Flow and heat transfer characteristics of a viscoelastic fluid in a porous medium over an impermeable stretching sheet with viscous dissipation

    Authors

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

    Comments

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    Abbreviated Journal Title

    Int. J. Heat Mass Transf.

    Keywords

    Impermeable stretching sheet; Porous medium; Viscous dissipation; Kummer's function; BOUNDARY-LAYER-FLOW; ELECTRICALLY CONDUCTING FLUID; TRANSVERSE; MAGNETIC-FIELD; MICROPOLAR FLOW; MHD FLOW; 2ND-GRADE; SURFACES; BEHAVIOR; SUBJECT; SUCTION; Thermodynamics; Engineering, Mechanical; Mechanics

    Abstract

    By considering the recent developments in porous media, the correction to the fundamental error made by many researchers, while formulating the flow and heat transfer in porous medium over stretching surface has been incorporated in this present problem, which is still open in the literature. Here an analysis is carried out to study the flow and heat transfer characteristics in a viscoelastic fluid flow in porous medium over a stretching surface with two general cases namely PST and PHF cases, including the effects of viscous dissipation. The partial differential equations governing the flow and heat transfer are converted into ordinary differential equations and boundary conditions by suitable similarity transformation. The proposed problem has been solved analytically by power series method (using Kummer's function). The graphical results for velocity, wall frictional coefficient and temperature are presented and discussed. Furthermore, it is shown that porous medium has same effect on the flow as viscoelasticity and it is also shown that the heat flow is always from the stretching sheet to the fluid. The numeric values of wall frictional coefficient 1/2C(f)Re(x)(1/2), surface velocity gradient f(eta eta)(0) and wall temperature gradient 0(eta)(0) and wall temperature g(0) are also calculated, tabulated and discussed. (C) 2010 Elsevier Ltd. All rights reserved.

    Journal Title

    International Journal of Heat and Mass Transfer

    Volume

    53

    Issue/Number

    21-22

    Publication Date

    1-1-2010

    Document Type

    Article

    Language

    English

    First Page

    4707

    Last Page

    4713

    WOS Identifier

    WOS:000281383700028

    ISSN

    0017-9310

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