The numerous industrial and engineering applications of Casson nanofluid is due to the superiority of its thermophysical properties. Tomatoes paste, engine oil, soup etc., are examples of Casson fluid and when nanometer-sized particles are suspended in such Casson fluid, it becomes Casson nanofluid. This paper considers a natural convective magnetohydrodynamics flow of Cu-engine oil nanofluid across a convectively heated vertical plate. The effects of self-heating of the fluid (measured by the Eckert number), internal conductive resistance to external convective resistance (measured by the Biot number), magnetic field strength, volume fraction of the nanoparticles on the temperature and velocity of mass and heat transfer of Casson nanofluid is analysed. An appropriate model governing the flow of Casson nanofluid is formulated as a system of nonlinear partial differential equations. The natural convection boundary condition is included. To solve the problem, an appropriate similarity transformation is used to reformulate the system as a system of nonlinear ordinary differential equations. The shooting technique is used to convert the boundary problem to initial value problems before Runge-Kutta method, with the Gills constants, is used to solve the reformulated problem. The results are depicted as graphs. Flow velocity is found to increase as the base fluid becomes more Casson and as nanoparticle volume fraction increases. It is also found that increasing Eckert number, Biot number and magnetic field strength causes an increase in the flow temperature.
| Published in | Fluid Mechanics (Volume 7, Issue 1) |
| DOI | 10.11648/j.fm.20210701.11 |
| Page(s) | 1-8 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Magnetohydrodynamics, Casson Fluid, Nanofluid, Convective Flow
| [1] | Ahmad, I., Sajid, M., Awan, W., Rafique, M., Aziz, W., Ahmed, M., Abbasi, A., and Taj, M. (2014). MHD flow of a viscous fluid over an exponentially stretching sheet in a porous medium. Journal of Applied Mathematics, 2014: 256761. |
| [2] | Ahmad, S., Yousaf, M., Khan, A., and Zaman, G. (2018). Magnetohydrodynamic fluid flow and heat transfer over a shrinking sheet under the influence of thermal slip. Heliyon, 4 (30364604): e00828–e00828. |
| [3] | Bulinda, V. M., Kangethe, G. P., and Kiogora, P. R. (2020). Magnetohydrodynamics free convection flow of incompressible fluids over corrugated vibrating bottom surface with hall currents and heat and mass transfers. Journal of Applied Mathematics, 2020: 2589760. |
| [4] | Chen, W. Z., Yang, Q. S., Dai, M. Q., and Cheng, S. M. (1998). An analytical solution of the heat transfer process during contact melting of phase change material inside a horizontal elliptical tube. International Journal of Energy Research, 22 (2): 131–140. |
| [5] | Farooq, U., Lu, D., Munir, S., Ramzan, M., Suleman, M., and Hussain, S. (2019). MHD flow of Maxwell fluid with nanomaterials due to an exponentially stretching surface. Scientific Reports, 9 (1): 7312. |
| [6] | Gbadeyan, J. A., Titiloye, E. O., and Adeosun, A. T. (2020). Effect of variable thermal conductivity and viscosity on Casson nanofluid flow with convective heating and velocity slip. Heliyon, 6: e03076. |
| [7] | Idowu, A. S., Akolade, M. T., Abubakar, J. U., and Falodun, B. O. (2020). MHD free convective heat and mass transfer flow of dissipative Casson fluid with variable viscosity and thermal conductivity effects. Journal of Taibah University for Science. |
| [8] | Jabeen, K., Mushtaq, M., and Akram, R. M. (2020). Analysis of the MHD boundary layer flow over a nonlinear stretching sheet in a porous medium using semianalytical approaches. Mathematical Problems in Engineering, 2020: 3012854. |
| [9] | Kataria, H. R. and Patel, H. R. (2018). Heat and mass transfer in magnetohydrodynamic (MHD) Casson fluid flow past over an oscillating vertical plate embedded in porous medium with ramped wall temperature. Propulsion and Power Research, 7 (3): 257–267. |
| [10] | Kolenko, T., Glogovac, B., and Jaklic, T. (1999). An analysis of a heat transfer model for situations involving gas and surface radiative heat transfer. Communications in Numerical Methods in Engineering, 15 (5): 349–365. |
| [11] | O. K. Koriko, K. S. Adegbie, A. S. Oke, I. L. Animasaun, (2020). Exploration of Coriolis force on motion of air over the upper horizontal surface of a paraboloid of revolution, Phys. Scr. 95 (3) (2020) 035210, doi: 10.1088/1402-4896/ab4c50. |
| [12] | O. K. Koriko, K. S. Adegbie, A. S. Oke, I. L. Animasaun, (2020a) Corrigendum: exploration of Coriolis force on motion of air over the upper horizontal surface of a paraboloid of revolution, (2020 Phys. Scr. 95 035210), Physica Scripta 95 (11) (2020) 119501, doi: 10.1088/1402-4896/abc19e. |
| [13] | Kumar, B. V. R., Murthy, P. V. S. N., and Singh, P. (1998). Free convection heat transfer from an isothermal wavy surface in a porous enclosure. Int. J. Numer. Meth. Fluids, 28: 633–661. |
| [14] | Mahantesh, N. M., Kemparaju, M. C., and Raveendra, N. (2020). Double-diffusive free convective flow of Casson fluid due to a moving vertical plate with non-linear thermal radiation. World Journal of Engineering, 14 (1): 851–862. |
| [15] | Maiga, S. E. B., Nguyen, C. T., Galanis, N., and Roy, G. (2004). Heat transfer behaviours of nanofluids in a uniformly heated tube. Superlattices Microstructures, 35: 543–557. |
| [16] | Mustafa, M. and Khan, J. A. (2015). Model for flow of Casson nanofluid past a non-linearly stretching sheet considering magnetic field effects. AIP Advances, 5 (077148). |
| [17] | Mutuku, W. N. (2016). Ethylene glycol (EG)-based nanofluids as a coolant for automotive radiator. Asia Pac. J. Comput. Engin. 3 (1). |
| [18] | Mutuku-Njane, W. N. and Makinde, O. D. (2013). 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 Volume, Article ID 725643, 2013. |
| [19] | Nadeem, S., Haq, R. U., Akbar, N. S., and Khan, Z. H. (2013). MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet. Alexandria Engineering Journal, 52 (4): 577–582. |
| [20] | A. S. Oke, W. N. Mutuku, M. Kimathi, I. L. Animasaun, (2020) Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force, Nonlinear Eng. 9 (1) (2020) 398–411, doi: 10.1515/nleng-2020-0025. |
| [21] | A. S. Oke, W. N. Mutuku, M. Kimathi, I. L. Animasaun, (2020a) Coriolis effects on MHD Newtonian flow over a rotating non-uniform surface, Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci. (PIC), in-press (2020a), doi: 10.1177/0954406220969730. |
| [22] | A. S. Oke, I. L. Animasaun, W. N. Mutuku, M. Kimathi, Nehad Ali Shah, S. Saleem, (2021) Significance of Coriolis force, volume fraction, and heat source/sink on the dynamics of water conveying 47 nm alumina nanoparticles over a uniform surface, Chinese Journal of Physics, 2021, ISSN 0577-9073, doi: 10.1016/j.cjph.2021.02.005. |
| [23] | Pak, B. C. and Cho, Y. I. (1998). Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles. Experimental Heat Transfer: A Journal of Thermal Energy Generation, Transport, Storage, and Conversion, 11 (2): 151–170. |
| [24] | Piechowski, M. (1998). Heat and mass transfer model of a ground heat exchanger: validation and sensitivity analysis. International Journal of Energy Research, 22 (11): 965–979. |
| [25] | Pramanik, S. (2014). Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation. Ain Shams Engineering Journal, 5 (1): 205–212. |
| [26] | Saatdjian, E., Lam, R., and Mota, J. P. B. (1999). Natural convection heat transfer in the annular region between porous confocal ellipses. International Journal for Numerical Methods in Fluids, 31 (2): 513–522. |
| [27] | Shah, Z., Kumam, P., and Deebani, W. (2020). Radiative MHD Casson nanofluid flow with activation energy and chemical reaction over past nonlinearly stretching surface through entropy generation. Scientific Reports, 10 (1): 4402. |
| [28] | Venkateswarlu, S., K., V. S. V., and Durga, P. P. (2020). MHD flow of MoS2 and MgO water based nanofluid through porous medium over a stretching surface with cattaneo-christov heat flux model and convective boundary condition. International Journal of Ambient Energy, 0 (0): 1–10. |
| [29] | Wasp, F. J. (1977). Solid-liquid flow slurry pipeline transportation. Trans. Tech. Pub., Berlin. |
| [30] | Xuan, Y. and Roetzel, W. (2000). Conceptions for heat transfer correlation of nanofluids. International Journal of Heat and Mass Transfer, 43 (19): 3701–3707. |
| [31] | Yang, Y.-T., Chen, C.-K., and Chi-Fang (1996). Convective heat transfer from a circular cylinder under the effect of a solid plane wall. International Journal for Numerical Methods in Fluids, 23 (2): 163–176. |
| [32] | Zerroukat, M., Power, H., and Chen, C. S. (1998). A numerical method for heat transfer problems using collocation and radial basis functions. International Journal for Numerical Methods in Engineering, 42 (7): 1263–1278. |
APA Style
John Kinyanjui Kigio, Mutuku Winifred Nduku, Oke Abayomi Samuel. (2021). Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate. Fluid Mechanics, 7(1), 1-8. https://doi.org/10.11648/j.fm.20210701.11
ACS Style
John Kinyanjui Kigio; Mutuku Winifred Nduku; Oke Abayomi Samuel. Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate. Fluid Mech. 2021, 7(1), 1-8. doi: 10.11648/j.fm.20210701.11
AMA Style
John Kinyanjui Kigio, Mutuku Winifred Nduku, Oke Abayomi Samuel. Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate. Fluid Mech. 2021;7(1):1-8. doi: 10.11648/j.fm.20210701.11
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Download@article{10.11648/j.fm.20210701.11,
author = {John Kinyanjui Kigio and Mutuku Winifred Nduku and Oke Abayomi Samuel},
title = {Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate},
journal = {Fluid Mechanics},
volume = {7},
number = {1},
pages = {1-8},
doi = {10.11648/j.fm.20210701.11},
url = {https://doi.org/10.11648/j.fm.20210701.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.fm.20210701.11},
abstract = {The numerous industrial and engineering applications of Casson nanofluid is due to the superiority of its thermophysical properties. Tomatoes paste, engine oil, soup etc., are examples of Casson fluid and when nanometer-sized particles are suspended in such Casson fluid, it becomes Casson nanofluid. This paper considers a natural convective magnetohydrodynamics flow of Cu-engine oil nanofluid across a convectively heated vertical plate. The effects of self-heating of the fluid (measured by the Eckert number), internal conductive resistance to external convective resistance (measured by the Biot number), magnetic field strength, volume fraction of the nanoparticles on the temperature and velocity of mass and heat transfer of Casson nanofluid is analysed. An appropriate model governing the flow of Casson nanofluid is formulated as a system of nonlinear partial differential equations. The natural convection boundary condition is included. To solve the problem, an appropriate similarity transformation is used to reformulate the system as a system of nonlinear ordinary differential equations. The shooting technique is used to convert the boundary problem to initial value problems before Runge-Kutta method, with the Gills constants, is used to solve the reformulated problem. The results are depicted as graphs. Flow velocity is found to increase as the base fluid becomes more Casson and as nanoparticle volume fraction increases. It is also found that increasing Eckert number, Biot number and magnetic field strength causes an increase in the flow temperature.},
year = {2021}
}
TY - JOUR T1 - Analysis of Volume Fraction and Convective Heat Transfer on MHD Casson Nanofluid over a Vertical Plate AU - John Kinyanjui Kigio AU - Mutuku Winifred Nduku AU - Oke Abayomi Samuel Y1 - 2021/05/08 PY - 2021 N1 - https://doi.org/10.11648/j.fm.20210701.11 DO - 10.11648/j.fm.20210701.11 T2 - Fluid Mechanics JF - Fluid Mechanics JO - Fluid Mechanics SP - 1 EP - 8 PB - Science Publishing Group SN - 2575-1816 UR - https://doi.org/10.11648/j.fm.20210701.11 AB - The numerous industrial and engineering applications of Casson nanofluid is due to the superiority of its thermophysical properties. Tomatoes paste, engine oil, soup etc., are examples of Casson fluid and when nanometer-sized particles are suspended in such Casson fluid, it becomes Casson nanofluid. This paper considers a natural convective magnetohydrodynamics flow of Cu-engine oil nanofluid across a convectively heated vertical plate. The effects of self-heating of the fluid (measured by the Eckert number), internal conductive resistance to external convective resistance (measured by the Biot number), magnetic field strength, volume fraction of the nanoparticles on the temperature and velocity of mass and heat transfer of Casson nanofluid is analysed. An appropriate model governing the flow of Casson nanofluid is formulated as a system of nonlinear partial differential equations. The natural convection boundary condition is included. To solve the problem, an appropriate similarity transformation is used to reformulate the system as a system of nonlinear ordinary differential equations. The shooting technique is used to convert the boundary problem to initial value problems before Runge-Kutta method, with the Gills constants, is used to solve the reformulated problem. The results are depicted as graphs. Flow velocity is found to increase as the base fluid becomes more Casson and as nanoparticle volume fraction increases. It is also found that increasing Eckert number, Biot number and magnetic field strength causes an increase in the flow temperature. VL - 7 IS - 1 ER -
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