Fluid calculation and heat transfer written in Matlab
Fluid calculation and heat transfer are very important research directions in the engineering field. The fluid calculation and heat transfer program based on Matlab can be used to analyze various fluid problems and heat transfer problems. This article will introduce how to write a program based on Matlab that can perform two-dimensional and three-dimensional fluid calculation and heat transfer simulation.
1. Basic knowledge of the program
1.1 Finite Difference Method
The finite difference method (FDM) is a numerical analysis method that can be used to solve differential equations. This method fits a differential equation to a discrete equation, and approximates the differential equation by taking a difference at each discrete point to obtain a numerical solution. The implementation of the finite difference method is to use a computer to discretize the difference equation, and then obtain a numerical solution through iterative solution.
1.2 Steady-state heat transfer and turbulent heat transfer
Steady-state heat transfer refers to the heat transfer process in which the temperature difference between the inside and outside of the object is constant, that is, the temperature field does not change with time. Turbulent heat transfer refers to the heat transfer process in which the velocity field and temperature field in the fluid change with time and position. Turbulent heat transfer is a nonlinear problem that needs to be solved numerically.
2. Fluid calculation and heat transfer program
2.1 Steady-state heat transfer problem
To solve the steady state heat transfer problem, the following steps can be taken:
First of all, it is necessary to use Matlab to realize discretization processing, and divide the temperature field inside and outside the object into several discrete points.
Secondly, it is necessary to set up discrete equations according to various factors in the heat transfer process, such as heat transfer coefficient, boundary conditions, etc.
Finally, the discrete equations are numerically solved using the finite difference method to obtain the internal temperature distribution of the object.
2.2 Turbulent heat transfer problem
For the problem of turbulent heat transfer, the influence of fluid motion also needs to be considered. It mainly includes the following steps:
First of all, it is necessary to determine a processing area in the fluid and discretize it, that is, divide it into several small blocks for processing.
Secondly, it is necessary to establish a mathematical model of fluid motion based on Poisson's equation, continuity equation, Navier-Stokes equation, etc.