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  3. (principle) Reynolds (shear) stress (tensor)

(principle) Reynolds (shear) stress (tensor)

Scheduled Pinned Locked Moved Algorithm
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  • P Offline
    P Offline
    peiying
    wrote on last edited by
    #1

    基础不好的小白被这几个 stress 搞得有点stress.
    Reynolds stress, Reynolds shear stress, and stress tensor.

    原来好像知道什么是Reynolds stress, papers 里前面加个principle,中间加shear, 末尾再加tensor,就发现自己概念不清了. 符号各个paper里还不一样, 也得慢慢对照.

    还望大牛给点指点. 我继续掰书去了...

    看公式脑壳不呢么疼了,入门了?

    G 1 Reply Last reply
  • P Offline
    P Offline
    peiying
    wrote on last edited by
    #2

    Turbulent stress 就是 Reynolds stress (Cengel, Fluid Mechanics, 第八章第五节, Turbulent flow in pipes)

    Stress Tensor 就是为了突出下是九个方向。(Credit to Yeru)

    Reynolds shear stress 有时候等同于 Reynolds stress,有时候特指 $\overline{u^{\prime} v^{\prime}}$。

    “$\rho \overline{u^{\prime} v^{\prime}}$ is Reynolds shear stress and $\rho \overline{u^{\prime} u^{\prime}}$ and $\rho \overline{v^{\prime} v^{\prime}}$ are Reynolds normal stresses,” (Choon-Sik Jhun, 2018;Reynolds Stresses,An Internet Book on Fluid Dynamics,http://brennen.caltech.edu/fluidbook/basicfluiddynamics/turbulence/reynoldsstresses.pdf
    )
    $\rho \overline{u^{\prime} v^{\prime}}=\frac{1}{N} \sum_{1}^{N} \rho(u-\bar{u})(v-\bar{v})$
    $\rho \overline{u^{\prime} u^{\prime}}=\frac{1}{N} \sum_{1}^{N} \rho(u-\bar{u})^{2}$
    $\rho \overline{v^{\prime} v^{\prime}}=\frac{1}{N} \sum_{1}^{N} \rho(v-\bar{v})^{2}$

    Principle RSS
    $R S S_{p }=\sqrt{\left(\frac{\rho \overline{u^{\prime} u^{\prime}}-\rho \overline{v^{\prime} v^{\prime}}}{2}\right)^{2}-\left(\rho \overline{u^{\prime} v^{\prime}}\right)^{2}}$
    我暂时用不着,不去想了... (Choon-Sik Jhun, 2018, Determination of Reynolds Shear Stress Level for Hemolysis)

    几乎全是摘得,要是理解有误还望指正,感谢。

    看公式脑壳不呢么疼了,入门了?

    李东岳李 1 Reply Last reply
  • G Offline
    G Offline
    gemini
    replied to peiying on last edited by
    #3

    @peiying :146:

    1 Reply Last reply
  • 李东岳李 Offline
    李东岳李 Offline
    李东岳 管理员
    replied to peiying on last edited by
    #4

    $\tau$这个雷诺应力,对角线的是normal stress,非对角线的是shear stress。不过你说的更详细,感谢分享!

    9月CFD算法编程课: http://dyfluid.com/class.html

    需要帮助debug算例的看这个 https://cfd-china.com/topic/8018

    1 Reply Last reply

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