COUPLING CONDITIONS FOR THE TRANSITION FROM SUPERSONIC TO SUBSONIC FLUID STATES

被引：8

作者：

Gugat, Martin ^{[1
]}

Herty, Michael ^{[2
]}

Mueller, Siegfried ^{[2
]}

机构：

[1] Friedrich Alexander Univ Erlangen Nurnberg FAU, Lehrstuhl Angew Math 2, Cauerstr 11, D-91058 Erlangen, Germany

[2] Rhein Westfal TH Aachen, Inst Geometr & Prakt Math, Templergraben 55, D-52064 Aachen, Germany

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2017年 / 12卷 / 03期

关键词：

p-system; coupling; conditions networks; TRAFFIC FLOW; P-SYSTEM; NETWORKS; JUNCTION;

D O I：

10.3934/nhm.2017016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss coupling conditions for the p-system in case of a transition from supersonic states to subsonic states. A single junction with adjacent pipes is considered where on each pipe the gas flow is governed by a general p-system. By extending the notion of demand and supply known from traffic flow analysis we obtain a constructive existence result of solutions compatible with the introduced conditions.

引用

页码：371 / 380

页数：10

共 50 条

[1] Coupling conditions for the transition from supersonic to subsonic Fluid states
Gugat, Martin
Herty, Michael
Müller, Siegfried
[J]. Networks and Heterogeneous Media, 2017, 12 (03): : 371 - 380
[2] The transition from subsonic to supersonic cracks
Behn, Chris
Marder, M.
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2015, 373 (2038):
[3] SHOCKLESS TRANSITION FROM SUPERSONIC TO SUBSONIC FLOW
BEANS, EW
[J]. JOURNAL OF PROPULSION AND POWER, 1995, 11 (02) : 387 - 389
[4] Transition from supersonic to subsonic waves in superfluid Fermi gases
Van Loon, Senne
Van Alphen, Wout
Tempere, Jacques
Kurkjian, Hadrien
[J]. PHYSICAL REVIEW A, 2018, 98 (06)
[5] Supersonic - Subsonic transition in relatively narrow channels
Dvorák R.
[J]. Journal of Thermal Science, 2000, 9 (4) : 311 - 315
[6] ON TRANSITION FROM SUPERSONIC TO SUBSONIC FLOW AT LOW REYNOLDS NUMBERS IN A TUBE
CHEN, RY
WILLIAMS, JC
[J]. JOURNAL OF APPLIED MECHANICS, 1969, 36 (02): : 146 - &
[7] ON TRANSITION FROM SUPERSONIC TO SUBSONIC FLOW AT LOW REYNOLDS NUMBERS IN A TUBE
CHEN, RY
WILLIAMS, JC
[J]. MECHANICAL ENGINEERING, 1969, 91 (10) : 82 - &
[8] Planetary Impacts: Scaling of Crater Depth From Subsonic to Supersonic Conditions
Allibert, L.
Landeau, M.
Roehlen, R.
Maller, A.
Nakajima, M.
Wuennemann, K.
[J]. JOURNAL OF GEOPHYSICAL RESEARCH-PLANETS, 2023, 128 (08)
[9] Local supersonic and subsonic combustion mode transition in a supersonic jet flame
Cao, Donggang
He, Guoqiang
Qin, Fei
Michaels, Dan
[J]. PROCEEDINGS OF THE COMBUSTION INSTITUTE, 2019, 37 (03) : 3723 - 3731
[10] TRANSITION EXPERIMENTS ON A FLAT PLATE AT SUBSONIC AND SUPERSONIC SPEEDS
OWEN, FK
[J]. AIAA JOURNAL, 1970, 8 (03) : 518 - &

← 1 2 3 4 5 →