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Unsteady/steady natural convection flow of reactive viscous fluid in a vertical annulus

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper presents both analytical and numerical analyses of a fully developed unsteady/steady natural convection flow of a reactive viscous fluid in an open ended vertical annulus. Analytical expressions for velocity, temperature, skin-friction and rate of heat transfer are obtained after simplifying and solving the governing differential equations with reasonable approximations. The interesting result found in this study is that an increase in non-dimensional time (t) , increases both temperature and velocity profiles until a steady-state value is attained. Subsequent results obtained by numerical calculations show excellent agreement with analytical results.
Rocznik
Strony
73--83
Opis fizyczny
Bibliogr. 20 poz., wykr.
Twórcy
autor
  • Department of Mathematics, Ahmadu Bello University Zaria, NIGERIA
  • Department of Mathematics, Ahmadu Bello University Zaria, NIGERIA
  • Department of Mathematics, Ahmadu Bello University Zaria, NIGERIA
Bibliografia
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  • Chao B.H., Wang H. and Cheng P. (1996): Stagnation point flow of a chemically reactive fluid in a catalytic porousbed. - International Journal of Heat and Mass Transfer, vol.39, pp.3003-3019.
  • Chaudary M.A. and Merkin J.H. (1994): Free-convection stagnation-point boundary layers driven by catalytic surfacereactions: I The steady states. - Journal of Engineering Mathematics, vol. 28, pp.145-171.
  • Dainton F.S. (1960): Chain Reaction. An introduction. - New York: Willey.
  • El-shaarawi M.A.I. and Al-Nimr M.A. (1990): Fully developed laminar natural convection in open-ended verticalconcentric annuli. - Int. J. Heat Mass Transfer, vol.9, pp.1873-1884.
  • El-shaarawi M.A.I. and Sarhan A. (1981): Developing laminar free convection in an open ended vertical annulus with arotating inner cylinder. - ASME, J. Heat Transfer, vol.103, pp.552-558.
  • Frank Kamenetskii D.A. (1969): Diffusion and Heat Transfer in Chemical Kinetics. -New York: Plenum Press.
  • Hosseini R., Heyrani-Nobari M.R. and Hatam M. (2005): An experimental study of heat transfer in an open-endedvertical eccentric annulus with insulated and constant heat flux boundaries. - Applied Thermal Engineering, vol.25, No.8-9, pp.1247-1257.
  • Jha B.K. (2001): Transient free-convective flow in a vertical channel with heat sinks. - Int. J. Appl. Mech. and Eng. vol.6, No.2, pp.279-286.
  • Jha B.K., Singh A.K. and Takhar H.S. (2003): Transient free-convective flow in a vertical channel due to symmetricheating. - Int. J. Appl. Mech. Eng., vol.8, No.3, pp.497-502.
  • Jha B.K and Ajibade A.O. (2010): Transient natural convection flow between vertical parallel plates: one plateisothermally heated and the other thermally insulated. - J. Process Mechanical Engineering, vol.224, Part E.
  • Jha B.K., Samaila A.K. and Ajibade A.O. (2011): Transient free-convective flow of reactive viscous fluid in a verticalchannel. - International Communication in Heat and Mass Transfer, Elsevier, vol.38, pp.633-637.
  • Merkin J.H. and Chaudary M.A. (1994): Free-convection boundary layers on vertical surfaces driven by an exo-thermicsurface reaction. - Quarterly Journal of Mechanics and Applied Mathematics, vol.47, pp.405-428.
  • Makinde O.D. (2005): Strongly exo-thermic explosions in a cylindrical pipe: a case study of series summationtechnique. - Mechanics Research Communications, vol.32, pp.191-195.
  • Makinde O.D. (2006): Thermal ignition in a reactive viscous flow through a channel filled with a porous medium. - A.S.M.E. J. Heat Transfer, vol.128, pp.601-604.
  • Makinde O.D. (2008): Thermal criticality in viscous reactive flows through channels with a sliding wall: Anexploitation of the Hermite-Pade approximation method. - Mathematical and Computer Modelling, vol.47, pp.312-317.
  • Mint B.J., Ingham D.B. and Pop I. (1998): Free convective driven by an exothermic reaction on a vertical surfaceembedded in porous media. - Int. J. Heat Mass Transfer, vol.41, No.1, pp.11-23.
  • Singh A.K., Gholami H.R. and Soundalgeker V.M. (1996): Transient free convective flow between two vertical parallelplates. - Heat Mass Transfer, vol.31, No.5, pp.329-331.
  • Tsao H.K. (2000): Note on electroosmotic flow through an annulus. - Journal of Colloid and Interface Science, vol.225, pp.247-250.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ef53f853-7754-4d0b-b60e-1b4376d1090f
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