Some Two-Dimensional Aspects of the Ejector Problem

1942 ◽  
Vol 9 (4) ◽  
pp. A151-A154 ◽  
Author(s):  
J. A. Goff ◽  
C. H. Coogan
Keyword(s):  
Turbulent Mixing ◽  
Rational Design ◽  
Two Dimensional ◽  
Mixing Zone ◽  
One Dimensional ◽  
Air Stream ◽  
The Right

Abstract Several investigators have attempted to analyze the performance of the ejector on a one-dimensional basis. Some doubt exists whether such analyses can lead to a rational ejector design because of the questionable validity of certain necessary assumptions. Recently, consideration has been given to the two-dimensional aspects of the problem, and while a rational design has not yet been evolved, the results attained seem to point in the right direction. The theory of turbulent mixing in jets, developed by Tollmien is used as the basis of the study reported in this paper. Tollmien’s analysis of the mixing zone produced by a homogeneous air stream issuing into still air of the same pressure and density is reviewed. The authors then extend the theory to allow for the possibility that the driving and driven fluids may have widely different densities.

Distinct chiral units from an axially prochiral ligand in a photoluminescent zinc(II)–organic complex

2012 ◽  
Vol 68 (4) ◽  
pp. m90-m93 ◽  
Author(s):  
Ming-Xing Zhang ◽  
Xin Chen ◽  
Kun-Lin Huang ◽  
Yi Zhu ◽  
Shan-Shan Yang
Keyword(s):  
Hydrogen Bonds ◽  
Title Compound ◽  
Helical Chain ◽  
Supramolecular Architecture ◽  
Two Dimensional ◽  
Asymmetric Unit ◽  
Organic Complex ◽  
One Dimensional ◽  
Left Handed ◽  
The Right

The asymmetric unit of the title compound, poly[(dimethylamine-κN)[μ3-(E)-2,6-dimethyl-4-styrylpyridine-3,5-dicarboxylato-κ3O3:O3′:O5]zinc(II)], [Zn(C17H13NO4)(C2H7N)]n, consists of one crystallographically independent distorted tetrahedral ZnIIcation, one (E)-2,6-dimethyl-4-styrylpyridine-3,5-dicarboxylate (mspda2−) ligand and one coordinated dimethylamine molecule. TwoS- andR-type chiral units are generated from the axially prochiral mspda2−ligand through C—H...O hydrogen bonds. TheR-type chiral units assemble a left-handed (M) Zn–mspda helical chain, while the right-handed (P) Zn–mspda helical chain is constructed from neighbouringS-type chiral units. TheP- andM-type helical chains are interlinked by carboxylate O atoms to form a one-dimensional ladder. Interchain N—H...O hydrogen bonds extend these one-dimensional ladders into a two-dimensional supramolecular architecture. The title compound exhibits luminescence at λmax= 432 nm upon excitation at 365 nm.

Dynamic Stability

2020 ◽  
pp. 346-364
Author(s):  
Kasper M. Hansen ◽  
Rune Stubager
Keyword(s):  
Cultural Values ◽  
Geographical Location ◽  
Vote Choice ◽  
Dimensional System ◽  
Two Dimensional ◽  
One Dimensional ◽  
Gender And Education ◽  
Party Choice ◽  
Consistent Manner ◽  
The Right

Danish voter behaviour has been characterized by increasing volatility, suggesting a growing pool of floating voters. This interpretation, however, does not seem fitting. First, there are no signs of increasing volatility between the two major blocs in Danish politics—the left and the right. Second, analyses document that even though one of the previously strong, socio-structural anchors of party choice—social class—has had decreasing influence on the vote over the period since the early 1970s, other socio-structural anchors have growing importance. These include gender and education, just as geographical location seems to maintain an influence on the vote. Similarly, voters’ positions on the socio-structural anchor variables feed into their position on the two major attitudinal dimensions structuring vote choice: economic redistribution and cultural values. Thus, an important explanation for the rise in volatility is the transition from a one-dimensional system to a two-dimensional one where voters base their decisions on both economic and cultural positions. Within this political space, we finally observe how the parties’ positioning in the competition for votes influences vote choices in a consistent manner.

Computational Studies of Two-Dimensional Rayleigh-Taylor Driven Mixing for a Tilted-Rig

2014 ◽  
Vol 136 (9) ◽  
Author(s):  
Malcolm J. Andrews ◽  
David L. Youngs ◽  
Daniel Livescu ◽  
Tie Wei
Keyword(s):  
Turbulent Mixing ◽  
Large Scale ◽  
Large Eddy Simulations ◽  
Two Dimensional ◽  
Complex Flows ◽  
Molecular Mixing ◽  
One Dimensional ◽  
Large Eddy ◽  
Mixing Problem ◽  
Good Agreement

A time-dependent, incompressible, turbulent mixing problem, referred here to as the “tilted-rig,” is defined, based results from an experiment that involved the introduction of a large-scale overturning motion, with a superposed localized Rayleigh-Taylor (RT) driven mixing. The problem serves to examine the development of RT turbulent mixing while being strained by a large-scale two-dimensional confined motion. Care is taken to define the problem in detail so others might use the definition, and the results, to help develop advanced models of buoyancy driven mixing in complex flows. Aside from a careful definition, the problem has been solved using two different implicit-large-Eddy-simulations (ILES) based codes, and with a direct numerical simulations (DNS) code. Two-dimensional and one-dimensional mix metrics are defined, and then used to examine the development of the mixing region, and the overall evolution of the flow. Comparison of simulations with experiment reveals that large-scale overturning can be well captured in all the simulations, similarly central mix widths, and spike/bubble sidewall penetrations are also in good agreement. A comparison between the different simulation methodologies, ILES and DNS, reveals an overall good agreement between mix metrics such as the amount of molecular mixing. The DNS simulations reveal a dependency on Reynolds number that merits further experimental work.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

State-of-the-Art of Modeling Surface Water Impoundments

1982 ◽  
Vol 14 (1-2) ◽  
pp. 241-261 ◽  
Author(s):  
P A Krenkel ◽  
R H French
Keyword(s):  
Water Quality ◽  
Surface Water ◽  
State Of The Art ◽  
Rate Coefficients ◽  
Two Dimensional ◽  
One Dimensional ◽  
Integral Energy ◽  
Range Of Values ◽  
Dimensional Integral ◽  
Water Impoundment

The state-of-the-art of surface water impoundment modeling is examined from the viewpoints of both hydrodynamics and water quality. In the area of hydrodynamics current one dimensional integral energy and two dimensional models are discussed. In the area of water quality, the formulations used for various parameters are presented with a range of values for the associated rate coefficients.

The formation of gas hydrates under shock wave impact on the bubble media (two-dimensional case)

2010 ◽  
Vol 7 ◽  
pp. 90-97
Author(s):  
M.N. Galimzianov ◽  
I.A. Chiglintsev ◽  
U.O. Agisheva ◽  
V.A. Buzina
Keyword(s):  
Shock Wave ◽  
Gas Hydrates ◽  
Hydrate Formation ◽  
Dimensional Case ◽  
Two Dimensional ◽  
Wave Impact ◽  
Bubble Liquid ◽  
One Dimensional ◽  
Bubble Media ◽  
Main Factors

Formation of gas hydrates under shock wave impact on bubble media (two-dimensional case) The dynamics of plane one-dimensional shock waves applied to the available experimental data for the water–freon media is studied on the base of the theoretical model of the bubble liquid improved with taking into account possible hydrate formation. The scheme of accounting of the bubble crushing in a shock wave that is one of the main factors in the hydrate formation intensification with increasing shock wave amplitude is proposed.

Modifications of the Godunov method for computing disturbance propagation in an elastic body

2016 ◽  
Vol 11 (1) ◽  
pp. 119-126 ◽  
Author(s):  
A.A. Aganin ◽  
N.A. Khismatullina
Keyword(s):  
Elastic Body ◽  
Godunov Method ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Order Accuracy ◽  
One Dimensional ◽  
Disturbance Propagation ◽  
Linear Waves ◽  
Longitudinal And Shear Waves ◽  
Contact Discontinuities

Numerical investigation of efficiency of UNO- and TVD-modifications of the Godunov method of the second order accuracy for computation of linear waves in an elastic body in comparison with the classical Godunov method is carried out. To this end, one-dimensional cylindrical Riemann problems are considered. It is shown that the both modifications are considerably more accurate in describing radially converging as well as diverging longitudinal and shear waves and contact discontinuities both in one- and two-dimensional problem statements. At that the UNO-modification is more preferable than the TVD-modification because exact implementation of the TVD property in the TVD-modification is reached at the expense of “cutting” solution extrema.

Investigation of two-dimensional nonstationary processes of outflow a gas-saturated liquid from axisymmetric vessels

2012 ◽  
Vol 9 (1) ◽  
pp. 47-52
Author(s):  
R.Kh. Bolotnova ◽  
V.A. Buzina
Keyword(s):  
Comparative Analysis ◽  
Numerical Model ◽  
Liquid Mixture ◽  
Phase Model ◽  
Test Problems ◽  
Two Dimensional ◽  
Nonstationary Processes ◽  
Saturated Liquid ◽  
Two Phase ◽  
One Dimensional

The two-dimensional and two-phase model of the gas-liquid mixture is constructed. The validity of numerical model realization is justified by using a comparative analysis of test problems solution with one-dimensional calculations. The regularities of gas-saturated liquid outflow from axisymmetric vessels for different geometries are established.

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