scholarly journals Smoothness of the law of some one-dimensional jumping S.D.E.s with non-constant rate of jump

2008 ◽  
Vol 13 (0) ◽  
pp. 135-156 ◽  
Author(s):  
Nicolas Fournier
Keyword(s):  
One Dimensional ◽  
Constant Rate ◽  
The Law

Numerical assessment on the performance of variable area single- and two-stage ejectors: A comparative study

2021 ◽  
pp. 095440892110331
Author(s):  
Anil Kumar ◽  
Virendra Kumar ◽  
PMV Subbarao ◽  
Surendra K Yadav ◽  
Gaurav Singhal
Keyword(s):  
Change Theory ◽  
Single Stage ◽  
Two Stage ◽  
Entrainment Ratio ◽  
Ansys Fluent ◽  
One Dimensional ◽  
Flow Parameters ◽  
Constant Rate ◽  
Numerical Assessment ◽  
The One

The two-stage ejector has been suggested to replace the single-stage ejector geometrical configuration better to utilize the discharge flow’s redundant momentum to induce secondary flow. In this study, the one-dimensional gas dynamic constant rate of momentum change theory has been utilized to model a two-stage ejector along with a single-stage ejector. The proposed theory has been utilized in the computation of geometry and flow parameters of both the ejectors. The commercial computational fluid dynamics tool ANSYS-Fluent 14.0 has been utilized to predict performance and visualize the flow. The performance in terms of entrainment ratio has been compared under on- design and off-design conditions. The result shows that the two-stage ejector configuration has improved (≈57%) entrainment capacity than the single-stage ejector under the on-design condition.

scholarly journals A detailed study of the "radioactive decay" of, and the penetration of α-particles into, a simplified one-dimensional nucleus

1929 ◽  
Vol 124 (795) ◽  
pp. 493-501 ◽  
Keyword(s):  
Simple Model ◽  
Common Knowledge ◽  
Radioactive Decay ◽  
Particle Emission ◽  
Decay Process ◽  
Characteristic Energy ◽  
One Dimensional ◽  
Reverse Process ◽  
The Law ◽  
Α Particles

1. Introduction .—Gamow's elegant deduction by general arguments of the law of radioactive decay by α-particle emission and his subsequent investigations on artificial disintegration suggested to us the desirability of investigating as closely as possible any simple model of a decaying nucleus as a verification of his general approximations. For the model chosen the exact investigation of the decay process is almost trivial. Since we obtained this, now some time ago, Dr. Gamow informed us that he had also obtained equivalent detailed results. Still more recently such results have been published by Kudar. We shall not therefore dwell upon them here. The application of the same ideals, however, to the reverse process of penetration presents points of very definite interest, which we think are well worth discussion. The main point that arises is that the chance of penetration α-particle is or is not equal to a characteristic energy of the nucleus itself. This is a point which is not dealt with by Gamow in his paper. We have discussed it with him, and now put forward the results we have obtained. Since the solution of the decay problem is required in the main discussion of the penetration of α-particles into the nucleus it is included here in 2 for reference. We must emphasise that we claim no novelty, except of detail, for the work of 2; the general lines by now are a matter of fairly common knowledge.

Integration of one-dimensional equations of motions

2020 ◽  
pp. 79-90
Author(s):  
Gleb L. Kotkin ◽  
Valeriy G. Serbo
Keyword(s):  
Potential Energy ◽  
Field Change ◽  
One Dimensional ◽  
System A ◽  
Small Correction ◽  
The Law ◽  
The One ◽  
The Given ◽  
Equations Of Motions

If the potential energy is independent of time, the energy of the system remains constant during the motion of a closed system. A system with one degree of freedom allows for the determination of the law of motion in quadrature. In this chapter, the authors consider motion of the particles in the one-dimensional fields. They discuss also how the law and the period of a particle moving in the potential field change due to adding to the given field a small correction.

scholarly journals On the law of entropy increasing of a one-dimensional infinite system II

1994 ◽  
Vol 34 (4) ◽  
pp. 699-708 ◽  
Author(s):  
T. Niwa ◽  
S. Tanaka ◽  
M. Mizutani
Keyword(s):  
Infinite System ◽  
One Dimensional ◽  
The Law

The Seavoyage Controversy and the Kayasthas of North India, 1901—1909

1979 ◽  
Vol 13 (2) ◽  
pp. 265-299 ◽  
Author(s):  
Lucy Carroll
Keyword(s):  
Nineteenth Century ◽  
Twentieth Century ◽  
Social Reform ◽  
Social Conflict ◽  
North India ◽  
One Dimensional ◽  
Early Twentieth Century ◽  
The Law ◽  
Ancient Texts

Seavoyage was a social reform issue of some concern to the Hindus of Upper India in the latter part of the nineteenth century and the early twentieth century. Clearly there were compelling incentives for seavoyage; equally clearly there was a convention which prohibited such travel in the belief that it contravened the law laid down in ancient texts. But social conflict is seldom as one-dimensional as these statements imply.

scholarly journals Discussion: The theory of one-dimensional consolidation of saturated clays: part V, constant rate of deformation testing and analysis

Géotechnique ◽  
1987 ◽  
Vol 37 (4) ◽  
pp. 519-522
Author(s):  
D. Znidarcić ◽  
R. L. Schiffman ◽  
P. Pane ◽  
P. Croce ◽  
H.-Y. Ko ◽  
...  
Keyword(s):  
One Dimensional ◽  
Constant Rate

Numerical Simulation of Unsaturated Evaporation and Drying Front Advancing in One-Dimensional Soil Columns

2013 ◽  
Vol 353-356 ◽  
pp. 730-734
Author(s):  
Zhang Hua ◽  
Gao Kang ◽  
Xiong Yi
Keyword(s):  
Great Influence ◽  
Coupled Model ◽  
Dry Density ◽  
Soil Columns ◽  
Total Evaporation ◽  
One Dimensional ◽  
Actual Evaporation ◽  
Constant Rate ◽  
Three Stages ◽  
Simulation Results

A coupled model of heat-moisture flow with Penman-Wilson evaporation boundary condition is used for simulating evaporation processes in three 1D vertical columns with different dry densities. The simulation results show that unsaturated evaporation process has three stages, i.e. constant-rate stage, falling-rate stage and residual stage. The depth of drying front has a great influence on soil actual evaporation. The actual evaporation decreases as the drying front advancing downward. The total evaporation decreased with the increase of soil dry density. The velocity of drying front advancing in the soil of higher dry density is faster than that of lower dry density.

Integration of one-dimensional equations of motion

2020 ◽  
pp. 3-5
Author(s):  
Gleb L. Kotkin ◽  
Valeriy G. Serbo
Keyword(s):  
Potential Energy ◽  
Equations Of Motion ◽  
Field Change ◽  
One Dimensional ◽  
System A ◽  
Small Correction ◽  
The Law ◽  
The One ◽  
The Given

If the potential energy is independent of time, the energy of the system remains constant during the motion of a closed system. A system with one degree of freedom allows for the determination of the law of motion in quadrature. In this chapter, the authors consider motion of the particles in the one-dimensional fields. They discuss also how the law and the period of a particle moving in the potential field change due to adding to the given field a small correction.

Prediction of Erosion Profiles during ECM of Spiral Holes

2010 ◽  
Vol 443 ◽  
pp. 428-432
Author(s):  
Ming Huan Wang ◽  
Qiao Fang Zhang ◽  
C.K. Zhu ◽  
C.Y. Yao ◽  
Wei Peng
Keyword(s):  
Computational Model ◽  
Experimental Result ◽  
One Dimensional ◽  
The Law ◽  
Erosion Profiles

In this study the prediction of the erosion profiles during ECM of the spiral hole was presented. By assumptions, the major points were simplified into one-dimensional problems. The theoretical and computational model was built to illustrate the profile movement as the time elapses. The analysis was based on the law of electrolysis and the software MATLAB was used. Verifications were done through experiments and the deviation was 7.5% between theoretical and experimental result. On the basis of the prediction of the erosion profile, the applied parameters could be estimated.

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