Heat and mass transfer in the heated from below free cylindrical elementary convection cell with a conical cavity bottom

• Дата: 2016
• Автори: Бозбей, Л. С., Костиков, А. О., Ткаченко, В. И.
• Формат: Стаття
• Мова: Russian
• Опубліковано: Journal of Mechanical Engineering 2016
• Теми: elementary convection cell; free boundary; convective processes; heat transfer; temperature gradient; УДК 536.24; элементарная конвективная ячейка; свободные границы; конвективные процессы; теплоперенос; температурный градиент; елементарна конвективна комірка; вільні межі; конвективні процеси; температурний градієнт
• Онлайн доступ: https://journals.uran.ua/jme/article/view/71852
• Назва журналу: Journal of Mechanical Engineering

The problem of thermal convection of a viscous incompressible fluid in a cylindrical elementary convective cell with a conical bottom and free boundary conditions is considered. The analytical solutions of a stationary linear Rayleigh problem in the case of free boundary conditions as basic functions should be used. The spatial field distribution of the flow velocities in the cell with conical bottom was defined. Stokes’ functions are built in a cylindrical free convective cell with plane boundaries and in the conical cavity bottom as well. Current lines distributions in cells with different model functions are qualitatively alike; different model functions of current lines differ in the numerical value of their maximum. The distribution model Stokes’ streamlines temperature perturbations in a cylindrical elementary convective cell with a conical bottom and free boundary conditions are obtained based on the Fujiwara effect