IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v199y2025ip1s0960077925006332.html

Concentration and cavitation in the Euler equations for nonisentropic fluids with ideal polytropic dusty gas

Author

Listed:
  • Zhang, Yu
  • Yan, Chunwang
  • Zhang, Yanyan

Abstract

The phenomena of concentration and cavitation in fluid dynamics have long been a subject of significant interest from both mathematical and physical perspectives. While extensive research has been conducted for isentropic fluids and nonisentropic flows with ideal gases, relatively few studies have addressed nonisentropic fluids involving non-ideal gases. Thus, this work studies the Riemann problem for nonisentropic Euler flows with an ideal polytropic dusty gas — a key non-ideal gas — analyzing concentration and cavitation mechanisms in detail. The results demonstrate that concentration and cavitation necessarily arise when the pressure perturbation parameter and the specific density of solid particles simultaneously approach zero. Theoretical analysis is further validated through numerical simulations.

Suggested Citation

  • Zhang, Yu & Yan, Chunwang & Zhang, Yanyan, 2025. "Concentration and cavitation in the Euler equations for nonisentropic fluids with ideal polytropic dusty gas," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p1:s0960077925006332
    DOI: 10.1016/j.chaos.2025.116620
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925006332
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116620?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Nath, Triloki & Gupta, R.K. & Singh, L.P., 2017. "Solution of Riemann problem for ideal polytropic dusty gas," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 102-110.
    2. Jana, Sumita & Kuila, Sahadeb, 2022. "Exact solution of the flux perturbed Riemann problem for Cargo-LeRoux model in a van der Waals gas," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    3. Zhai, Cong & Wu, Weitiao, 2022. "A continuum model considering the uncertain velocity of preceding vehicles on gradient highways," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    4. Zhai, Cong & Wu, Weitiao & Zhang, Jiyong & Xiao, Yingping & Zhai, Min, 2024. "An anisotropic macroscopic mixed-flow model integrating the perceptual domains differences impact," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 653(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Minhajul, & Mondal, Rakib, 2023. "Wave interaction in isothermal drift-flux model of two-phase flows," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    2. Zhai, Cong & Wu, Weitiao & Xiao, Yingping & Zhang, Jiyong & Zhai, Min & Wu, Yingzi, 2025. "A novel throttle-based self-stabilizing control scheme integrated into an anisotropic continuum model to mitigate cyber-attacks in connected vehicle scenarios," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
    3. Zhang, Geng & Ren, Yue & Guo, Hai-Yan & Yang, Liang-Yi, 2025. "Nonlinear study for a new controlled lattice hydrodynamic model with different density information collaboration mechanisms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 671(C).
    4. Fan, Xinheng & Zeng, Junwei & Qian, Yongsheng & Zhang, Futao & Wei, Xu & Wang, Daohao, 2026. "Stability analysis of mixed-traffic platoons considering driver heterogeneity and the communication scale of connected vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 681(C).
    5. Guan, Xueyi & Qin, Jin & Cheng, Rongjun & Wang, Ting & Hao, Wei, 2025. "Hopf bifurcation analysis and control of two-lane car-following model for connected vehicles with driver assistance systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 667(C).
    6. Jin, Can & Peng, Guanghan & Huang, Yixin, 2025. "Phase transitions in operation of heterogeneous vehicles mixed with human-driven and connected autonomous vehicles under speed restriction circumstances," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
    7. Peng, Guanghan & Liu, Yuangui & Tan, Huili & Xia, Dongxue & Zhou, Tong, 2025. "Phase transition in lattice hydrodynamic model integrating random anomalous information under connected autonomous vehicles surroundings," Chaos, Solitons & Fractals, Elsevier, vol. 201(P2).
    8. Hu, Junjie & Lee, Jaeyoung Jay, 2025. "Car following dynamics in mixed traffic flow of autonomous and human-driven vehicles: Complex networks approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 665(C).
    9. Tan, Huili & Sun, Yuanlong & Xia, Dongxue & Peng, Guanghan, 2025. "Jamming transition in intelligent driver model integrating fault-tolerant control to counteract cyber-attacks within cellular vehicle-to-everything environments," Chaos, Solitons & Fractals, Elsevier, vol. 201(P3).
    10. Gu, Pei-Ni & Liang, Chen & Zhang, Geng & Pan, Dong-Bo, 2025. "Stability and nonlinear analyses for mixed traffic comprising human-driven vehicles and connected human-driven vehicles with different control strategies," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    11. Tian, Chuan & Kang, Yirong, 2025. "Modeling and optimal congestion control of multi-lane highway traffic with on-ramp and off-ramp under V2X environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 661(C).
    12. Siwach, Vikash & Yadav, Darshana & Redhu, Poonam, 2025. "Enhancing driver’s attention and overtaking efficiency in car-following model for Advanced Driver Assistance Systems (ADAS) vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 657(C).
    13. Jana, Sumita & Kuila, Sahadeb, 2022. "Exact solution of the flux perturbed Riemann problem for Cargo-LeRoux model in a van der Waals gas," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    14. Yadav, Darshana & Siwach, Vikash & Redhu, Poonam, 2025. "The interplay of passing, driver attention, and cyber attack-induced information delays on traffic stability," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    15. Zhai, Cong & Zhang, Ronghui & Peng, Tao & Zhong, Changfu & Xu, Hongguo, 2023. "Heterogeneous lattice hydrodynamic model and jamming transition mixed with connected vehicles and human-driven vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
    16. Peng, Guanghan & Xu, Mingzuo & Tan, Huili, 2024. "Phase transition in a new heterogeneous macro continuum model of traffic flow under rain and snow weather environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    17. Tian, Jiangtao & Li, Xingli & Guo, Qinghua & Kuang, Hua, 2024. "Dynamics characteristic of pedestrians’ particular overtaking behavior based on an improved social force model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
    18. Karna, Ashutosh Kumar & Satapathy, Purnima, 2023. "Lie symmetry analysis for the Cargo–Leroux model with isentropic perturbation pressure equation of state," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    19. Zhai, Cong & Wu, Weitiao & Xiao, Yingping, 2023. "The jamming transition of multi-lane lattice hydrodynamic model with passing effect," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    20. Tian, Chuan & Kang, Yi-rong, 2025. "Density-dependent overtaking and its impact on chaotic jam and phase transitions in a two-lane lattice model on curved roads," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:199:y:2025:i:p1:s0960077925006332. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.