高等学校計算数学学報 = Numerical mathematics

Hydrodynamic and hydromagnetic stability

Large Eddy Simulation of the Tip-leakage Cavitating flow with an insight on how cavitation influences vorticity and turbulence

United States Office of Naval Research (University Laboratory Initiative Grant No N00014-06-1-0445)

A spin on cavity formation during water entry of hydrophobic and hydrophilic spheres

In this work, we investigate the behavior of mixed wave solutions in two-layer-liquid with dispersive waveguide. These combined multi-wave solutions were obtained in polynomial types for the (3 + 1)-dimensional Yu–Toda–Sasa–Fukuyama (YTSF) equation with variable coefficients. By virtue of the generalized unified method and symbolic computations, we formally derive polynomial solutions for this equation. The obtained solutions include multi-soliton solutions, multi-periodic solutions, and multi-elliptic solutions. Furthermore, the physical insight and the movement role of the waves in the two-layers are discussed and analyzed graphically for different selections of the arbitrary functions of the obtained solutions.

Analyzing the combined multi-waves polynomial solutions in a two-layer-liquid medium

Numerical investigation on the unsteady cavitation shedding dynamics over a hydrofoil in thermo-sensitive fluid

Experimental study on the cavity dynamics of oblique impact of sphere on a viscous liquid floating on water

Numerical investigation of the effects of free surface on tip-leakage vortex cavitation behaviors over a NACA0009 hydrofoil

The sheet/cloud cavitation is of a great practical interest since the highly unsteady feature involves significant fluctuations around the body where the cavitation occurs. Moreover, the cavitating flows are complicated due to the thermal effects. The present paper numerically studies the unsteady cavitating flows around a NACA0015 hydrofoil in the fluoreketone and the liquid nitrogen with particular emphasis on the thermal effects and the dynamic evolution. The numerical results and the experimental measurements are generally in agreement. It is shown that the temperature distributions are closely related to the cavity evolution. Meanwhile, the temperature drop is more evident in the liquid nitrogen for the same cavitation number, and the thermal effect suppresses the occurrence and the development of the cavitating flow, especially at a low temperature in the fluoroketone. Furthermore, the cavitating flows are closely related to the complicated vortex structures. The distributions of the pressure around the hydrofoil is a major factor of triggering the unsteady sheet/cloud cavitation. At last, it is interesting to find that one sees a significant thermal effect on the cavitation transition, a small value of σ/2α is required in the thermo-sensitive fluids to achieve the similar cavitation transition that occurs in the water.

Li Zou

Papers

Numerical investigation on the unsteady cavitation shedding dynamics over a hydrofoil in thermo-sensitive fluid

Experimental study on the cavity dynamics of oblique impact of sphere on a viscous liquid floating on water

Numerical investigation of the effects of free surface on tip-leakage vortex cavitation behaviors over a NACA0009 hydrofoil

Numerical investigation of unsteady sheet/cloud cavitation over a hydrofoil in thermo-sensitive fluid

Analytical solutions of the Rayleigh-Plesset equation for N -dimensional spherical bubbles