Numerical simulation of unidimensional bubbly flow in Mooney Rivlin fluid through nozzles and a wavy channel

Abstract

The goal of this paper is to investigate one-dimensional bubbly cavitating flow in Mooney Rivlin fluid as it flows through three different geometries. Cavitating flows are used in a variety of engineering and medical settings. The current research looks at the effects of Mooney Rivlin fluid’s elastic behavior when it passes through a venturi, a converging-diverging nozzle, and a wavy channel. Initially, Rayleigh Plesset’s equation for a single bubble was considered later on effects of more than one bubble were investigated. The flow was examined under the effects of different emerging parameters, namely the Reynolds number (for laminar flow is taken to be 100), weber number , and elasticity parameter which ranges from to . The system of ordinary differential equations was first non-dimensionalized using suitable transformations, then the Runge–Kutta method was used to solve the flow equations. Effects of different parameters on the radius of the bubble and velocity of the flow are illustrated graphically.