Two-Phase Flow Modeling for Bed Erosion by a Plane Jet Impingement

Abstract

This paper presents experimental and numerical studies on the erosion of a horizontal granular bed by a two-dimensional plane vertical impinging jet to predict the eroded craters’ size scaling (depth and width). The simulations help understand the microscopic processes that govern erosion in this complex flow. A modified jet-bed distance, accounting for the plane jet virtual origin, is successfully used to obtain a unique relationship between the crater size and a local Shields parameter. This work develops a two-phase flow numerical model to reproduce the experimental results. The numerical techniques are based on a finite volume formulation to approximate spatial derivatives, a projection technique to calculate the pressure and velocity for each phase, and a staggered grid to avoid spurious oscillations. Different options for the sediment’s solid-to-liquid transition during erosion are proposed, tested, and discussed. One model is based on unified equations of continuum mechanics, others on modified closure equations for viscosity or momentum transfer. A good agreement between the numerical solutions and the experimental measurements is obtained.

Research Status of Deep-Sea Polymetallic Nodule Collection Technology

“…Zhang et al [70] used the Wray-Agarwal turbulence model and a PIV test to study the oblique submerged impact jet at different impact heights and concluded that the impact height affects the flow field structure of the oblique jet, while the range of effective impact pressure on the wall is independent of the impact height. Damien et al [71] studied the erosion of a two-dimensional vertical impact jet on a horizontal sand bed, and concluded that under different impact distance and jet velocity conditions, the depth and width of the…”

“…Zhang et al [70] used the Wray-Agarwal turbulence model and a PIV test to study the oblique submerged impact jet at different impact heights and concluded that the impact height affects the flow field structure of the oblique jet, while the range of effective impact pressure on the wall is independent of the impact height. Damien et al [71] studied the erosion of a two-dimensional vertical impact jet on a horizontal sand bed, and concluded that under different impact distance and jet velocity conditions, the depth and width of the sand pit are determined by effective impact distance and dimensionless erosion parameters. At present, the mechanical research of impact jets is mainly carried out through the combination of simulation and experiment, which is conducive to promoting the development process of low-disturbance deep-sea mining equipment.…”

Ensaios de campo de penetração auxiliada por jatos de água de modelos de estacas torpedo em solo granular

“…Também foram realizados estudos dos efeitos da aplicação de jatos verticais de água em solos granulares, conforme [e.g. [13][14][15][16][17][18][19].…”