A similarity analysis is performed to study the fluid flow and heat transfer characteristics for the steady laminar forced convection boundary-layer flow past a semi-infinite horizontal plate in the presence of mass transfer, i.e., suction or blowing. The plate is subjected either to a nonuniform heat flux or nonuniform wall temperature. The heat flux q w ( x ¯ ) is assumed to vary in the following form q w ( x ¯ ) = a x ¯ m , whereas the wall temperature T ¯ w ( x ¯ ) is assumed to vary as T ¯ w ( x ¯ ) T ¯ = b x ¯ n . Numerical results are obtained for various values of Prandtl number, suction or injection parameter ξ s , as well as for various levels of heating m or n . The effects of various values of Prandtl number P r , suction or injection parameter ξ s , and the index m or n on velocity profiles, temperature profiles, skin-friction coefficients, and local Nusselt number are presented. The results of the present general theory agree well with previously published results for the case of constant wall temperature (the only case with quantitative solutions that were available in the literature). Subtle new flow physics, such as a sharp reduction in the Nusselt number with increasing Prandtl number when mass injection is present and the Prandtl number is large, has been elucidated.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Similarity Theory for Forced Convection over Horizontal Plates


    Contributors:

    Published in:

    Publication date :

    2013-07-01




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





    Laminar Forced Convection Modeling of Isothermal Rectangular Plates

    M. M. Yovanovich / P. Teertstra | AIAA | 2001


    Experiments on Forced Convection Heat Transfer From Slotted Transpired Plates

    Golneshan, A. A. / Hollands, K. G. T. / Canadian Society for Mechanical Engineering | British Library Conference Proceedings | 1998


    Effects of Buoyancy on EHD-Enhanced Forced Convection in a Horizontal Channel

    Lai, F. C. / Mathew, J. / Zhang, J. M. et al. | British Library Conference Proceedings | 1997