Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 14, Issue 12, Pages 4100-4113Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2009.02.032
Keywords
Heat transfer; Herschel-Bulkley fluid; Non-uniform inclined tube; Peristaltic transport
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Peristaltic transport in a two-dimensional non-uniform tube filled with Herschel-Bulkley fluid is studied under the assumptions of long wavelength and low Reynold number. The fluid flow is investigated in the wave frame of reference moving with the velocity of the peristaltic wave. Exact solution for the velocity field, the temperature profile, the stream functions and the pressure gradient are obtained. The physical behavior Of tau, n, alpha and phi on the pressure rise versus flow rate are discussed through graphs. At the end of the article trapping phenomena for Herschel-Bulkley and also for Newtonian, Bingham and power law (which are the special cases of Herschel-Bulkley fluid) fluid are discussed. (C) 2009 Elsevier B.V. All rights reserved.
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