Nonstationary Peristaltic Transport of a Heat-Conducting Fluid

We study the peristaltic transport of a heat-conducting fluid in a flexible lube with a prescribed pressure drop over a wavelength of the lube and Newton′s cooling law for the temperature and a prescribed velocity on the boundary. Using the Oberbeck-Boussinesq equations as the governing equations and introducing a generalized solution, we prove existence, uniqueness, and stability theorems for the nonstationary problem, and develop and justify the Stokes and long wave asymptotic expansions.