Second order slip flow and heat transfer over a stretching sheet with non-linear Navier boundary condition

    Authors

    M. M. Nandeppanavar; K. Vajravelu; M. S. Abel;M. N. Siddalingappa

    Comments

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    Abbreviated Journal Title

    Int. J. Therm. Sci.

    Keywords

    Second-order slip model; Exact solution; Shooting technique; Runge-Kutta; method; Mass transfer; Stretching sheet; STOKES EQUATIONS; LAYER EQUATIONS; VISCOUS-FLOW; SURFACE; DUCTS; Thermodynamics; Engineering, Mechanical

    Abstract

    In this paper, we analyze the second order slip flow and heat transfer over a stretching sheet. The governing partial differential equations of the flow and heat transfer are reduced into non-linear ordinary differential equations. An exact solution for the momentum equation is obtained and the governing energy equation is solved numerically by a fourth order Runge-Kutta method with shooting technique. The effects of various physical parameters such as the mass transfer parameter s, the first order slip parameter gamma and the second order slip parameter delta on the fluid flow are analyzed (through graphs). Also the effects of the above said parameters (s, gamma, delta) and the Prandtl number Pr on heat transfer are investigated and discussed for two general heating conditions (i) prescribed surface temperature (PST case) and (ii) prescribed heat flux (PHF case). Furthermore, the numerical results for the wall temperature gradient (the Nusselt number) in PST case and wall temperature in PHF case are presented in a table and the salient features are discussed. (C) 2012 Elsevier Masson SAS. All rights reserved.

    Journal Title

    International Journal of Thermal Sciences

    Volume

    58

    Publication Date

    1-1-2012

    Document Type

    Article

    Language

    English

    First Page

    143

    Last Page

    150

    WOS Identifier

    WOS:000305104000016

    ISSN

    1290-0729

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