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Thermoelastic Diffusion Phase-Lag Model for a Layer with Internal Heat and Mass Sourcesстатья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Авторы: Davydov S.A., Zemskov A.V.
- Журнал: International Journal of Heat and Mass Transfer
- Том: 183
- Номер: C
- Год издания: 2022
- Издательство: Pergamon Press Ltd.
- Местоположение издательства: United Kingdom
- DOI: 10.1016/j.ijheatmasstransfer.2021.122213
- Аннотация: We present a problem of unsteady bulk thermoelastic diffusion perturbations propagation in a multi-component layer. The local equilibrium model describes one-dimensional physical processes in the continuum. It is including the coupled equations of elastic medium motion, heat transfer and mass transfer with cross-diffusion effects. The model is also considering phase-lag effects in a continuum with internal heat and mass sources. Unknown functions of displacement, temperature and concentration increments are sought in the integral convolution form of the Green’s functions and the boundary conditions. To find Green’s functions, we use the integral Laplace transform to time and the Fourier expansion into series by a spatial coordinate. It allows us to reduce the problem to a system of linear algebraic equations. The originals of the Fourier series coefficients are found using known theorems and tables of operational calculus. The use of numerical algorithms is minimized, and Green’s functions are found analytically. Calculation examples are represented and analysed.
- Добавил в систему: Земсков Андрей Владимирович