Magnetohydrodynamic Effects in Mixed Convection Copper-Water Nano Fluid Flow at Lower Stagnation Point on a Sliced Sphere
DOI:
https://doi.org/10.37934/cfdl.13.12.2131Keywords:
Magnetohydrodynamic, magnetic sliced sphere, mix convection, viscous fluid, Keller-Box schemeAbstract
The study of simulation and applications of mathematics in fluid dynamics continues to grow along with the development of computer science and technology. One of them is Magnetohydrodynamics (MHD) which is closely related to its implementation in engineering and industry. And given the importance of magnetic fluid flow has attracted researchers to study and explore its benefits and uses in the industrial field, especially in convective flow and heat transfer processes. This paper therefore considers mathematical modeling on mixed convection MHD viscous fluid flow on the lower stagnation point of a magnetic sliced sphere. The study began with transforming the governing equations which are in dimensional partial differential equations to non-dimensional ordinary differential equations by using the similarity variable. The resulting similarity equations are then solved by the Keller-Box scheme. The characteristics and effects of the Prandtl number, the sliced angle, the magnetic parameter, and the mixed convection parameter are analyzed and discussed. The results depicted that the uniform magnetic field produced by Lorentz force and slicing on the sphere act as determining factors for the trend of nano fluid movement and controlling the cooling rate of the sphere surface. In addition, the viscosity depends on the copper particle volume fraction.
References
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." CFD Letter 11, no. 2 (2019): 21- 31.
Alkasasbeh, Hamzeh TS. "Numerical solution for convective boundary layer flow over a solid sphere of newtonian and non-newtonian fluid." University Malaysia Pahang (2015).
Widodo, Basuki, Maulidyani Abu, and Chairul Imron. "Unsteady nano fluid flow through magnetic porous sphere under the influence of mixed convection." In Journal of Physics: Conference Series, vol. 1153, no. 1, p. 012053. IOP Publishing, 2019. https://doi.org/10.1088/1742-6596/1153/1/012053
Juliyanto, Bagus, Basuki Widodo, and Chairul Imron. "The effect of heat generation on mixed convection flow in nano fluids over a horizontal circular cylinder." In Journal of Physics: Conference Series, vol. 1008, no. 1, p. 012001. IOP Publishing, 2018. https://doi.org/10.1088/1742-6596/1008/1/012001
Macha, Madhu, Kishan Naikoti, and Ali J. Chamkha. "MHD flow of a non-Newtonian nanofluid over a non-linearly stretching sheet in the presence of thermal radiation with heat source/sink." Engineering Computations (2016). https://doi.org/10.1108/EC-06-2015-0174
Madhu, Macha, Naikoti Kishan, and A. Chamkha. "Boundary layer flow and heat transfer of a non-Newtonian nanofluid over a non-linearly stretching sheet." International Journal of Numerical Methods for Heat & Fluid Flow (2016). https://doi.org/10.1108/HFF-02-2015-0066
Madhu, Macha, Naikoti Kishan, and Ali J. Chamkha. "Unsteady flow of a Maxwell nanofluid over a stretching surface in the presence of magnetohydrodynamic and thermal radiation effects." Propulsion and Power research 6, no. 1 (2017): 31-40. https://doi.org/10.1016/j.jppr.2017.01.002
Reddy, C. Srinivas, N. Kishan, and Macha Madhu. "Finite element analysis of Eyring–Powell nano fluid over an exponential stretching sheet." International Journal of Applied and Computational Mathematics 4, no. 1 (2018): 1-13. https://doi.org/10.1007/s40819-017-0438-x
Madhu, Macha, and Naikoti Kishan. "Finite element analysis of MHD viscoelastic nanofluid flow over a stretching sheet with radiation." Procedia Engineering 127 (2015): 432-439. https://doi.org/10.1016/j.proeng.2015.11.393
Madhu, Macha, and Naikoti Kishan. "MHD flow and heat transfer of Casson nanofluid over a wedge." Mechanics & Industry 18, no. 2 (2017): 210. https://doi.org/10.1051/meca/2016030
Mohamed, Muhammad Khairul Anuar, Huei Ruey Ong, Mohd Zuki Salleh, and Basuki Widodo. "Mixed convection boundary layer flow of engine oil nanofluid on a vertical flat plate with viscous dissipation." Asean Journal of Automotive Technology 1, no. 1 (2019): 29-38.
Ismail, M. A., N. F. Mohamad, M. R. Ilias, and S. Shafie. "MHD Effect on Unsteady Mixed Convection Boundary Layer Flow past a Circular Cylinder with Constant Wall Temperature." In Journal of Physics: Conference Series, vol. 890, no. 1, p. 012054. IOP Publishing, 2017. https://doi.org/10.1088/1742-6596/890/1/012054
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., IL (United States), 1995.
Nadeem, S., Z. Ahmed, and S. Saleem. "The effect of variable viscosities on micropolar flow of two nanofluids." Zeitschrift für Naturforschung A 71, no. 12 (2016): 1121-1129. https://doi.org/10.1515/zna-2015-0491
Widodo, Basuki, Lutfi Mardianto, and Dieky Adzkiya. "Numerical investigation on magnetohydrodynamics mixed convection flow past a magnetic sphere." In Journal of Physics: Conference Series, vol. 1153, no. 1, p. 012059. IOP Publishing, 2019. https://doi.org/10.1088/1742-6596/1153/1/012059
Widodo, B., I. Anggriani, and C. Imron. "The Characterization Of Boundary Layer Flow in The Magnetohydrodynamic Micropolar Fluid Past A Solid Sphere." International Journal of Advances in Science Engineering and Technology, ISSN (2016): 2321-9009.
Blas, Nikki, and Guido David. "Dynamical roguing model for controlling the spread of tungro virus via Nephotettix Virescens in a rice field." In Journal of Physics: Conference Series, vol. 893, no. 1, p. 012018. IOP Publishing, 2017. https://doi.org/10.1088/1742-6596/893/1/012018
Nugraha, A. S., B. Widodo, and C. Imron. "Unsteady magnetohydrodynamics of viscous fluid past a magnetic sliced sphere." In AIP Conference Proceedings, vol. 2242, no. 1, p. 030007. AIP Publishing LLC, 2020. https://doi.org/10.1063/5.0007930
Widodo, B., D. A. Khalimah, F. D. S. Zainal, and C. Imron. "The effect of Prandtl number and magnetic parameter on forced convection unsteady magnetohydrodynamics boundary layer flow of a viscous fluid past a sphere." In International Conference on Science and Innovative Engineering (ICSIE). 2015.
Kuznetsov, A. V., and D. A. Nield. "Natural convective boundary-layer flow of a nanofluid past a vertical plate: A revised model." International journal of thermal sciences 77 (2014): 126-129. https://doi.org/10.1016/j.ijthermalsci.2013.10.007
Mutuku-Njane, Winifred Nduku, and Oluwole Daniel Makinde. "Combined effect of Buoyancy force and Navier slip on MHD flow of a nanofluid over a convectively heated vertical porous plate." The Scientific World Journal 2013 (2013). https://doi.org/10.1155/2013/725643
Kho, Yap Bing, Rahimah Jusoh, Mohd Zuki Salleh, Muhammad Khairul Anuar Mohamed, Zulkhibri Ismail, and Rohana Abdul Hamid. "Inclusion of Viscous Dissipation on the Boundary Layer Flow of Cu-TiO2 Hybrid Nanofluid over Stretching/Shrinking Sheet." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 88, no. 2 (2021): 64-79. https://doi.org/10.37934/arfmts.88.2.6479
Ismail, Mohamad Alif, Nurul Farahain Mohammad, and Sharidan Shafie. "Separation time analysis of transient magnetohydrodynamic mixed convection flow of nanofluid at lower stagnation point past a sphere." Malaysian Journal of Fundamental and Applied Sciences 13, no. 3 (2017): 151-154. https://doi.org/10.11113/mjfas.v13n3.637
Salleh, M. Z., R. Nazar, and I. Pop. "Mixed convection boundary layer flow from a solid sphere with Newtonian heating in a micropolar fluid." SRX Physics 2010 (2010). https://doi.org/10.3814/2010/736039
Thirupathi, Gurrala, Kamatam Govardhan, and Ganji Narender. "Radiative Magnetohydrodynamics Casson Nanofluid Flow and Heat and Mass Transfer past on Nonlinear Stretching Surface." Beilstein Archives 2021, no. 1 (2021): 65. https://doi.org/10.3762/bxiv.2021.65.v1
