10.30495/ijm2c.2022.1930541.1212

EMDH Flow of Carbon-Based Nanofluids over a Plane Sheet with Rotation and Soret Effect

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  • Aetdene Wilson*1,
  • Rabiu Musah2,
  • Kwara Nantomah1,
  • Etwire Christian1,
  1. Department of Mathematics, CK Tedam University of Technology and Applied Sciences, School of Mathemaical sciences, Navrongo
  2. Department of Physics, University for Development Studies, School of Engineering, Nyanpkala Campus

Received: 15-05-2021

Accepted: 19-02-2022

Published in Issue 15-06-2022

Copyright (c) 2024 International Journal of Mathematical Modeling & Computations

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Wilson, A., Musah, R., Nantomah, K., & Christian, E. (2022). EMDH Flow of Carbon-Based Nanofluids over a Plane Sheet with Rotation and Soret Effect. International Journal of Mathematical Modelling & Computations, 12(2), 89-100. https://doi.org/10.30495/ijm2c.2022.1930541.1212
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Abstract

In this paper, Electro-Magneto-Hydrodynamic flow of carbon-based nanofluids over a plane sheet is investigated. Carbon nanotubes, graphene and graphite nanon- particles are considered with water as the base fluid. The governing equations formulated for the nanofluids are reduced to nonlinear ordinary differential equations by using similarity transformations. The coupled nonlinear equations are solved numerically by forth order Runge-Kutta method coupled with shooting techique. The numerical results obtained for the skin friction coefficient, nusselt number and sherwood number, as well as the velocity, temperature and concentration profiles for different values of various parameters demonstrate good agreement with literature. The enhanced thermal transport in graphene makes it a good coolant as compared to carbon nanotubes and graphite nanofluids.
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References

  1. N. Ali, A. M. Bahman, N. F. Aljuwayhel, S. A. Ebrahim, S. Mukherjee and A. Alsayegh, CarbonBased Nanofluids and Their Advances towards Heat Transfer Applications – A Review, Nanomaterials, 11 (6) (2021), 1628, doi:10.3390/nano11061628.
  2. R. Azizian, Nanofluids in Electronics Cooling Applications, Advanced Thermal Solutions, Inc., Norwood, MA, (2017).
  3. J. A. Baylis and J. C. R. Hunt, MHD flow in an annular channel; theory and experiment, Journal
  4. of Fluid Mechanics, 48 (3) (1971) 423–428.
  5. A. Berm´udez, D. G´omez, M. Mu¯niz, P. Salgado and R. Vazquez, Numerical simulation of a thermoelectromagneto-hydrodynamic problem in an induction heating furnace, Applied Numerical Mathematics, 59 (9) (2009) 2082–2104.
  6. M. Bilal, Micropolar flow of EMHD nanofluid with nonlinear thermal radiation and slip effects,
  7. Alexandria Engineering Journal, 59 (2) (2020) 965–976.
  8. S. U. S. Choi and J. A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles,
  9. Argonne National Lab., Illinois, United States, (1995).
  10. Y. S. Daniel, Z. A. Aziz, Z. Ismail and F. Salah, Impact of thermal radiation on electrical MHD ow
  11. of nanouid over nonlinear stretching sheet with variable thickness, Alexandria Engineering Journal,
  12. (3) (2018) 2187–2197.
  13. S. K. Das, S. U. Choi and H. E. Patel, Heat transfer in nanofluids – A review, Heat Transfer
  14. Engineering, 27 (10) (2006) 3–19.
  15. S. K. Das, S. U. Choi, W. Yu and T. Pradeep, Nanofluids: Science and Technology, John Wiley and
  16. Sons, (2007).
  17. A. Dawar, Z. Shah, W. Khan, M. Idrees and S. Islam, Unsteady squeezing ow of magnetohydrodynamic carbon nanotube nanouid in rotating channels with entropy generation and viscous dissipation,
  18. Advances in Mechanical Engineering, 11 (1) (2019), doi:10.1177/1687814018823100.
  19. R. U. Haq, F. Shahzad and Q. M. Al-Mdallal, MHD pulsatile flow of engine oil based carbon
  20. nanotubes between two concentric cylinders, Results in Physics, 7 (2017) 57–68.
  21. T. Hayat, F. Haider, T. Muhammad and A. Alsaedi, Three-dimensional rotating ow of carbon nanotubes with darcy-forchheimer porous medium, PLOS ONE, 12 (7) (2017), e0179576,
  22. doi:10.1371/journal.pone.0179576.
  23. S. Muhammad, G. Ali, Z. Shah, S. Islam and S. A. Hussain, The rotating ow of magneto hydrodynamic carbon nanotubes over a stretching sheet with the impact of non-linear thermal radiation and
  24. heat generation/absorption, Applied Sciences, 8 (4) (2018), 482, doi:10.3390/app8040482.
  25. M. Mustafa, Cattaneo-christov heat ux model for rotating ow and heat transfer of upper-convected
  26. maxwell uid, AIP Advances, 5 (4) (2015) 047109, doi:10.1063/1.4917306.
  27. M. Ramzan, S. Inam and S. Shehzad, Three dimensional boundary layer ow of a viscoelastic nanouid
  28. with soret and dufour effects, Alexandria Engineering Journal, 55 (1) (2016) 311–319.
  29. A. Raptis, C. Perdikis and H. S. Takhar, Effect of thermal radiation on MHD flow, Applied Mathematics and Computation, 153 (3) (2004) 645–649.
  30. Z. Shah, E. Bonyah, S. Islam and T. Gul, Impact of thermal radiation on electrical MHD rotating ow of carbon nanotubes over a stretching sheet, AIP Advances, 9 (1) (2019) 015115,
  31. doi:10.1063/1.5048078.
  32. E. M. Sparrow and R. D. Cess, The effect of a magnetic field on free convection heat transfer,
  33. International Journal of Heat and Mass Transfer, 3 (4) (1961) 267–274.
  34. M. M. Tawfik, Experimental studies of nanofluid thermal conductivity enhancement and applications: A review, Renewable and Sustainable Energy Reviews, 75 (2017) 1239–1253.
  35. R. Taylor, S. Coulombe, T. Otanicar, P. Phelan, A. Gunawan, W. Lv, G. Rosengarten, R. Prasher
  36. Y. Yirga and D. Tesfay, Heat and mass transfer in MHD ow of nanouids through a porous media due
  37. to a permeable stretching sheet with viscous dissipation and chemical reaction effects, International
  38. Journal of Mechanical and Mechatronics Engineering, 9 (5) (2015) 709–716.