**Nouman Ijaz 1, Arshad Riaz 2, Ahmed Zeeshan 3, Rahmat Ellahi 3,4,5,\* and Sadiq M. Sait <sup>6</sup>**


Received: 4 November 2019; Accepted: 26 January 2020; Published: 30 January 2020

**Abstract:** In this paper, liquid coatings of bubbly flow with peristaltic motion inside elastic walls is investigated. The proposed model is constructed using the two-fluid approach with the most distinctive collaboration among gas, fluid, pressure, and drag forces. Variation in pressure leads to a change in void fraction. The differential controlling conditions affected by the long wavelength of the peristaltic wave and the slow movement are taken into account. Analytical results of the simplified governing equations are obtained using the homotopy perturbation method (HPM). The features of the significant parameters are shown and examined graphically.

**Keywords:** gas-liquid coatings; bubbles; two-fluid model; peristaltic flow; phase distribution; HPM
