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Exact solutions for incompressible couette flow with constant temperature and constant heat flux on walls in the presence of radiation

Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
The present paper investigates a closed form solution for the transient free convection flow of a viscous incompressible fluid between two infinite vertical paranel plates in the presence of radiation. The flow is set up due to free convective currents occurring as a result of application of a constant heat flux (CHF) at one wall and a constant temperature on the other wall. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The goveming coupled non-linear partial differential equations have been solved exactly using the Laplace-transform technique. The numerical values obtained from analytical expressions of velocity, temperature, skin-mction and the Nusselt number have been presented graphically to study the behaviour of flow on the momentum and thermal boundary layer.
Rocznik
Strony
929--939
Opis fizyczny
Bibliogr. 26 poz., wykr.
Twórcy
autor
Bibliografia
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  • Brereton G.J. and Jiang Y. (2006): Convective heat transfer in unsteady laminar parallel flows. - Physics of Fluids, vol.18, No.10, pp.103602-103602-15.
  • Chandran Pallath, Sacheti N.C. and Singh A.K. (1998): Unsteady hydro-magnetic free convection flow with heat flux and accelerated boundary motion. - Journal of the Physical Society of Japan, vol.67, No.1, pp.124-129.
  • Chandran Pallath, Sacheti N.C. and Singh A.K. (2002): On laminar boundary layer flow of electrically conducting liquids near an accelerated vertical plate. - Phys. Chem. Liq., vol.40, No.3, pp.241-254.
  • Incropera F.P. and Dewitt D.P. (1966): Fundamentals of Heat and Mass Transfer. - New York: (4th edn.) Wiley.
  • Jha B.K., Singh A.K. and Takhar H.S. (2003): Transient free convection flow in a vertical channel due to symmetric heating. - Int. J. Applied Mechanics and Engineering, vol.8, pp.497-502.
  • Joshi H.M. (1988): Transient effects in natural convection cooling of vertical parallel plates. - Int. Comm. Heat Mass Transfer, vol.15, pp.227-238.
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  • Miyatake O., Tanaka H., Fujii T. and Fujii M. (1973): Natural convective heat transfer between vertical parallel plates - one plate with a uniform heat flux and the other thermally insulated. - Heat Transfer -Jap. Res., vol.2, pp.25-33.
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  • Ostrach S. (1952): Laminar natural convection flow and heat transfer of fluids with and without heat sources in channels with constant wall temperature. - NASA TN No.2863.
  • Ostrach S. (1954): Combined natural and forced convection laminar flow and heat transfer of fluid with and without heat sources in channels with linearly varying wall temperature. - NASA TN No.3141.
  • Paul T., Jha B.K. and Singh A.K. (1996): Transient free convective flow in a channel with constant temperature and constant heat flux on walls. - Heat and Mass Transfer, vol.32, pp.61-63.
  • Raptis A. and Massalas C.V. (1998): Magnetohydrodynamic flow past a plate by the presence of radiation. - Heat and Mass Transfer, vol.34, pp.107-109.
  • Raptis A. and Perdikis C. (1999): Radiation and free convection flow past a moving plate. - Int. J. of Applied Mechanics and Engineering, vol.4, pp.817-821.
  • Raptis A. and Perdikis C. (2003): Thermal radiation of an optically thin gray gas. - Int. J. of Applied Mechanics and Engineering, vol.8, pp.131-134.
  • Raptis A. and Perdikis C. (2004): Unsteady flow through a highly porous medium in the presence of radiation. - Transport in Porous Media, vol.57, pp.171-179.
  • Raptis A., Perdikis C. and Leontitsis A. (2003): Effects of radiation in an optically thin gray gas flowing past a vertical infinite plate in the presence of a magnetic field. - Heat and Mass Transfer, vol.39, pp.771-773.
  • Sacheti N.C., Chandran P. and Singh A.K. (1994): An exact solution for unsteady magnetohydrodynamic free convection with constant heat flux. - Int. Comm. Heat Mass Transfer, vol.21, pp.131-142.
  • Singh A.K. (1988): Natural convection in unsteady Couette motion. - Def. Sci. J., vol.38, pp.35-41.
  • Singh A.K. and Paul T. (2006): Transient natural convection between two vertical walls heated/cooled asymmetrically. - Int. J. of Applied Mechanics and Engineering, vol.11, No.1, pp.143-155.
  • Singh A.K., Gholami H.R. and Soundalgekar V.M. (1996): Transient free convection flow between two vertical parallel plates. - Heat and Mass Transfer, vol.31, pp.329-332.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0034-0027
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