Experimental design for solving inverse heat conductivity problems
Abstract
A numerical method is proposed for determining the optimum arrangement of a fixed number of temperature sensors when solving inverse heat conductivity problems. The computational algorithm is developed using a spline approximation of the functions to be identified and the formalism of sensitivity functions. The determinant of a normalized Fisher matrix is used as a criterion for selecting the sensor coordinator vector. The coefficients of the matrix are determined by solving the corresponding boundary value problems. The approach proposed here is illustrated by an example.
 Publication:

Inzhenerno Fizicheskii Zhurnal
 Pub Date:
 March 1985
 Bibcode:
 1985InFiZ..48..490A
 Keywords:

 Experiment Design;
 Spatial Distribution;
 Temperature Probes;
 Temperature Sensors;
 Thermal Conductivity;
 Approximation;
 Boundary Value Problems;
 Optimization;
 Spline Functions;
 Fluid Mechanics and Heat Transfer