A generalized magnetohydrodynamic two-phase free convection flow of dusty Casson fluid between parallel plates
This article aims to investigate the combined effects of the heat transfer and magnetic field on the electrically conducting magnetohydrodynamic two-phase free convective flow of dusty Casson fluid between parallel plates. The flow is caused by buoyancy force with heat transfer due to free convectio...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-01-01
|
| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X21008200 |
| _version_ | 1818360840274837504 |
|---|---|
| author | Gohar Ali Farhad Ali Arshad Khan Abdul Hamid Ganie Ilyas Khan |
| author_facet | Gohar Ali Farhad Ali Arshad Khan Abdul Hamid Ganie Ilyas Khan |
| author_sort | Gohar Ali |
| collection | DOAJ |
| description | This article aims to investigate the combined effects of the heat transfer and magnetic field on the electrically conducting magnetohydrodynamic two-phase free convective flow of dusty Casson fluid between parallel plates. The flow is caused by buoyancy force with heat transfer due to free convection. Moreover, the left plate moves at uniform velocity while the right plate is stationary, and all dust particles with spherical forms are scattered evenly throughout the fluid. Mathematically, the flow is described as partial differential equations. A newly introduced fractional derivative, namely Caputo-Fabrizio fractional derivative, is used to generalize the given derived system of PDEs. The problem is solved using joint applications of finite sine Fourier and Laplace transforms. Exact solutions of velocity and temperature profile are obtained. Moreover, the impact of different parameters like a magnetic parameter, Grashof number, Dusty fluid parameter, Casson parameter, Peclet number, Reynold number, and particle's mass parameter on temperature, and dust particle and Casson fluid velocity have been discussed. The graphical results for Casson fluid, dusty fluid, and temperature profiles are plotted through Mathcad-15. The behavior of Casson fluid and dusty fluid is matching for different embedded parameters. Moreover, the Nusselt number and skin friction are also determined. It is shown in Table 1 that by increasing the value of the peclet number, the rate of heat transfer decreases. Furthermore, Table 2 shows that by increasing the magnetic parameter, the skin friction decreases. Graphical results conclude that fractional Casson fluid model described a more realistic aspect of the both (Fliud and dust particle) velocities profile, temperature profile, rate of heat transfer and skin friction than the classical Casson fluid model. |
| first_indexed | 2024-12-13T21:07:11Z |
| format | Article |
| id | doaj.art-b21213e5c656444d82eaca6690e51ac7 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-12-13T21:07:11Z |
| publishDate | 2022-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-b21213e5c656444d82eaca6690e51ac72022-12-21T23:31:27ZengElsevierCase Studies in Thermal Engineering2214-157X2022-01-0129101657A generalized magnetohydrodynamic two-phase free convection flow of dusty Casson fluid between parallel platesGohar Ali0Farhad Ali1Arshad Khan2Abdul Hamid Ganie3Ilyas Khan4Department of Mathematics, City University of Science and Information Technology, Peshawar, 25000, PakistanDepartment of Mathematics, City University of Science and Information Technology, Peshawar, 25000, Pakistan; Corresponding author.Institute of Computer Sciences and Information Technology, The University of Agriculture, Peshawar, PakistanBasic Sciences Department, College of Science and Theoretical Studies, Saudi Electronic University-Abha Male-61421, Saudi Arabia; Corresponding author.Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, 11952, Saudi ArabiaThis article aims to investigate the combined effects of the heat transfer and magnetic field on the electrically conducting magnetohydrodynamic two-phase free convective flow of dusty Casson fluid between parallel plates. The flow is caused by buoyancy force with heat transfer due to free convection. Moreover, the left plate moves at uniform velocity while the right plate is stationary, and all dust particles with spherical forms are scattered evenly throughout the fluid. Mathematically, the flow is described as partial differential equations. A newly introduced fractional derivative, namely Caputo-Fabrizio fractional derivative, is used to generalize the given derived system of PDEs. The problem is solved using joint applications of finite sine Fourier and Laplace transforms. Exact solutions of velocity and temperature profile are obtained. Moreover, the impact of different parameters like a magnetic parameter, Grashof number, Dusty fluid parameter, Casson parameter, Peclet number, Reynold number, and particle's mass parameter on temperature, and dust particle and Casson fluid velocity have been discussed. The graphical results for Casson fluid, dusty fluid, and temperature profiles are plotted through Mathcad-15. The behavior of Casson fluid and dusty fluid is matching for different embedded parameters. Moreover, the Nusselt number and skin friction are also determined. It is shown in Table 1 that by increasing the value of the peclet number, the rate of heat transfer decreases. Furthermore, Table 2 shows that by increasing the magnetic parameter, the skin friction decreases. Graphical results conclude that fractional Casson fluid model described a more realistic aspect of the both (Fliud and dust particle) velocities profile, temperature profile, rate of heat transfer and skin friction than the classical Casson fluid model.http://www.sciencedirect.com/science/article/pii/S2214157X21008200Casson fluidFinite sine fourier transform (FSFT)Two-phase flowDusty fluidMHDCaputo-fabrizo (C–F) fractional derivative |
| spellingShingle | Gohar Ali Farhad Ali Arshad Khan Abdul Hamid Ganie Ilyas Khan A generalized magnetohydrodynamic two-phase free convection flow of dusty Casson fluid between parallel plates Case Studies in Thermal Engineering Casson fluid Finite sine fourier transform (FSFT) Two-phase flow Dusty fluid MHD Caputo-fabrizo (C–F) fractional derivative |
| title | A generalized magnetohydrodynamic two-phase free convection flow of dusty Casson fluid between parallel plates |
| title_full | A generalized magnetohydrodynamic two-phase free convection flow of dusty Casson fluid between parallel plates |
| title_fullStr | A generalized magnetohydrodynamic two-phase free convection flow of dusty Casson fluid between parallel plates |
| title_full_unstemmed | A generalized magnetohydrodynamic two-phase free convection flow of dusty Casson fluid between parallel plates |
| title_short | A generalized magnetohydrodynamic two-phase free convection flow of dusty Casson fluid between parallel plates |
| title_sort | generalized magnetohydrodynamic two phase free convection flow of dusty casson fluid between parallel plates |
| topic | Casson fluid Finite sine fourier transform (FSFT) Two-phase flow Dusty fluid MHD Caputo-fabrizo (C–F) fractional derivative |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X21008200 |
| work_keys_str_mv | AT goharali ageneralizedmagnetohydrodynamictwophasefreeconvectionflowofdustycassonfluidbetweenparallelplates AT farhadali ageneralizedmagnetohydrodynamictwophasefreeconvectionflowofdustycassonfluidbetweenparallelplates AT arshadkhan ageneralizedmagnetohydrodynamictwophasefreeconvectionflowofdustycassonfluidbetweenparallelplates AT abdulhamidganie ageneralizedmagnetohydrodynamictwophasefreeconvectionflowofdustycassonfluidbetweenparallelplates AT ilyaskhan ageneralizedmagnetohydrodynamictwophasefreeconvectionflowofdustycassonfluidbetweenparallelplates AT goharali generalizedmagnetohydrodynamictwophasefreeconvectionflowofdustycassonfluidbetweenparallelplates AT farhadali generalizedmagnetohydrodynamictwophasefreeconvectionflowofdustycassonfluidbetweenparallelplates AT arshadkhan generalizedmagnetohydrodynamictwophasefreeconvectionflowofdustycassonfluidbetweenparallelplates AT abdulhamidganie generalizedmagnetohydrodynamictwophasefreeconvectionflowofdustycassonfluidbetweenparallelplates AT ilyaskhan generalizedmagnetohydrodynamictwophasefreeconvectionflowofdustycassonfluidbetweenparallelplates |