Homotopy semi-numerical simulation of peristaltic flow of generalised Oldroyd-B fluids with slip effects

TRIPATHI, Dharmendra, BEG, Osman and CURIEL-SOSA, Jose Luis (2012). Homotopy semi-numerical simulation of peristaltic flow of generalised Oldroyd-B fluids with slip effects. Computer Methods in Biomechanics and Biomedical Engineering, 1-10. (In Press)

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Abstract

This investigation deals with the peristaltic flow of generalised Oldroyd-B fluids (with the fractional model) through a cylindrical tube under the influence of wall slip conditions. The analysis is carried out under the assumptions of long wavelength and low Reynolds number. Analytical approximate solutions are obtained by using the highly versatile and rigorous semi-numerical procedure known as the homotopy analysis method. It is assumed that the cross section of the tube varies sinusoidally along the length of the tube. The effects of the dominant hydromechanical parameters, i.e. fractional parameters, material constants, slip parameter, time and amplitude on the pressure difference across one wavelength, are studied. Graphical plots reveal that the influence of both fractional parameters on pressure is opposite to each other. Interesting responses to a variation in the constants are obtained. Pressure is shown to be reduced by increasing the slip parameter. Furthermore, the pressure in the case of fractional models (fractional Oldroyd-B model and fractional Maxwell model) of viscoelastic fluids is considerably more substantial than that in the corresponding classical viscoelastic models (Oldroyd-B and Maxwell models). Applications of the study arise in biophysical food processing, embryology and gastro-fluid dynamics.

Item Type:	Article
Research Institute, Centre or Group:	Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
Identification Number:	10.1080/10255842.2012.688109
Depositing User:	Hilary Ridgway
Date Deposited:	06 Jun 2012 09:56
Last Modified:	06 Jun 2012 09:56
URI:	http://shura.shu.ac.uk/id/eprint/5309

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