Abstract
The smoothed particle hydrodynamics (SPH) method is applied to study the oil film diffusion in the water. By modifying the SPH equations of fluid dynamics, the multiphase flow SPH equations are obtained to establish the computational oil film diffusion model. By discussing three kinds of particle pairing schemes in the calculation of oil particle density, the redistribution mode of particle density is determined. The diffusion process of oil film is simulated, the effects of oil viscosity coefficient and particle density on oil film diffusion are analyzed, and the distribution of local pressure near oil particles in the process of oil film spreading is calculated. Finally, the calculated value of the oil film expansion diameter is compared with two other numerical models, and the calculated result shows a high coherence with the others.
Highlights
Smoothed particle hydrodynamics (SPH) is a meshless Lagrange algorithm, which was first applied to astrophysics and was widely used in solid mechanics and fluid mechanics
In the smoothed particle hydrodynamics (SPH) method, the system state is described by a series of particles with properties. e motion of the particles is in accordance with the law of the conservation governing equation. e SPH method does not need mesh but uses an integral kernel called “kernel function” to approximate the “kernel function estimation.”
In the field of hydrodynamics, based on continuous medium hypothesis, the continuum is regarded as a series of particles, which are used to simulate the fluid motion. e SPH method simulates the fluid motion with a series of particles, and each particle has its own influence area and interpolation range. e position, velocity, and pressure of the particles and the gradient distribution of physical quantities are obtained by interpolation of the kernel function
Summary
Smoothed particle hydrodynamics (SPH) is a meshless Lagrange algorithm, which was first applied to astrophysics and was widely used in solid mechanics and fluid mechanics. In the particle support domain, the field function is presented by the integral approximation to smooth function, that is, the kernel approximation. E SPH method simulates the fluid motion with a series of particles, and each particle has its own influence area and interpolation range. Ren presented a periodic density reinitialization smoothed particle hydrodynamics (PDRI-SPH) method to treat the generalized Newtonian free surface flows [23]. The SPH method is applied to the study of multiphase flow, and the extension of oil film on water is simulated and analyzed.
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