Method for temperature measuring inside a cylindrical body based on surface measurements

Natalia M. Yaparova, Aleksandr L. Shestakov

Abstract

The article is devoted to the measurement challenge associated with thermal monitoring that occurs during the heat treatment of products. We propose a method for calculating temperature values at internal points of a cylindrical body based on measuring the temperature functions on the surface of the body. The method for calculating temperature values involves the solving an inverse problem for a nonlinear parabolic equation with unknown initial conditions. The computational scheme is based on the use of finite-difference equations and a regularization technique. The reliability and efficiency of the method was confirmed by computational results. The experimental results are also presented in this paper.

Keywords

measurement challenge, heat treatment of the product, accuracy of measurement, computational procedure, inverse problem

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DOI

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IMEKO TC

TC10 - Measurement for Diagnostics, Optimization and Control

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