Nonlinear two-layer inverse heat conduction problem, impartido por Nazerke Mukhametkaliyeva, Kazakh-British Technical University (Almaty, Kazajistán)

07 Xuñ 2022 - 00:00:00
10:00

Nonlinear two-layer inverse heat conduction problem, impartido por Nazerke Mukhametkaliyeva, Kazakh-British Technical University (Almaty, Kazajistán)

Data: 7 de xuño de 2022

Hora: 10:00 h.

Lugar: Aula 8 de la Facultade de Matemáticas da USC e online MS Teams a través do enlace Teams meeting

Duración: 30 min

Abstract:

Methods for finding all the thermophysical parameters of a two-layer soil have been developed. Two-layer complexes of containers have been created, the side edges of which are thermally insulated. Temperature sensors are installed on each container, which captures and records the measured data on USB cards. Soil temperature is measured at two end boundaries, ambient temperature. At the border of two containers, one sensor was fixed, which transmits the contact temperatures of the two media. This circumstance makes it possible to solve the inverse coefficient problem in each container separately. The implicit difference scheme for the equation of quasi-linear thermal conductivity is taken as the basis for the study. All thermophysical parameters (8 parameters) of a heterogeneous soil are found from the minimum of the discrete functional. The uniqueness, stability, and convergence of the solution to the difference problem are proved. A rational method is proposed for choosing the damping coefficient, which provides an exponential rate of convergence of the approximate value of the functional to zero. Using experimentally measured data, numerical calculations were carried out and all the thermophysical parameters of the selected soil were determined. Numerical calculations show the error of the method in the range of 2-7%.

 

Actividade co-financiada coa colaboración da Consellería de Cultura, Educación, Formación Profesional e Universidades