Comparative Analysis of a Cone, Wedge, and Plate Packed with Microbes in Non-Fourier Heat Flux
In this study, we investigated a radiative chemically reactive Casson fluid above a cone, plate, and wedge with gyrotactic microorganisms subjected to the Cattaneo–Christov heat flux model. Newton’s method and the Runge–Kutta methods were employed to solve the physical problem, and a graphical repre...
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MDPI AG
2022-09-01
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| Series: | Mathematics |
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| author | Halavudara Basavarajappa Santhosh Mamatha Sadananda Upadhya N. Ameer Ahammad Chakravarthula Siva Krishnam Raju Nehad Ali Shah Wajaree Weera |
| author_facet | Halavudara Basavarajappa Santhosh Mamatha Sadananda Upadhya N. Ameer Ahammad Chakravarthula Siva Krishnam Raju Nehad Ali Shah Wajaree Weera |
| author_sort | Halavudara Basavarajappa Santhosh |
| collection | DOAJ |
| description | In this study, we investigated a radiative chemically reactive Casson fluid above a cone, plate, and wedge with gyrotactic microorganisms subjected to the Cattaneo–Christov heat flux model. Newton’s method and the Runge–Kutta methods were employed to solve the physical problem, and a graphical representation of the numerous impacts of non-dimensional parameters on temperature, velocity, and concentration was created. In addition, we also compared recently published solutions with our current solution, which showed good agreement. From this investigation, we concluded that the motile organisms’ momentum, temperature, and concentration density were non-uniform in nature. Here, for engineering importance, we also present the mass transfer and thermal transfer rate over the cone, wedge, and plate cases in a tabular form. We concluded that the mass and heat transfer rate was larger over the cone when compared to the same case over a plate or wedge. The results also highlighted that the local Nusselt and Sherwood numbers and the mass density of the microorganisms depreciated as the Casson fluid parameter decreased. In summary, we concluded that the gyrotactic microorganisms played a role in enhancing the local Sherwood number. |
| first_indexed | 2024-03-09T21:28:51Z |
| format | Article |
| id | doaj.art-b8206beee26a47c0893c97126a58a68d |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T21:28:51Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-b8206beee26a47c0893c97126a58a68d2023-11-23T21:02:44ZengMDPI AGMathematics2227-73902022-09-011019350810.3390/math10193508Comparative Analysis of a Cone, Wedge, and Plate Packed with Microbes in Non-Fourier Heat FluxHalavudara Basavarajappa Santhosh0Mamatha Sadananda Upadhya1N. Ameer Ahammad2Chakravarthula Siva Krishnam Raju3Nehad Ali Shah4Wajaree Weera5Department of Mathematics, The National Institute of Engineering, Mysuru 57008, Karnataka, IndiaDepartment of Mathematics, Kristu Jayanti College, Bengaluru 560043, Karnataka, IndiaDepartment of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, GITAM School of Science, GITAM University, Bangalore 562163, Karnataka, IndiaDepartment of Mechanical Engineering, Sejong University, Seoul 05006, KoreaDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandIn this study, we investigated a radiative chemically reactive Casson fluid above a cone, plate, and wedge with gyrotactic microorganisms subjected to the Cattaneo–Christov heat flux model. Newton’s method and the Runge–Kutta methods were employed to solve the physical problem, and a graphical representation of the numerous impacts of non-dimensional parameters on temperature, velocity, and concentration was created. In addition, we also compared recently published solutions with our current solution, which showed good agreement. From this investigation, we concluded that the motile organisms’ momentum, temperature, and concentration density were non-uniform in nature. Here, for engineering importance, we also present the mass transfer and thermal transfer rate over the cone, wedge, and plate cases in a tabular form. We concluded that the mass and heat transfer rate was larger over the cone when compared to the same case over a plate or wedge. The results also highlighted that the local Nusselt and Sherwood numbers and the mass density of the microorganisms depreciated as the Casson fluid parameter decreased. In summary, we concluded that the gyrotactic microorganisms played a role in enhancing the local Sherwood number.https://www.mdpi.com/2227-7390/10/19/3508MHDmixed convectionCasson fluidCattaneo–Christov heat flux modelmicroorganismscone or plate or wedge |
| spellingShingle | Halavudara Basavarajappa Santhosh Mamatha Sadananda Upadhya N. Ameer Ahammad Chakravarthula Siva Krishnam Raju Nehad Ali Shah Wajaree Weera Comparative Analysis of a Cone, Wedge, and Plate Packed with Microbes in Non-Fourier Heat Flux Mathematics MHD mixed convection Casson fluid Cattaneo–Christov heat flux model microorganisms cone or plate or wedge |
| title | Comparative Analysis of a Cone, Wedge, and Plate Packed with Microbes in Non-Fourier Heat Flux |
| title_full | Comparative Analysis of a Cone, Wedge, and Plate Packed with Microbes in Non-Fourier Heat Flux |
| title_fullStr | Comparative Analysis of a Cone, Wedge, and Plate Packed with Microbes in Non-Fourier Heat Flux |
| title_full_unstemmed | Comparative Analysis of a Cone, Wedge, and Plate Packed with Microbes in Non-Fourier Heat Flux |
| title_short | Comparative Analysis of a Cone, Wedge, and Plate Packed with Microbes in Non-Fourier Heat Flux |
| title_sort | comparative analysis of a cone wedge and plate packed with microbes in non fourier heat flux |
| topic | MHD mixed convection Casson fluid Cattaneo–Christov heat flux model microorganisms cone or plate or wedge |
| url | https://www.mdpi.com/2227-7390/10/19/3508 |
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