scholarly journals Mathematical model of nonstationary hydraulic processes in gas centrifuge cascade for separation of multicomponent isotope mixtures

2016 ◽  
Vol 92 ◽  
pp. 01033 ◽  
Author(s):  
Alexey Orlov ◽  
Anton Ushakov ◽  
Victor Sovach
Keyword(s):  
Mathematical Model ◽  
Gas Centrifuge ◽  
Multicomponent Isotope ◽  
Hydraulic Processes

Mathematical Model of Non-Stationary Hydraulic Processes Occurring in Gas Centrifuges for Uranium Enrichment

2015 ◽  
Vol 1084 ◽  
pp. 673-677 ◽  
Author(s):  
Aleksey A. Orlov ◽  
Sergey N. Timchenko ◽  
Vladimir S. Sidorenko
Keyword(s):  
Mathematical Model ◽  
Differential Equations ◽  
Technological Equipment ◽  
Uranium Enrichment ◽  
Emergency Situations ◽  
Gas Centrifuge ◽  
The Mathematical Model ◽  
Hydraulic Processes ◽  
Centrifuge Cascades

In this article the mathematical model of non-stationary hydraulic processes occurring in gas centrifuge cascades for uranium enrichment is described. This model simulates the technological equipment behavior in standard and emergency situations for possible operational and disturbing influences. Also, the algorithm of differential equations system solving for this model is represented.

A Study of the Effects of Baffles on Rotating Compressible Flows

1989 ◽  
Vol 56 (3) ◽  
pp. 710-712
Author(s):  
Max D. Gunzburger ◽  
Houston G. Wood ◽  
Rosser L. Wayland
Keyword(s):  
Fluid Dynamics ◽  
Mathematical Model ◽  
Compressible Flows ◽  
Numerical Examples ◽  
Thermal Boundary Conditions ◽  
Gas Centrifuge ◽  
Mass Injection ◽  
Flow Domain ◽  
The Mathematical Model ◽  
Element Algorithm

Onsager’s pancake equation for the fluid dynamics of a gas centrifuge is modified for the case of centrifuges with baffles which render the flow domain doubly connected. A finite element algorithm is used for solving the mathematical model and to compute numerical examples for flow fields induced by thermal boundary conditions and by mass injection and extraction.

scholarly journals Fractional-order mathematical model of an irrigation main canal pool

2015 ◽  
Vol 13 (3) ◽  
pp. e0212 ◽  
Author(s):  
Shlomi N. Calderon-Valdez ◽  
Vicente Feliu-Batlle ◽  
Raul Rivas-Perez
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Fractional Order ◽  
Order Model ◽  
Integer Order ◽  
Direct System ◽  
Fractional Order Model ◽  
Main Canal ◽  
Laboratory Prototype ◽  
Hydraulic Processes

<p>In this paper a fractional order model for an irrigation main canal is proposed. It is based on the experiments developed in a laboratory prototype of a hydraulic canal and the application of a direct system identification methodology. The hydraulic processes that take place in this canal are equivalent to those that occur in real main irrigation canals and the results obtained here can therefore be easily extended to real canals. The accuracy of the proposed fractional order model is compared by deriving two other integer-order models of the canal of a complexity similar to that proposed here. The parameters of these three mathematical models have been identified by minimizing the Integral Square Error (<em>ISE</em>) performance index existing between the models and the real-time experimental data obtained from the canal prototype. A comparison of the performances of these three models shows that the fractional-order model has the lowest error and therefore the higher accuracy. Experiments showed that our model outperformed the accuracy of the integer-order models by about 25%, which is a significant improvement as regards to capturing the canal dynamics.</p>

scholarly journals Separation of multicomponent isotope mixture during filling of gas centrifuge cascade

2019 ◽  
Vol 2019 (3) ◽  
pp. 75-87
Author(s):  
Alexey Alexeevich Orlov ◽  
Anton Andreevich Ushakov ◽  
Viktor Petrovich Sovach
Keyword(s):  
Isotope Mixture ◽  
Multicomponent Isotope Mixture ◽  
Gas Centrifuge ◽  
Multicomponent Isotope
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