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Radiation effects on stagnation-point flow over a stretching sheet with internal heat generation or absorption

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, the effects of radiation (Rosseland model) on the flow of an incompressible fluid over a vertical flat sheet near the stagnation point with internal heat absorption or generation is studied. The similarity variables are used to transform the problem under consideration into a boundary value problem of nonlinear coupled ordinary differential equations containing the Prandtl number and heat source/sink parameter, which are solved, numerically by using the finite-difference method with appropriate boundary conditions. Numerical results are given for various values of dimensionless parameters of the problem. A comparison of numerical results is made with the earlier published results under the limiting cases. The effects of physical parameters on temperature and the local Nusselt number are discussed in detail. The results show that increasing the internal heat generation/absorption parameter increases the thermal boundary layer thickness and similar effects are seen for increasing the radiation parameter and wall temperature.
Rocznik
Strony
427--439
Opis fizyczny
Bibliogr. 26 poz., tab., wykr.
Twórcy
autor
  • Department of Mathematics, Siksha Bhavana Visva-Bharati University Santiniketan-731 235, West Bengal, INDIA, dulalp123@rediffmail.com
Bibliografia
  • Andersson H.I. (1992): Magnetohydrodynamic flow of a power-law fluid over a stretching sheet. - Inter. J. Non-Linear Mechanics, vol.29, pp.929-936.
  • Chamkha A.J., Mujtaba M. and Quadri AIssa C. (2003): Thermal radiation effects on MHD forced convection flow adjacent to a non-isothermal wedge in the presence of a heat source or sink. - Heat and Mass Transfer, vol.39, pp.305-312.
  • Cogley A.C., Vincenti W.G. and Giles S.E. (1963): Differential approximation for radiative transfer in a non-grey gas near equilibrium. - AIAA J., vol.6, pp.551-553.
  • Crane L.J. (1970): Flow past a stretching plate. - Z. Angew Math. Phys., vol.21, pp.645-647.
  • Crepeau J.C. and Clarksean R. (1997): Similarity solutions of natural convection with heat generation. - J. Heat Transfer, pp.119, pp.183-185.
  • Danberg J.E. and Fansber K.S. (1976): Nonsimilar solution for the flow in the boundary layer past a stretched wall. - Quart Appl. Math., vol.34, pp.305-311.
  • Eckert E.R.G. and Drake R.M. (1979): Heat and mass transfer. - 2nd edn. New Delhi: Tata McGraw-Hill.
  • Erickson L.E., Fan L.T. and Fox V.G. (1966): Indust. Eng. Chem. Fundamentals, vol.5, No.19.
  • Grief R., Habib I.S. and Lin J.C. (1971): Laminar convection of a radiating gas in a vertical Channel. - J. Fluid Mech., vol.45, pp.513-520.
  • Gorla R.S.R. (1988): Radiative effect on conjugate forced convection and conductive heat transfer in a circular pin. - Intern. J. Heat Fluid Flow, vol.9, pp.49-51.
  • Gorla R.S.R. and Pop I. (1993): Conjugate heat transfer with radiation from a vertical circular pin in non-Newtonian ambient medium. - Warme und Stoffubertragung, vol.28, pp.11-15.
  • Gupta P.S. and Gupta A.S. (1977): Heat and mass transfer on a stretching sheet with suction or blowing. - Can. J. Chem. Eng., vol.55, pp.744-746.
  • Hossain M.A., Alim M.A. and Rees D.A.S. (1998): Effect of thermal radiation on natural convection over cylinders of elliptic cross section. - Acta Mechanica, vol.129, pp.177-186.
  • Hossain M.A., Alim M.A. and Rees D.A.S. (1999): The effect of radiation on free convection from a porous vertical plate. - Intern. J. Heat Mass Transfer, vol.42, pp.181-191.
  • Mahapatra T.R. and Gupta A.S. (2002): Heat transfer in stagnation-point flow towards a stretching sheet. - Heat and Mass Transfer, vol.38, pp.517-521.
  • Mohammadein A.A. and El-Amin M.F. (2000): Thermal dispersion radiation effects on non-Darcy natural convection in a fluid saturated porous medium. - Transport Porous Medium, vol.40, No.2, pp.153-163.
  • Pop S.R., Grosan T. and Pop I. (2004): Radiation effects on the flow near the stagnation point of a stretching sheet. - TECHNISCHE MECHANIK, vol.25, No.2, pp.100-106.
  • Rajagopal K.R., Na T.Y. and Gupta A.S. (1984): Flow of a viscoelastic fluid over a stretching sheet. - Rheology Acta, vol.23, pp.213-215.
  • Raptis A. (1998): Flow of a micropolar fluid past a continuously moving plate by the presence of radiation. - Int. J. Heat Mass Transfer, vol.41, pp.2865-2866.
  • Raptis A. (1998): Radiation and free convection flow through a porous medium. - Intern. Commun. Heat Mass Transfer, vol.25, pp.289-295.
  • Raptis A. and Massalas C.V. (1998): Magnetohydrodynamic flow past a plate by the presence of radiation. - Heat Mass Transfer, vol.34, pp.107-109.
  • Sakiadis B.C. (1961): Boundary-layer behaviour on continuous solid surfaces. - AIChE J., vol.7, pp.26-28.
  • Soundalgekar V.M. and Takhar H.S. (1993): Radiative free convection flow of a gas past a semi- infinite vertical plate. - Mod Meas Contr., vol.B51, pp.31-40.
  • Sparrow E.M. and Cess R.D. (1961): Temperature dependent heat sources or sinks in a stagnation point flow. - Appl Sci. Res., vol.A10, pp.185-191.
  • Sparrow E.M. and Cess R.D. (1978): Radiation Heat Transfer. - Hemisphere, Washington, DC.
  • Vajravelu K. and Hadjinicolaou A. (1993): Heat transfer in a viscous fluid over a stretching heat with viscous dissipation and internal heat generation. - Intern. Comm. Heat Mass Transfer, vol.20, pp.417-430.
  • Yih K.A. (1999): MHD forced convection flow adjacent to a non-isothermal wedge. - Intern. Comm. Heat Mass Transfer, vol.26, pp.819-827.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0036-0009
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