THERMAL SCIENCE

International Scientific Journal

Z. Iqbal

,

Ehtsham Azhar

,

Zaffar Mehmood

,

Abid Kamran

UNSTEADY TRANSPORT OF MHD MIXED CONVECTION INSPIRED BY THERMAL RADIATION AND PARTIAL SLIP PERFORMANCE: FINITE DIFFERENCE APPROACH

ABSTRACT
Background: In this article mixed convection boundary layer flow of MHD fluid on permeable stretching surface is investigated under the effects of velocity and thermal slip. The physical unsteady problem is examined by considering thermal radiation effects on momentum and thermal boundary-layer flow. Different from available literature, in the present study we consider mix convective flow, thermal radiation, transverse applied magnetic field, velocity, and thermal slip. Methodology: The transform non-linear system of differential equation is tackled numerically by the aid of finite difference scheme named as Keller-Box. Stable solution is correct up to six decimal places and special cases overlaps with the existing results in literature validating the present analysis. Conclusion: It is concluded that mixed convection leads to accelerate fluid-flow and reduce temperature profile. Injection contributes in rising magnitude of velocity and temperature when compared with suction effects. Velocity and thermal slip parameter influence in lowering fluid-flow while temperature profile decrease for velocity slip parameter and opposite trend is witness corresponding to thermal slip parameter. Both velocity and temperature are increasing function of thermal radiation. In addition, the skin friction coefficient and the local Nusselt number are tabulated and analyzed. Novelty: Present study is concerned with fluid-flow applications in plastic films, polymer extrusion, glass fiber, metallurgical processes, and metal spinning.
KEYWORDS
finite difference, computational design, thermal and velocity slips, thermal radiation
PAPER SUBMITTED: 2017-04-20
PAPER REVISED: 2017-06-27
PAPER ACCEPTED: 2017-06-27
PUBLISHED ONLINE: 2017-07-08
DOI REFERENCE: https://doi.org/10.2298/TSCI170420160I
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 3, PAGES [1875 - 1887]
REFERENCES
  1. Sakiadis, B. C., Boundary layer behaviour on continuous solid surface, AIChE J. 7 (1961), pp8-26.
  2. Bidin, B,. and Nazar, R., Numerical solution of the boundary layer flow over an exponentially stretching sheet with thermal radiation, Eur. J. Sci. Res., 33 (2009),pp 710-717.
  3. Akbar, N. S., et al., Numerical solutions of Magneto hydrodynamic boundary layer flow of tangent hyperbolic fluid towards a stretching sheet, Indian J. Phys., 87 (2013), pp 1121-1124.
  4. Hayat, T., et al., Impact of Cattaneo-Christov heat flux in the flow over a stretching sheet with variable thickness, AIP Advances, 5 (2015), pp 087159.
  5. Attia, H. A., Steady flow over a rotating disk in porous medium with heat transfer, Nonlinear Anal.: Modelling Control, 14 (2009), pp 21-26.
  6. Rashidi, M. M., et al., Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid, Int. J. Heat Mass Transfer, 62(2013),pp 515-525.
  7. Manjunatha, P. T., et al., Thermal analysis of conducting dusty fluid flow in a porous medium over a stretching cylinder in the presence of non-uniform source/sink, Int. J. Mech. Materials Eng., 1 (2014), pp 1-13.
  8. Acharya, M., et al., Effect of chemical and thermal diffusion with Hall current on unsteady hydro magnetic flow near an infinite vertical porous plate, Phys. D. Appl. Phys., 28 15 (1995),pp 2455-2464.
  9. Gawin, D., et al., Coupled heat, water and gas flow in deformable porous media, Int. J. Num. Methods Fluids, 20 (1995), pp 969-987.
  10. Hayat, T., et al., Unsteady periodic flows lows of a magneto hydrodynamic fluid due to noncoxial rotations of a porous disk and a fluid at infinity, Math. Computer Modelling, 40 (2004), pp 173-179.
  11. Das, S. S., et al., Numerical solution of mass transfer effects on unsteady flow past an accelerated vertical porous plate with suction, Bullet Malays. Math. Sci. Soc., 29 (2006), pp 33-42.
  12. Hameed, M. and Nadeem, S., Unsteady MHD flow of a non-Newtonian fluid on a porous plate, J. Math. Anal. App., 325 (2007), pp 724-733.
  13. Das, S. S., et al., Unsteady hydro magnetic convective flow past an infinite vertical porous flat plate in a porous medium, Int. J. Energy Environment, 3 (2012), pp 109-118.
  14. Nadeem, S., et al., MHD three dimensional Casson flow past a porous linearly stretching sheet, Alexandria Eng. J., 52(2013), pp 577--582.
  15. Saxena, P. and Agarwal, M., Unsteady flow of a dusty fluid between two parallel plates bounded above by porous medium, Int. J. Engineering, Sci. Tech., 6 (2014), pp 27-33.
  16. Sharma, G. K., et al. Unsteady flow through porous media past on moving vertical plate with variable temperature in the presence of inclined magnetic field, Int. J. Innovative Technol. Research, 4 (2006), pp 2784-2788.
  17. Elbashbeshy, E. M. A. and Aldawody, D. A., Effects of thermal radiation and magnetic field on unsteady mixed convection flow and heat transfer over a porous stretching surface, Int. J. Nonlinear Sci., 9 (2010), pp 448-454.
  18. Hayat, T., et al., Effects of radiation and magnetic field on the mixed convection stagnation-point flow over a vertical stretching sheet in a porous medium, Int. J. Heat Mass Transfer, 53 (2010),pp 466-474.
  19. Rashidi, M. M. and Abbasbandy, S., Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation, Commun. Nonlinear Sci. Numerical Simul.., 16 (2011) pp 1874-1889.
  20. Uwanta, I. J. and Hamza, M. M., Effect of suction/injection on unsteady hydro magnetic convective flow of reactive viscous fluid between vertical porous plates with thermal diffusion, Int. Scholarly Research Notices,2014 (2014),pp980270.
  21. Kandasamy, R and Muhaimin, I., Impact of thermal stratification on unsteady Hiemenznondarcy copper nanofluid flow over a porous wedge in the presence of magnetic field due to solar radiation (green) energy, Chemical Process Eng. Research, 36 (2015),pp22250913.
  22. Shirvan, K. M., et al., Enhancement of heat transfer and heat exchanger effectiveness in a double pipe heat exchanger filled with porous media: Numerical simulation and sensitivity analysis of turbulent fluid flow, Appl. Thermal Eng., 109 (2016),pp 761-774.
  23. Turkyilmazoglu, M., Mixed convection flow of magneto hydrodynamic micropolar fluid due to a porous heated/cooled deformable plate: Exact solutions, Int. J. Heat and Mass Transfer, 106 (2017), pp 127-134.
  24. Turkyilmazoglu, M., Equivalences and correspondences between the deforming body induced flow and heat in two-three dimensions, AIP Physics of Fluids, 28 (2016), pp 043102-1-10.
  25. Turkyilmazoglu, M., Magnetic field and slip effects on the flow and heat transfer of stagnation point Jeffrey fluid over deformable surfaces, Zeitschrift für Naturforschung A, 71 (2016), pp 549-556.
  26. Wang, C. Y., Flow due to a stretching boundary with partial slip - an exact solution of the Navier-Stokes equations, Chem. Eng. Sci.,57 (2002), pp 3745-3747.
  27. Ishak, A., et al., Heat transfer over an unsteady stretching permeable surface with prescribed wall temperature, Nonlin. Analysis: Real World Appl., 10 (2009), pp 2909-2913.
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Unsteady transport of MHD mixed convection inspired by thermal radiation and partial slip performance: Finite difference approach

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence