DEVELOPMENT OF METHODS FOR DETERMINING DIFFUSION AND THERMAL CONDUCTIVITY COEFFICIENTS BASED ON THE HEAT AND MASS TRANSFER EQUATION
Rysbaiuly B. Karashbayeva Zh.O.
July 2022Asian Research Publishing Network
ARPN Journal of Engineering and Applied Sciences
2022#17Issue 141400 - 1407 pp.
This manuscript is devoted to the development of methods for finding the diffusion coefficient of soil moisture and the thermal conductivity coefficient of soil by using the system of Lykovs equations for heat and mass transfer in the soil. The conjugate system of partial differential equations is constructed by using the direct initial-boundary value problem and additional boundary conditions on the accessible boundary of the region. Iterative formulas for finding the diffusion coefficient of soil moisture and the thermal conductivity coefficient are derived from the minimization of specially constructed functional and solution of direct and conjugate problems. The direct and conjugate problems are discretized by the Dufort-Frankel Difference scheme. An algorithm for solving the coefficient-inverse problem is developed and the program is designed in Matlab software. Numerical calculations are conducted in order to verify the convergence of iterative processes.
Conjugate problem , Diffusion coefficient , Heat and mass transfer , Inverse problems , Thermal conductivitycoefficient
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International Information Technology University, Almaty, Kazakhstan
L. N. Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan
International Information Technology University
L. N. Gumilyov Eurasian National University
10 лет помогаем публиковать статьи Международный издатель
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