By Nikolay Ivanov Kolev

Multi-phase flows are a part of our typical setting, together with tornadoes, typhoons, air and water toxins and volcanic task in addition to of commercial know-how comparable to energy vegetation, combustion engines, propulsion platforms, or chemical and organic undefined. the economic use of multi-phase structures calls for analytical and numerical thoughts for predicting their habit. This e-book comprises idea, tools and useful event for describing complicated temporary multi-phase tactics in arbitrary geometrical configurations. This e-book presents a scientific presentation of the speculation and perform of numerical multi-phase fluid dynamics. within the current moment quantity the mechanical and thermal interactions in multiphase dynamics are supplied.

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**Extra resources for Multiphase Flow Dynamics: Thermal and Mechanical Interactions **

**Sample text**

1) Dd 4 Next we describe some experimentally observed effects influencing the drag coefficient ccdd . It is well known from experimental observations that the drag coefficient depends on the radius, on the particle Reynolds number based on the absolute value of the relative velocity, and on whether the particle is solid, bubble, drop of pure liquid or drop of liquid with impurities of microscopic solid particles. Due to the internal circulation in the liquid or gas particle, its drag coefficient can be 1/3 of the corresponding drag coefficient of the solid particle with the same radius and Reynolds number.

Otherwise one needs additional experimental information to perform the correction. As already mentioned, small impurities Cn3 > 0, hinder the internal circulation of the droplets and lead to drag coefficients characteristic for the solid particles in a gas. 5. Solid particles-gas in presence of liquid. Solid particles-liquid in presence of a gas Depending on the volumetric concentration of the macroscopic solid particles (the third velocity field) we distinguish the following cases: 1) The solid particles are touching each other in the control volume D 3 D dm .

If the gas and the liquid are flowing around the densely packed particles the resistance forces between each of the phases l and the particles are considerably higher (see [38] (1936)). 113) Brown et al. [9] (1950), and remains for given pressure drop across the distance of consideration. It can normally be removed by evaporation rather then drainage. 8 for water/steel and 1 for UO2/water or sodium. Usually the drag forces are corrected by means of the so called viscous and turbulent permeability coefficients, k11 , k1t respectively.