Effect of Water-based Alumina-Copper MHD Hybrid Nanofluid on a Power-Law Form Stretching/Shrinking Sheet with Joule Heating and Slip condition: Dual Solutions Study

Authors

  • Adnan asghar School of Quantitative Sciences, UUM College of Arts & Sciences, Universiti Utara Malaysia, 06010 UUM Sintok, Kedah Darul Aman, Malaysia.
  • Mallika Vasugi Govindarajoo Department of Language and Communications, Faculty of Education and Humanities, UNITAR International University, Petaling Jaya 47301, Malaysia
  • Hussan Ara Centre of Excellence for Social Innovation and Sustainability (CoESIS), Institute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Campus, 02600 Arau, Perlis, Malaysia
  • Khairy Zaimi Centre of Excellence for Social Innovation and Sustainability (CoESIS), Institute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Campus, 02600 Arau, Perlis, Malaysia
  • Teh Yuan Ying School of Quantitative Sciences, UUM College of Arts & Sciences, Universiti Utara Malaysia, 06010 UUM Sintok, Kedah Darul Aman, Malaysia.
  • Liaquat Ali Lund KCAET Khairpur Mir's, Sindh Agriculture University, Tandojam Sindh 70060, Pakistan

DOI:

https://doi.org/10.37934/cfdl.17.4.119135

Keywords:

Power law form stretching/shrinking sheet, Dual solutions, Hybrid nanofluid, Joule heating

Abstract

The application of hybrid nanofluid is now being employed to augment the efficiency of heat transfer rates. A numerical study was conducted to investigate the flow characteristics of water-based-alumina copper hybrid nanofluids towards a power-law form stretching/shrinking sheet. This study also considered the influence of magnetic, Joule heating, and thermal slip parameters. This study is significant because it advances our understanding of hybrid nanofluids in the presence of magnetic fields, power-law form stretching/shrinking sheet, and heat transfer mechanisms, providing valuable insights for optimizing and innovating thermal management systems in various industrial applications such as polymers, biological fluids, and manufacturing processes like extrusion, plastic and metal forming, and coating processes. The main objective of this study is to examine the impact of specific attributes, including suction and thermal slip parameters on temperature and velocity profiles. In addition, this exploration examined the reduced skin friction and reduced heat transfer in relation to the solid volume fraction copper and magnetic effects on shrinkage sheet and thermal slip parameter on suction effect. To facilitate the conversion of a nonlinear partial differential equation into a collection of ordinary differential equations, it is necessary to incorporate suitable similarity variables into the transformation procedure. The MATLAB bvp4c solver application is utilized in the conclusion process to solve ordinary differential equations. No solution was found in the sort of when , and . As the intensity of the Eckert number increases, the temperature profile and boundary layer thickness also increase. The reduced heat transfer rate upsurged in both solutions for solid volume fraction copper for shrinking sheet, while the opposite actions can be noticed in both solutions for thermal slip parameter for suction effect. Finally, the study conducted an analysis to identify two distinct solutions for shrinking sheet and suction zone, while considering different parameter values for the copper volume fractions, magnetic and thermal slip condition effect.

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Author Biographies

Adnan asghar, School of Quantitative Sciences, UUM College of Arts & Sciences, Universiti Utara Malaysia, 06010 UUM Sintok, Kedah Darul Aman, Malaysia.

asgharadnan675@gmail.com

Mallika Vasugi Govindarajoo, Department of Language and Communications, Faculty of Education and Humanities, UNITAR International University, Petaling Jaya 47301, Malaysia

mallika@unitar.my

Hussan Ara, Centre of Excellence for Social Innovation and Sustainability (CoESIS), Institute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Campus, 02600 Arau, Perlis, Malaysia

hussanara997@gmail.com

Khairy Zaimi , Centre of Excellence for Social Innovation and Sustainability (CoESIS), Institute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Campus, 02600 Arau, Perlis, Malaysia

khairy@unimap.edu.my

Teh Yuan Ying, School of Quantitative Sciences, UUM College of Arts & Sciences, Universiti Utara Malaysia, 06010 UUM Sintok, Kedah Darul Aman, Malaysia.

yuanying@uum.edu.my

Liaquat Ali Lund, KCAET Khairpur Mir's, Sindh Agriculture University, Tandojam Sindh 70060, Pakistan

balochliaqatali@gmail.com

References

Sakiadis, Byron C. "Boundary‐layer behavior on continuous solid surfaces: I. Boundary‐layer equations for two‐dimensional and axisymmetric flow." AIChE Journal 7, no. 1 (1961): 26-28. https://doi.org/10.1002/aic.690070108 DOI: https://doi.org/10.1002/aic.690070108

Crane, Lawrence J. "Flow past a stretching plate." Zeitschrift für angewandte Mathematik und Physik ZAMP 21 (1970): 645-647. https://doi.org/10.1007/BF01587695 DOI: https://doi.org/10.1007/BF01587695

Choi, S. US, and Jeffrey A. Eastman. Enhancing thermal conductivity of fluids with nanoparticles. No. ANL/MSD/CP-84938; CONF-951135-29. Argonne National Lab.(ANL), Argonne, IL (United States), 1995. https://www.osti.gov/servlets/purl/196525

Fadhel, Mustafa Abbas, Adnan Asghar, Liaquat Ali Lund, Zahir Shah, Narcisa Vrinceanu, and Vineet Tirth. "Dual numerical solutions of Casson SA–hybrid nanofluid toward a stagnation point flow over stretching/shrinking cylinder." Nanotechnology Reviews 13, no. 1 (2024): 20230191. https://doi.org/10.1515/ntrev-2023-0191 DOI: https://doi.org/10.1515/ntrev-2023-0191

Rasool, Ghulam, Wang Xinhua, Liaquat Ali Lund, Ubaidullah Yashkun, Abderrahim Wakif, and Adnan Asghar. "Dual solutions of unsteady flow of copper-alumina/water based hybrid nanofluid with acute magnetic force and slip condition." Heliyon 9, no. 12 (2023). https://doi.org/10.1016/j.heliyon.2023.e22737 DOI: https://doi.org/10.1016/j.heliyon.2023.e22737

Devi, SP Anjali, and S. Suriya Uma Devi. "Numerical investigation of hydromagnetic hybrid Cu–Al2O3/water nanofluid flow over a permeable stretching sheet with suction." International Journal of Nonlinear Sciences and Numerical Simulation 17, no. 5 (2016): 249-257. https://doi.org/10.1515/ijnsns-2016-0037 DOI: https://doi.org/10.1515/ijnsns-2016-0037

Aly, Emad H., and Ioan Pop. "MHD flow and heat transfer over a permeable stretching/shrinking sheet in a hybrid nanofluid with a convective boundary condition." International Journal of Numerical Methods for Heat & Fluid Flow 29, no. 9 (2019): 3012-3038. https://doi.org/10.1108/HFF-12-2018-0794 DOI: https://doi.org/10.1108/HFF-12-2018-0794

Bataller, Rafael Cortell. "Similarity solutions for flow and heat transfer of a quiescent fluid over a nonlinearly stretching surface." Journal of materials processing technology 203, no. 1-3 (2008): 176-183. https://doi.org/10.1016/j.jmatprotec.2007.09.055 DOI: https://doi.org/10.1016/j.jmatprotec.2007.09.055

Cortell, Rafael. "Heat and fluid flow due to non-linearly stretching surfaces." Applied Mathematics and Computation 217, no. 19 (2011): 7564-7572. https://doi.org/10.1016/j.amc.2011.02.029 DOI: https://doi.org/10.1016/j.amc.2011.02.029

Ferdows, M., Md Jashim Uddin, and A. A. Afify. "Scaling group transformation for MHD boundary layer free convective heat and mass transfer flow past a convectively heated nonlinear radiating stretching sheet." International Journal of Heat and Mass Transfer 56, no. 1-2 (2013): 181-187. https://doi.org/10.1016/j.ijheatmasstransfer.2012.09.020 DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2012.09.020

Rashidi, Mohammad Mehdi, Behnam Rostami, Navid Freidoonimehr, and Saeid Abbasbandy. "Free convective heat and mass transfer for MHD fluid flow over a permeable vertical stretching sheet in the presence of the radiation and buoyancy effects." Ain Shams Engineering Journal 5, no. 3 (2014): 901-912. https://doi.org/10.1016/j.asej.2014.02.007 DOI: https://doi.org/10.1016/j.asej.2014.02.007

Raju, C. S. K., N. Sandeep, C. Sulochana, V. Sugunamma, and M. Jayachandra Babu. "Radiation, inclined magnetic field and cross-diffusion effects on flow over a stretching surface." Journal of the Nigerian Mathematical Society 34, no. 2 (2015): 169-180. https://doi.org/10.1016/j.jnnms.2015.02.003 DOI: https://doi.org/10.1016/j.jnnms.2015.02.003

Srinivasacharya, D., Ch RamReddy, P. Naveen, and O. Surender. "Non-Darcy mixed convection flow past a vertical porous plate with joule heating, hall and ion-slip effects." Procedia Engineering 127 (2015): 162-169. https://doi.org/10.1016/j.proeng.2015.11.319 DOI: https://doi.org/10.1016/j.proeng.2015.11.319

Naveen, P., and Ch RamReddy. "Soret and viscous dissipation effects on MHD flow along an inclined channel: Nonlinear Boussinesq approximation." In Numerical Heat Transfer and Fluid Flow: Select Proceedings of NHTFF 2018, pp. 267-274. Springer Singapore, 2019. https://doi.org/10.1007/978-981-13-1903-7_31 DOI: https://doi.org/10.1007/978-981-13-1903-7_31

RamReddy, C., and P. Naveen. "Analysis of activation energy in quadratic convective flow of a micropolar fluid with chemical reaction and suction/injection effects." Multidiscipline Modeling in Materials and Structures 16, no. 1 (2020): 169-190. https://doi.org/10.1108/MMMS-12-2018-0217 DOI: https://doi.org/10.1108/MMMS-12-2018-0217

Asghar, Adnan, Teh Yuan Ying, Muhammad Javed Iqbal, and Liaqat Ali. "Thermal characterization of hybrid nanofluid with impact of convective boundary layer flow and Joule heating law: Dual solutions case study." Modern Physics Letters B (2023): 2450158. https://doi.org/10.1142/S0217984924501586 DOI: https://doi.org/10.1142/S0217984924501586

Naveen, Padigepati, and Chitteti RamReddy. "Quadratic convection in a power-law fluid with activation energy and suction/injection effects." International Journal of Ambient Energy 44, no. 1 (2023): 822-834. https://doi.org/10.1080/01430750.2022.2155875 DOI: https://doi.org/10.1080/01430750.2022.2155875

Naveen, P., Ch RamReddy, and D. Srinivasacharya. "Nonlinear Convective Flow of Power-law Fluid over an Inclined Plate with Double Dispersion Effects and Convective Thermal Boundary Condition." In International Conference on Applied Analysis, Computation and Mathematical Modelling in Engineering, pp. 109-127. Singapore: Springer Nature Singapore, 2021. https://doi.org/10.1007/978-981-19-1824-7_8 DOI: https://doi.org/10.1007/978-981-19-1824-7_8

[ 19] Noranuar, Wan Nura’in Nabilah, Ahmad Qushairi Mohamad, Lim Yeou Jiann, Sharidan Shafie, and Mohd Anuar Jamaludin. "Analytical Solution for MHD Casson Nanofluid Flow and Heat Transfer due to Stretching Sheet in Porous Medium." Journal of Advanced Research in Numerical Heat Transfer 19, no. 1 (2024): 43-59. https://doi.org/10.37934/arnht.19.1.4359 DOI: https://doi.org/10.37934/arnht.19.1.4359

Asghar, Adnan, Teh Yuan Ying, and Khairy Zaimi. "Two-dimensional magnetized mixed convection hybrid nanofluid over a vertical exponentially shrinking sheet by thermal radiation, joule heating, velocity and thermal slip conditions." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 95, no. 2 (2022): 159-179. https://doi.org/10.37934/arfmts.95.2.159179 DOI: https://doi.org/10.37934/arfmts.95.2.159179

Khairi, Ahmad Adzlan Fadzli, Abdullah Yassin, Abang Mohammad Nizam Abang Kamaruddin, Mohamed Sukri Mat Ali, and Nurshafinaz Maruai. "Numerical Simulation of Drying Process within a Novel Rotary Drying Machine for Palm Oil Sludge." Journal of Advanced Research in Applied Mechanics 103, no. 1 (2023): 33-42. https://doi.org/10.37934/aram.103.1.3342 DOI: https://doi.org/10.37934/aram.103.1.3342

Asghar, Adnan, Teh Yuan Ying, and Wan Mohd Khairy Adly Wan Zaimi. "Two-dimensional mixed convection and radiative Al2O3-Cu/H2O hybrid nanofluid flow over a vertical exponentially shrinking sheet with partial slip conditions." CFD Letters 14, no. 3 (2022): 22-38. https://doi.org/10.37934/cfdl.14.3.2238 DOI: https://doi.org/10.37934/cfdl.14.3.2238

Chuan, Julius Wang Thye, Mohamad Hidayat Jamal, Mohd Ridza Mohd Haniffah, and Erwan Hafizi Kasiman. "Numerical Modelling of a One-dimensional Dam Break Using a Slope-Limiting Positivity-Preserving Discontinuous Galerkin Method." Journal of Advanced Research in Applied Sciences and Engineering Technology 27, no. 2 (2022): 1-15. https://doi.org/10.37934/araset.27.2.115 DOI: https://doi.org/10.37934/araset.27.2.115

Sajjad, Muhammad, Ali Mujtaba, Adnan Asghar, and Teh Yuan Ying. "Dual solutions of magnetohydrodynamics Al2O3+ Cu hybrid nanofluid over a vertical exponentially shrinking sheet by presences of joule heating and thermal slip condition." CFD Letters 14, no. 8 (2022): 100-115. https://doi.org/10.37934/cfdl.14.8.100115 DOI: https://doi.org/10.37934/cfdl.14.8.100115

Rou, Cheong Jing, Mohd Afzanizam Mohd Rosli, Nurul Izzati Akmal Muhamed Rafaizul, Safarudin Gazali Herawan, Zainal Arifin, and Faridah Hussain. "Numerical Investigation of PV/T System by Using Graphene Based Nanofluids." Journal of Advanced Research in Micro and Nano Engineering 18, no. 1 (2024): 9-31. https://doi.org/10.37934/armne.18.1.931 DOI: https://doi.org/10.37934/armne.18.1.931

Asghar, Adnan, Narcisa Vrinceanu, Teh Yuan Ying, Liaquat Ali Lund, Zahir Shah, and Vineet Tirth. "Dual solutions of convective rotating flow of three-dimensional hybrid nanofluid across the linear stretching/shrinking sheet." Alexandria Engineering Journal 75 (2023): 297-312. https://doi.org/10.1016/j.aej.2023.05.089 DOI: https://doi.org/10.1016/j.aej.2023.05.089

Lund, Liaquat Ali, Zurni Omar, Jawad Raza, and Ilyas Khan. "Magnetohydrodynamic flow of Cu–Fe 3 O 4/H 2 O hybrid nanofluid with effect of viscous dissipation: dual similarity solutions." Journal of Thermal Analysis and Calorimetry 143 (2021): 915-927. https://doi.org/10.1007/s10973-020-09602-1 DOI: https://doi.org/10.1007/s10973-020-09602-1

Jamil, Muhammad, and Najeeb Alam Khan. "Slip effects on fractional viscoelastic fluids." International Journal of Differential Equations 2011 (2011). https://doi.org/10.1155/2011/193813 DOI: https://doi.org/10.1155/2011/193813

Iftikhar, Naheeda, Abdul Rehman, Hina Sadaf, and Saleem Iqbal. "Study of Al2O3/copper–water nanoparticle shape, slip effects, and heat transfer on steady physiological delivery of MHD hybrid nanofluid." Canadian Journal of Physics 97, no. 12 (2019): 1239-1252. https://doi.org/10.1139/cjp-2018-0551 DOI: https://doi.org/10.1139/cjp-2018-0551

Tshivhi, Khodani Sherrif, and Maashutha Samuel Tshehla. "Heat source and radiation effects on MHD flow of Copper-Water nanofluid over exponential stretching surface with slip." Results in Physics 58 (2024): 107463. https://doi.org/10.1016/j.rinp.2024.107463 DOI: https://doi.org/10.1016/j.rinp.2024.107463

Yan, Liang, Sumera Dero, Ilyas Khan, Irshad Ali Mari, Dumitru Baleanu, Kottakkaran Sooppy Nisar, El-Sayed M. Sherif, and Hany S. Abdo. "Dual solutions and stability analysis of magnetized hybrid nanofluid with joule heating and multiple slip conditions." Processes 8, no. 3 (2020): 332. https://doi.org/10.3390/pr8030332 DOI: https://doi.org/10.3390/pr8030332

Asghar, Adnan, Abdul Fattah Chandio, Zahir Shah, Narcisa Vrinceanu, Wejdan Deebani, Meshal Shutaywi, and Liaquat Ali Lund. "Magnetized mixed convection hybrid nanofluid with effect of heat generation/absorption and velocity slip condition." Heliyon 9, no. 2 (2023). https://doi.org/10.1016/j.heliyon.2023.e13189 DOI: https://doi.org/10.1016/j.heliyon.2023.e13189

Zangooee, M. R., Kh Hosseinzadeh, and D. D. Ganji. "Hydrothermal analysis of hybrid nanofluid flow on a vertical plate by considering slip condition." Theoretical and Applied Mechanics Letters 12, no. 5 (2022): 100357. https://doi.org/10.1016/j.taml.2022.100357 DOI: https://doi.org/10.1016/j.taml.2022.100357

Ramzan, Muhammad, Abdullah Dawar, Anwar Saeed, Poom Kumam, Wiboonsak Watthayu, and Wiyada Kumam. "Heat transfer analysis of the mixed convective flow of magnetohydrodynamic hybrid nanofluid past a stretching sheet with velocity and thermal slip conditions." Plos one 16, no. 12 (2021): e0260854. https://doi.org/10.1371/journal.pone.0260854 DOI: https://doi.org/10.1371/journal.pone.0260854

Mahmood, Zafar, Khadija Rafique, Umar Khan, Magda Abd El-Rahman, and Rabab Alharbi. "Analysis of mixed convective stagnation point flow of hybrid nanofluid over sheet with variable thermal conductivity and slip Conditions: A Model-Based study." International Journal of Heat and Fluid Flow 106 (2024): 109296. https://doi.org/10.1016/j.ijheatfluidflow.2024.109296 DOI: https://doi.org/10.1016/j.ijheatfluidflow.2024.109296

Reddy, Seethi Reddy Reddisekhar, Shaik Jakeer, V. E. Sathishkumar, H. Thameem Basha, and Jaehyuk Cho. "Numerical study of TC4-NiCr/EG+ Water hybrid nanofluid over a porous cylinder with Thompson and Troian slip boundary condition: Artificial neural network model." Case Studies in Thermal Engineering 53 (2024): 103794. https://doi.org/10.1016/j.csite.2023.103794 DOI: https://doi.org/10.1016/j.csite.2023.103794

Hakeem, AK Abdul, Priya S, Ganga Bhose, and Sivasankaran Sivanandam. "Magneto-convective hybrid nanofluid slip flow over a moving inclined thin needle in a Darcy-Forchheimer porous medium with viscous dissipation." International Journal of Numerical Methods for Heat & Fluid Flow 34, no. 1 (2024): 334-352. https://doi.org/10.1108/HFF-04-2023-0200 DOI: https://doi.org/10.1108/HFF-04-2023-0200

Teh, Yuan Ying, and Adnan Ashgar. "Three dimensional MHD hybrid nanofluid Flow with rotating stretching/shrinking sheet and Joule heating." CFD Letters 13, no. 8 (2021): 1-19. https://doi.org/10.37934/cfdl.13.8.119 DOI: https://doi.org/10.37934/cfdl.13.8.119

Lund, Liaquat Ali, Zurni Omar, Ilyas Khan, and El-Sayed M. Sherif. "Dual solutions and stability analysis of a hybrid nanofluid over a stretching/shrinking sheet executing MHD flow." Symmetry 12, no. 2 (2020): 276. https://doi.org/10.3390/sym12020276 DOI: https://doi.org/10.3390/sym12020276

Alzabut, Jehad, Sohail Nadeem, Sumaira Noor, and Sayed M. Eldin. "Numerical analysis of Magnetohydrodynamic convection heat flow in an enclosure." Results in Physics 51 (2023): 106618. https://doi.org/10.1016/j.rinp.2023.106618 DOI: https://doi.org/10.1016/j.rinp.2023.106618

Farooq, Umer, Ahmed Jan, Shreefa O. Hilali, Mohammed Alhagyan, and Ameni Gargouri. "Bioconvection study of MHD hybrid nanofluid flow along a linear stretching sheet with Buoyancy effects: Local Non-Similarity Method." International Journal of Heat and Fluid Flow 107 (2024): 109350. https://doi.org/10.1016/j.ijheatfluidflow.2024.109350 DOI: https://doi.org/10.1016/j.ijheatfluidflow.2024.109350

Asghar, Adnan, Liaquat Ali Lund, Zahir Shah, Narcisa Vrinceanu, Wejdan Deebani, and Meshal Shutaywi. "Effect of thermal radiation on three-dimensional magnetized rotating flow of a hybrid nanofluid." Nanomaterials 12, no. 9 (2022): 1566. https://doi.org/10.3390/nano12091566 DOI: https://doi.org/10.3390/nano12091566

Kumar, A., Sharma, B. K., Bin-Mohsen, B., & Fernandez-Gamiz, U. (2024). Statistical analysis of radiative solar trough collectors for MHD Jeffrey hybrid nanofluid flow with gyrotactic microorganism: entropy generation optimization. International Journal of Numerical Methods for Heat & Fluid Flow. https://doi.org/10.1108/HFF-06-2023-0351 DOI: https://doi.org/10.1108/HFF-06-2023-0351

Soomro, Azhar Mustafa, Liaquat Ali Lund, Adnan Asghar, Ebenezer Bonyah, Zahir Shah, and Hakim AL Garalleh. "Magnetized Casson SA-hybrid nanofluid flow over a permeable moving surface with stability analysis." International Journal of Thermofluids 21 (2024): 100555. https://doi.org/10.1016/j.ijft.2023.100555 DOI: https://doi.org/10.1016/j.ijft.2023.100555

Shah, Zahir, Adnan Asghar, Teh Yuan Ying, Liaquat Ali Lund, Ahmed Alshehri, and Narcisa Vrinceanu. "Numerical investigation of sodium alginate-alumina/copper radiative hybrid nanofluid flow over a power law stretching/shrinking sheet with suction effect: a study of dual solutions." Results in Engineering 21 (2024): 101881. https://doi.org/10.1016/j.rineng.2024.101881 DOI: https://doi.org/10.1016/j.rineng.2024.101881

Lund, Liaquat Ali, Ubaidullah Yashkun, and Nehad Ali Shah. "Magnetohydrodynamics streamwise and cross flow of hybrid nanofluid along the viscous dissipation effect: Duality and stability." Physics of Fluids 35, no. 2 (2023). https://doi.org/10.1063/5.0135361 DOI: https://doi.org/10.1063/5.0135361

Yashkun, Ubaidullah, Khairy Zaimi, Anuar Ishak, Ioan Pop, and Rabeb Sidaoui. "Hybrid nanofluid flow through an exponentially stretching/shrinking sheet with mixed convection and Joule heating." International Journal of Numerical Methods for Heat & Fluid Flow 31, no. 6 (2021): 1930-1950. https://doi.org/10.1108/HFF-07-2020-0423 DOI: https://doi.org/10.1108/HFF-07-2020-0423

Hossain, Anwar, and Rama Subba Reddy Gorla. "Joule heating effect on magnetohydrodynamic mixed convection boundary layer flow with variable electrical conductivity." International Journal of Numerical Methods for Heat & Fluid Flow 23, no. 2 (2013): 275-288. https://doi.org/10.1108/09615531311293461 DOI: https://doi.org/10.1108/09615531311293461

Hayat, Tasawar, Shafqat Ali, Muhammad Awais, and Ahmed Alsaedi. "JOULE HEATING EFFECTS IN MHD FLOW OF BURGERS'FLUID." Heat Transfer Research 47, no. 12 (2016). https://doi.org/10.1615/HeatTransRes.2016008093 DOI: https://doi.org/10.1615/HeatTransRes.2016008093

Khashi'ie, Najiyah Safwa, Norihan Md Arifin, Roslinda Nazar, Ezad Hafidz Hafidzuddin, Nadihah Wahi, and Ioan Pop. "Magnetohydrodynamics (MHD) axisymmetric flow and heat transfer of a hybrid nanofluid past a radially permeable stretching/shrinking sheet with Joule heating." Chinese Journal of Physics 64 (2020): 251-263. https://doi.org/10.1016/j.cjph.2019.11.008 DOI: https://doi.org/10.1016/j.cjph.2019.11.008

Shoaib, Muhammad, Muhammad Asif Zahoor Raja, Muhammad Touseef Sabir, Muhammad Awais, Saeed Islam, Zahir Shah, and Poom Kumam. "Numerical analysis of 3-D MHD hybrid nanofluid over a rotational disk in presence of thermal radiation with Joule heating and viscous dissipation effects using Lobatto IIIA technique." Alexandria Engineering Journal 60, no. 4 (2021): 3605-3619. https://doi.org/10.1016/j.aej.2021.02.015 DOI: https://doi.org/10.1016/j.aej.2021.02.015

Chandrakala, P. "Effect of Heat and Mass Transfer over Mixed Convective Hybrid Nanofluids past an Exponentially Stretching Sheet." CFD Letters 16, no. 3 (2024): 125-140. https://doi.org/10.37934/cfdl.16.3.125140 DOI: https://doi.org/10.37934/cfdl.16.3.125140

Lund, Liaquat Ali, Adnan Asghar, Ghulam Rasool, and Ubaidullah Yashkun. "Magnetized casson SA-hybrid nanofluid flow over a permeable moving surface with thermal radiation and Joule heating effect." Case Studies in Thermal Engineering 50 (2023): 103510. https://doi.org/10.1016/j.csite.2023.103510 DOI: https://doi.org/10.1016/j.csite.2023.103510

Madiha Takreem, Kottur, and Panyam Venkata Satya Narayana. "Impacts of Joule heating and dissipation on magnetohydrodynamic ternary-hybrid nanofluid (A l 2 O 3-T i O 2-S i O 2/H 2 O) flow over an elongated sheet with Darcy–Forchheimer medium." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering (2023): 09544089231200381. https://doi.org/10.1177/09544089231200381 DOI: https://doi.org/10.1177/09544089231200381

Bhaskar, Kajal, Kalpna Sharma, and Khushbu Bhaskar. "MHD Squeezed Radiative Flow of Casson Hybrid Nanofluid Between Parallel Plates with Joule Heating." International Journal of Applied and Computational Mathematics 10, no. 2 (2024): 1-23. https://doi.org/10.1007/s40819-024-01720-w DOI: https://doi.org/10.1007/s40819-024-01720-w

Shamshuddin, M. D., Isaac Lare Animasaun, Sulyman Olakunle Salawu, and Pudi Srinivasa Rao. "Dynamics of ethylene glycol conveying MWCNTs and ethylene glycol conveying SWCNTs: Significant joule heating and thermal radiation." Numerical Heat Transfer, Part A: Applications 85, no. 7 (2024): 1022-1041. https://doi.org/10.1080/10407782.2023.2195130 DOI: https://doi.org/10.1080/10407782.2023.2195130

Waini, Iskandar, Anuar Ishak, and Ioan Pop. "Hybrid nanofluid flow and heat transfer over a nonlinear permeable stretching/shrinking surface." International Journal of Numerical Methods for Heat & Fluid Flow 29, no. 9 (2019): 3110-3127. https://doi.org/10.1108/HFF-01-2019-0057 DOI: https://doi.org/10.1108/HFF-01-2019-0057

Tiwari, Raj Kamal, and Manab Kumar Das. "Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids." International Journal of heat and Mass transfer 50, no. 9-10 (2007): 2002-2018. https://doi.org/10.1016/j.ijheatmasstransfer.2006.09.034 DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2006.09.034

A’isyah Jaafar, Waini Iskandar, Anuar Jamaludin, Roslinda Nazar, and Ioan Pop. "MHD flow and heat transfer of a hybrid nanofluid past a nonlinear surface stretching/shrinking with effects of thermal radiation and suction." Chinese Journal of Physics 79 (2022): 13-27. https://doi.org/10.1016/j.cjph.2022.06.026 DOI: https://doi.org/10.1016/j.cjph.2022.06.026

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2024-10-31

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