The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum

Authors

    Authors

    K. Vajravelu; S. Sreenadh;P. Lakshminarayana

    Comments

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    Abbreviated Journal Title

    Commun. Nonlinear Sci. Numer. Simul.

    Keywords

    Peristaltic transport; Jeffrey fluid; Porous stratum; Heat transfer; Bolus trapping phenomena; HERSCHEL-BULKLEY FLUID; JOHNSON-SEGALMAN FLUID; POWER-LAW FLUID; ASYMMETRIC CHANNEL; MAGNETIC-FIELD; NEWTONIAN FLUID; WALL PROPERTIES; MASS-TRANSFER; FLOW; ANNULUS; Mathematics, Applied; Mathematics, Interdisciplinary Applications; Mechanics; Physics, Fluids & Plasmas; Physics, Mathematical

    Abstract

    The peristaltic flow of a Jeffrey fluid in a vertical porous stratum with heat transfer is studied under long wavelength and low Reynolds number assumptions. The nonlinear governing equations are solved using perturbation technique. The expressions for velocity, temperature and the pressure rise per one wave length are determined. The effects of different parameters on the velocity, the temperature and the pumping characteristics are discussed. It is observed that the effects of the Jeffrey number lambda(1), the Grashof number Gr, the perturbation parameter N = EcPr, and the peristaltic wall deformation parameter phi are the strongest on the trapping bolus phenomenon. The results obtained for the flow and heat transfer characteristics reveal many interesting behaviors that warrant further study on the non-Newtonian fluid phenomena, especially the shear-thinning phenomena. Shear-thinning reduces the wall shear stress. (C) 2010 Elsevier B.V. All rights reserved.

    Journal Title

    Communications in Nonlinear Science and Numerical Simulation

    Volume

    16

    Issue/Number

    8

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    3107

    Last Page

    3125

    WOS Identifier

    WOS:000289601700018

    ISSN

    1007-5704

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