On the Duality of Unsteady MHD Al2O3-Cu/Water Hybrid Nanofluid Flow over a Stretching/Shrinking Curved Surface with Newtonian Heating

Nur Syazana Anuar; Nurul Liyana Abdul Ghani; Nurul Adilah Liyana Aladdin; Ioan Pop

doi:10.37934/arnht.14.1.91103

Authors

Nur Syazana Anuar School of Mathematical Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia
Nurul Liyana Abdul Ghani School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia
Nurul Adilah Liyana Aladdin Centre for Foundation Defense Studies, Department of Mathematics, Universiti Pertahanan Nasional Malaysia, Kem Sungai Besi, Kuala Lumpur 57000, Malaysia
Ioan Pop Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania

DOI:

https://doi.org/10.37934/arnht.14.1.91103

Keywords:

Curve Surface, Hybrid Nanofluid, MHD, Newtonian Heating, Stretching/Shrinking

Abstract

The notable progress in contemporary engineering technology has prompted a greater emphasis on curved surfaces, due to their wide-ranging utilization in transportation, industrial domains, and electronics. However, additional research is necessary to broaden the scope of applications involving curved surfaces. This study explores the unsteady magnetohydrodynamic (MHD) Copper-Alumina/water hybrid nanofluid flow through a permeable curved stretching/shrinking surface with Newtonian heating applied. Due to the curved nature of the geometry, the present problem is modeled using curvilinear coordinates. The addition of Newtonian heating is due to its vital role in the cooling and heating process for industrial purposes. The partial differential equations (PDEs) of the fluid flow will be reduced through a similarity transformation to ordinary differential equations (ODEs). A numerical solution is obtained by resolving the equations of continuity, momentum, and energy using the bvp4c solver in MATLAB. Furthermore, a comprehensive graphical analysis is conducted to examine the impacts of various physical parameters on the velocity and temperature profiles as well as Local Nusselt number and skin friction. These include the parameters on suction, magnetic, Newtonian heating, nanoparticle volume fraction, and stretch/shrink parameters. By systematically varying these parameters, a dual solution was noticed on the graphs while observing their influence on the flow and heat transfer characteristics. The results show that the range of solutions has expanded with an increase in copper volume fraction and magnetic parameters. A shrinking sheet exhibits greater skin friction when the value of copper and magnetic parameters is increased. In the meantime, the stretching sheet portrayed an opposite trend. The local Nusselt number is enhanced with the strengthened magnetic values and Newtonian heating parameters. Besides, the presence of suction is also responsible for a noteworthy decrease in the rate of heat transfer.

Downloads

Download data is not yet available.

Author Biographies

Nur Syazana Anuar, School of Mathematical Sciences, College of Computing, Informatics and Media, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia

nursyazana931@uitm.edu.my

Nurul Liyana Abdul Ghani, School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia

liyanaghani71@gmail.com

Nurul Adilah Liyana Aladdin, Centre for Foundation Defense Studies, Department of Mathematics, Universiti Pertahanan Nasional Malaysia, Kem Sungai Besi, Kuala Lumpur 57000, Malaysia

nuradilah@upnm.edu.my

Ioan Pop, Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania

popm.ioan@yahoo.co.uk

References

Choi, S. U. S., Z. George Zhang, WLockwoodFE Yu, F. E. Lockwood, and E. A. Grulke. "Anomalous thermal conductivity enhancement in nanotube suspensions." Applied physics letters 79, no. 14 (2001): 2252-2254. https://doi.org/10.1063/1.1408272

Suresh, S., K. P. Venkitaraj, P. Selvakumar, and M. Chandrasekar. "Synthesis of Al2O3–Cu/water hybrid nanofluids using two step method and its thermo physical properties." Colloids and Surfaces A: Physicochemical and Engineering Aspects 388, no. 1-3 (2011): 41-48. https://doi.org/10.1016/j.colsurfa.2011.08.005

Momin, Gaffar G. "Experimental investigation of mixed convection with water-Al2O3 & hybrid nanofluid in inclined tube for laminar flow." Int. J. Sci. Technol. Res 2, no. 12 (2013): 195-202.

Subhani, Maryam, and Sohail Nadeem. "Numerical analysis of micropolar hybrid nanofluid." Applied Nanoscience 9, no. 4 (2019): 447-459. https://doi.org/10.1007/s13204-018-0926-2

Elattar, Samia, Maha M. Helmi, Mohamed Abdelghany Elkotb, M. A. El-Shorbagy, Anas Abdelrahman, Muhammad Bilal, and Aatif Ali. "Computational assessment of hybrid nanofluid flow with the influence of hall current and chemical reaction over a slender stretching surface." Alexandria Engineering Journal 61, no. 12 (2022): 10319-10331. https://doi.org/10.1016/j.aej.2022.03.054

Yasir, Muhammad, and Masood Khan. "Comparative analysis for radiative flow of Cu–Ag/blood and Cu/blood nanofluid through porous medium." Journal of Petroleum Science and Engineering 215 (2022): 110650. https://doi.org/10.1016/j.petrol.2022.110650

Aladdin, Nur Adilah Liyana, Norfifah Bachok, Haliza Rosali, Nadihah Wahi, Nor Aliza Abd Rahmin, and Norihan Md Arifin. "Numerical Computation of Hybrid Carbon Nanotubes Flow over a Stretching/Shrinking Vertical Cylinder in Presence of Thermal Radiation and Hydromagnetic." Mathematics 10, no. 19 (2022): 3551. https://doi.org/10.3390/math10193551

Yasir, Muhammad, Masood Khan, A. S. Alqahtani, and M. Y. Malik. "Mass transpiration effect on rotating flow of radiative hybrid nanofluid due to shrinking surface with irregular heat source/sink." Case Studies in Thermal Engineering 44 (2023): 102870. https://doi.org/10.1016/j.csite.2023.102870

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.

Bakar, Shahirah Abu, Norihan Md Arifin, and Ioan Pop. "Mixed Convection Hybrid Nanofluid Flow past a Stagnation-Point Region with Variable Viscosity and Second-Order Slip." Journal of Advanced Research in Micro and Nano Engineering 12, no. 1 (2023): 1-21. https://doi.org/10.37934/armne.12.1.121.

Bachok, Norfifah, Siti Nur Nazurah Tajuddin, Nur Syazana Anuar, and Haliza Rosali. "Numerical Computation of Stagnation Point Flow and Heat Transfer over a Nonlinear Stretching/Shrinking Sheet in Hybrid Nanofluid with Suction/Injection Effects." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 107, no. 1 (2023): 80-86. https://doi.org/10.37934/arfmts.107.1.8086

Fisher, E. G. (1976). Extrusion of plastics. Wiley, New York.

Bachok, Norfifah, Anuar Ishak, and Ioan Pop. "Stagnation-point flow over a stretching/shrinking sheet in a nanofluid." Nanoscale research letters 6 (2011): 1-10.

Zainal, Nurul Amira, Iskandar Waini, Najiyah Safwa Khashi'ie, Abdul Rahman Mohd Kasim, Kohilavani Naganthran, Roslinda Nazar, and Ioan Pop. "Stagnation point hybrid nanofluid flow past a stretching/shrinking sheet driven by Arrhenius kinetics and radiation effect." Alexandria Engineering Journal 68 (2023): 29-38. https://doi.org/10.1016/j.aej.2023.01.005

Maranna, T., K. N. Sneha, U. S. Mahabaleshwar, and Basma Souayeh. "An impact of heat and mass transpiration on magnetohydrodynamic viscoelastic fluid past a permeable stretching/shrinking sheet." Heat Transfer 52, no. 3 (2023): 2231-2248. https://doi.org/10.1002/htj.22782

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

Sneha, K. N., U. S. Mahabaleshwar, and Suvanjan Bhattacharyya. "An effect of thermal radiation on inclined MHD flow in hybrid nanofluids over a stretching/shrinking sheet." Journal of Thermal Analysis and Calorimetry 148, no. 7 (2023): 2961-2975. https://doi.org/10.1007/s10973-022-11552-9

Crane, Lawrence J. "Flow past a stretching plate." Zeitschrift für angewandte Mathematik und Physik ZAMP 21 (1970): 645-647.

Sajid, M., N. Ali, T. Javed, and Z. Abbas. "Stretching a curved surface in a viscous fluid." Chinese Physics Letters 27, no. 2 (2010): 024703. https://doi.org/10.1088/0256-307X/27/2/024703

Abbas, Z., M. Naveed, and M. Sajid. "Heat transfer analysis for stretching flow over a curved surface with magnetic field." Journal of Engineering Thermophysics 22 (2013): 337-345. https://doi.org/10.1134/S1810232813040061

Abbas, Nadeem, Khalil Ur Rehman, Wasfi Shatanawi, and M. Y. Malik. "Numerical study of heat transfer in hybrid nanofluid flow over permeable nonlinear stretching curved surface with thermal slip." International Communications in Heat and Mass Transfer 135 (2022): 106107. https://doi.org/10.1016/j.icheatmasstransfer.2022.106107

Fuzhang, Wang, Muhammad Imran Anwar, Mohsin Ali, A. S. El-Shafay, Nadeem Abbas, and Rifaqat Ali. "Inspections of unsteady micropolar nanofluid model over exponentially stretching curved surface with chemical reaction." Waves in random and complex media (2022): 1-22. https://doi.org/10.1080/17455030.2021.2025280

Hosseinzadeh, Kh, M. R. Mardani, M. Paikar, A. Hasibi, T. Tavangar, M. Nimafar, D. D. Ganji, and Mohammad Behshad Shafii. "Investigation of second grade viscoelastic non-Newtonian nanofluid flow on the curve stretching surface in presence of MHD." Results in Engineering 17 (2023): 100838. https://doi.org/10.1016/j.rineng.2022.100838

Merkin, J. H. "Natural-convection boundary-layer flow on a vertical surface with Newtonian heating." International Journal of Heat and Fluid Flow 15, no. 5 (1994): 392-398. https://doi.org/10.1016/0142-727X(94)90053-1

Hamza, Muhammed Murtala, Abdulsalam Shuaibu, and Ahmad Samaila Kamba. "Unsteady MHD free convection flow of an exothermic fluid in a convectively heated vertical channel filled with porous medium." Scientific Reports 12, no. 1 (2022): 11989. https://doi.org/10.1038/s41598-022-16064-y

Rehman, Khalil Ur, Wasfi Shatanawi, Shazia Ashraf, and Nabeela Kousar. "Numerical analysis of Newtonian heating convective flow by way of two different surfaces." Applied Sciences 12, no. 5 (2022): 2383. https://doi.org/10.3390/app12052383

Ali, Farhad, Gohar Ali, Arshad Khan, Ilyas Khan, Elsayed Tag Eldin, and Matin Ahmad. "Effects of Newtonian heating and heat generation on magnetohydrodynamics dusty fluid flow between two parallel plates." Frontiers in Materials 10 (2023): 1120963. https://doi.org/10.3389/fmats.2023.1120963

Roşca, Natalia C., and Ioan Pop. "Unsteady boundary layer flow over a permeable curved stretching/shrinking surface." European Journal of Mechanics-B/Fluids 51 (2015): 61-67. https://doi.org/10.1016/j.euromechflu.2015.01.001

Naveed, M., Z. Abbas, and M. Sajid. "Hydromagnetic flow over an unsteady curved stretching surface." Engineering Science and Technology, an International Journal 19, no. 2 (2016): 841-845. https://doi.org/10.1016/j.jestch.2015.11.009

Takabi, Behrouz, and Saeed Salehi. "Augmentation of the heat transfer performance of a sinusoidal corrugated enclosure by employing hybrid nanofluid." Advances in Mechanical Engineering 6 (2014): 147059. https://doi.org/10.1155/2014/1470

Oztop, Hakan F., and Eiyad Abu-Nada. "Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids." International journal of heat and fluid flow 29, no. 5 (2008): 1326-1336. https://doi.org/10.1016/j.ijheatfluidflow.2008.04.009

Waini, Iskandar, Anuar Ishak, and Ioan Pop. "Squeezed hybrid nanofluid flow over a permeable sensor surface." Mathematics 8, no. 6 (2020): 898. https://doi.org/10.3390/math8060898

Sarkar, Jahar, Pradyumna Ghosh, and Arjumand Adil. "A review on hybrid nanofluids: recent research, development and applications." Renewable and Sustainable Energy Reviews 43 (2015): 164-177. https://doi.org/10.1016/j.rser.2014.11.023

Khashi'ie, Najiyah Safwa, Norihan Md Arifin, and Ioan Pop. "Magnetohydrodynamics (MHD) boundary layer flow of hybrid nanofluid over a moving plate with Joule heating." Alexandria Engineering Journal 61, no. 3 (2022): 1938-1945. https://doi.org/10.1016/j.aej.2021.07.032