About one boundary value problem for the equations of heat and mass transfer with normal derivatives of the third order in the boundary condition

Авторы:

Y. Khairullin (Соавтор)

G. Tulesheva (Соавтор)

A. Shakulikova (Соавтор)

Издательство:

КН МНВО РК

Дата издания

30.04.2021

Область исследования

Естественные науки

Тип исследования

Фундаментальное

Аннотация (краткое описание)

A boundary value problem is considered for the equations of heat and mass transfer when one of the boundary conditions contains normal derivatives of the third order, to which a certain problem of heat and mass transfer in drying processes is reduced. The solution of the boundary value problem is sought in the form of the thermal potential of a double layer. A lemma on finding the limits of the third order normal derivatives is given. Using the boundary conditions, a system of the integro-differential equations (SIDE) with various heat conduction operators is obtained. A characteristic part of SIDE is solved by the method of integrated transformations of Fourier-Laplace when performing a condition of solvability. By the method of regularization of SIDE it is reduced to the system of the integrated equations of Volterra-Fredholm. A theorem of solvability of a boundary value problem is given under the condition of solvability of the heat and mass transfer equations with normal derivatives in the boundary conditions.

Соответствие целям устойчивого развития (ЦУР)

URI

https://vestnik.satbayev.university/index.php/journal/article/view/307/285

DOI

https://doi.org/10.51301/vest.su.2021.i2.15

Тип публикаций

Статья

Данный документ располагается в коллекциях

Научные издания SU

Engineering Journal of Satbayev University

Файлы документа

About one boundary value problem for the equations of heat and mass transfer with normal derivatives of the third order in the boundary condition.pdf