Numerical analysis of one dimensional heat transfer on varying metal

Abstract

Heat is an energy that we often encounter in our daily lives. Heat can be transferred from one medium to another, such as a solid medium. Heat transfer in a solid is called heat conduction or diffusion. Numerical analysis is one approach used to solve differential diffusion in many cases. In this paper, the concern is the proposed finite difference method to simulate one-dimensional heat transfer on varying metals. This numerical method utilizes the Neumann boundary conditions as well as the Taylor series in finding differential diffusion solutions. The solution obtained was applied and simulated in the case of heat transfer by conduction on various metals. From this simulation, we can obtain data in the form of temperature distribution across various metals by adjusting to boundary conditions. Then, the distribution is used to predict when various metals reach their equilibrium temperature. The final equilibrium temperature on varying metal must satisfy Thermodynamics Law. In order to illustrate the accuracy, the varying boundary conditions are presented. The results obtained in the form of temperature distribution will be simulated with the help of the MATLAB program to obtain conclusions from the objects of this paper. The conclusion indicates that using finite difference is accurate in some boundary conditions.