IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v24y2013i05ns0129183113500290.html
   My bibliography  Save this article

Predicting Continuum Breakdown Of Rarefied Micro/Nano Flows Using Entropy And Entropy Generation Analysis

Author

Listed:
  • HAMID NIAZMAND

    (Mechanical Engineering Department, Ferdowsi University of Mashhad, Azadi Sq., Mashhad, Iran)

  • ALIREZA MOHAMMADZADEH

    (Mechanical Engineering Department, Ferdowsi University of Mashhad, Azadi Sq., Mashhad, Iran)

  • EHSAN ROOHI

    (Mechanical Engineering Department, Ferdowsi University of Mashhad, Azadi Sq., Mashhad, Iran)

Abstract

In the current study, the DSMC method is utilized to obtain the entropy, entropy generation and the local gradient length Knudsen number in the rarefied flows. Two particular geometries, cavity and flat plate, are considered to study the departure from equilibrium state in the presence of sudden expansion/contraction, bend in the velocity profile, boundary flow and shock waves. The entire slip regime is considered to investigate small and large nonequilibrium effects on the entropy and entropy productions. Our investigation reveals that the distribution of entropy in the rarefied flow is very similar to the temperature contour. The entropy generation distribution in the micro cavity indicates that the two top corners are the regions around which departure from equilibrium state takes place. The study of entropy generation over the flat plate reveals that the entropy production is maximized along the shock wave. Moreover, increasing the rarefaction effects thickens the nonequilibrium shock wave. We also observed that increasing the nonequilibrium effects reduces the level of entropy generation in the rarefied flow. As the flow density decreases in the nonequilibrium regime, the level of shear stress and heat flux reduces, which subsequently lower the level of entropy generation in the rarefied flows. Furthermore, it was found that although the level of entropy generation in the flow reduces as the Knudsen number increases, the boundaries of the maximum entropy production region extends under large rarefaction effects.

Suggested Citation

  • Hamid Niazmand & Alireza Mohammadzadeh & Ehsan Roohi, 2013. "Predicting Continuum Breakdown Of Rarefied Micro/Nano Flows Using Entropy And Entropy Generation Analysis," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(05), pages 1-24.
    • Handle: RePEc:wsi:ijmpcx:v:24:y:2013:i:05:n:s0129183113500290
    DOI: 10.1142/S0129183113500290
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183113500290
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183113500290?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Eu, Byung Chan & Mao, Kefei, 1992. "Kinetic theory approach to irreversible thermodynamics of radiation and matter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 180(1), pages 65-114.
    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. Fort, J., 1997. "Information-theoretical approach to radiative transfer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 243(3), pages 275-303.
    2. Brenner, Howard, 2005. "Kinematics of volume transport," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(1), pages 11-59.
    3. Jou, D. & Casas-Vázquez, J. & Criado-Sancho, M., 1999. "Information theory and thermodynamics of polymer solutions under flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 262(1), pages 69-75.
    4. Bove, A & DeMartino, S & Lauro, G, 2000. "Trend to equilibrium in the dynamics of a gas interacting with a radiation field," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 54(1), pages 113-129.
    5. Márkus, Ferenc & Gambár, Katalin & Vázquez, Federico & del Rı́o, J.Antonio, 1999. "Classical field theory and stochastic properties of hyperbolic equations of dissipative processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 268(3), pages 482-498.
    6. Badescu, Viorel, 2022. "Statistical thermodynamics approach for the available work transported by particle fluxes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).

    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:wsi:ijmpcx:v:24:y:2013:i:05:n:s0129183113500290. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.