微小管における液体の流れ　Ｎａｖｉｅｒ‐Ｓｔｏｋｅｓ方程式の適用性に関する考察

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タイトル別名
  • The Flow of Liquids in Micro-Capillary Tubes. Consideration to Application of the Navier-Stokes Equations.
  • ビショウカン ニ オケル エキタイ ノ ナガレ Navier Stokes ホ
  • Consideration to Application of the Navier-Stokes Equations
  • Navier-Stokes 方程式の適用性に関する考察

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抄録

Designing the micro-fluid machines as micro-pumps and micro-valves requires the clarification of fluid dynamics on the order of 0.1-100 μm. This paper describes the flow of liquids in micro-capillary tubes and a method of measuring it. The method can precisely measure flow rates as small as 10 pl/s to 10 nl/s. The estimated measurement error of the method is less than 6 percent for flow rate, and less than 4 kPa for pressure loss. In 4.5 to 50.5 μm diameter micro-capillary tubes, the flow rate and the pressure loss were measured for silicon oil of 2.6 × 10-6 to 4.3 × 10-4 m2/s kinematic viscosity. The measurement results showed that the flow rate is proportional to the pressure loss for a diameter of 11.2 μm and kinematic viscosity of 4.3 × 10 -4 m2/s. The measured values are in agreement with the theoretical values calculated by the Navier-Stokes equations.

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  • 精密工学会誌

    精密工学会誌 59 (3), 399-404, 1993

    公益社団法人 精密工学会

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