AbstractA mathematical model for free convective boundary-layer flow of a nanofluid with second-order velocity slip over a permeable vertical flat plate has been presented. The system of governing equations is first nondimensionalized, and then similarity transformations are used to convert the governing partial differential equations into a set of coupled ordinary differential equations. A numerical algorithm is applied to this boundary value problem (BVP) of coupled ordinary differential equations. Collocation method is used for the solution of the nonlinear ordinary BVP. The dimensionless analysis revealed that the dimensionless field variables (velocity, temperature, and nanoparticle volume fraction), and the flow characteristics (skin friction factor, heat transfer, and nanoparticle volume fraction transfer) in the respective boundary layers depend on the Prandtl number (Pr), the Lewis numbers (Le), the thermophoresis parameter (Nt), the Brownian motion parameter (Nb), the buoyancy ratio parameter (Nr), the convective parameter (γ), the reaction parameter (K), first-order velocity slip parameter (a), and second-order velocity slip parameter (b). Flow field and physical quantities strongly depend on the governing parameters. The present problem has applications in nanofluid synthesis for medicine. A tabular validation of the present numerical approach with the existing results in the literature is provided as a limiting case.


    Access

    Access via TIB

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Numerical Study of Free Convective Flow of a Nanofluid over a Chemically Reactive Porous Flat Vertical Plate with a Second-Order Slip Model



    Published in:

    Publication date :

    2016




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    55.50 Luftfahrzeugtechnik / 55.60 Raumfahrttechnik / 51.40 Werkstoffe für bestimmte Anwendungsgebiete
    Local classification TIB:    770/7040





    Radiative Convective Nanofluid Flow Past a Stretching/Shrinking Sheet with Slip Effects

    Uddin, Md. Jashim / Bég, O. Anwar / Ismail, Ahmad Izani | AIAA | 2015



    Natural Convective Heat Transfer from a Narrow Isothermal Vertical Flat Plate

    Oosthuizen, P. / Paul, J. / American Institute of Aeronautics and Astronautics | British Library Conference Proceedings | 2006