Dynamics of Tangent Hyperbolic Fluid Past a Semi-infinite Plate with the Significance of Joule Heating, Thermal Radiation and Soret-Dufour Mechanisms
DOI:
https://doi.org/10.37934/cfdl.16.2.162183Keywords:
Joule heating, Non-Newtonian liquid, Tangent hyperbolic liquid, Lorentz force, Spectral relaxation methodAbstract
The present investigation concentrates on the unsteady flow of tangent hyperbolic liquid past a vertical plate under the influence of Lorentz force, Joule heating, and viscous dissipation. The mathematical modelling leads to nonlinear coupled partial differential equations (PDEs). Suitable non-dimensional quantities are applied to the governing PDEs to obtain dimensionless systems of equations. The transformed boundary layer PDEs are solved with the aid of the spectral relaxation method (SRM). The SRM employs the Gauss-Seidel techniques to linearize and decouple the system of nonlinear PDEs. The applied magnetic field acts as an opposition to the flow by producing the Lorentz force. The Weissenberg parameter, alongside the magnetic parameter, is observed to decline the velocity profile. An increment in thermal radiation parameter is observed to enhance the thickness of the hydrodynamic and thermal boundary layer. Therefore, the thermal condition and convective flow are improved with heat generation and thermal radiation in the flow phenomenon. This investigation is unique because it investigates the combined influence of Soret-Dufour and MHD, viscous dissipation, and Joule heating. This study plays a significant role in astrophysics, heat exchanger devices, MHD power generation, and geothermal energy extraction. When this study is compared to studies that have already been done, it agrees with those studies.
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Naseer, Muhammad, Muhammad Yousaf Malik, Sohail Nadeem, and Abdul Rehman. "The boundary layer flow of hyperbolic tangent fluid over a vertical exponentially stretching cylinder." Alexandria engineering journal 53, no. 3 (2014): 747-750. https://doi.org/10.1016/j.aej.2014.05.001
Ullah, Zakir, and Gul Zaman. "Lie group analysis of magnetohydrodynamic tangent hyperbolic fluid flow towards a stretching sheet with slip conditions." Heliyon 3, no. 11 (2017). https://doi.org/10.1016/j.heliyon.2017.e00443
Subba Rao, Munagala Venkata, Kotha Gangadhar, and Giulio Lorenzini. "A computational analysis for boundary layer flow of magneto hydrodynamic tangent hyperbolic fluid of heat and mass transfer past a stretching cylinder with suction/injection using spectral relaxation method." Mathematical Modelling of Engineering Problems 6, no. 1 (2019). https://doi.org/10.18280/mmep.060105
Mahdy, A., and G. A. Hoshoudy. "Two-phase mixed convection nanofluid flow of a dusty tangent hyperbolic past a nonlinearly stretching sheet." Journal of the Egyptian Mathematical Society 27, no. 1 (2019): 1-16. https://doi.org/10.1186/s42787-019-0050-9
Abbas, M. Ali, Y. Q. Bai, M. M. Bhatti, and M. M. Rashidi. "Three dimensional peristaltic flow of hyperbolic tangent fluid in non-uniform channel having flexible walls." Alexandria Engineering Journal 55, no. 1 (2016): 653-662. https://doi.org/10.1016/j.aej.2015.10.012
Falodun, B. O., and E. O. Ige. "Linear and quadratic multiple regressions analysis on magneto-thermal and chemical reactions on the Casson-Williamson nanofluids boundary layer flow under Soret-Dufour mechanism." Arab Journal of Basic and Applied Sciences 29, no. 1 (2022): 269-286. https://doi.org/10.1080/25765299.2022.2115688
Alao, F. I., A. I. Fagbade, and B. O. Falodun. "Effects of thermal radiation, Soret and Dufour on an unsteady heat and mass transfer flow of a chemically reacting fluid past a semi-infinite vertical plate with viscous dissipation." Journal of the Nigerian mathematical Society 35, no. 1 (2016): 142-158. https://doi.org/10.1016/j.jnnms.2016.01.002
Reddy, P. Bala Anki. "Magnetohydrodynamic flow of a Casson fluid over an exponentially inclined permeable stretching surface with thermal radiation and chemical reaction." Ain Shams Engineering Journal 7, no. 2 (2016): 593-602. https://doi.org/10.1016/j.asej.2015.12.010
Hosseinzadeh, Kh, A. Jafarian Amiri, S. Saedi Ardahaie, and D. D. Ganji. "Effect of variable lorentz forces on nanofluid flow in movable parallel plates utilizing analytical method." Case studies in thermal engineering 10 (2017): 595-610. https://doi.org/10.1016/j.csite.2017.11.001
Ghadikolaei, S. S., Kh Hosseinzadeh, and D. D. Ganji. "Analysis of unsteady MHD Eyring-Powell squeezing flow in stretching channel with considering thermal radiation and Joule heating effect using AGM." Case studies in thermal engineering 10 (2017): 579-594. https://doi.org/10.1016/j.csite.2017.11.004
Hayat, Tasawar, Rai Sajjad, Taseer Muhammad, Ahmed Alsaedi, and Rahmat Ellahi. "On MHD nonlinear stretching flow of Powell–Eyring nanomaterial." Results in physics 7 (2017): 535-543. https://doi.org/10.1016/j.rinp.2016.12.039
Sarfo, Frederick Kwaku, Francis Amankwah, and Daniel Konin. "Computer Self-Efficacy among Senior High School Teachers in Ghana and the Functionality of Demographic Variables on Their Computer Self-Efficacy." Turkish Online Journal of Educational Technology-TOJET 16, no. 1 (2017): 19-31.
Vijaya, N., Y. Hari Krishna, K. Kalyani, and G. V. R. Reddy. "Soret and radiation effects on an unsteady flow of a casson fluid through porous vertical channel with expansion and contraction." Frontiers in Heat and Mass Transfer (FHMT) 11 (2018). https://doi.org/10.5098/hmt.11.19
Reddy, G. V. R., and Y. Hari Krishna. "Soret and dufour effects on MHD micropolar fluid flow over a linearly stretching sheet, through a non-darcy porous medium." International Journal of Applied Mechanics and Engineering 23, no. 2 (2018): 485-502. https://doi.org/10.2478/ijame-2018-0028
Suneetha, K., S. M. Ibrahim, and G. V. Ramana Reddy. "A study on free convective heat and mass transfer flow through a highly porous medium with radiation, chemical reaction and soret effects." Journal of Computational and Applied Research in Mechanical Engineering 8, no. 2 (2019): 121-132.
Idowu, A. S., and B. O. Falodun. "Variable thermal conductivity and viscosity effects on non-Newtonian fluids flow through a vertical porous plate under Soret-Dufour influence." Mathematics and Computers in Simulation 177 (2020): 358-384. https://doi.org/10.1016/j.matcom.2020.05.001
Idowu, A. S., and B. O. Falodun. "Variable thermal conductivity and viscosity effects on non-Newtonian fluids flow through a vertical porous plate under Soret-Dufour influence." Mathematics and Computers in Simulation 177 (2020): 358-384. https://doi.org/10.1016/j.matcom.2020.05.001
Fagbade, A. I., B. O. Falodun, and A. J. Omowaye. "MHD natural convection flow of viscoelastic fluid over an accelerating permeable surface with thermal radiation and heat source or sink: spectral homotopy analysis approach." Ain Shams Engineering Journal 9, no. 4 (2018): 1029-1041. https://doi.org/10.1016/j.asej.2016.04.021
Sobamowo, M. G. "Combined effects of thermal radiation and nanoparticles on free convection flow and heat transfer of casson fluid over a vertical plate." International Journal of Chemical Engineering 2018 (2018). https://doi.org/10.1155/2018/7305973
Ganesh Kumar, K., B. J. Gireesha, and R. S. R. Gorla. "Flow and heat transfer of dusty hyperbolic tangent fluid over a stretching sheet in the presence of thermal radiation and magnetic field." International Journal of Mechanical and Materials Engineering 13, no. 1 (2018): 1-11. https://doi.org/10.1186/s40712-018-0088-8
Fagbade, Adeyemi Isaiah, Bidemi Olumide Falodun, and Chika Uchechukwu Boneze. "Influence of magnetic field, viscous dissipation and thermophoresis on Darcy-Forcheimer mixed convection flow in fluid saturated porous media." American Journal of Computational Mathematics 5, no. 01 (2015): 18-40. https://doi.org/10.4236/ajcm.2015.51002
Daniel, Yahaya Shagaiya. "Laminar convective boundary layer slip flow over a flat plate using homotopy analysis method." Journal of The Institution of Engineers (India): Series E 97 (2016): 115-121. https://doi.org/10.1007/s40034-016-0084-6
Shahzad, F., M. Sagheer, and S. Hussain. "MHD tangent hyperbolic nanofluid with chemical reaction, viscous dissipation and Joule heating effects." AIP advances 9, no. 2 (2019). https://doi.org/10.1063/1.5054798
Shahzad, Faisal, Wasim Jamshed, Tanveer Sajid, Kottakkaran Sooppy Nisar, and Mohamed R. Eid. "Heat transfer analysis of MHD rotating flow of Fe3O4 nanoparticles through a stretchable surface." Communications in Theoretical Physics 73, no. 7 (2021): 075004. https://doi.org/10.1088/1572-9494/abf8a1
Hussain, Arif, M. Y. Malik, T. Salahuddin, A. Rubab, and Mair Khan. "Effects of viscous dissipation on MHD tangent hyperbolic fluid over a nonlinear stretching sheet with convective boundary conditions." Results in physics 7 (2017): 3502-3509. https://doi.org/10.1016/j.rinp.2017.08.026
Ayegbusi, Florence D., Cletus Onwubuoya, and Bidemi O. Falodun. "Unsteady problem of magnetohydrodynamic heat plus mass transfer convective flow over a moveable plate with effects of thermophoresis and thermal radiation." Heat Transfer 49, no. 6 (2020): 3593-3612. https://doi.org/10.1002/htj.21790
Jabeen, K., M. Mushtaq, and R. M. Akram Muntazir. "Analysis of MHD fluids around a linearly stretching sheet in porous media with thermophoresis, radiation, and chemical reaction." Mathematical Problems in Engineering 2020 (2020): 1-14. https://doi.org/10.1155/2020/9685482
Anjum, Aisha, Sadaf Masood, Muhammad Farooq, Naila Rafiq, and Muhammad Yousaf Malik. "Investigation of binary chemical reaction in magnetohydrodynamic nanofluid flow with double stratification." Advances in Mechanical Engineering 13, no. 5 (2021): 16878140211016264. https://doi.org/10.1177/16878140211016264
Abo-zaid, Omima A., R. A. Mohamed, F. M. Hady, and A. Mahdy. "MHD Powell–Eyring dusty nanofluid flow due to stretching surface with heat flux boundary condition." Journal of the Egyptian Mathematical Society 29, no. 1 (2021): 1-14. https://doi.org/10.1186/s42787-021-00123-w
Yadav, Pramod Kumar, and Amit Kumar Verma. "Analysis of immiscible Newtonian and non-Newtonian micropolar fluid flow through porous cylindrical pipe enclosing a cavity." The European Physical Journal Plus 135 (2020): 1-35. https://doi.org/10.1140/epjp/s13360-020-00672-6
Hussain, Azad, Mubashar Arshad, Ali Hassan, Aysha Rehman, Hijaz Ahmad, Jamel Baili, and Tuan Nguyen Gia. "Heat transport investigation of engine oil based rotating nanomaterial liquid flow in the existence of partial slip effect." Case Studies in Thermal Engineering 28 (2021): 101500. https://doi.org/10.1016/j.csite.2021.101500
Dawar, Abdullah, Zahir Shah, Hashim M. Alshehri, Saeed Islam, and Poom Kumam. "Magnetized and non-magnetized Casson fluid flow with gyrotactic microorganisms over a stratified stretching cylinder." Scientific Reports 11, no. 1 (2021): 16376. https://doi.org/10.1038/s41598-021-95878-8
Falodun, B. O., A. A. Ayoade, and O. Odetunde. "Positive and negative soret and dufour mechanism on unsteady heat and mass transfer flow in the presence of viscous dissipation, thermal and mass buoyancy." Australian Journal of Mechanical Engineering 21, no. 3 (2023): 965-978. https://doi.org/10.1080/14484846.2021.1938950
Falodun, Bidemi O., C. Onwubuoya, and FH Awoniran Alamu. "Magnetohydrodynamics (MHD) heat and mass transfer of Casson fluid flow past a semi-infinite vertical plate with thermophoresis effect: spectral relaxation analysis." In Defect and Diffusion Forum, vol. 389, pp. 18-35. Trans Tech Publications Ltd, 2018. https://doi.org/10.4028/www.scientific.net/DDF.389.18
Hussain, Azad, Ali Hassan, Qasem Al Mdallal, Hijaz Ahmad, Aysha Rehman, Mohamed Altanji, and Mubashar Arshad. "Heat transport investigation of magneto-hydrodynamics (SWCNT-MWCNT) hybrid nanofluid under the thermal radiation regime." Case Studies in Thermal Engineering 27 (2021): 101244. https://doi.org/10.1016/j.csite.2021.101244
Hussain, Azad, Mubashar Arshad, Aysha Rehman, Ali Hassan, S. K. Elagan, Hijaz Ahmad, and Amira Ishan. "Three-dimensional water-based magneto-hydrodynamic rotating nanofluid flow over a linear extending sheet and heat transport analysis: A numerical approach." Energies 14, no. 16 (2021): 5133. https://doi.org/10.3390/en14165133
Idowu, A. S., and B. O. Falodun. "Soret–Dufour effects on MHD heat and mass transfer of Walter’sB viscoelastic fluid over a semi-infinite vertical plate: spectral relaxation analysis." Journal of taibah university for science 13, no. 1 (2019): 49-62. https://doi.org/10.1080/16583655.2018.1523527
Motsa, S. S. "New iterative methods for solving nonlinear boundary value problems." In Fifth Annual Workshop on Computational Applied Mathematics and Mathematical Modeling in Fluid Flow, pp. 9-13. Pietermaritzburg, South Africa: School of Mathematics, statistics and computer science, Pietermaritzburg Campus, 2012.
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