Acta Physica Sinica, Volume. 69, Issue 10, 100501-1(2020)

Investigation of NO content varaitaion in the lymphatic vessels under different outlet pressures by a lattice Boltzmann method

Yi-Nan He1, Qian-Yi Zhang1, Hua-Jian Wei1, and Juan Shi2、*
Author Affiliations
  • 1School of Material Science and Engineering, Guilin University of Electronic Technology, Guilin 541004, China
  • 2School of Information and Communication, Guilin University of Electronic Technology, Guilin 541004, China
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    Figures & Tables(10)
    Microscopic velocity of D2 Q9 lattice Boltzmann model.
    Bounceback.
    Lymphatic section.
    The lymphatic valves at rest.
    t = 3.003 s, NO concentration distribution map.
    Relationship between NO average concentration and pressure difference.
    • Table 1.

      Chemical parameters of Ca2+ and NO.

      Ca2+与NO的化学参数

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      Table 1.

      Chemical parameters of Ca2+ and NO.

      Ca2+与NO的化学参数

      参数单位数值
      NO${D_{{\rm{NO}}}}$cm2/s 1.2 × 10–4
      $K_{{\rm{NO}}}^ - $s–13.7594
      $K_{{\rm{NO}}}^ + $无量纲400
      Ca2+${D_{{\rm{Ca}}}}$cm2/s 6.5 × 10–6
      $K_{{\rm{Ca}}}^{-}$s–137.6
      $K_{{\rm{Ca}}}^{+}$s–11.2
      $K_\delta ^ + $s–115038
      ${C_{{\rm{th}}}}$无量纲0.015
      ${R_{{\rm{Ca}}}}$cm0.005
      ${K_{{\rm{Ca}}, {\rm{NO}}}}$无量纲5.3
      h无量纲0.03
    • Table 2.

      Parameters of Lymphatic and valve.

      淋巴管与瓣膜参数

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      Table 2.

      Parameters of Lymphatic and valve.

      淋巴管与瓣膜参数

      参数单位数值
      淋巴管${k_{\rm{M}}}$${\rm{dynes}}$7.6 × 10–5
      ${k_{\rm{E}}}$${\rm{dynes}}/{{\rm{cm}}^{\rm{2}}}$4.52
      ${k_{\rm{B}}}$${\rm{dynes}} /{{\rm{cm}}^2}$9045
      ${k_{\rm{r}}}$dynes·s/cm4.8 × 10–9
      ${k_{{\rm{NO}}}}$无量纲1
      ${R_{\rm{l}}}$cm0.003
      ${R_{\rm{0}}}$cm0.005
      瓣膜$k_{\rm{B}}^\nu $dynes /cm20—0.2
      $k_{\rm{E}}^\nu $dynes /cm29.0 × 10–4
      $k_{\rm{r}}^\nu $dynes /cm20.0091
      Acm–11500
      $\varDelta $cm2 × 10–4
    • Table 3.

      Positive pressure when outlet pressure is higher than inlet pressure.

      出口压强高于入口压强时正压力差

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      Table 3.

      Positive pressure when outlet pressure is higher than inlet pressure.

      出口压强高于入口压强时正压力差

      正压力差
      ${{\rho _{{\rm{out}}}}} /$g·cm–31.00201.00151.00101.00081.00061.00041.0002
      ${\Delta \rho }/$g·cm–30.00200.00150.00100.00080.00060.00040.0002
      ${\Delta P} /$g·cm–1·s–260.345.22530.1524.1218.0912.066.03
    • Table 4.

      Negative pressure when outlet pressure is lower than inlet pressure.

      出口压强低于入口压强时负压力差

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      Table 4.

      Negative pressure when outlet pressure is lower than inlet pressure.

      出口压强低于入口压强时负压力差

      负压力差
      ${\rho _{{\rm{out}}}}/$g·cm–31.00000.999980.999960.99980.9996
      $\Delta \rho /$g·cm–30–0.00002–0.00004–0.0002–0.0004
      $\Delta P/$g·cm–1·s–20–0.603–1.206–6.03–12.06
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    Yi-Nan He, Qian-Yi Zhang, Hua-Jian Wei, Juan Shi. Investigation of NO content varaitaion in the lymphatic vessels under different outlet pressures by a lattice Boltzmann method[J]. Acta Physica Sinica, 2020, 69(10): 100501-1

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    Paper Information

    Category:

    Received: Dec. 22, 2019

    Accepted: --

    Published Online: Nov. 30, 2020

    The Author Email:

    DOI:10.7498/aps.69.20191944

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