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Initial unsteady free convective flow past an infinite vertical plate with radiation and mass transfer effects

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Języki publikacji
EN
Abstrakty
EN
An exact solution and analysis of an initial unsteady two dimensional free convection flow, heat and mass transfer in the presence of thermal radiation along an infinite fixed vertical plate when the plate temperature is instantaneously raised, is presented. The fluid considered is a gray, absorbing emitting radiation but a nonscattering medium. Three cases have been discussed, in particular, namely, (i) when, the plate temperature is instantaneously raised to a higher constant value, (ii) when, the plate temperature varies linearly with time and (iii) when, the plate temperature varies non-linearly with time. A close form general solution for all the cases has been obtained in terms of repeated integrals of error functions. In two particular cases, the solutions in terms of the repeated integrals of error functions have been further simplified to forms containing only error functions. It is observed that for an increase in the radiation parameter N or a decrease in the Grashof number Gr or Gm, there is a fall in the velocity or temperature, but compared to the no radiation case or no diffusing species, there is a rise in the velocity and temperature of the fluid.
Rocznik
Strony
931--943
Opis fizyczny
Bibliogr. 24 poz., tab., wykr.
Twórcy
autor
  • Department of Mathematics and Statistics Jai Narain Vyas University, Jodhpur, INDIA
autor
  • Department of Mathematics and Statistics Jai Narain Vyas University, Jodhpur, INDIA
Bibliografia
  • [1] Abramowitz M. and Stegun I.A. (1972): Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover Publications.
  • [2] Bansal J.L. (1994): Magnetofluiddynamics of Viscous Fluids. Jaipur: Jaipur Publishing House.
  • [3] Brewster M.Q. (1992): Thermal Radiative Transfer and Properties. John Wiley and Sons. Ind.
  • [4] Chaudhary R.C. and Jain P. (2006): Unsteady free convection boundary layer flow past an impulsively started vertical surface with Newtonian heating. Romanian Journal of Physics, vol.51, pp.911-925.
  • [5] Chandrakala P. (2010): Radiation effects on flow past an impulsively started vertical oscillating plate with uniform heat flux. International Journal of Dynamics of Fluids, vol.6, pp.209-215.
  • [6] Chandrakala P. and Bhaskar P.N. (2012): Radiation effects on oscillating vertical plate with uniform heat flux and mass diffusion. International Journal of Fluids Engineering, vol.4, pp.1–11.
  • [7] Chandran P., Sacheti N.C. and Singh A.K. (2005): Natural convection near a vertical plate with ramped Wall temperature. Heat and Mass Transfer, vol.41, pp.459-464.
  • [8] Chien-Hsin-Chen (2004): Combined heat and mass transfer in MHD free convection from a vertical surface with Ohmic heating and viscous dissipation. Int. J. Engineering Science, vol.42, No.7, pp.699-713.
  • [9] Deka R.K. and Das S.K. (2011): Radiation effects on free convection flow near a vertical plate with ramped wall temperature. Engineering, vol.3, pp.1197–1206.
  • [10] Korycki R. (2006): Sensitivity analysis and shape optimization for transient heat conduction with radiation. International Journal of Heat and Mass Transfer, vol.49 No.13-14 pp.2033-2043.
  • [11] Mebine P. and Adigio E.M. (2009): Unsteady free convection flow with thermal radiation past a vertical porous plate with Newtonian heating. Turkish Journal of Physics, vol.33, No.2, pp.109–119.
  • [12] Muthucumaraswamy R. (2004): Natural convection on flow past an impulsively started vertical platewith variable surface heat flux. Far East Journal of Applied Mathematics, vol.14, no.1, pp.99-119.
  • [13] Muthucumaraswamy R., Chandrakala P. and Raj S.A. (2006): Radiative heat and mass transfer effects on moving isothermal vertical plate in the presence of chemical reaction. International Journal of Applied Mechanics and Engineering, vol.11, No.3, pp.639–646.
  • [14] Muthukumarswamy R. and Senthil G.K. (2004): Heat and Mass transfer effect on moving vertical plate in the presence of thermal radiation. Theoret. Appl. Mech. vol.31, pp.35-46.
  • [15] Muthucumaraswamy R. and Vijayalakshmi A. (2008): Effects of heat and mass transfer on flow past an oscillating vertical plate with variable temperature. International Journal of Applied Mathematics and Mechanics, vol.4, No.1, pp.59-65.
  • [16] Narahari M. and Ishak A. (2011): Radiation effects on free convection flow near a moving vertical plate with newtonian heating. Journal of Applied Sciences, vol.11, No.7, pp.1096–1104.
  • [17] Narahari M. and Yunus Nayan M. (2011): Free convection flow past an impulsively started infinite vertical plate with Newtonian heating in the presence of thermal radiation and mass diffusion. Turkish Journal of Engineering and Environmental Sciences, vol.35, No.3, pp.187–198.
  • [18] Pathak G., Maheshwari C.H. and Gupta S.P. (2006): Effects of radiation on unsteady free convection flow bounded by an oscillating plate with variable temperature. International Journal of Applied Mechanics and Engineering, vol.11, pp.371–382.
  • [19] Prasad V.R., Reddy N.B. and Muthucumaraswamy R. (2007): Radiation and mass transfer effects on twodimensional flow past an impulsively started infinite vertical plate. International Journal of Thermal Sciences, vol.46, No.12, pp.1251-1258.
  • [20] Rajesh V. (2012): Effects of mass transfer on flow past an impulsively started infinite vertical plate with Newtonian heating and chemical reaction. Journal of Engineering Physics and Thermophysics, vol.85, No.1, pp.221–228.
  • [21] Soundalgekar V.M. (1977): Free convection effects on the Stokes problem for an infinite vertical plate. J. Heat Transfer (Trans. ASME), 99C: pp.499–501.
  • [22] Soundalgekar V.M. and Patil M.R. (1980): Stokes problem for infinite vertical plate with constant heat flux. Astrophys. Space Sci., vol.70, pp.179-182.
  • [23] Tak S.S. and Parihar Renu (2005): Radiation and mass transfer effects on flow past an impulsively started infinite vertical plate. Bulletin of pure and Applied Science, vol.24E, No.2 pp.221-231.
  • [24] Vighnesam N.V. and Soundalgekar V.M. (2001): Heat Transfer in MHD stagnation point flow with variable temperature. Bull. Cal. Math. Soc., vol.93, No.3, pp.229-232.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d81be9c4-f584-440d-bf38-31fb53cd9ae5
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