Some Aspects of Gas-Solid Suspension Turbulence

1971 ◽  
Vol 93 (4) ◽  
pp. 631-635 ◽  
Author(s):  
P. S. H. Baw ◽  
R. L. Peskin
Keyword(s):  
Energy Spectrum ◽  
Continuous Medium ◽  
Solid Phase ◽  
Particle Energy ◽  
Solid Particles ◽  
Suspension Flow ◽  
Wave Number ◽  
Spectrum Function ◽  
Solid Suspension ◽  
Energy Spectrum Function

An analysis is given for the apparent particle energy spectrum function in addition to the analysis of the effect of particles on the fluid energy spectrum in a turbulent gas-solid suspension flow. The analysis assumes that the problem of the motion of a continuous medium containing solid particles can be treated as two interacting continuous media, namely, the gas—and the solid—phase. The results obtained show that upon introduction of the particles the energy density of the fluid decreases more rapidly than for the case of pure fluid as wave number increases.

Similarity and self-preservation in isotropic turbulence

1951 ◽  
Vol 243 (867) ◽  
pp. 359-386 ◽  
Keyword(s):  
Energy Spectrum ◽  
Isotropic Turbulence ◽  
Initial Period ◽  
Reynolds Numbers ◽  
Wave Number ◽  
Inertial Subrange ◽  
Local Similarity ◽  
Mean Flow ◽  
Spectrum Function ◽  
Energy Spectrum Function

Measurements of the double and triple velocity correlation functions and of the energy spectrum function have been made in the uniform mean flow behind turbulence-producing grids of several shapes at mesh Reynolds numbers between 2000 and 100000. These results have been used to assess the validity of the various theories which postulate greater or less degrees of similarity or self-preservation between decaying fields of isotropic turbulence. It is shown that the conditions for the existence of the local similarity considered by Kolmogoroff and others are only fulfilled for extremely small eddies at ordinary Reynolds numbers, and that the inertial subrange in which the spectrum function varies as k -35 ( k is the wave-number) is non-existent under laboratory conditions. Within the range of local similarity, the spectrum function is best represented by an empirical function such as k -a log k , and it is concluded that all suggested forms for the inertial transfer term in the spectrum equation are in error. Similarity of the large scale structure of flows of differing Reynolds numbers at corresponding times of decay has been confirmed, and approximate measurements of the Loitsianski invariant in the initial period have been made. Its value, expressed non-dimensionally, decreases slowly with grid Reynolds number within the range of observation. Turbulence-producing grids of widely different shapes are found to produce flows identical in energy decay and in structure of the smaller eddies. The largest eddies depend markedly on the grid shape and are, in general, significantly anisotropic. Within the initial period of decay, the greater part of the energy spectrum function is self-preserving, and this part has a shape independent of the shape of the turbulence-producing grid. The part that is not self-preserving contains at least one-third of the total energy, and it is concluded that theories postulating quasi-equilibrium during decay must be considered with great caution.

scholarly journals SOME ADDITIONAL SOLUTIONS OF CONFORMAL TURBULENCE

1993 ◽  
Vol 08 (07) ◽  
pp. 619-623 ◽  
Author(s):  
YUTAKA MATSUO
Keyword(s):  
Energy Spectrum ◽  
Careful Study ◽  
2D Turbulence ◽  
Spectrum Function ◽  
Energy Spectrum Function

We made a careful study of Polyakov’s Diofantian equations for 2D turbulence and found several additional CFTs which meet his criterion. This fact implies that we need further conditions for CFT in order to determine the exponent of the energy spectrum function.

scholarly journals An expression of energy spectrum function for wide wavenumber ranges.

1985 ◽  
Vol 18 (6) ◽  
pp. 544-549 ◽  
Author(s):  
KOHEI OGAWA ◽  
CHIAKI KURODA ◽  
SHIRO YOSHIKAWA
Keyword(s):  
Energy Spectrum ◽  
Spectrum Function ◽  
Energy Spectrum Function

On the single-particle-energy spectrum of a Λ particle in nuclear matter

1970 ◽  
Vol 48 (23) ◽  
pp. 2804-2808 ◽  
Author(s):  
K. F. Chong ◽  
Y. Nogami ◽  
E. Satoh
Keyword(s):  
Energy Spectrum ◽  
Nuclear Matter ◽  
Single Particle ◽  
Short Range ◽  
Particle Energy ◽  
Pair Approximation ◽  
Single Particle Energy ◽  
Short Range Repulsion ◽  
Separable Potentials ◽  
Independent Pair

The single-particle-energy spectrum of a Λ particle in nuclear matter is examined in the independent-pair approximation, by assuming nonlocal separable potentials for the ΛN interaction. Effects of short-range repulsion in the ΛN interaction on the Λ binding are also examined in terms of separable potentials of rank two.

Comparative Study on Compositions of Oil-Water Transition Layer before and after ClO2-Treatment Process

2013 ◽  
Vol 652-654 ◽  
pp. 749-752
Author(s):  
Dan Dan Yuan ◽  
Hong Jun Wu ◽  
Hai Xia Sheng ◽  
Xin Sui ◽  
Bao Hui Wang
Keyword(s):  
Chemical Composition ◽  
Transition Layer ◽  
Solid Phase ◽  
Settling Tank ◽  
Physical Structure ◽  
Solid Particles ◽  
Viscosity Reduction ◽  
Insoluble Residue ◽  
Before And After ◽  
Oil Water

In order to meet the need of separating oil from water in the settling tank of the oilfield, ClO2 treatment for oil-water transition layer in settling tank is introduced. The field test displayed that the technique was achieved by a good performance. For understanding the oxidation and mechanism, compositions of oil-water transition layer were comparatively studied for before/after ClO2-treatment in this paper.The experimental results show that the compositions before and after ClO2-treatment, including physical structure and chemical composition, were varied in the great extension. The physical structure, consisting of water, oil and solid phase, was reduced to less than 5% of water and 0.5% of solid particle and increased to 95% of oil in layer compared with before-treatment, easily leading to clearly separating water from oil. The chemical composition of iron sulfide and acid insoluble substance in solid phase was decreased to more than 90% while the carbonate was reduced more than 70% . After the treatment, the viscosity reduction of the water phase in the layer was reached to 50% after oxidation demulsification with ClO2. The chemistry was discussed based on the principles and experiments. Due to ClO2 destroying (oxidizing) the rigid interface membrane structure which is supported by natural surfactant, polymer and solid particles with interface-active materials, the action accelerates the separating of water and oil and sedimentation of insoluble residue of acid in the layer. By demonstrating the experimental data and discussion, we can effectively control the oxidation performance of chlorine dioxide, which is very meaningful for oilfield on the aspect of stable production of petroleum.

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