Liquid transport produced by a cluster of peristaltic contractions in a circular channel

Clustered contractions are observed in the human small intestine after fatty meals or in patients with gastrointestinal diseases. We present a numerical and theoretical analysis of liquid flow produced by the cluster of peristaltic waves in a circular channel. We show that flow rate is not proportional to the number of peristaltic waves in a cluster, and the flow rates of different numbers of waves collapse onto a single curve of each contraction ratio.