Interaction of heat transfer and peristaltic pumping of fractional second grade fluid through a vertical cylindrical tube

Abstract

This paper deals with a theoretical investigation of the interaction of heat transfer with peristaltic pumping of a fractional second grade fluid through a tube, under the assumption of low Reynolds number and long wave length approximation. Analytical solution of problem is obtained by using Caputo's definition. Effect of different physical parameters material constant, amplitude ratio, friction force, temperature, and heat transfer on pumping action and frictional force are discussed with particular emphasis. The computational results are presented in graphical form.