Dimensionless Complexes Research Articles

Analysis of the motion of suspended particles in a rotor separator

We discuss a method for the calculation of the efficiency of a rotor-ring separator which includes a rotor made up of a set of plane rings and blades to form channels. The calculation reduces to an analysis of the motion engendered by the primary forces of the suspended particles in the channel between the blades and is based on the solution of differential equations by a numerical method. The research results have been generalized in the form of a relationship linking dimensionless complexes, this relationship suitable for engineering calculations.

An experimental study of the effect of detonation of horizontal cylindric ejection charges in homogeneous and stratified rock

1. On the basis of the theory of dimensionalities, a system of four dimensionless complexes has been constructed. It describes the formation of ejection craters by explosions of horizontal cylindrical charges of a finite length in homogeneous and two-layer rock structures. 2. Functional relations have been formulated on the basis of experimental data for the parameters of the ejection crater (width, depth, length, and volume) as a function of dimensionless complexes constructed. 3. The correlation between throw-out crater parameters and the parameters of the charge and its placement in a homogeneous half-space and a two-layer rock structure and the properties of the rock in the overburden and in the half-space after in situ studies could be utilized for predicting the results of an explosion and for calculating the blasting operation parameters.

Comments on designing a diaphragmless reactor for the production of electrolytic hydrogen

Criterial relations generalizing the functional interrelationship between a number of dimensionless complexes of hydrodynamics and voltage in a reactor cell are obtained from the differential equations that describe the electrochemical process.

Resistance in the core flow of a fiber suspension in a tube

Using a more simple formulation than that of [1], the problem of core flow of a fiber suspension in a straight tube of circular cross section is considered. The solution is sought by the small parameter method. The first approximation thus found is compared in detail with experiment. Formulas are obtained for the tube resistance coefficient and the dimensionless thickness of the near-wall layer. The laminar flow in the first approximation is characterized by three dimensionless complexes. Both the resistance coefficient and the dimensionless thickness of the near-wall layer depend on only two of the complexes, and so partial simulation of the flow is possible.

Criteria and formulas for the calculation of the fluidization rate

An equation of motion is derived for individual particles in a fluidized bed of a monodisperse material in connection with the onset of fluidization. Dimensionless complexes have been derived on the basis of this equation and these are used to process the experimental data. A theoretical formula is derived.

Generalization of data on convective heat transfer with vaporization to a turbulent boundary layer

Dimensionless complexes describing heat transfer from a plate on evaporation from the surface are derived on the basis of the integral momentum and energy relationships for a turbulent boundary layer.