|تعداد مشاهده مقاله||2,474,486|
|تعداد دریافت فایل اصل مقاله||1,744,205|
|Journal of Computational & Applied Research in Mechanical Engineering (JCARME)|
|مقاله 1، دوره 5، شماره 2، شهریور 2016، صفحه 83-95 اصل مقاله (750.18 K)|
|نوع مقاله: Research Paper|
|شناسه دیجیتال (DOI): 10.22061/jcarme.2016.422|
|S. Mohammed Ibrahim* 1؛ K. Suneetha2|
|1Department of Mathematics, Gitam Institute of Technology, GITAM University, Visakhapatnam, Andhra Pradesh – 530045, India|
|2Department of Mathematics, Priyadarshini College of Engineering and Technology, Nellore, Andhra Pradesh- 524004, India|
|تاریخ دریافت: 27 اسفند 1393، تاریخ بازنگری: 26 آبان 1394، تاریخ پذیرش: 09 آذر 1394|
|An analytical investigation is conducted to study the unsteady free convection heat and mass transfer flow through a non-homogeneous porous medium with variable permeability bounded by an infinite porous vertical plate in slip flow regime while taking into account the thermal radiation, chemical reaction, the Soret number, and temperature gradient dependent heat source. The flow is considered under the influence of magnetic field applied normal to the flow. Approximate solutions for velocity, temperature, and concentration fields are obtained using perturbation technique. The expressions for skin-friction, rate of heat transfer, and rate of mass transfer are also derived. The effects of various physical parameters, encountered in the problem, on the velocity field, temperature field, and concentration field are numerically shown through graphs, while the effects on skin-friction, rate of heat, and mass transfer are numerically discussed by tables.|
|free convection؛ Chemical reaction؛ The Soret number؛ non-homogeneous porous medium؛ Temperature gradient heat source؛ Radiation|
 S. Middleman, An Introduction to Mass and Heat Transfer, John Wiley & Sons, Inc., (1998).
 H. Rubin, and J. Atkinson, Environmental Fluid Mechanics, Marcel Dekker, Inc, New York, (2001).
 P. S. Ghoshdastidar, Heat Transfer, Oxford University Press, UK., (2004).
 P. Cheng, and W. J. Minkowycz, “Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike”, Journal of Geophysical Research, Vol. 82, No. 14, pp. 2040-2044, (1977).
 D. A. Nield, and A. Bejan, Convection in Porous Media, Springer, Berlin, (1992).
 A. J. Chamaka, “Hydromagnetic combined heat and mass transfer by natural convection from a permeable surface embedded in a fluid saturated porous medium”, International Journal Numerical Methods Heat Fluid Flow, Vol. 10, No. 5, pp. 455-476, (2000).
 M. Gupta, and S. Sharma, “MHD flow of viscous fluid through a porous medium bounded by an oscillating porous plate in slip flow regime”, Acta Ciencia Indica, Vol. 17M, No. 2, pp. 389- 394, (1991).
 J. Y. Kim, “Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction”, International Journal of Engineering Sciences, Vol. 38, No. 8, pp. 833-845, (2000).
 M. C. Raju, and S. V. K. Varma, “Unsteady MHD free convection oscillatory coquette flow through a porous medium with periodic wall temperature, i-manager’s Journal on Future Engineering and Technology, Vol. 6, No. 4, pp. 7-12, (2011).
 A. Raptis, and N. Kafousias, “Magneto hydrodynamics free convection flow and mass transfer through a porous medium bounded by an infinite vertical porous plate with constant heat flux”, Canadian Journal of Physics, Vol. 60, No. 12, pp. 1725-1729, (1982).
 E. R. G. Eckert, and R. M. Drake, Heat and mass transfer, Tata McGraw-Hill, 2nd ed., New Delhi, (1979).
 A. Y. Ghaly, “Radiation effects on a certain MHD free convection flow”, Chaos, solutions and Fractals, Vol. 13, No. 9, pp. 1843-1850, (2002).
 N. Ahmed, and H. K Sarmah, “The radiation effect on a transient MHD flow mass transfer past an impulsively fixed infinite vertical plate”, International Journal of Appled Mathematics and Mechanics, Vol. 5, No. 5, pp. 87-98, (2009).
 A. Raptis, and C. V. Massalas, “Magnetohydrodynamic Flow Past a Plate by the Presence of Radiation,” Heat and Mass Transfer, Vol. 34, No. 2-3, pp. 107-109, (1998)
 H. Poonia, and R. C. Chaudary, “The influence of radiative heat transfer on MHD oscillating flow in a planner channel with slip condition”, International Journal of Energy and Technology, Vol. 4, No. 2, pp. 1-7, (2012).
 N. Ahmed and H. K. Sarmah, “The Radiation Effect on a Transient MHD Flow Mass Transfer Past an Impulsively Fixed Infinite Vertical Plate,” International Journal of Applied Mathematics and Mechanics, Vol. 5, No. 5, pp. 87-98, (2009).
 V. Rajesh, and S. V. K. Varma, “Radiation effects on MHD flow through a porous medium with variable temperature and mass diffusion,” International Journal of Applied Mathematics and Mechanics, Vol. 6, No. 11, pp. 39-57, (2010).
 D. Pal, and H. Mondal, “Radiation effects on combined convection over a vertical flat plate embedded in a porous medium of variable porosity,” Meccanica, Vol. 44, No. 2, pp. 133-144, (2009).
 A. M. D. Samad, and M. M. Rahman, “Thermal radiation interaction with unsteady MHD flow past a vertical porous plate immersed in a porous medium”, Journal of Naval Architecture and Marine Engineering, Vol. 3, No. 1, pp. 7-14, (2006).
 S. Ostrach, “Laminar natural convection flow and heat transfer of fluid with and without heat source in channel with wall temperature”, NACA TN, 2863, (1952).
 A. A. Raptis, “Free convection and mass transfer effects on the oscillatory flow past an infinite moving vertical isothermal plate with constant suction and heat sources”, Astrophy., Space Sci., Vol. 86, No. 1, pp. 43-53, (1982).
 A. K. Singh, “MHD free convection and mass transfer flow with heat source and thermal diffusion”, Journal of Energy, Heat and Mass Transfer, Vol. 23, No. 2, pp. 227-249, (2001).
 S. S. Sexena, and G. K. Dubey, “MHD free convection heat and mass transfer flow of viscoelastic fluid embedded in a porous medium of variable permeability with radiation effect and heat source in slip flow regime”, Advances in Applied Science Research, Vol. 2, No. 5, pp. 115-129, (2011).
 S. Mohammed Ibrahim, and N Bhaskar Reddy, “Radiation and mass transfer effects on MHD free convection flow along a stretching surface with viscous dissipation and heat generation”, International Journal of Applied Mathematics and Mechanics, Vol. 8, No. 8, pp. 1-21, (2012).
 S. Mohammed Ibrahim, and K. Suneetha, “Effects of heat generation and thermal radiation on steady MHD flow near a stagnation point on a linear stretching sheet in porous medium and presence of variable thermal conductivity and mass transfer, Journal of Computational and Applied Research in Mechanical Engineering, Vol. 4, No. 2, pp. 133-144, (2015).
 M. Ghalambaz and A. Naghrehabadi, “Effects of heat generation/absorption on natural convection of nanofluids over the vertical plate embedded in porous medium using drift-flux model”, Journal of Computational and Applied Research in Mechanical Engineering, Vol. 3, No. 2, pp. 113-123, (2014).
 B. Madhusudhana Rao, G. Viswanatha Reddy, M. C. Raju and S. V. K. Varma, “MHD transient free convection and chemical reactive flow past a porous vertical plate with radiation and temperature gradient dependent heat source in slip flow regime”, IOSR Journal of Applied Physics, Vol. 3, No. 6, pp. 22-32, (2013).
 G. V. Ramana Reddy, S. Mohammed Ibrahim, and V. S. Bhagavan, “Similarity transformations of heat and mass transfer effects on steady MHD free convection dissipative fluid flow past an inclined porous surface with chemical reaction”, Journal of Naval Architecture & Marine Engineering, Vol. 11, No. 2, pp. 157-166, (2014).
 T. Sudhakar Reddy, M. C. Raju, and S. V. K. Varma, “Chemical reaction and radiation effects on MHD free convective flow through a porous medium bounded by a vertical surface with constant heat and mass flux, Journal of Computational and Applied Research in Mechanical Engineering Vol. 3, No. 1, pp. 53-62, (2013).
[30 ] A. Sahin, “Influence of chemical reaction on transient mhd free Convective flow over a vertical plate in slip-flow Regime”, Emirates Journal for Engineering Research, Vol. 15, No. 1, pp. 25-34, (2010).
 E. R. G. Eckert, and R. M. Drake, Analysis of heat and mass transfer, New York, Mc-Graw Hill, (1972).
 Z. Durunkya, and W. A. Worek, “Diffusion-Thermo and thermal-diffusion effects in transient and steady natural convection from vertical surface”, International Journal of Heat and Mass Transfer, Vol. 35, No. 8, pp. 2060-2065, (1992).
 N. G. Kafoussias, and E. M. Williams, “Thermal-diffusion and diffusion-thermo effects on mixed free forced convection and mass transfer boundary layer flow with temperature dependent viscosity”, International Journal of Engineering Science, Vol. 33, No. 9, pp. 1369-1384, (1995).
 M. A. Sattar, and M. S. Alam, “Thermal diffusion as well as transpiration effects on MHD free convection and mass transfer flow past an accelerated vertical porous plate”, Indian Journal of Pure and Applied Mathematics, Vol. 25, No. 6, pp. 679-688, (1994).
 M. S. Alam, and M. M. Rahman, Dufour and Soret effects on MHD free convective heat and mass transfer flow past a vertical porous flat plate embedded in a porous medium, Journal of Naval Architecture and Marine Engineering, Vol. 2, No. 1, pp. 55-65, (2005).
 J. Prakash, K. S. Balamurugan and S. V. K. Varma, “Soret and chemical reaction effects on a three dimensional MHD convective flow of dissipative fluid along an infinite vertical plate”, Journal of Computational and Applied Research in Mechanical Engineering, Vol. 4, No. 1, pp. 19-42, (2015).
 A. J. Ede., Advances in Heat Transfer, Academic Press, New York (1967).
 K. Gerstenk, and J. F. Gross, “ Flow and heat transfer along a plane wall with periodic suction, Zeitschrift für angewandte Mathematik und Physik, Vol. 25, No. 3, pp. 399-408, (1974).
تعداد مشاهده مقاله: 2,811
تعداد دریافت فایل اصل مقاله: 2,131