khan3M. Asif Memon4R. Shehzad5Amsalu Fenta6Department of MathematicsDepartment of Basic SciencesDepartment of Mathematics and StatisticsDepartment of MathematicsDepartment of Mathematics and Social SciencesDepartment of MathematicsDepartment of PhysicsThis work aims to analyze the Casson thermal boundary layer flow over an expanding wedge in a porous medium with convective boundary conditions and ohmic heating. Moreover, the effects of porosity and viscous dissipation are studied in detail and included in the analysis. The importance of this study is due to its applications in biomedical engineering where the analysis of behavior of non-Newtonian blood flow in arteries and veins is desired. Within the context of blood flow, it is also applicable to many other fields, for instance, radiative therapy, MHD generators, soil machines, melt-spinning, and insulation processes. The modeled problem is a set of PDEs, which is nondimensionalized to derive a nonlinear boundary value problem (BVP). The obtained BVP is solved using the shooting technique, endowed with the order four Runge-Kutta and Newton methods. The impact of different parameters on the momentum and temperature fields is investigated along with two important parameters of physical significance, i.e., the Nusselt number and the surface drag force. Results are validated, and an excellent agreement is seen for the parameters of interest using MATLAB built-in function bvp4c. A significant finding is that by increasing the Casson liquid parameter, the velocity decreases as the wedge expands quicker than the free stream velocity at R=2. However, the velocity increases for the case when R=0.1. A decrease in the Darcy number increases the temperature profile. Furthermore, the convective parameter accelerated the heat transmission rate, and a rise in the Prandtl number thickens the thermal boundary layer. The findings of this investigation contribute to problems in fluid dynamics and heat transfer that involve studying the behavior of a non-Newtonian fluid with Casson rheological properties near a solid porous wedge surface.http://dx.doi.org/10.1155/2024/1666959 |
| spellingShingle | Dur-e-Shehwar Sagheer Mohammad Alqudah Nawal A. Alshehri M. Sabeel Khan M. Asif Memon R. Shehzad Amsalu Fenta Thermal Analysis of a Casson Boundary Layer Flow over a Penetrable Stretching Porous Wedge Journal of Mathematics |
| title | Thermal Analysis of a Casson Boundary Layer Flow over a Penetrable Stretching Porous Wedge |
| title_full | Thermal Analysis of a Casson Boundary Layer Flow over a Penetrable Stretching Porous Wedge |
| title_fullStr | Thermal Analysis of a Casson Boundary Layer Flow over a Penetrable Stretching Porous Wedge |
| title_full_unstemmed | Thermal Analysis of a Casson Boundary Layer Flow over a Penetrable Stretching Porous Wedge |
| title_short | Thermal Analysis of a Casson Boundary Layer Flow over a Penetrable Stretching Porous Wedge |
| title_sort | thermal analysis of a casson boundary layer flow over a penetrable stretching porous wedge |
| url | http://dx.doi.org/10.1155/2024/1666959 |
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