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Unsteady flow and heat transfer of three immiscible fluids

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problem of unsteady flow and heat transfer of three immiscible viscous fluids has been studied in a horizontal channel. The fluids in all the three regions are assumed to be incompressible with different viscosities and thermal conductivities. The channel walls are maintained at two different constant temperatures. The partial differential equations governing the flow are transformed to ordinary differential equations using the exponential function of periodic frequency parameter and exact solutions are found. The expressions for velocity and temperature distributions are computed numerically for different values of physical parameters governing the flow and the results are presented graphically. It is found that the flow can be controlled choosing suitable values of ratios of viscosities, height ratios, pressure, conductivity ratios, the Eckert number, frequency parameter and periodic frequency parameters. In addition, closed form expression for the rate of heat transfer at the top and bottom walls are derived and are tabulated.
Rocznik
Strony
1079--1100
Opis fizyczny
Bibliogr. 15 poz., wykr.
Twórcy
autor
Bibliografia
  • Alireza S. and Sahai V. (1990): Heat transfer in developing magnetohydrodynamic Poiseuille flow and variable transport properties. - Int. J. Heat Mass Transfer, vol.33, pp.1711-1720.
  • Goldstein S. (1938): Modern Developments in Fluid Dynamics. - Oxford University Press.
  • Hsiao-Tsung Lin and Yen-Ping Shih (1981): Unsteady thermal entrance heat transfer of power law fluids in pipes and plate slits. - Int. J. Heat Mass Transfer, vol.24, pp.1531-1539.
  • Krishnan B. (1982): On conjugated heat transfer in fully developed flow. - Int. J. Heat Mass Transfer, vol.25, pp.288-291.
  • Lighthill M.J. (1954): The response of laminar skin-friction and heat transfer to fluctuations in the stream velocity. - Proc. Royl. Soc. A 224, pp.1-23.
  • Lohrasbi J. and Sahai V. (1988): Magnetohydrodynamic heat transfer in two phase flow between parallel plates. - Appl.Sci.Res., vol.45, pp.53-66.
  • Malashetty M.S. and Leela V. (1992): Magnetohydrodynamic heat transfer in two phase flow. - Int. J. Eng. Sci., vol.30, pp.371-377.
  • Malashetty M.S. and Umavathi J.C. (1997): Two phase magnetohydrodynamic flow and heat transfer in an inclined channel. - Int. J. Multiphase Flow, vol.23, pp.545-560.
  • Malashetty M.S., Umavathi J.C. and Prathap Kumar J. (2001): Convective flow and heat transfer in a composite porous medium. - Journal of Porous Media, vol.4, pp.15-22.
  • Malashetty M.S., Umavathi J.C. and Prathap Kumar J. (2004): Two fluid flow and heat transfer in an inclined channe containing porous and fluid layer. - J. Heat Mass Transfer, vol.40, pp.871-876.
  • Packham B.A. and Shail R. (1971): Stratified laminar flow of two immiscible fluids. - Proc. Camb. Phil. Soc., vol.69, pp.443-448.
  • Perlmutter A. and Siegel R. (1961): Two dimensional unsteady incompressible laminar duct flow with a step change in wall temperature. - Int. J. Heat Mass Transfer, vol.3, pp.94-107.
  • Siegel R. (1960): Heat transfer in laminar flow in ducts with arbitrary time variations in wall temperature. - J. Appl. Mech. Trans. ASME, vol.27, pp.241-249.
  • Siegel R. and Perlmutter A. (1963): Laminar heat transfer in a channel with unsteady flow and wall heating varying with position and time. - J. Heat Transfer, vol.85, pp.358-365.
  • Umavathi J.C., Malashetty M.S. and Mateen A. (2004): Fully developed flow and heat transfer in a horizontal channel containing an electrically conducting fluid sandwiched between two fluid layers. - Int. J. Applied Mechanics and Eng., vol.9, pp.781-794.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0040-0014
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