Author(s)

J. Irša & A. N. Galybin

Abstract

The problem considered in this paper deals with reconstruction of heat flux from temperature measurements, where due to lack of data, numerical integration is impossible. The problem is reduced to the determination of unknown complex coefficients of a linear piecewise holomorphic function representing heat flux properties and a quadratic holomorphic function representing complex temperature distribution. This leads to an over-determined system of linear algebraic equations, which are subjected to experimental errors. The reconstruction of heat flux is unique; however, reconstruction of flux directions is non-unique. It contains one free additive parameter. The method is useful in situations where limited data on temperature are provided. Keywords: heat flux, temperature measurement, holomorphic function, complex variables.

Keywords

heat flux, temperature measurement, holomorphic function, complex variables.