Table of Contents
Journal of Fluids
Volume 2016, Article ID 7506953, 8 pages
http://dx.doi.org/10.1155/2016/7506953
Research Article

Mathematical Analysis on Heat Transfer during Peristaltic Pumping of Fractional Second-Grade Fluid through a Nonuniform Permeable Tube

1Department of Applied Sciences and Humanities, Kamla Nehru Institute of Technology, Sultanpur, Uttar Pradesh 228118, India
2Department of Mechanical Engineering, Kamla Nehru Institute of Technology, Sultanpur, India

Received 8 March 2016; Accepted 19 May 2016

Academic Editor: Jose M. Montanero

Copyright © 2016 Siddharth Shankar Bhatt et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This mathematical study is related to heat transfer under peristaltic flow of fractional second-grade fluid through nonuniform cylindrical tube with permeable walls. The analysis is performed under low Reynolds number and long wavelength approximation. The analytical solution for pressure gradient, friction force, and temperature field is obtained. The effects of appropriate parameters such as Grashof number, nonuniformity of tube, permeability of tube wall, heat source/sink parameter, material constant, fractional time derivative parameter and amplitude ratio on pressure rise, friction force, and temperature distribution are discussed. It is found that an increase in amplitude ratio and material constant causes increase in pressure but increase in nonuniformity of the tube causes decrease in pressure. It is also observed that variation of friction force against flow rate shows opposite behavior to that of pressure. Increase in temperature is also observed due to increase in heat source/sink parameter at inlet as well as downstream.