scholarly journals Numerical integration of the contravariant form of the two phase flow motion equations

2009 ◽  
Author(s):  
F. Gallerano ◽  
G. Cannata
Keyword(s):  
Numerical Integration ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Motion Equations ◽  
Flow Motion

scholarly journals A 3D Numerical Model for Turbidity Currents

2020 ◽  
Vol 15 ◽  
Keyword(s):  
Numerical Model ◽  
Two Phase Flow ◽  
Curvilinear Coordinates ◽  
Turbidity Currents ◽  
Phase Flow ◽  
High Concentration ◽  
Two Phase ◽  
Motion Equations ◽  
Vertical Coordinate ◽  
Flow Motion

A numerical model that solves two-phase flow motion equations to reproduce turbidity currents that occur in reservoirs, is proposed. Three formalizations of the two-phase flow motion equations are presented: the first one can be adopted for high concentration values; the second one is valid under the hypothesis of diluted concentrations; the third one is based on the assumption that the particles are in translational equilibrium with the fluid flow. The proposed numerical model solves the latter formalization of two-phase flow motion equations, in order to simulate turbidity currents. The motion equations are presented in an integral form in time-dependent curvilinear coordinates, with the vertical coordinate that varies in order to follow the free surface movements. The proposed numerical model is validated against experimental data and is applied to a practical engineering case study of a reservoir, in order to evaluate the possibility of the formation of turbidity currents.

scholarly journals Heat and mass transfer in two-phase flow motion in minichannel under variable heating

2014 ◽  
Vol 19 ◽  
pp. 01010 ◽  
Author(s):  
Evgenii S. Chachilo ◽  
Michael N. Grehov ◽  
Dmitrii V. Feoktistov
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Motion

scholarly journals MATHEMATICAL DESCRIPTION OF THE TWO-PHASE FLOW MOTION AT THE OUTLET OF THE VERTICAL ACCELERATION TUBE OF A JET MILL WITH A PLANE GRINDING CHAMBER OF TORUS FORM

2021 ◽  
Vol 6 (5) ◽  
pp. 82-86
Author(s):  
V. Dmitrienko ◽  
V. Voronov ◽  
E. Shemetov ◽  
O. Shemetova
Keyword(s):  
Two Phase Flow ◽  
Specific Energy Consumption ◽  
Maximum Velocity ◽  
High Dispersion ◽  
Vertical Acceleration ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Motion ◽  
Acceleration Tube ◽  
The Impact

Nowadays building material industry as well as other industry branches exercise bigger demand to use powders with high dispersion. Jet mills are used to produce such powders that is why development of new jet mill designs, increase of grind efficiency, reduction of specific energy consumption is an important objective. This article provides a mathematic description of the two-phase flow motion at the outlet of the vertical acceleration tube of a jet mill with a plane grinding chamber of torus shape. The part of the acceleration tube above the impact plate is essential for grinding, as the initial particle grind occurs at this very section, in the grind chamber. Moreover, the initial grind defines the size of particles, that are further reground at the mill chamber. As a result of theoretical calculations, a formula is obtained that allows to determine the height of the acceleration tube from the bump element at the specified speed parameters of the two-phase flow. The article also contains the graph, that shows how particle velocity depends on the current (specific) height point (value) of the acceleration tube. This graph demonstrates that particle size strongly affects the way they move in the grind chamber. The formula allows to calculate the effective propulsion range of particles, depending on theirs' size, by presuming they have the maximum velocity

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