Abstract
The rupturing process of a membrane, located between two fluids at the center of a three-dimensional channel, is numerically investigated. The smoothed particle hydrodynamics (SPH) and the finite element method (FEM) are used, respectively, for modeling the fluid and solid phases. A range of pressure differences and membrane thicknesses are studied and two different rupturing processes are identified. These processes differ in the time scale of the rupture, the location of the rupture initiation, the level of destruction and the driving mechanism.
Highlights
Predicting the exact values of impact loads exerted from fluids on structures is of great importance due to its many applications, for example, in cardiovascular systems [1,2,3,4,5,6,7] and industrial flows [8,9].In particular, simulation of fluid-solid interaction (FSI) between a membrane and two fluids have many applications in petrochemical [10] and aerospace industries
In the smoothed particle hydrodynamics (SPH) method, the fluid dynamics are derived in a Lagrangian framework, similar to the lattice Boltzmann and MD [33], which obviates the need for a mesh to solve the governing equations, in contrast to the traditional computational fluid dynamics (CFD) methods [34,35,36,37]
The solid phase is composed of two main parts, namely: channel walls and the membrane placed in the middle of the channel, both of which are modeled using finite element method (FEM)
Summary
Predicting the exact values of impact loads exerted from fluids on structures is of great importance due to its many applications, for example, in cardiovascular systems [1,2,3,4,5,6,7] and industrial flows [8,9]. Simulation of fluid-solid interaction (FSI) between a membrane and two fluids have many applications in petrochemical [10] and aerospace industries. In 2008, Maurel and Combescure [29] provided a formulation for SPH, which enabled it to simulate behaviors of shell structures This formulation was capable of simulating elastic and plastic deformations of solids until failure. Potapov et al [30] made an effort to simulate FSI in a problem in which random collision of fast-moving fluid to a structure caused major deformation of the solid. The transient FSI problem of membrane ruputre is investigated, in which the flow and the solid deformations are computed using, respectively, the SPH and finite element method (FEM). The rupture initiation time, the affected area, pressure difference sensitivity, thickness sensitivity and the level of destruction are the factors that influence different modes of membrane rupture
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