Spatial transition point from laminar flow to turbulence in a pipe with injection revealed by solving a weakly-stochastic navier-stokes equation

Koki Naruse, Ken Naitoh

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    In order to simulate the spatial transition point from laminar flow to turbulence in a closed pipe, we proposed the numerical method called “stochastic determinism” that based on the stochastic Navier-Stokes equation. The important point is that the stochasticity level is decided by inlet disturbance intensity. The finite difference method based on the multi-level formulation is also included which can calculate spatial derivatives of physical quantities and integrated quantities accurately. In this report, we compute the transition phenomenon for incompressible flow with injection on the pipe wall. The computations fairly agree with Hof’s experimental results.

    Original languageEnglish
    Title of host publicationAIAA Aerospace Sciences Meeting
    PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
    Edition210059
    ISBN (Print)9781624105241
    DOIs
    Publication statusPublished - 2018 Jan 1
    EventAIAA Aerospace Sciences Meeting, 2018 - Kissimmee, United States
    Duration: 2018 Jan 82018 Jan 12

    Other

    OtherAIAA Aerospace Sciences Meeting, 2018
    CountryUnited States
    CityKissimmee
    Period18/1/818/1/12

    Fingerprint

    Laminar flow
    Navier Stokes equations
    Turbulence
    Pipe
    Incompressible flow
    Finite difference method
    Numerical methods
    Derivatives

    ASJC Scopus subject areas

    • Aerospace Engineering

    Cite this

    Naruse, K., & Naitoh, K. (2018). Spatial transition point from laminar flow to turbulence in a pipe with injection revealed by solving a weakly-stochastic navier-stokes equation. In AIAA Aerospace Sciences Meeting (210059 ed.). American Institute of Aeronautics and Astronautics Inc, AIAA. https://doi.org/10.2514/6.2018-0589

    Spatial transition point from laminar flow to turbulence in a pipe with injection revealed by solving a weakly-stochastic navier-stokes equation. / Naruse, Koki; Naitoh, Ken.

    AIAA Aerospace Sciences Meeting. 210059. ed. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Naruse, K & Naitoh, K 2018, Spatial transition point from laminar flow to turbulence in a pipe with injection revealed by solving a weakly-stochastic navier-stokes equation. in AIAA Aerospace Sciences Meeting. 210059 edn, American Institute of Aeronautics and Astronautics Inc, AIAA, AIAA Aerospace Sciences Meeting, 2018, Kissimmee, United States, 18/1/8. https://doi.org/10.2514/6.2018-0589
    Naruse K, Naitoh K. Spatial transition point from laminar flow to turbulence in a pipe with injection revealed by solving a weakly-stochastic navier-stokes equation. In AIAA Aerospace Sciences Meeting. 210059 ed. American Institute of Aeronautics and Astronautics Inc, AIAA. 2018 https://doi.org/10.2514/6.2018-0589
    Naruse, Koki ; Naitoh, Ken. / Spatial transition point from laminar flow to turbulence in a pipe with injection revealed by solving a weakly-stochastic navier-stokes equation. AIAA Aerospace Sciences Meeting. 210059. ed. American Institute of Aeronautics and Astronautics Inc, AIAA, 2018.
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