THERMAL SCIENCE

International Scientific Journal

Dharmendra Tripathi

,

Praveen Kumar Gupta

,

Subir Das

INFLUENCE OF SLIP CONDITION ON PERISTALTIC TRANSPORT OF A VISCOELASTIC FLUID WITH FRACTIONAL BURGER’S MODEL

ABSTRACT
The investigation is to explore the transportation of a viscoelastic fluid with fractional Burgers’ model by peristalsis through a channel under the influence of wall slip condition. This analysis has been carried out under the assumption of long wavelength and low Reynolds number. An approximate analytical solution of the problem is obtained by using Homotopy Analysis method (HAM). It is assumed that the cross-section of the channel varies sinusoidally along the length of channel. The expressions for axial velocity, volume flow rate and pressure gradient are obtained. The effects of fractional parameters α and β, material constants λ1,λ2,λ3, slip parameter k and amplitude φ on the pressure difference and friction force across one wavelength are discussed numerically and with the help of illustrations.
KEYWORDS
fractional Burgers fluid, pressure difference, friction force, homotopy analysis method
PAPER SUBMITTED: 2009-09-24
PAPER REVISED: 2010-02-14
PAPER ACCEPTED: 2010-04-14
DOI REFERENCE: https://doi.org/10.2298/TSCI1102501T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2011, VOLUME 15, ISSUE Issue 2, PAGES [501 - 515]
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Influence of slip condition on peristaltic transport of a viscoelastic fluid with fractional Burger’s model

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence