Inverse conduction method using finite difference method

International Conference on Mechanical, Materials and Renewable Energy

机械制造;材料科学;能源学

Venkata Sai Jitin, Jami Naga^1 ; Bhagat, Atul Ramesh^2

Dept of Aeronautical and Automobile Engineering, Manipal Institute of Technology, Manipal University, Manipal, Karnataka

576104, India^1

Scientist 'e', Advanced System Laboratories, Defence Research and Development Organisation, Hyderabad

500058, India^2

关键词: Accurate prediction;    Constant temperature;    FORTRAN codes;    Inverse heat conduction problem;    Newton-Raphson optimization;    Temperature data;    Transient model;    Variable heat flux;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/377/1/012015/pdf
DOI  :  10.1088/1757-899X/377/1/012015

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

A numerical method is used to solve an inverse heat conduction problem using finite difference method and one-dimensional Newton-Raphson optimization technique. A thermocouple placed anywhere on the one-dimensional rod will read the temperature at that point, this temperature when fed into the FORTRAN code can predict the heat flux subjected onto the rod. The code has been further modified to predict variable heat flux (with time) as well. Error contribution of distance of thermocouple from source and time is demonstrated. Accurate prediction of heat flux variable with time has also been validated. First, a FORTRAN code was written to simulate and solve a transient model of a rod subjected to constant temperatures on both sides using Finite Difference Method. Next, a FORTRAN code was written to solve a steady state, and consequently a transient, model of a rod subjected to heat flux from one side using FDM and is tested to measure temperature at any node on the rod. Further, this code was modified to predict heat flux based on temperature data provided using Newton-Raphson optimization technique.