Visual Analysis And Application Of Viscous Liquid Mutual Diffusion

Computational fluid dynamics gives the general theory of mass transfer in fluid motion.Aiming at the problem of inter-diffusion of viscous liquids,a specific type of pipeline and initial boundary value conditions are selected,and a numerical analysis of its motion state is given.Using the binary liquid diffusion theory,a model control equation is established to describe the inter-diffusion behavior of viscous fluid flows,and numerical algorithms such as meshless method and finite element method are used to solve the problem according to the characteristics of the model.Extending this problem to medical clinical surgery,and obtaining simulation results through visual analysis technology,not only can improve the efficiency of surgery,but also guide the improvement of medical equipment.The main research work includes three parts:The first part is the study of the theory of liquid flow mutual diffusion.According to the fluid viscosity characteristics and Newton's internal friction law,the flow state analysis of laminar flow and turbulent flow in a circular tube is given.The basic mechanical law of fluid motion is given by Navier-Stokes equation.Combining Fick's diffusion law,convection-diffusion equation and Maxwell-Stefan diffusion model,the inter-diffusion laws of binary viscous liquids under different conditions are given.Finally,the relevant methods for measuring the diffusion coefficient are given.The second part is to solve the governing equations.On the basis of the first part,first,aiming at the complexity of Navier-Stokes equations,the smooth particle fluid dynamics method in the meshless method is used to solve the three aspects of continuity equation,momentum equation,and energy equation;then,using limited the element method and the finite difference method are used to solve the three-dimensional convection-diffusion equation,and the stability analysis using the Von Neumann method shows that the result is unconditionally stable,and the accuracy is 4th order in space;Finally,the exact solution of the equation is used to solve the Maxwell-Stefan diffusion model simply,and its limitations in solution and application are pointed out.The third part is the application of visual simulation of fluid flow mutual diffusion in medicine.This part takes the surgical removal of intracranial hematoma in clinic as the problem background,establishes the initial boundary conditions according to the fluid properties of the drug and the geometric model of the preliminary set drainage tube,combines them with the theoretical control equations,and the computational fluid dynamics module of COMSOL Multiphysics software is used to conduct multiphysics simulation analysis on the pipe flow phenomenon of hemolytic agent and the interdiffusion behavior of hemolytic agent and hematoma,and optimize the design of traditional drainage tube based on the visual simulation results.Figure 26;Table 1;Reference 53...