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Dharmendra Tripathi

PERISTALTIC FLOW OF A FRACTIONAL SECOND GRADE FLUID THROUGH A CYLINDRICAL TUBE

ABSTRACT
The investigation is to explore the transportation of a viscoelastic fluid with fractional second grade model by peristalsis through a cylindrical tube under the assumptions of long wavelength and low Reynolds number. Analytical solution of problem is obtained by using Caputo’s definition. It is assumed that the cross-section of the tube varies sinusoidally along the length of tube. The effects of fractional parameter, material constant and amplitude on the pressure and friction force across one wavelength are discussed numerically with the help of illustrations. It is found that pressure decreases with increase in fractional parameter whereas increases with increase in magnitude of material constant or time. The pressure for the flow of second grade fluid is more than that for the flow of Newtonian fluid.
KEYWORDS
fractional second grade model, pressure, friction force, caputo's fractional derivative
PAPER SUBMITTED: 2010-03-05
PAPER REVISED: 2010-07-01
PAPER ACCEPTED: 2010-08-24
DOI REFERENCE: https://doi.org/10.2298/TSCI100503061T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2011, VOLUME 15, ISSUE Supplement 2, PAGES [S167 - S173]
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Peristaltic flow of a fractional second grade fluid through a cylindrical tube

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