Analysis of heat and mass transfer rates in conducting Casson fluid flow over an expanding surface considering Ohmic heating and Darcy dissipation effects
In a recent scenario, the flow of Casson fluid via porous media has practical applications in various engineering processes, such, as the design of cooling systems for electronic devices, oil recovery in porous reservoirs, and polymer extrusion processes, etc. The proposed investigation illustrates...
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Elsevier
2024-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124003589 |
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| author | Rupa Baithalu S.R. Mishra P.K. Pattnaik Subhajit Panda |
| author_facet | Rupa Baithalu S.R. Mishra P.K. Pattnaik Subhajit Panda |
| author_sort | Rupa Baithalu |
| collection | DOAJ |
| description | In a recent scenario, the flow of Casson fluid via porous media has practical applications in various engineering processes, such, as the design of cooling systems for electronic devices, oil recovery in porous reservoirs, and polymer extrusion processes, etc. The proposed investigation illustrates the thermal and solutal transfer rates in a conducting Casson fluid flow over an expanding surface. However, the emphasis goes to the behavior of the Ohmic heating and Darcy dissipation when considering the transverse magnetic field and porous matrix. The governing flow phenomena with their dimensional form are altered into a non-dimensional set of equations with the help of suitable similarity rules. Further, an adequate numerical simulation is adopted to solve the transformed equations using the in-house bvp4c function in MATLAB. The physical parameters involved in the flow problem and their behavior on the governing flow phenomena are presented graphically and described briefly. Prior to this investigation, the conformity of the current numerical output obtained for the heat transfer rate was validated with the earlier work with a good correlation. Moreover, the major outcomes are; the non-Newtonian Casson parameter retards the axial and transverse velocity profile and the shear rate also decreases significantly. The Eckert number caused by the inclusion of the dissipative heat encourages the fluid temperature throughout. |
| format | Article |
| id | doaj-art-fb57afc2931f4b18802c09fce8beb4b5 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-fb57afc2931f4b18802c09fce8beb4b52024-12-13T11:05:48ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-12-0112100972Analysis of heat and mass transfer rates in conducting Casson fluid flow over an expanding surface considering Ohmic heating and Darcy dissipation effectsRupa Baithalu0S.R. Mishra1P.K. Pattnaik2Subhajit Panda3Department of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha 751030, IndiaDepartment of Mathematics, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha 751030, India; Corresponding author.Department of Mathematics, Odisha University of Technology and Research, Bhubaneswar, Odisha 751029, IndiaCentre for Data Science, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha 751030, IndiaIn a recent scenario, the flow of Casson fluid via porous media has practical applications in various engineering processes, such, as the design of cooling systems for electronic devices, oil recovery in porous reservoirs, and polymer extrusion processes, etc. The proposed investigation illustrates the thermal and solutal transfer rates in a conducting Casson fluid flow over an expanding surface. However, the emphasis goes to the behavior of the Ohmic heating and Darcy dissipation when considering the transverse magnetic field and porous matrix. The governing flow phenomena with their dimensional form are altered into a non-dimensional set of equations with the help of suitable similarity rules. Further, an adequate numerical simulation is adopted to solve the transformed equations using the in-house bvp4c function in MATLAB. The physical parameters involved in the flow problem and their behavior on the governing flow phenomena are presented graphically and described briefly. Prior to this investigation, the conformity of the current numerical output obtained for the heat transfer rate was validated with the earlier work with a good correlation. Moreover, the major outcomes are; the non-Newtonian Casson parameter retards the axial and transverse velocity profile and the shear rate also decreases significantly. The Eckert number caused by the inclusion of the dissipative heat encourages the fluid temperature throughout.http://www.sciencedirect.com/science/article/pii/S2666818124003589Casson fluidStretching surfacePorous mediumDissipative heatRadiating heatNumerical method |
| spellingShingle | Rupa Baithalu S.R. Mishra P.K. Pattnaik Subhajit Panda Analysis of heat and mass transfer rates in conducting Casson fluid flow over an expanding surface considering Ohmic heating and Darcy dissipation effects Partial Differential Equations in Applied Mathematics Casson fluid Stretching surface Porous medium Dissipative heat Radiating heat Numerical method |
| title | Analysis of heat and mass transfer rates in conducting Casson fluid flow over an expanding surface considering Ohmic heating and Darcy dissipation effects |
| title_full | Analysis of heat and mass transfer rates in conducting Casson fluid flow over an expanding surface considering Ohmic heating and Darcy dissipation effects |
| title_fullStr | Analysis of heat and mass transfer rates in conducting Casson fluid flow over an expanding surface considering Ohmic heating and Darcy dissipation effects |
| title_full_unstemmed | Analysis of heat and mass transfer rates in conducting Casson fluid flow over an expanding surface considering Ohmic heating and Darcy dissipation effects |
| title_short | Analysis of heat and mass transfer rates in conducting Casson fluid flow over an expanding surface considering Ohmic heating and Darcy dissipation effects |
| title_sort | analysis of heat and mass transfer rates in conducting casson fluid flow over an expanding surface considering ohmic heating and darcy dissipation effects |
| topic | Casson fluid Stretching surface Porous medium Dissipative heat Radiating heat Numerical method |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124003589 |
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