MHD flow and heat transfer of a UCM fluid over a stretching surface with variable thermophysical properties

Authors

    Authors

    K. V. Prasad; A. Sujatha; K. Vajravelu;I. Pop

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    Abbreviated Journal Title

    Meccanica

    Keywords

    Magnetohydrodynamics (MHD); Stretching sheet; UCM fluid; Heat transfer; Variable thermophysical properties; Numerical solution; CONVECTED MAXWELL FLUID; CONTINUOUS SOLID SURFACES; BOUNDARY-LAYER; EQUATIONS; SATURATED POROUS-MEDIUM; STAGNATION-POINT FLOW; VISCOELASTIC; FLUID; MIXED CONVECTION; HYDROMAGNETIC FLOW; MOVING SURFACE; SAKIADIS; FLOW; Mechanics

    Abstract

    In this paper we investigate the effects of temperature-dependent viscosity, thermal conductivity and internal heat generation/absorption on the MHD flow and heat transfer of a non-Newtonian UCM fluid over a stretching sheet. The governing partial differential equations are first transformed into coupled non-linear ordinary differential equation using a similarity transformation. The resulting intricate coupled non-linear boundary value problem is solved numerically by a second order finite difference scheme known as Keller-Box method for various values of the pertinent parameters. Numerical computations are performed for two different cases namely, zero and non-zero values of the fluid viscosity parameter. That is, 1/theta (r) - > 0 and 1/theta (r) not equal 0 to get the effects of the magnetic field and the Maxwell parameter on the velocity and temperature fields, for several physical situations. Comparisons with previously published works are presented as special cases. Numerical results for the skin-friction co-efficient and the Nusselt number with changes in the Maxwell parameter and the fluid viscosity parameter are tabulated for different values of the pertinent parameters. The results obtained for the flow characteristics reveal many interesting behaviors that warrant further study on the non-Newtonian fluid phenomena, especially the UCM fluid phenomena. Maxwell fluid reduces the wall-shear stress.

    Journal Title

    Meccanica

    Volume

    47

    Issue/Number

    6

    Publication Date

    1-1-2012

    Document Type

    Article

    Language

    English

    First Page

    1425

    Last Page

    1439

    WOS Identifier

    WOS:000305012400009

    ISSN

    0025-6455

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