The Effects of an Aligned Magnetic Field on Nanofluid Flow with Newtonian Heating

Authors

  • Afifah Ahmad Norani Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • Lim Yeou Jiann Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • Mohamad Hidayad Ahmad Kamal Mathematical Science Studies, Collage of Computing, Information and Mathematics, Universiti Teknologi MARA, Perak Branch Tapah Campus, Perak, Malaysia
  • Sharidan Shafie Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • Noraihan Afiqah Rawi Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia

DOI:

https://doi.org/10.37934/cfdl.16.4.111119

Keywords:

Nanofluid flow, aligned magnetic field, numerical solution

Abstract

Magnetic field involvement can influence heat absorption in electrically conducting fluid flow, which is useful in the control of features of final products in industries such as radiation therapy, aeronautics, and MHD generators. Consequently, this study investigates the effect of an aligned magnetic field on nanofluid flow over a stretching sheet with the boundary condition of Newtonian heating. Steady nanofluid flow with copper as chosen nanoparticles and water as conventional base fluid is considered. The problem is governed by a system of nonlinear boundary layer equations with appropriate boundary conditions which are then transformed into non-dimensionless equations using an appropriate similarity transformation. A numerical approach known as Keller-Box method is used to solve the transformed governing equations. The numerical solutions obtained are presented graphically in the form of velocity and temperature profiles for different values of aligned angle of magnetic field, Newtonian heating parameter, Prandtl number and nanoparticles volume fraction. A significant increase in aligned angle results in a decrease in fluid velocity, but an increase in temperature profile of nanofluid flow. The increment in the Newtonian heating parameter as well as the nanoparticle volume fraction also causes the temperature to increase.

Author Biography

Noraihan Afiqah Rawi, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia

noraihanafiqah@utm.my

References

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.

Imtiaz, Maria, T. Hayat, Majid Hussain, S. A. Shehzad, G. Q. Chen, and B. Ahmad. "Mixed convection flow of nanofluid with Newtonian heating." The European physical journal plus 129 (2014): 1-11. https://doi.org/10.1140/epjp/i2014-14097-y

Mabood, F., S. M. Ibrahim, P. V. Kumar, and W. A. Khan. "Viscous dissipation effects on unsteady mixed convective stagnation point flow using Tiwari-Das nanofluid model." Results in Physics 7 (2017): 280-287. https://doi.org/10.1016/j.rinp.2016.12.037

Dzulkifli, Nor Fadhilah, Norfifah Bachok, Nor Azizah Yacob, Norihan Md Arifin, and Haliza Rosali. "Unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet in nanofluid with slip velocity effect: A stability analysis." Applied Sciences 8, no. 11 (2018): 2172. https://doi.org/10.3390/app8112172

Dutta, Subhasree, Somnath Bhattacharyya, and Ioan Pop. "Nonhomogeneous model for conjugate mixed convection of nanofluid and entropy generation in an enclosure in presence of inclined magnetic field with Joule heating." International Journal of Numerical Methods for Heat & Fluid Flow 31, no. 1 (2021): 418-441. https://doi.org/10.1108/HFF-03-2020-0166

Rubaa’i, Afifah Filza Ahmad, Lim Yeou Jiann, Sharidan Shafie, and Anati Ali. "Hybrid Nanofluid on Mixed Convection Flow Past a Stretching Sheet with Irregular Heat Source/Sink." CFD Letters 14, no. 12 (2022): 75-83. https://doi.org/10.37934/cfdl.14.12.7583

Low, Euwing, Syahira Mansur, Yaan Yee Choy, and Eugene Low. "Flow and heat transfer of MHD dusty nanofluid toward moving plate with convective boundary condition." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 89, no. 2 (2022): 43-55. https://doi.org/10.37934/arfmts.89.2.4355

Udhayakumar, Selvarasu, Alexander Daisy Abin Rejeesh, Tatavarthy Venkata Satya Sekhar, and Rajagopalan Sivakumar. "Numerical investigation of magnetohydrodynamic mixed convection over an isothermal circular cylinder in presence of an aligned magnetic field." International Journal of Heat and Mass Transfer 95 (2016): 379-392. https://doi.org/10.1016/j.ijheatmasstransfer.2015.11.041

Haq, Rizwan Ul, Irfan Rashid, and Z. H. Khan. "Effects of aligned magnetic field and CNTs in two different base fluids over a moving slip surface." Journal of Molecular Liquids 243 (2017): 682-688. https://doi.org/10.1016/j.molliq.2017.08.084

Ullah, Imran, Sharidan Shafie, and Ilyas Khan. "Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous medium." Journal of King Saud University-Science 29, no. 2 (2017): 250-259. https://doi.org/10.1016/j.jksus.2016.05.003

Ashwinkumar, G. P., C. Sulochana, and S. P. Samrat. "Effect of the aligned magnetic field on the boundary layer analysis of magnetic-nanofluid over a semi-infinite vertical plate with ferrous nanoparticles." Multidiscipline Modeling in Materials and Structures 14, no. 3 (2018): 497-515. https://doi.org/10.1108/MMMS-10-2017-0128

Khan, M. Riaz, Mingxia Li, Shipeng Mao, Rashid Ali, and Suliman Khan. "Comparative study on heat transfer and friction drag in the flow of various hybrid nanofluids effected by aligned magnetic field and nonlinear radiation." Scientific Reports 11, no. 1 (2021): 3691. https://doi.org/10.1038/s41598-021-81581-1

Kumar, K. Ganesh, H. J. Lokesh, Sabir A. Shehzad, and Tehmina Ambreen. "On analysis of Blasius and Rayleigh–Stokes hybrid nanofluid flow under aligned magnetic field." Journal of Thermal Analysis and Calorimetry 139 (2020): 2119-2127. https://doi.org/10.1007/s10973-019-08576-z

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.

Kamran, Muhammad, and Benchawan Wiwatanapataphee. "Chemical reaction and Newtonian heating effects on steady convection flow of a micropolar fluid with second order slip at the boundary." European Journal of Mechanics-B/Fluids 71 (2018): 138-150. http://doi.org/10.1016/j.euromechflu.2018.04.005

Kumar, Dileep. "Radiation effect on magnetohydrodynamic flow with induced magnetic field and Newtonian heating/cooling: an analytic approach." Propulsion and Power Research 10, no. 3 (2021): 303-313. https://doi.org/10.1016/j.jppr.2021.07.001

Habib, Nor Aini Naili Noor, Nur Syamilah Arifin, Syazwani Mohd Zokri, and Abdul Rahman Mohd Kasim. "Aligned MHD Jeffrey Fluid Flow Containing Carbon Nanoparticles over Exponential Stretching Sheet with Viscous Dissipation and Newtonian Heating Effects." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 106, no. 1 (2023): 104-115. https://doi.org/10.37934/arfmts.106.1.104115

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

Arifin, Nur Syamilah, Syazwani Mohd Zokri, Abdul Rahman Mohd Kasim, Mohd Zuki Salleh, and Nurul Farhain Mohammad. "Numerical solutions of the aligned magnetic field on the boundary layer flow and heat transfer over a stretching sheet by using Keller-box method." In The National Conference for Postgraduate Research, pp. 266-274. 2016.

Swalmeh, Mohammed Zaki. "Numerical solutions of hybrid nanofluids flow via free convection over a solid sphere." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 83, no. 1 (2021): 34-45. https://doi.org/10.37934/arfmts.83.1.3445

Rawi, Noraihan Afiqah, Mohd Rijal Ilias, Lim Yeou Jiann, Zaiton Mat Isa, and Sharidan Shafie. "The effect of copper nanoparticles on mixed convection flow of jeffrey fluid induced by g-jitter." Journal of Nanofluids 7, no. 1 (2018): 156-162. https://doi.org/10.1166/jon.2018.1433

Khanafer, Khalil, and Kambiz Vafai. "A critical synthesis of thermophysical characteristics of nanofluids." In Nanotechnology and energy, pp. 279-332. Jenny Stanford Publishing, 2017.

Malik, M. Y., Mair Khan, T. Salahuddin, and Imad Khan. "Variable viscosity and MHD flow in Casson fluid with Cattaneo–Christov heat flux model: Using Keller box method." Engineering Science and Technology, an International Journal 19, no. 4 (2016): 1985-1992. https://doi.org/10.1016/j.jestch.2016.06.008

Singh, Khilap, Alok Kumar Pandey, and Manoj Kumar. "Numerical solution of micropolar fluid flow via stretchable surface with chemical reaction and melting heat transfer using Keller-Box method." Propulsion and Power Research 10, no. 2 (2021): 194-207. https://doi.org/10.1016/j.jppr.2020.11.006

Manzoor, Umair, Syed Muhammad Raza Shah Naqvi, Taseer Muhammad, Hamzah Naeem, Hassan Waqas, and Ahmed M. Galal. "Hydro-magnetic impact on the nanofluid flow over stretching/shrinking sheet using Keller-box method." International Communications in Heat and Mass Transfer 135 (2022): 106114. https://doi.org/10.1016/j.icheatmasstransfer.2022.106114

Kasim, A. R. M., N. S. Arifin, S. M. Zokri, and M. Z. Salleh. "Flow and heat transfer of aligned magnetic field with Newtonian heating boundary condition." In MATEC Web of Conferences, vol. 189, p. 01005. EDP Sciences, 2018. https://doi.org/10.1051/matecconf/201818901005

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Published

2024-01-04

How to Cite

Afifah Ahmad Norani, Lim Yeou Jiann, Mohamad Hidayad Ahmad Kamal, Sharidan Shafie, & Noraihan Afiqah Rawi. (2024). The Effects of an Aligned Magnetic Field on Nanofluid Flow with Newtonian Heating. CFD Letters, 16(4), 111–119. https://doi.org/10.37934/cfdl.16.4.111119

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