Effects of Newtonian Heating on MHD Jeffrey Hybrid Nanofluid Flow via Porous Medium
DOI:
https://doi.org/10.37934/arnht.28.1.109130Keywords:
Jeffrey hybrid nanofluid, Porosity, Magnetohydrodynamics, Newtonian heating, Laplace transformationAbstract
In recent years, hybrid nanoparticles have gained significant attention for their ability to enhance thermal conductivity in various fluid systems, making them effective heat transport catalysts. Despite advancements in thermal fluid technology, a gap remains in understanding how hybrid nanoparticles interact within non-Newtonian Jeffrey fluid systems, particularly under complex boundary conditions like Newtonian heating. The present study aims to shed light on the effect of hybrid nanoparticles (alumina and copper) incorporated into a Jeffrey fluid model on flow and heat transport, considering them as heat transport catalyst and subject to Newtonian heating to optimize thermal efficiency. An exponentially accelerated plate is used to induce the fluid flow, taking into account the effects of porosity, MHD, and thermal radiation. The examined fluid exhibits an unsteady one-dimensional flow, formulated by deriving partial differential equations, which are subsequently transformed into ordinary differential equations using suitable non-dimensional variables and the Laplace transformation. This research distinguishes itself by presenting a novel mathematical model for MHD Jeffrey hybrid nanofluid, accounting for porosity and Newtonian heating effects. The inverse of Laplace is used to generate the exact solutions for velocity and temperature profiles, which is not explored in existing literature. Graphical representations are generated using Mathcad, depicting the velocity and temperature distributions. A comparison with prior study from the literature demonstrates strong agreement between our findings and theirs. The findings indicate that the velocity and temperature profiles of the hybrid nanofluid are higher with Newtonian heating than without it. Additionally, an increase in the Grashof number, radiation, acceleration, and porosity parameters also leads to an enhanced velocity profile.
Downloads
References
Okuyade, Ighoroje WA, and Tamunoimi M. Abbey. "Transient MHD Fluid Flow Past a Moving Vertical Surface in a Velocity Slip Flow Regime." WSEAS Transactions on Fluid Mechanics 19 (2024): 99-112. https://doi.org/10.37394/232013.2024.19.10 DOI: https://doi.org/10.37394/232013.2024.19.10
Wan Azmi, Wan Faezah, Ahmad Qushairi Mohamad, Lim Yeou Jiann, and Sharidan Shafie. "Mathematical Modelling of MHD Blood Flow with Gold Nanoparticles in Slip Small Arteries." Journal of Applied and Computational Mechanics 10, no. 1 (2024): 125-139. https://doi.org/10.22055/jacm.2023.44057.4160
Ali, Farhan, A. Zaib, M. Khalid, T. Padmavathi, and B. Hemalatha. "Unsteady MHD Flow of Casson Fluid Past Vertical Surface Using Laplace Transform Solution." Journal of Computational Biophysics and Chemistry 22, no. 03 (2023): 361-370. https://doi.org/10.1142/S2737416523400100 DOI: https://doi.org/10.1142/S2737416523400100
Sehra, Sehra, Afshan Noor, Sami Ul Haq, Saeed Ullah Jan, Ilyas Khan, and Abdullah Mohamed. "Heat transfer of generalized second grade fluid with MHD, radiation and exponential heating using Caputo–Fabrizio fractional derivatives approach." Scientific Reports 13, no. 1 (2023): 5220. https://doi.org/10.1038/s41598-022-22665-4 DOI: https://doi.org/10.1038/s41598-022-22665-4
Noranuar, W. N. N., A. Qushairi Mohamad, S. Shafie, and I. Khan. "Accelerated non-coaxial rotating flow of MHD viscous fluid with heat and mass transfer." In IOP Conference Series: Materials Science and Engineering, vol. 1051, no. 1, p. 012044. IOP Publishing, 2021. https://doi.org/10.1088/1757-899X/1051/1/012044 DOI: https://doi.org/10.1088/1757-899X/1051/1/012044
Ramzan, Muhammad, Ahmad Shafique, Shajar Abbas, Elsiddeg Ali, Aiedh Mrisi Alharthi, and Rashid Jan. "Effect of slip on MHD flow of fluid with heat and mass transfer through a plate." Radiation Effects and Defects in Solids (2024): 1-13. https://doi.org/10.1080/10420150.2024.2397137 DOI: https://doi.org/10.1080/10420150.2024.2397137
Krishna, M. Veera, M. Gangadhar Reddy, and Ali J. Chamkha. "Heat and mass transfer on unsteady MHD flow through an infinite oscillating vertical porous surface." Journal of Porous Media 24, no. 1 (2021). https://doi.org/10.1615/JPorMedia.2020025021 DOI: https://doi.org/10.1615/JPorMedia.2020025021
Wu, Yunyun, and Jia Xu. "Simplified analysis of MHD flow in a porous surrounding bounded by an oscillating vertical cylindrical surface." Case Studies in Thermal Engineering 30 (2022): 101737. https://doi.org/10.1016/j.csite.2021.101737 DOI: https://doi.org/10.1016/j.csite.2021.101737
Omar, Nur Fatihah Mod, Husna Izzati Osman, Ahmad Qushairi Mohamad, Rahimah Jusoh, and Zulkhibri Ismail. "Analytical solution of unsteady MHD Casson fluid with thermal radiation and chemical reaction in porous medium." Journal of Advanced Research in Applied Sciences and Engineering Technology 29, no. 2 (2023): 185-194. https://doi.org/10.37934/araset.29.2.185194 DOI: https://doi.org/10.37934/araset.29.2.185194
Noranuar, Wan Nura’in Nabilah, Ahmad Qushairi Mohamad, Sharidan Shafie, and Lim Yeou Jiann. "Heat and mass transfer on Magnetohydrodynamics Casson carbon nanotubes nanofluid flow in an asymmetrical channel via porous medium." Symmetry 15, no. 4 (2023): 946. https://doi.org/10.3390/sym15040946 DOI: https://doi.org/10.3390/sym15040946
Haq, Sami Ul, Hammad Khaliq, Saeed Ullah Jan, Aisha M. Alqahtani, Ilyas Khan, and Md Nur Alam. "General solution for unsteady MHD natural convection flow with arbitrary motion of the infinite vertical plate embedded in porous medium." Journal of Mathematics 2022, no. 1 (2022): 9959564. https://doi.org/10.1155/2022/9959564 DOI: https://doi.org/10.1155/2022/9959564
Abbas, Shajar, Zaib Un Nisa, Mudassar Nazar, Ahmed Sayed M. Metwally, Krzysztof Kędzia, Ahmed Zubair Jan, and Nargiza Kamolova. "Effect of chemical reaction on MHD Casson natural convection flow over an oscillating plate in porous media using Caputo fractional derivative." International Journal of Thermal Sciences 207 (2025): 109355. https://doi.org/10.1016/j.ijthermalsci.2024.109355 DOI: https://doi.org/10.1016/j.ijthermalsci.2024.109355
Yasin, Siti Hanani Mat, Muhammad Khairul Anuar Mohamed, Zulkhibri Ismail, Basuki Widodo, and Mohd Zuki Salleh. "Numerical solution on MHD stagnation point flow in ferrofluid with Newtonian heating and thermal radiation effect." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 57, no. 1 (2019): 12-22. Retrieved from https://semarakilmu.com.my/journals/index.php/fluid_mechanics_thermal_sciences/article/view/3111
Puzi, Nurwardah Mohd, Mashitah Aziz, Nur Syazana Anuar, Norfifah Bachok, and Ioan Pop. "Newtonian Heating in Magnetohydrodynamic (MHD) Hybrid Nanofluid Flow Near the Stagnation Point over Nonlinear Stretching and Shrinking Sheet." Journal of Advanced Research in Numerical Heat Transfer 20, no. 1 (2024): 53-67. https://doi.org/10.37934/arnht.20.1.5367 DOI: https://doi.org/10.37934/arnht.20.1.5367
Aleem, Maryam, Muhammad Imran Asjad, Aqila Shaheen, and Ilyas Khan. "MHD Influence on different water based nanofluids (TiO2, Al2O3, CuO) in porous medium with chemical reaction and newtonian heating." Chaos, Solitons & Fractals 130 (2020): 109437. https://doi.org/10.1016/j.chaos.2019.109437 DOI: https://doi.org/10.1016/j.chaos.2019.109437
Riaz, Muhammad Bilal, Jan Awrejcewicz, and Dumitru Baleanu. "Exact solutions for thermomagetized unsteady non-singularized jeffrey fluid: Effects of ramped velocity, concentration with newtonian heating." Results in physics 26 (2021): 104367. https://doi.org/10.1016/j.rinp.2021.104367 DOI: https://doi.org/10.1016/j.rinp.2021.104367
Mohd Zin, Nor Athirah, Ilyas Khan, and Sharidan Shafie. "Exact and numerical solutions for unsteady heat and mass transfer problem of Jeffrey fluid with MHD and Newtonian heating effects." Neural Computing and Applications 30, no. 11 (2018): 3491-3507. https://doi.org/10.1007/s00521-017-2935-6 DOI: https://doi.org/10.1007/s00521-017-2935-6
Ramzan, M., A. Shafique, M. Amir, M. Nazar, and Zaib Un Nisa. "MHD flow of fractionalized Jeffrey fluid with Newtonian heating and thermal radiationover a vertical plate." International Journal of Sciences: Basic and Applied Research 61 (2022): 170-195.
Anwar, Talha, Poom Kumam, Ilyas Khan, and Phatiphat Thounthong. "Generalized unsteady MHD natural convective flow of Jeffery model with ramped wall velocity and Newtonian heating; a Caputo-Fabrizio approach." Chinese Journal of Physics 68 (2020): 849-865. https://doi.org/10.1016/j.cjph.2020.10.018 DOI: https://doi.org/10.1016/j.cjph.2020.10.018
Ishtiaq, Fehid, Rahmat Ellahi, Muhammad Mubashir Bhatti, and Sultan Z. Alamri. "Insight in thermally radiative cilia-driven flow of electrically conducting non-Newtonian Jeffrey fluid under the influence of induced magnetic field." Mathematics 10, no. 12 (2022): 2007. https://doi.org/10.3390/math10122007 DOI: https://doi.org/10.3390/math10122007
Akbar, Noreen Sher, S. Nadeem, and Mohamed Ali. "Jeffrey fluid model for blood flow through a tapered artery with a stenosis." Journal of Mechanics in Medicine and Biology 11, no. 03 (2011): 529-545. https://doi.org/10.1142/S0219519411003879 DOI: https://doi.org/10.1142/S0219519411003879
Zin, Nor Athirah Mohd, Ilyas Khan, Sharidan Shafie, and Ali Saleh Alshomrani. "Analysis of heat transfer for unsteady MHD free convection flow of rotating Jeffrey nanofluid saturated in a porous medium." Results in physics 7 (2017): 288-309. https://doi.org/10.1016/j.rinp.2016.12.032 DOI: https://doi.org/10.1016/j.rinp.2016.12.032
Hari Babu, B., P. Srinivasa Rao, and S. V. K. Varma. "Hall and ion‐slip effects on MHD free convection flow of rotating Jeffrey fluid over an infinite vertical porous surface." Heat Transfer 50, no. 2 (2021): 1776-1798. https://doi.org/10.1002/htj.21954 DOI: https://doi.org/10.1002/htj.21954
Krishna, M. Veera. "Hall and ion slip effects on radiative MHD rotating flow of Jeffreys fluid past an infinite vertical flat porous surface with ramped wall velocity and temperature." International communications in Heat and Mass transfer 126 (2021): 105399. https://doi.org/10.1016/j.icheatmasstransfer.2021.105399 DOI: https://doi.org/10.1016/j.icheatmasstransfer.2021.105399
Asjad, Muhammad Imran, Abdul Basit, Ali Akgül, and Taseer Muhammad. "Generalized thermal flux flow for Jeffrey fluid with fourier law over an infinite plate." Mathematical Problems in Engineering 2021, no. 1 (2021): 5403879. https://doi.org/10.1155/2021/5403879 DOI: https://doi.org/10.1155/2021/5403879
Bajwa, Sana, Saif Ullah, Amnah S. Al-Johani, Ilyas Khan, and Mulugeta Andualem. "Effects of MHD and porosity on Jeffrey fluid flow with wall transpiration." Mathematical Problems in Engineering 2022, no. 1 (2022): 6063143. https://doi.org/10.1155/2022/6063143 DOI: https://doi.org/10.1155/2022/6063143
Aleem, Maryam, Muhammad Imran Asjad, Ali Ahmadian, Mehdi Salimi, and Massimiano Ferrara. "Heat transfer analysis of channel flow of MHD Jeffrey fluid subject to generalized boundary conditions." The European physical journal plus 135, no. 1 (2020): 26. https://doi.org/10.1140/epjp/s13360-019-00071-6 DOI: https://doi.org/10.1140/epjp/s13360-019-00071-6
Siddique, Imran, Rubina Adrees, Hijaz Ahmad, and Sameh Askar. "MHD free convection flows of Jeffrey fluid with Prabhakar-like fractional model subject to generalized thermal transport." Scientific Reports 13, no. 1 (2023): 9289. https://doi.org/10.1038/s41598-023-36436-2 DOI: https://doi.org/10.1038/s41598-023-36436-2
Mohamed, Hozaifa A., Majed Alhazmy, F. Mansour, and El-Sayed R. Negeed. "Heat transfer enhancement using CuO nanofluid in a double pipe U-bend heat exchanger." Journal of Nanofluids 12, no. 5 (2023): 1260-1274. https://doi.org/10.1166/jon.2023.2014 DOI: https://doi.org/10.1166/jon.2023.2014
Memet, Feiza. "Heat transfer analysis when using Al2O3–water nanofluid in a double pipe heat exchanger with parallel flow arrangement." In Advanced Topics in Optoelectronics, Microelectronics, and Nanotechnologies XI, vol. 12493, pp. 81-86. SPIE, 2023. https://doi.org/10.1117/12.2642034 DOI: https://doi.org/10.1117/12.2642034
Kumar, Sunil, Mridul Sharma, Anju Bala, Anil Kumar, Rajesh Maithani, Sachin Sharma, Tabish Alam, Naveen Kumar Gupta, and Mohsen Sharifpur. "Enhanced heat transfer using oil-based nanofluid flow through Conduits: A Review." Energies 15, no. 22 (2022): 8422. https://doi.org/10.3390/en15228422 DOI: https://doi.org/10.3390/en15228422
Elfaghi, Abdulhafid MA, Alhadi A. Abosbaia, Munir FA Alkbir, and Abdoulhdi AB Omran. "Heat transfer enhancement in pipe using Al2O3/water nanofluid." CFD Letters 14, no. 9 (2022): 118-124. https://doi.org/10.37934/cfdl.14.9.118124 DOI: https://doi.org/10.37934/cfdl.14.9.118124
Suresh, Sivan, K. P. Venkitaraj, Ponnusamy Selvakumar, and Murugesan Chandrasekar. "Effect of Al2O3–Cu/water hybrid nanofluid in heat transfer." Experimental Thermal and Fluid Science 38 (2012): 54-60. https://doi.org/10.1016/j.expthermflusci.2011.11.007 DOI: https://doi.org/10.1016/j.expthermflusci.2011.11.007
Waini, Iskandar, Anuar Ishak, Teodor Groşan, and Ioan Pop. "Mixed convection of a hybrid nanofluid flow along a vertical surface embedded in a porous medium." International Communications in Heat and Mass Transfer 114 (2020): 104565. https://doi.org/10.1016/j.icheatmasstransfer.2020.104565 DOI: https://doi.org/10.1016/j.icheatmasstransfer.2020.104565
Eshgarf, Hamed, Rasool Kalbasi, Akbar Maleki, Mostafa Safdari Shadloo, and Arash Karimipour. "A review on the properties, preparation, models and stability of hybrid nanofluids to optimize energy consumption." Journal of Thermal Analysis and Calorimetry 144 (2021): 1959-1983. https://doi.org/10.1007/s10973-020-09998-w DOI: https://doi.org/10.1007/s10973-020-09998-w
Saqib, Muhammad, Ilyas Khan, and Sharidan Shafie. "Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms." Advances in Difference Equations 2019, no. 1 (2019): 1-18. https://doi.org/10.1186/s13662-019-1988-5 DOI: https://doi.org/10.1186/s13662-019-1988-5
Ikram, Muhammad Danish, Muhammad Imran Asjad, Ali Akgül, and Dumitru Baleanu. "Effects of hybrid nanofluid on novel fractional model of heat transfer flow between two parallel plates." Alexandria Engineering Journal 60, no. 4 (2021): 3593-3604. https://doi.org/10.1016/j.aej.2021.01.054 DOI: https://doi.org/10.1016/j.aej.2021.01.054
Roy, Nepal Chandra, and Ioan Pop. "Exact solutions of Stokes' second problem for hybrid nanofluid flow with a heat source." Physics of Fluids 33, no. 6 (2021). https://doi.org/10.1063/5.0054576 DOI: https://doi.org/10.1063/5.0054576
Elelamy, Asmaa F. "Laser Effects on Bioheat Transfer with Non-Newtonian Hybird Nanofluid Flow: Analytical Method with Finite Sine and Laplace Transforms." Journal of Nanofluids 12, no. 5 (2023): 1224-1232. https://doi.org/10.1166/jon.2023.2011 DOI: https://doi.org/10.1166/jon.2023.2011
Rajesh, Vemula, Hakan F. Öztop, and Nidal H. Abu-Hamdeh. "Impact of moving/exponentially accelerated vertical plate on unsteady flow and heat transfer in hybrid nanofluids." Journal of Nanofluids 12, no. 5 (2023): 1374-1382. https://doi.org/10.1166/jon.2023.2023 DOI: https://doi.org/10.1166/jon.2023.2023
Anwar, Talha, and Poom Kumam. "A fractal fractional model for thermal analysis of GO− NaAlg− Gr hybrid nanofluid flow in a channel considering shape effects." Case Studies in Thermal Engineering 31 (2022): 101828. https://doi.org/10.1016/j.csite.2022.101828 DOI: https://doi.org/10.1016/j.csite.2022.101828
Ali, Rizwan, Muhammad Imran Asjad, Ali Aldalbahi, Mohammad Rahimi-Gorji, and Mostafizur Rahaman. "Convective flow of a Maxwell hybrid nanofluid due to pressure gradient in a channel." Journal of Thermal Analysis and Calorimetry 143 (2021): 1319-1329. https://doi.org/10.1007/s10973-020-10304-x DOI: https://doi.org/10.1007/s10973-020-10304-x
Zin, Nor Athirah Mohd, Siti Nur Alwani Salleh, Ahmad Qushairi Mohamad, Mohd Rijal Ilias, and Ilyas Khan. "Heat Transfer in Hartmann Flow of Hybrid Nano-Jeffrey Fluid with Heat Absorption and Thermal Radiation Impact." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 112, no. 1 (2023): 38-61. https://doi.org/10.37934/arfmts.112.1.3861 DOI: https://doi.org/10.37934/arfmts.112.1.3861
Wang, Liqiu, Xuesheng Zhou, and Xiaohao Wei. Heat conduction: mathematical models and analytical solutions. Springer Science & Business Media, 2007. https://doi.org/10.1007/978-3-540-74303-3 DOI: https://doi.org/10.1007/978-3-540-74303-3
Kato, Sumio, and Shoichi Matsuda. "Analytical solution for the problem of one-dimensional quasi-steady non-charring ablation in a semi-infinite solid with temperature-dependent thermo-physical properties." Thermal Science and Engineering Progress 31 (2022): 101181. https://doi.org/10.1016/j.tsep.2021.101181 DOI: https://doi.org/10.1016/j.tsep.2021.101181
Kucherenko, P. A., and S. V. Sokolov. "Analytical solution for a problem on approximation of functional dependences for parameters of a geodesic line." Mechanics of Solids 54, no. 7 (2019): 1076-1082. https://doi.org/10.3103/S0025654419070082 DOI: https://doi.org/10.3103/S0025654419070082
Downloads
Published
How to Cite
Issue
Section
