6 papers
Sedimentation of a surfactant-laden drop in a liquid with particles
Xiaoxu Zhong
This project aims to study the sedimentation of a surfactant-laden drop in a liquid with particles. A 2D simulation is performed with MATLAB. The interface is captured by the front…
A singularity-free analytic solution of rise dynamics of a liquid in a vertical cylindrical capillary
Xiaoxu Zhong, Bohua Sun, Shijun Liao
Capillary driven flow is a famous problem in fluid dynamics which dates back to Leonardo da Vinci. In this paper, we apply an analytic approximation method for highly nonlinear pro…
On the Limiting Stokes' Wave of Extreme Height in Arbitrary Water Depth
Xiaoxu Zhong, Shijun Liao
As mentioned by Schwartz (1974) and Cokelet (1977), it was failed to gain convergent results of limiting Stokes' waves in extremely shallow water by means of perturbation methods e…
On the homotopy analysis method for backward/forward-backward stochastic differential equations
Xiaoxu Zhong, Shijun Liao
In this paper, an analytic approximation method for highly nonlinear equations, namely the homotopy analysis method (HAM), is employed to solve some backward stochastic differentia…
Analytic Solutions of Von Karman Plate under Arbitrary Uniform Pressure (II): Equations in Integral Form
Xiaoxu Zhong, Shijun Liao
In this paper, the homotopy analysis method (HAM) is successfully applied to solve the Von Karman's plate equations in the integral form for a circular plate with the clamped bound…
Analytic Solutions of Von Karman Plate under Arbitrary Uniform Pressure --- Equations in Differential Form
Xiaoxu Zhong, Shijun Liao
The large deflection of a circular thin plate under uniform external pressure is a classic problem in solid mechanics, dated back to Von K{á}rm{á}n \cite{Karman}. {This problem is…