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Effect of viscous dissipation and thermal radiation on heat transfer over a non-linearly stretching sheet through porous medium

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this present paper, we have discussed the effects of viscous dissipation and thermal radiation on heat transfer over a non-linear stretching sheet through a porous medium. Usual similarity transformations are considered to convert the non-linear partial differential equation of motion and heat transfer into ODE’s. Solutions of motion and heat transfer are obtained by the Runge-Kutta integration scheme with most efficient shooting technique. The graphical results are presented to interpret various physical parameters of interest. It is found that the velocity profile decreases with an increase of the porous parameter asymptotically. The temperature field decreases with an increase in the parametric values of the Prandtl number and thermal radiation while with an increase in parameters of the Eckert number and porous parameter, the temperature field increases in both PST (power law surface temperature) and PHF (power law heat flux) cases. The numerical values of the non-dimensional wall temperature gradient and wall temperature are tabulated and discussed.
Rocznik
Strony
461--474
Opis fizyczny
Bibliogr. 29 poz., tab., wykr.
Twórcy
  • Department of PG and UG Studies in Mathematics Government College Gulbarga-585105 Karnataka, India
  • Department of PG and UG Studies in Mathematics Government College Gulbarga-585105 Karnataka, India
Bibliografia
  • Abel M.S, Mahantesh M. Nandeppanavar and Malipatil S.B. (2010): Heat transfer in a second grade fluid throughporous medium from a permeable stretching sheet with non-uniform heat source/sink. - Int. J. Heat and Mass Transfer, vol.53, pp.1788-1795.
  • Auriault J.L. (2009): On the domain of validity of Brinkman’s equation. - Transp. Porous Med., vol.79, pp.215-223.
  • Carragher P. and Crane L.J. (1982): Heat transfer on a continuous stretching sheet. - Z. Angew. Math. Mech., vol.62, pp.564-565.
  • Cebeci T. and Bradshaw P. (1984): Physical computational aspects of convective heat transfer. - New York: Springer- Verlag.
  • Crane L.J. (1970): Flow past a stretching plate. - Z. Angew. Math. Phys., vol.21, pp.645-647.
  • Conte S.D. and De. Boor C. (1972): Elementary Numerical Analysis. - New York: McGraw-Hill.
  • Elbashbeshy E.M.A. (2001): Heat transfer over an exponentially stretching continuous surface with suction. - Arch. Mech., vol.53, pp.643-651.
  • Fang T. and Zhang J. (2010): Note on the heat transfer of flows over a stretching wall in porous media: exact solutions. - Transp. Porous Med., doi: 10.1007/s11242-010-9640-6.
  • 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.
  • Ishak A., Nazar R. and Pop I. (2006): Steady and unsteady boundary layers due to a stretching vertical sheet in aporous medium using Darcy-Brinkman equation model. - Int. J. Appl. Mech. Eng., vol.11, pp.623-637.
  • Khan S.K. and Sanjayanand S.K. (2005): Viscoelastic boundary layer flow and heat transfer over an exponentialstretching sheet. - Int. J. Heat Mass Transfer, vol.48, pp.1534-1542.
  • Kumaran V. and Ramanaih G. (1996): A note on the flow over stretching sheet. - Arch. Mech., vol.116, pp.229-233.
  • Liu I.C. (2005): Exact solutions for a fluid-saturated porous medium with heat and mass transfer. - J. Mech., vol.21, pp.57-62.
  • Liu I.C. (2006): Flow and heat transfer of viscous fluids saturated in porous media over a permeable non-isothermalstretching sheet. - Transp. Porous Med., vol.64, pp.375-392.
  • Mahantesh M. Nandeppanavar, Abel M.S. and Vajravelu K. (2010): Flow and heat transfer characteristics ofviscoelastic fluid in a porous medium over an impermeable stretching sheet with viscous dissipation. - Int. J. Heat and Mass Transfer, vol.53, pp.4707-4713.
  • Mahantesh M. Nandeppanavar, Vajravelu K. and Abel M.S. (2011): Heat transfer in MHD viscoelastic boundary layerflow over a stretching sheet with thermal radiation and non-uniform heat source/sink. - Communications in Non- Linear science and Numerical Simulations (Article in press).
  • Magyari E. and Keller B. (1999): Heat mass transfer in the boundary layers on an exponentially stretching sheet. - J. Phys. D: Appl. Phys., vol.32, 577-585.
  • Mukhopadhyay S. (2009): Unsteady boundary layer flow and heat transfer past a porous stretching sheet in presence ofvariable viscosity and thermal diffusivity. - Int. J. Heat Mass Transfer, vol.52, pp.5213-521.
  • Mukhopadhyay S. (2009): Effect of thermal radiation on unsteady mixed convection flow and heat transfer over aporous stretching surface in porous medium. - Int. J. Heat Mass Transfer, vol.52, pp.3261-3265.
  • Noor N.F.M. and Hashim I. (2010): Thermocapillary and magnetic field effects in a thin liquid film on an unsteadystretching surface. - Int. J. Heat Mass Transfer, vol.53, pp.2044-2051.
  • Pal D. and Hiremath P.S. (2010): Computational modeling of heat transfer over an unsteady stretching surfaceembedded in a porous medium. - Acta Mech. DOI10.1007/s11012009-9254-7.
  • Partha M.K., Murthy P.V.S.N. and Rajasekhar G.P. (2005): Effect of viscous dissipation on the mixed convection ofheat transfer from an exponential stretching surface. - Heat Mass Transfer, vol.41, pp.360-366.
  • Sajid M. and Hayat T. (2008): Influence of thermal radiation on the boundary layer flow due to an exponentiallystretching sheet. - Int. Comm. Heat Mass Transfer, vol.35, pp.347-356.
  • Sakiadis B.C. (1961): Boundary layer behavior on continuous solid surface. - AIChE J 7, pp.26- 28.
  • Sanjayanand E. and Khan S.K. (2006): On heat and mass transfer in viscoelastic boundary layer flow over anexponentially stretching sheet. - Int. J. Therm. Sci., vol.45, pp.819-828.
  • Tamayol A., Hooman K. and Bahrami M. (2010): Thermal analysis of flow in a porous medium over a permeablestretching wall. - Transp. Porous Med. doi:10.1007/s11242-010-9584-x.
  • Vajravelu K. (2001): Viscous flow over a non-linearly stretching sheet. - Appl. Math. Comput., vol.124, pp.281-288.
  • Vajravelu K. and Cannon J.R. (2006): Fluid flow over a non-linearly stretching sheet. - Appl. Math. Comput., vol.181, pp.609-618.
  • Ziabakhsh Z., Domairry G., Bararnia H. and Babazadeh (2010): Analytical solution of flow and diffusion of chemicallyreactive species over a nonlinearly stretching sheet immersed in a porous medium. - J. Taiwan Inst. Chem. Eng., vol.41, pp.22-28.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-5f3c408a-ffce-47b1-ba5e-f8e97a86c772
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