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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 80, 2021 - Issue 3-4
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Original articles

Fully developed MHD mixed convective flow through a composite system in a vertical channel

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Pages 53-70 | Received 20 Jan 2021, Accepted 07 Jun 2021, Published online: 02 Jul 2021

References

  • P. Cheng and W. Minkowycz, “Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike,” J. Geophys. Res., vol. 82, no. 14, pp. 2040–2044, 1977. DOI: 10.1029/JB082i014p02040.
  • P. Cheng and C. T. Hsu, “Higher-order approximations for Darcian free convective flow about a semi-infinite vertical flat plate,” J. heat Transf., vol. 106, no. 1, pp. 143–151, 1984. DOI: 10.1115/1.3246627.
  • Y. Joshi and B. Gebhart, “Vertical natural convection flows in porous media: Calculations of improved accuracy,” Int. J. Heat Mass Transfer, vol. 27, no. 1, pp. 69–75, 1984. DOI: 10.1016/0017-9310(84)90238-2.
  • J. Merkin, “Mixed convection boundary layer flow on a vertical surface in a saturated porous medium,” J. Eng. Math., vol. 14, no. 4, pp. 301–313, 1980. DOI: 10.1007/BF00052913.
  • A. Nakayama and I. Pop, “A unified similarity transformation for free, forced and mixed convection in Darcy and non-darcy porous media,” Int. J. Heat Mass Transf., vol. 34, no. 2, pp. 357–367, 1991. DOI: 10.1016/0017-9310(91)90256-E.
  • P. Beckett and I. Friend, “Combined natural and forced convection between parallel walls: Developing flow at higher Rayleigh numbers,” Int. J. Heat Mass Transf., vol. 27, no. 4, pp. 611–621, 1984. DOI: 10.1016/0017-9310(84)90033-4.
  • G. Ramanaiah and G. Malarvizhi, “Unified treatment of free and mixed convection on a permeable vertical cylinder in a saturated porous medium,” Indian J. Technol., vol. 28, no. 10, pp. 604–608, 1990.
  • T. Paul and A. Singh, “Natural convection between coaxial vertical cylinders partially filled with a porous material,” Forsch. Ing.-Wes., vol. 64, no. 6–7, pp. 157–162, 1998. DOI: 10.1007/PL00010772.
  • T. Paul, A. Singh, and G. Thorpe, “Transient natural convection in a vertical channel partially filled with a porous medium,” Math. Eng. Indus., vol. 7, no. 4, pp. 441–455, 1999.
  • A. Mishra, T. Paul, and A. Singh, “Mixed convection flow in a porous medium bounded by two vertical walls,” Forsch. Ingenieurwes., vol. 67, no. 5, pp. 198–205, 2002. DOI: 10.1007/s10010-002-0092-1.
  • M. Nobari and A. Beshkani, “A numerical study of mixed convection in a vertical channel flow impinging on a horizontal surface,” Int. J. Thermal Sci., vol. 46, no. 10, pp. 989–997, 2007. DOI: 10.1016/j.ijthermalsci.2006.11.012.
  • C. Guillet, T. Mare, and C. T. Nguyen, “Application of a non-linear local analysis method for the problem of mixed convection instability,” Int. J. Non-Linear Mechanics, vol. 42, no. 8, pp. 981–988, 2007. DOI: 10.1016/j.ijnonlinmec.2007.04.004.
  • M. Akbari, A. Behzadmehr, and F. Shahraki, “Fully developed mixed convection in horizontal and inclined tubes with uniform heat flux using nanofluid,” Int. J. Heat Fluid Flow, vol. 29, no. 2, pp. 545–556, 2008. DOI: 10.1016/j.ijheatfluidflow.2007.11.006.
  • T. Hayat, S. Nadeem, A. M. Siddiqui, and S. Asghar, “An oscillating hydromagnetic non-Newtonian flow in a rotating system,” Appl. Math. Lett., vol. 17, no. 5, pp. 609–614, 2004. DOI: 10.1016/S0893-9659(04)90134-6.
  • M. J. Martin and I. D. Boyd, “Momentum and heat transfer in a laminar boundary layer with slip flow,” J. Thermophys. Heat Transf., vol. 20, no. 4, pp. 710–719, 2006. DOI: 10.2514/1.22968.
  • H. I. Anderson, “Slip flow past a stretching surface,” Acta Mechanica, vol. 158, pp. 121–125, 2002.
  • K. Vafai and C. L. Tien, “Boundary and inertia effects on flow and heat transfer in porous media,” Int. J. Heat Mass Transf., vol. 24, no. 2, pp. 195–203, 1981. DOI: 10.1016/0017-9310(81)90027-2.
  • M. Kaviany and M. Mittal, “Natural convection heat transfer from a vertical plate to high permeability porous media: An experiment and an approximate solution,” Int. J. Heat Mass Transfer, vol. 30, no. 5, pp. 967–977, 1987. DOI: 10.1016/0017-9310(87)90015-9.
  • S. Nazari, R. Ellahi, M. Sarafraz, M. Safaei, A. Asgari, and O. A. Akbari, “Numerical study on mixed convection of a non-Newtonian nanofluid in a square cavity with porous media and two lid-driven,” J. Therm. Anal. Calorim., vol. 140, no. 3, pp. 1121–1145, 2020. DOI: 10.1007/s10973-019-08841-1.
  • A. Shahid, H. Huang, M. M. Bhatti, L. Zhang, and R. Ellahi, “Numerical investigation on the swimming of gyrotactic microorganisms in nanofluids through porous medium over a stretched surface,” Mathematics, vol. 8, no. 3, p. 380, 2020. DOI: 10.3390/math8030380.
  • R. Ellahi, S. M. Sait, N. Shehzad, and Z. Ayaz, “A hybrid investigation on numerical and analytical solutions of electro-magnetohydrodynamics flow of nanofluid through porous media with entropy generation,” HFF, vol. 30, no. 2, pp. 834–854, 2019b. DOI: 10.1108/HFF-06-2019-0506.
  • R. Ellahi, F. Hussain, F. Ishtiaq, and A. Hussain, “Peristaltic transport of Jeffrey fluid in a rectangular duct through a porous medium under the effect of partial slip: an application to upgrade industrial sieves/filters,” Pramana – J. Phys., vol. 93, no. 3, p. 34, 2019a. DOI: 10.1007/s12043-019-1781-8.
  • M. Sheikholeslami, R. Ellahi, A. Shafee, and Z. Li, “Numerical investigation for second law analysis of ferrofluid inside a porous semi annulus: an application of entropy generation and exergy loss,” HFF, vol. 29, no. 3, pp. 1079–1102, 2019. DOI: 10.1108/HFF-10-2018-0606.
  • C. Fetecau, R. Ellahi, M. Khan, and N. A. Shah, “Combined porous and magnetic effects on some fundamental motions of Newtonian fluids over an infinite plate,” J. Porpus Media, vol. 21, no. 7, pp. 589–605, 2018. DOI: 10.1615/JPorMedia.v21.i7.20.
  • B. Gebhart and J. Mollendorf, “Viscous dissipation in external natural convection flows,” J. Fluid Mech., vol. 38, no. 1, pp. 97–107, 1969. DOI: 10.1017/S0022112069000061.
  • K. L. Ojha, R. Barik, and G. Dash, “Unsteady squeezing flow and mass transfer in a channel with temporal width,” DDF, vol. 389, pp. 86–99, 2018. DOI: 10.4028/www.scientific.net/DDF.389.86.
  • R. P. Sharma, M. Raju, O. D. Makinde, P. Reddy, and P. C. Reddy, “Buoyancy effects on unsteady MHD chemically reacting and rotating fluid flow past a plate in a porous medium,” DDF, vol. 392, pp. 1–9, 2019. DOI: 10.4028/www.scientific.net/DDF.392.1.
  • M. Shamshuddin, T. Thumma, and S. Mishra, “Thermo-solutal chemically reacting micropolar fluid past a permeable stretching porous sheet,” DDF, vol. 392, pp. 42–59, 2019. DOI: 10.4028/www.scientific.net/DDF.392.42.
  • N. Srivastava and A. K. Singh, “Mixed convection in a composite system bounded by vertical walls,” J. Appl. Fluid Mech., vol. 3, no. 2, pp. 65–75, 2010.
  • P. Shih-I, Magnetogasdynamics and Plasma Dynamics. Vienna: Springer Verlag, 1962.
  • T. R. Mahapatra, S. Dholey, and A. Gupta, “Momentum and heat transfer in the magnetohydrodynamics stagnation-point flow of a viscoelastic fluid toward a stretching surface,” Meccanica, vol. 42, no. 3, pp. 263–272, 2007. DOI: 10.1007/s11012-006-9040-8.
  • K. R. Cramer and P. Shih-I, 1973. Magnetofluid dynamics for engineers and applied physicists.

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