Thermal radiation and buoyancy effects on heat and mass transfer over a semi-infinite stretching surface with suction and blowing.

*(English)*Zbl 1158.80312Summary: This study sought to investigate thermal radiation and buoyancy effects on heat and mass transfer over a semi-infinite stretching surface with suction and blowing. Appropriate transformations were employed to transform the governing differential equations to nonsimilar form. The transformed equations were solved numerically by an efficient implicit, iterative finite-difference scheme. A parametric study illustrating the influence of wall suction or injection, radiation, Schmidt number and Grashof number on the fluid velocity, temperature and concentration is conducted. We conclude from the study that the flow is appreciably influenced by thermal radiation, Schmidt number, as well as fluid injection or suction.

##### MSC:

80A20 | Heat and mass transfer, heat flow (MSC2010) |

76R10 | Free convection |

80M20 | Finite difference methods applied to problems in thermodynamics and heat transfer |

76M20 | Finite difference methods applied to problems in fluid mechanics |

##### References:

[1] | B. Gebhart and L. Pera, “The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion,” International Journal of Heat and Mass Transfer, vol. 14, no. 12, pp. 2025-2050, 1971. · Zbl 0223.76060 · doi:10.1016/0017-9310(71)90026-3 |

[2] | L. Pera and B. Gebhart, “Natural convection flows adjacent to horizontal surfaces resulting from the combined buoyancy effects of thermal and mass diffusion,” International Journal of Heat and Mass Transfer, vol. 15, no. 2, pp. 269-278, 1972. · doi:10.1016/0017-9310(72)90074-9 |

[3] | A. R. Bestman, “Natural convection boundary layer with suction and mass transfer in a porous medium,” International Journal of Energy Research, vol. 14, no. 4, pp. 389-396, 1990. · doi:10.1002/er.4440140403 |

[4] | M. A. Hossain, “Viscous and Joule heating effects on MHD-free convection flow with variable plate temperature,” International Journal of Heat and Mass Transfer, vol. 35, no. 12, pp. 3485-3487, 1992. · doi:10.1016/0017-9310(92)90234-J |

[5] | M. Acharya, L. P. Singh, and G. C. Dash, “Heat and mass transfer over an accelerating surface with heat source in presence of suction and blowing,” International Journal of Engineering Science, vol. 37, no. 2, pp. 189-211, 1999. · doi:10.1016/S0020-7225(98)00064-0 |

[6] | M. A. Hossain, M. A. Alim, and D. A. S. Rees, “The effect of radiation on free convection from a porous vertical plate,” International Journal of Heat and Mass Transfer, vol. 42, no. 1, pp. 181-191, 1998. · Zbl 0953.76083 · doi:10.1016/S0017-9310(98)00097-0 |

[7] | M. Rahman and I. Mulolani, “Convective-diffusive transport with chemical reaction in natural convection flows,” Theoretical and Computational Fluid Dynamics, vol. 13, no. 5, pp. 291-304, 2000. · Zbl 0966.76089 · doi:10.1007/s001620050001 |

[8] | S. Hussain, M. A. Hossain, and M. Wilson, “Natural convection flow from a vertical permeable flat plate with variable surface temperature and species concentration,” Engineering Computations, vol. 17, no. 7, pp. 789-812, 2000. · Zbl 0982.76082 · doi:10.1108/02644400010352261 |

[9] | A. J. Chamkha, “Thermal radiation and buoyancy effects on hydromagnetic flow over an accelerating permeable surface with heat source or sink,” International Journal of Engineering Science, vol. 38, no. 15, pp. 1699-1712, 2000. · Zbl 1210.76212 · doi:10.1016/S0020-7225(99)00134-2 |

[10] | M. A. Hossain, K. Khanafer, and K. Vafai, “The effect of radiation on free convection flow of fluid with variable viscosity from a porous vertical plate,” International Journal of Thermal Sciences, vol. 40, no. 2, pp. 115-124, 2001. · doi:10.1016/S1290-0729(00)01200-X |

[11] | M. S. Abel, S. K. Khan, and K. V. Prasad, “Convective heat and mass transfer in a visco-elastic fluid flow through a porous medium over a stretching sheet,” International Journal of Numerical Methods for Heat and Fluid Flow, vol. 11, no. 8, pp. 779-792, 2001. · Zbl 1010.76077 · doi:10.1108/09615530110409420 |

[12] | S. P. Devi and R. Kandasamy, “Analysis of nonlinear two dimensional laminar natural flow and mixed convection over variable surface with free stream conditions,” Journal of Computational and Applied Mathematics, vol. 3, no. 2, pp. 107-116, 2002. · Zbl 1054.76077 |

[13] | A. J. Chamkha and M. M. A. Quadri, “Simultaneous heat and mass transfer by natural convection from a plate embedded in a porous medium with thermal dispersion effects,” Heat and Mass Transfer, vol. 39, no. 7, pp. 561-569, 2003. · doi:10.1007/s00231-002-0339-2 |

[14] | S. C. Saha and M. A. Hossain, “Natural convection flow with combined buoyancy effects due to thermal and mass diffusion in a thermally stratified media,” Nonlinear Analysis: Modelling and Control, vol. 9, pp. 89-102, 2004. · Zbl 1054.76077 |

[15] | S. Abel, K. V. Prasad, and A. Mahaboob, “Buoyancy force and thermal radiation effects in MHD boundary layer visco-elastic fluid flow over continuously moving stretching surface,” International Journal of Thermal Sciences, vol. 44, no. 5, pp. 465-476, 2005. · doi:10.1016/j.ijthermalsci.2004.08.005 |

[16] | Y. Azizi, B. Benhamou, N. Galanis, and M. El-Ganaoui, “Buoyancy effects on upward and downward laminar mixed convection heat and mass transfer in a vertical channel,” International Journal of Numerical Methods for Heat and Fluid Flow, vol. 17, no. 3, pp. 333-353, 2007. · doi:10.1108/09615530710730193 |

[17] | S. Shateyi, P. Sibanda, and S. S. Motsa, “Magnetohydrodynamic flow past a vertical plate with radiative heat transfer,” Journal of Heat Transfer, vol. 129, no. 12, pp. 1708-1713, 2007. · doi:10.1115/1.2767750 |

[18] | A. J. Chamkha, “Hydromagnetic natural convection from an isothermal inclined surface adjacent to a thermally stratified porous medium,” International Journal of Engineering Science, vol. 35, no. 10-11, pp. 975-986, 1997. · Zbl 0900.76585 · doi:10.1016/S0020-7225(96)00122-X |

[19] | A. J. Chamkha and A.-R. A. Khaled, “Similarity solutions for hydromagnetic mixed convection heat and mass transfer for Hiemenz flow through porous media,” International Journal of Numerical Methods for Heat and Fluid Flow, vol. 10, no. 1, pp. 94-115, 2000. · Zbl 0966.76086 · doi:10.1108/09615530010306939 |

[20] | F. G. Blottner, “Finite difference methods of solution of the boundary-layer equations,” AIAA Journal, vol. 8, pp. 193-205, 1970. · Zbl 0223.76026 · doi:10.2514/3.5642 |

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