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

• 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
• Download:

  IMEKO-TC10-2016-001.pdf
• DOI:

  _unreg_tc10-2016.001

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