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A two-layered suspension flow, consisting of a central layer of a particle-fluid suspension and a peripheral layer of a Newtonian viscous fluid (same as the suspending medium in the central layer), induced by sinusoidal peristaltic waves has been studies. The expressions for the velocity profiles, the pressure drop and the friction force have been obtained. The pressure drop has been shown to be increasing with the particle concentration in the core region and also with the flow rate. The magnitude of the pressure drop is found to be higher in one-layered (one-fluid) analysis than in two-layered (two-fluid) for a given value of the particle concentration and also for a given value of the flow rate. It is noticed that for small values of the flow rate, the pressure drop decreases rapidly with increasing amplitude ratio. However, this property is different for larger values of the flow rate. The friction force possesses character similar to the pressure drop (an opposite character to the pressure rise) for any given set of parameters.
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Medhavi et al. (2008) studied this question.
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