Побудова нульового та першого наближень у задачі теплопровідності для вимірювальних перетворювачів

Abstract

This work is devoted to the construction of zero- and first-order approximations for the heat conduction problem in measuring transducers with temperaturedependent thermal conductivity. A nonlinear nonstationary heat conduction model is considered, and the solution is obtained using an expansion in terms of a small parameter. The zero-order approximation is determined from the corresponding linearized problem, while the first-order approximation refines the temperature distribution in the transducer. The proposed approach can be used to improve the accuracy of thermal process modeling in measuring transducers