Heat convection of viscous incompressible liquid in a cylindric elementary convection cell with a conical cavity bottom and rigid boundary conditions

• Дата: 2017
• Автори: Андреева, О. Л., Костиков, А. О., Ткаченко, В. И.
• Формат: Стаття
• Мова: Russian
• Опубліковано: Journal of Mechanical Engineering 2017
• Теми: cylindric elementary convection cell; heat convection; conical cavity; solid boundary conditions; viscous incompressible liquid; Fujiwhara effect; цилиндрическая элементарная ячейка; тепловая конвекция; коническое углубление; твердые граничные условия; вязкая несжимаемая жидкость; эффект Фудзивары; УДК 632.5; циліндрична елементарна комірка; теплова конвекція; конічне поглиблення; тверді граничні умови; в’язка нестискувана рідина; ефект Фудзівари
• Онлайн доступ: https://journals.uran.ua/jme/article/view/105639
• Назва журналу: Journal of Mechanical Engineering

There was studied the problem of heat convection of viscous incompressible liquid in a cylindrical elementary convection cell with a conical cavity bottom and  rigid boundary conditions. For a special case there were obtained expressions of distribution for perturbed velocity and temperature in cylindrical system coordinate with rigid boundaries. It shows the diagram of a cylindrical unit cell with convective conically recessed bottom in a layer of a viscous, incompressible fluid and rigid boundary conditions. Defined spatial field distribution of flow velocities in a cell with a conically recessed bottom and rigid boundary conditions on the surface z = 1 and z = 0. Top elementary convective cell borders on a horizontal array of metallic heat dissipating layer thickness, from below - from a horizontal layer heat input medium, temperature gradient is maintained constant thickness. Stokes' functions were constructed for cylindrical convection cell as well as for the conical cavity in the cell bottom. Basing on Fujiwhara effect there were obtained Stokes streamline model distributions in the cylindrical elementary convection cell with conical cavity bottom and solid boundary conditions and disturbed temperature. In this paper we consider the problem of convective heat and mass transfer in a cylindrical elementary convection cell with a conical depression heated from below