Xu Xuezi, Shi Junmei, Fan Jianren. Group Theory Analysis of Mixed Convection over a Horizontal Moving Plate[J]. Applied Mathematics and Mechanics, 1997, 18(6): 563-571.
Citation: Xu Xuezi, Shi Junmei, Fan Jianren. Group Theory Analysis of Mixed Convection over a Horizontal Moving Plate[J]. Applied Mathematics and Mechanics, 1997, 18(6): 563-571.

Group Theory Analysis of Mixed Convection over a Horizontal Moving Plate

  • Received Date: 1995-11-17
  • Rev Recd Date: 1996-09-02
  • Publish Date: 1997-06-15
  • In the present paper, the investigation to the mixed convective boundary-layer behavior over a horizontal plate is carried out. By applying transformation group theory, the analysis of the governing equations of continuity, momentum. energy and diffusion shows the existence of similarity solution for the problem provided that the temperature and concentration at the wall are proportional to x4/(7-5n) and that the moving speed of the plate is proportional to x(3-n)/(7-5n), furthermore, a set of similarity equations is obtained. The similarity equations are solved numerically by a fourth-order Runge-Kutta scheme. The numerical results obtained for velocity,temperature and concentration distributions for Pr=0.72 and various values of the parameters Sc, K1, K2 and K3 reveals the influence of these parameters on the flow,and heat and mass transfer behavior.
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  • [1]
    E.M.Sparrow and W.J.Minkowycz.Buoyancy effects on horizontal boundary-layerflow and heat transfer,Int.J.Heat Mass Transfer,5 (1962),505~511.
    [2]
    T.S.Chen,E.M.Sparrow and A.Mucoglu,Mixed convection in boundary layer flow on a horizontal plate,ASME J.Heat Transfer,99 (1977),66~71.
    [3]
    W.Schneider,A similarity solution for combined forced and free convection now over a horizontal plate,Int.J.Heat Mass Trasfer,22 (1979),1041~1046.
    [4]
    J.Dey,Mixed convection flow over a semi-infinite horizontal plate with vectored mass transfer,ASME J Heat Transfer,104 (1982),558~560.
    [5]
    F.R.de Hoog,B.Laminger and R.Weiss,A numerical study of similarity solutions for combined forced and free convection,Acta Mech.,51 .(1984),139~149.
    [6]
    N.Afzal and T.Hussain,Mixed convection over a horizontal plate,ASME J Heat Transfer.106 (1984),240~241.
    [7]
    N.Ramachandran,B.F.Armaly and T.S.Chen,Mixed convection over a horizontal plate,ASME J Heat Transfer,105 (1983),420~423.
    [8]
    J.H.Merkin and D.B.Ingham,Mixed convection similarity solutions on a horizontal surface,ZAMP,38 (1987).102~115.
    [9]
    A.J.A.Morgan,The reduction by one of the number of independent variables in some systems of partial differential equations,Quart.J Math.,Oxford,Ser.,2 (1952),250~259.
    [10]
    A.G.Hansen,Similarity Analysis of Boundary Value Problems in Engineering,PrenticeHall (1964).
    [11]
    W.F.Ames,Nonlinear Partial Differential Equations in Engineering.Vol.Ⅱ,Academic Press,New York,London (1972).
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