Effect of Magnetohydrodynamics on Heat Transfer Behaviour of a Non-Newtonian Fluid Flow over a Stretching Sheet under Local Thermal Non-Equilibrium Condition
A mathematical model is proposed to describe the flow, heat, and mass transfer behaviour of a non-Newtonian (Jeffrey and Oldroyd-B) fluid over a stretching sheet. Moreover, a similarity solution is given for steady two-dimensional flow subjected to Buongiorno’s theory to investigate the nature of ma...
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MDPI AG
2021-07-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/6/8/264 |
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| author | Konduru Sarada Ramanahalli J. Punith Gowda Ioannis E. Sarris Rangaswamy Naveen Kumar Ballajja C. Prasannakumara |
| author_facet | Konduru Sarada Ramanahalli J. Punith Gowda Ioannis E. Sarris Rangaswamy Naveen Kumar Ballajja C. Prasannakumara |
| author_sort | Konduru Sarada |
| collection | DOAJ |
| description | A mathematical model is proposed to describe the flow, heat, and mass transfer behaviour of a non-Newtonian (Jeffrey and Oldroyd-B) fluid over a stretching sheet. Moreover, a similarity solution is given for steady two-dimensional flow subjected to Buongiorno’s theory to investigate the nature of magnetohydrodynamics (MHD) in a porous medium, utilizing the local thermal non-equilibrium conditions (LTNE). The LTNE model is based on the energy equations and defines distinctive temperature profiles for both solid and fluid phases. Hence, distinctive temperature profiles for both the fluid and solid phases are employed in this study. Numerical solution for the nonlinear ordinary differential equations is obtained by employing fourth fifth order Runge–Kutta–Fehlberg numerical methodology with shooting technique. Results reveal that, the velocity of the Oldroyd-B fluid declines faster and high heat transfer is seen for lower values of magnetic parameter when compared to Jeffry fluid. However, for higher values of magnetic parameter velocity of the Jeffery fluid declines faster and shows high heat transfer when compared to Oldroyd-B fluid. The Jeffery liquid shows a higher fluid phase heat transfer than Oldroyd-B liquid for increasing values of Brownian motion and thermophoresis parameters. The increasing values of thermophoresis parameter decline the liquid and solid phase heat transfer rate of both liquids. |
| first_indexed | 2024-03-10T08:49:55Z |
| format | Article |
| id | doaj.art-92ccc5a71f9043108feebfc27aa78743 |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-10T08:49:55Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-92ccc5a71f9043108feebfc27aa787432023-11-22T07:36:40ZengMDPI AGFluids2311-55212021-07-016826410.3390/fluids6080264Effect of Magnetohydrodynamics on Heat Transfer Behaviour of a Non-Newtonian Fluid Flow over a Stretching Sheet under Local Thermal Non-Equilibrium ConditionKonduru Sarada0Ramanahalli J. Punith Gowda1Ioannis E. Sarris2Rangaswamy Naveen Kumar3Ballajja C. Prasannakumara4Department of Mathematics, Government City College, Nayapul, Hyderabad 500002, IndiaDepartment of Studies and Research in Mathematics, Davangere University, Davangere 577007, Karnataka, IndiaDepartment of Mechanical Engineering, University of West Attica, 12244 Athens, GreeceDepartment of Studies and Research in Mathematics, Davangere University, Davangere 577007, Karnataka, IndiaDepartment of Studies and Research in Mathematics, Davangere University, Davangere 577007, Karnataka, IndiaA mathematical model is proposed to describe the flow, heat, and mass transfer behaviour of a non-Newtonian (Jeffrey and Oldroyd-B) fluid over a stretching sheet. Moreover, a similarity solution is given for steady two-dimensional flow subjected to Buongiorno’s theory to investigate the nature of magnetohydrodynamics (MHD) in a porous medium, utilizing the local thermal non-equilibrium conditions (LTNE). The LTNE model is based on the energy equations and defines distinctive temperature profiles for both solid and fluid phases. Hence, distinctive temperature profiles for both the fluid and solid phases are employed in this study. Numerical solution for the nonlinear ordinary differential equations is obtained by employing fourth fifth order Runge–Kutta–Fehlberg numerical methodology with shooting technique. Results reveal that, the velocity of the Oldroyd-B fluid declines faster and high heat transfer is seen for lower values of magnetic parameter when compared to Jeffry fluid. However, for higher values of magnetic parameter velocity of the Jeffery fluid declines faster and shows high heat transfer when compared to Oldroyd-B fluid. The Jeffery liquid shows a higher fluid phase heat transfer than Oldroyd-B liquid for increasing values of Brownian motion and thermophoresis parameters. The increasing values of thermophoresis parameter decline the liquid and solid phase heat transfer rate of both liquids.https://www.mdpi.com/2311-5521/6/8/264local thermal non-equilibriummagnetohydrodynamics (MHD)porous mediumOldroyd-B fluidJeffrey fluidthermophoresis and Brownian motion |
| spellingShingle | Konduru Sarada Ramanahalli J. Punith Gowda Ioannis E. Sarris Rangaswamy Naveen Kumar Ballajja C. Prasannakumara Effect of Magnetohydrodynamics on Heat Transfer Behaviour of a Non-Newtonian Fluid Flow over a Stretching Sheet under Local Thermal Non-Equilibrium Condition Fluids local thermal non-equilibrium magnetohydrodynamics (MHD) porous medium Oldroyd-B fluid Jeffrey fluid thermophoresis and Brownian motion |
| title | Effect of Magnetohydrodynamics on Heat Transfer Behaviour of a Non-Newtonian Fluid Flow over a Stretching Sheet under Local Thermal Non-Equilibrium Condition |
| title_full | Effect of Magnetohydrodynamics on Heat Transfer Behaviour of a Non-Newtonian Fluid Flow over a Stretching Sheet under Local Thermal Non-Equilibrium Condition |
| title_fullStr | Effect of Magnetohydrodynamics on Heat Transfer Behaviour of a Non-Newtonian Fluid Flow over a Stretching Sheet under Local Thermal Non-Equilibrium Condition |
| title_full_unstemmed | Effect of Magnetohydrodynamics on Heat Transfer Behaviour of a Non-Newtonian Fluid Flow over a Stretching Sheet under Local Thermal Non-Equilibrium Condition |
| title_short | Effect of Magnetohydrodynamics on Heat Transfer Behaviour of a Non-Newtonian Fluid Flow over a Stretching Sheet under Local Thermal Non-Equilibrium Condition |
| title_sort | effect of magnetohydrodynamics on heat transfer behaviour of a non newtonian fluid flow over a stretching sheet under local thermal non equilibrium condition |
| topic | local thermal non-equilibrium magnetohydrodynamics (MHD) porous medium Oldroyd-B fluid Jeffrey fluid thermophoresis and Brownian motion |
| url | https://www.mdpi.com/2311-5521/6/8/264 |
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