Peristaltic flow of Burgers’ fluid with compliant walls and heat transfer

A theoretical analysis is presented to investigate the peristaltic flow and heat transfer characteristics of Burgers’ fluid. Burgers’ fluid falls under the category of non-Newtonian fluids and is the subclass of rate type fluids which is used to describe the motion of the earth’s mantle. The channel is governed by the propagation of sinusoidal waves that help the walls contract and relax. Moreover, the walls of the channel are of compliant nature. Both the walls are at different temperatures. Mathematical formulation is first developed and then solved by using the long wavelength assumption i.e. the wavelength of the peristaltic wave is large in comparison to the mean half-width of the channel. The results of velocity, temperature and heat transfer coefficient at the upper wall are constructed and analyzed.