scholarly journals TWO-DIMENSIONAL VORTEX SOURCE

2020 ◽  
Vol 8 (2) ◽  
pp. 44-48
Author(s):  
Viktor Kochanenko ◽  
Olga Burtseva ◽  
Maria Aleksandrova
Keyword(s):  
Mathematical Modeling ◽  
Analytical Theory ◽  
Two Dimensional ◽  
Real Potential ◽  
Water Flows ◽  
Potential Flows ◽  
Vortex Source ◽  
Two Dimensional Flows

In this paper, we show in principle a method for solving the problem of a two-dimensional vortex source in terms of flow. The material of the article relates to mathematical modeling of classical two-dimensional problems in terms of potential flows. The resulting solution is similar to the results for a flat vortex source and is an important result for the development of the analytical theory of two-dimensional in terms of potential water flows. Other solutions for real potential two-dimensional flows are considered, which are clarified by the authors, which confirms the relevance of the work.

scholarly journals METHOD OF ANALOGIES BETWEEN HYDRAULICS OF TWO-DIMENSIONAL WATER FLOWS AND GAS DYNAMICS

2020 ◽  
Vol 8 (2) ◽  
pp. 49-52 ◽  
Author(s):  
Maria Aleksandrova
Keyword(s):  
Gas Dynamics ◽  
Analytical Theory ◽  
Two Dimensional ◽  
Real Potential ◽  
Gas Dynamics Equations ◽  
Water Flows ◽  
Two Dimensional Flows

Real potential two-dimensional flows of practical hydraulics are considered, which can be considered with a certain accuracy as two-dimensional in terms, which confirms the relevance of the work. It is proposed to use the method of analogies when applying gas dynamics equations in hydraulics. An important result was obtained for the development of the analytical theory of two-dimensional potential water flows.

scholarly journals Specific features of mathematical modeling of flows with detonation waves on unstructured computational grids

2017 ◽  
pp. 348-358
Author(s):  
А.И. Лопато ◽  
П.С. Уткин
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Numerical Algorithm ◽  
Plane Channel ◽  
Second Order ◽  
Computational Grids ◽  
Detonation Waves ◽  
Two Dimensional ◽  
Cellular Detonation ◽  
Two Dimensional Flows

Представлены математическая модель и вычислительный алгоритм для математического моделирования двумерных течений с волнами детонации на полностью неструктурированных расчетных сетках с треугольными ячейками. Рассмотрена задача о формировании ячеистой детонации в плоском канале для случая устойчивой детонации при различном сеточном разрешении и с использованием схем первого и второго порядков аппроксимации. A mathematical model and a numerical algorithm for the mathematical modeling of two-dimensional flows with detonation waves on fully unstructured computational grids with triangular cells are proposed. The problem concerning the formation of cellular detonation in a plane channel in the case of stable detonation for different grid resolutions and with the use of first and second order schemes is considered.

scholarly journals The strain rate in evolutions of (elliptical) vortices in inviscid two-dimensional flows

2001 ◽  
Vol 13 (12) ◽  
pp. 3699-3708 ◽  
Author(s):  
P. W. C. Vosbeek ◽  
G. J. F. van Heijst ◽  
V. P. Mogendorff
Keyword(s):  
Strain Rate ◽  
Two Dimensional ◽  
Two Dimensional Flows

scholarly journals Water friction in nanofluidic channels made from two-dimensional crystals

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Ashok Keerthi ◽  
Solleti Goutham ◽  
Yi You ◽  
Pawin Iamprasertkun ◽  
Robert A. W. Dryfe ◽  
...  
Keyword(s):  
Hexagonal Boron Nitride ◽  
Slip Length ◽  
Two Dimensional ◽  
Water Flows ◽  
Nanofluidic Channels ◽  
Molecular Separation ◽  
Solid Liquid Interface ◽  
Solid Liquid ◽  
Biological Channels ◽  
Atomically Flat

AbstractMembrane-based applications such as osmotic power generation, desalination and molecular separation would benefit from decreasing water friction in nanoscale channels. However, mechanisms that allow fast water flows are not fully understood yet. Here we report angstrom-scale capillaries made from atomically flat crystals and study the effect of confining walls’ material on water friction. A massive difference is observed between channels made from isostructural graphite and hexagonal boron nitride, which is attributed to different electrostatic and chemical interactions at the solid-liquid interface. Using precision microgravimetry and ion streaming measurements, we evaluate the slip length, a measure of water friction, and investigate its possible links with electrical conductivity, wettability, surface charge and polarity of the confining walls. We also show that water friction can be controlled using hybrid capillaries with different slip lengths at opposing walls. The reported advances extend nanofluidics’ toolkit for designing smart membranes and mimicking manifold machinery of biological channels.

Detonation induced two-dimensional flows

1974 ◽  
Vol 1 (3-4) ◽  
pp. 373-384 ◽  
Author(s):  
Charles L. Mader
Keyword(s):  
Two Dimensional ◽  
Two Dimensional Flows
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