Interaction of fan–jump–fan composite waves in a two-dimensional steady jet for van der Waals gases

2017 ◽  
Vol 14 (01) ◽  
pp. 73-134 ◽  
Author(s):  
Geng Lai
Keyword(s):  
Supersonic Flow ◽  
Van Der Waals ◽  
Wave Interaction ◽  
Goursat Problem ◽  
Two Dimensional ◽  
Interaction Zone ◽  
Simple Waves ◽  
Discontinuous Boundary ◽  
Type Boundary ◽  
Discontinuous Boundary Data

We consider a two-dimensional (2D) steady jet generated by gas streaming in parallel supersonic flow out of a duct and into the atmosphere. When the gas is a van der Waals gas, at the corners at the exit of the duct, the parallel supersonic flow expands symmetrically into centered simple waves, jump–fan (JF) composite waves, fan–jump composite waves, or fan–jump–fan (FJF) composite waves. This paper studies the interaction of the symmetric centered FJF composite waves in the jet. The interaction of the FJF composite waves is more involved in comparison to our earlier work on the interaction of the symmetric centered JF composite waves, since the flow in the FJF composite wave interaction zone is rotational. To construct the flow in the interaction zone, we consider a Goursat-type boundary value problem with discontinuous boundary data associated with the 2D and isentropic steady Euler equations. The existence of a global piecewise smooth solution to this Goursat problem is obtained by a new method based on characteristics.

Supersonic Flow Past a Wedge with a Flame at its Apex

1968 ◽  
Vol 19 (1) ◽  
pp. 80-90 ◽  
Author(s):  
R. Foster ◽  
J. F. Clarke
Keyword(s):  
Supersonic Flow ◽  
Flame Front ◽  
Flow Patterns ◽  
Chemical Energy ◽  
Two Dimensional ◽  
Pressure Flow ◽  
Simple Waves ◽  
Flow Past ◽  
Flow Deflection ◽  
Plane Flame

SummaryThe wholly supersonic flow past a two-dimensional wedge is analysed on the assumption that release of chemical energy into the stream can be accomplished across a thin discontinuous plane flame front attached to the apex. Forces experienced by the wedge are calculated and representative flow patterns exhibited. Some typical interactions between the flame and shocks or centred simple waves are discussed, with emphasis on the use of pressure-flow-deflection diagrams to obtain results.

On the rarefaction waves of the two-dimensional compressible Euler equations for magnetohydrodynamics

2020 ◽  
Vol 17 (03) ◽  
pp. 591-612
Author(s):  
Jianjun Chen ◽  
Geng Lai ◽  
Wancheng Sheng
Keyword(s):  
Euler Equations ◽  
Magnetic Fluid ◽  
Fluid Velocity ◽  
Goursat Problem ◽  
Two Dimensional ◽  
Interaction Zone ◽  
Rarefaction Waves ◽  
Plane Symmetric ◽  
Half Angle ◽  
Self Similar

The expansion of a wedge of magnetic fluid into vacuum is studied in this paper. The magnetic fluid away from the sharp corner of a wedge expands into the vacuum as two plane-symmetric rarefaction waves, and the problem can be reduced to the interaction of these two rarefaction waves. In order to determine the flow in the interaction zone, we formulate a Goursat problem for the two-dimensional, self-similar Euler equations of magnetohydrodynamic. This system is of mixed type, and the type at each point is determined by the local fluid velocity and the local magneto-acoustic speed. We establish that the system is uniformly hyperbolic in the interaction zone when the half-angle of the wedge is less than some angle [Formula: see text], while the existence of a global classical solution to the Goursat problem is proven by a method of characteristic decomposition.

The two-dimensional unsteady supersonic flow around a convex corner

2018 ◽  
Vol 15 (03) ◽  
pp. 443-461 ◽  
Author(s):  
Wancheng Sheng ◽  
Shouke You
Keyword(s):  
Supersonic Flow ◽  
Euler Equations ◽  
Compression Wave ◽  
The Self ◽  
Two Dimensional ◽  
Convex Corner ◽  
Simple Waves ◽  
Unsteady Supersonic Flow ◽  
Self Similar Solution ◽  
Self Similar

The flow around a convex corner is one of the most important elementary flows. In this paper, we are concerned with the two-dimensional (2D) unsteady supersonic flow turning a convex corner. We firstly give the properties of general centered simple for the two-dimensional isentropic irrotational pesudo-steady Euler equations. Then, by using the properties of general centered simple waves, we construct the self-similar solution for the two-dimensional isentropic irrotational supersonic flow around a convex corner and prove that the supersonic flow turns the convex corner by a centered expansion wave or a centered compression wave under appropriate conditions on the downstream state.

Two-dimensional topological insulators exfoliated from Na3Bi-like Dirac semimetals

2021 ◽  
Author(s):  
Xiaoqiu Guo ◽  
Ruixin Yu ◽  
Jingwen Jiang ◽  
Zhuang Ma ◽  
Xiuwen Zhang
Keyword(s):  
Physical Properties ◽  
Epitaxial Growth ◽  
Topological Insulators ◽  
2D Materials ◽  
Van Der Waals ◽  
Two Dimensional ◽  
Dirac Semimetals

Topological insulation is widely predicted in two-dimensional (2D) materials realized by epitaxial growth or van der Waals (vdW) exfoliation. Such 2D topological insulators (TI’s) host many interesting physical properties such...

scholarly journals High performance self-powered photodetector based on 1D Te-2D WS2 mixed-dimensional heterostructure

2021 ◽  
Author(s):  
Lixiang Han ◽  
Mengmeng Yang ◽  
Peiting Wen ◽  
Wei Gao ◽  
nengjie huo ◽  
...  
Keyword(s):  
High Performance ◽  
Van Der Waals ◽  
Sharp Interface ◽  
Two Dimensional ◽  
High Quality ◽  
One Dimensional ◽  
Self Powered

One dimensional (1D)-two dimensional (2D) van der Waals (vdWs) mixed-dimensional heterostructures with advantages of atomically sharp interface, high quality and good compatibility have attracted tremendous attention in recent years. The...

Biaxial strain, electric field and interlayer distance-tailored electronic structure and magnetic properties of two-dimensional g-C3N4/Li-adsorbed Cr2Ge2Te6 van der Waals heterostructures

2021 ◽  
Vol 23 (10) ◽  
pp. 6171-6181
Author(s):  
Yaoqi Gao ◽  
Baozeng Zhou ◽  
Xiaocha Wang
Keyword(s):  
Magnetic Properties ◽  
Electronic Structure ◽  
Electric Field ◽  
Van Der Waals ◽  
Interlayer Distance ◽  
Two Dimensional ◽  
Biaxial Strain ◽  
Van Der Waals Heterostructures

It is found that the biaxial strain, electric field and interlayer distance can effectively modulate the electronic structure and magnetic properties of two-dimensional van der Waals heterostructures.

scholarly journals Superconducting contact and quantum interference between two-dimensional van der Waals and three-dimensional conventional superconductors

2021 ◽  
Vol 5 (1) ◽  
Author(s):  
Michael R. Sinko ◽  
Sergio C. de la Barrera ◽  
Olivia Lanes ◽  
Kenji Watanabe ◽  
Takashi Taniguchi ◽  
...  
Keyword(s):  
Quantum Interference ◽  
Van Der Waals ◽  
Three Dimensional ◽  
Two Dimensional
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