The Riemann problem for the one-dimensional compressible flow of a van der Waals gas

被引：5
|
作者：
Pang, Yicheng [1 ]
Hu, Min [1 ]
机构：
[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Guizhou, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 05期
基金：
中国国家自然科学基金;
关键词：
System of balance laws; Compressible fluid; Riemann problem; EULER EQUATIONS; CONSERVATION-LAWS; MOMENTUM; SYSTEM; ENERGY; MASS;
D O I：
10.1007/s00033-019-1177-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We address the Riemann problem for the one-dimensional compressive flow of a van der Waals gas, in which the external force is a given continuous function of time. The explicit forms for shock wave, contact discontinuity and rarefaction wave are presented. The influence of van der Waals parameter on these elementary waves is discussed. Furthermore, we obtain six kinds of solutions to this Riemann problem and establish a condition for the occurrence of vacuum in the solutions. Particularly, all of the solutions are not self-similar in (t, x)-plane due to the presence of the time-dependent external force.
引用
收藏
页数：15
相关论文
共 50 条
  • [21] Solution to the Riemann problem in a one-dimensional magnetogasdynamic flow
    Sekhar, T. Raja
    Sharma, V. D.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2012, 89 (02) : 200 - 216
  • [22] ONE-DIMENSIONAL COMPRESSIBLE GAS FLOW IN DUCTS.
    Anon
    Engineering Sciences Data Unit, Data Items, 1981,
  • [23] Two-Dimensional Vertical Transistor with One-Dimensional van der Waals Contact
    Mei, Zhen
    Li, Xuanzhang
    Liang, Liang
    Li, Yuheng
    Zhao, Zhongyuan
    Zhou, Zuoping
    Li, Qunqing
    Fan, Shoushan
    Wang, Jiaping
    Wei, Yang
    ACS NANO, 2024, 18 (41) : 28301 - 28310
  • [24] Horizontal Arrays of One-Dimensional van der Waals Heterostructures as Transistor Channels
    Matsushita, Satoru
    Otsuka, Keigo
    Sugihara, Taiki
    Zhu, Guangyao
    Kittipaisalsilpa, Kasidis
    Lee, Minhyeok
    Xiang, Rong
    Chiashi, Shohei
    Maruyama, Shigeo
    ACS APPLIED MATERIALS & INTERFACES, 2023, 15 (08) : 10965 - 10973
  • [25] Research progress of one-dimensional van der Waals atomic chain materials
    Zhan, Pengxin
    He, Ping
    Wang, Zike
    Luo, Lingxin
    Cui, Xueping
    Zheng, Jian
    SCIENCE CHINA-MATERIALS, 2025, 68 (02) : 364 - 386
  • [26] Nonadditive properties of van der Waals interactions in a one-dimensional dipole array
    Inui, Norio
    PHYSICAL REVIEW A, 2020, 102 (02)
  • [27] The formation of a one-dimensional van der Waals selenium crystal from the three-dimensional amorphous phase: A spectroscopic signature of van der Waals bonding
    Krbal, Milos
    Kolobov, Alexander V.
    Fons, Paul
    Saito, Yuta
    Belev, George
    Kasap, Safa
    APPLIED PHYSICS LETTERS, 2022, 120 (03)
  • [28] Riemann problem for van der Waals reacting gases with dust particles
    Lhinghoineng Kipgen
    Randheer Singh
    Ricerche di Matematica, 2024, 73 : 965 - 988
  • [29] Riemann problem for van der Waals reacting gases with dust particles
    Kipgen, Lhinghoineng
    Singh, Randheer
    RICERCHE DI MATEMATICA, 2024, 73 (02) : 965 - 988
  • [30] The Riemann problem for van der Waals fluids with nonclassical phase transitions
    Mai Duc Thanh
    Duong Xuan Vinh
    HOKKAIDO MATHEMATICAL JOURNAL, 2021, 50 (02) : 263 - 295
12345