Peristaltic transport of a two-layered model of physiological fluid

The problem of peristaltic transport of a two-fluid (peripheral and core fluid) model in a non-uniform tube and channel has been investigated under long wavelength approximation. A comparison of these results with those for without peripheral layer fluid shows that the magnitude of the pressure rise under a given set of conditions is smaller in the case of with peripheral layer fluid. For a given non zero pressure drop, the flow rate increases as the viscosity of the peripheral layer fluid decrease. However, for zero pressure drop, the flow rate is independent of the presence of peripheral layer fluid. Pressure rise in the case of non-uniform geometry is found to be much smaller than the corresponding values in the case of uniform geometry. The analysis has been applied and compared with the observed flow rates of spermatic fluid (semen) in vas deferens of rhesus monkeys and to the experimental results of Weinberg et al. (1971).