Peristaltic flow and heat transfer in a vertical porous annulus, with long wave approximation

    Authors

    K. Vajravelu; G. Radhakrishnamacharya;V. Radhakrishnamurty

    Comments

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    Abbreviated Journal Title

    Int. J. Non-Linear Mech.

    Keywords

    peristaltic flow; pressure drop; heat transfer; porous annulus; HERSCHEL-BULKLEY FLUID; TRANSPORT; TRANSLOCATION; CHANNEL; TUBE; Mechanics

    Abstract

    In this paper, we study the interaction of peristalsis with heat transfer for the flow of a viscous fluid in a vertical porous annular region between two concentric tubes. Long wavelength approximation (that is, the wavelength of the peristaltic wave is large in comparison with the radius of the tube) is used to linearise the governing equations. Using the perturbation method, the solutions are obtained for the velocity and the temperature fields. Also, the closed form expressions are derived for the pressure-flow relationship and the heat transfer at the wall. The effect of pressure drop on flux is observed to be almost negligible for peristaltic waves of large amplitude; however, the mean flux is found to increase by 10-12% as the free convection parameter increases from 1 to 2. Also, the heat transfer at the wall is affected significantly by the amplitude of the peristaltic wave. This warrants further study on the effects of peristalsis on the flow and heat transfer characteristics. (c) 2007 Elsevier Ltd. All rights reserved.

    Journal Title

    International Journal of Non-Linear Mechanics

    Volume

    42

    Issue/Number

    5

    Publication Date

    1-1-2007

    Document Type

    Article

    Language

    English

    First Page

    754

    Last Page

    759

    WOS Identifier

    WOS:000248634700005

    ISSN

    0020-7462

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