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Gas Flow Through Pipes and Throttling

基本理論 圧縮空気Wiki 熱力学 物理学

One very interesting branch of physics is thermodynamics, especially for getting insight in air compressors. In this article we are talking about gas flow and throttling, following up on our introduction to thermodynamics.

The Reynolds number

formula reynolds number, calculation
The Reynolds number is a dimensionless ratio between inertia and friction in a flowing medium. It is defined as:

What are the different types of flow in a pipe?

gas flowing through pipe
In principal, there are two types of flow in a pipe. With Re <2000 the viscous forces dominate in the medium and the flow becomes laminar. This means that different layers of the medium move in relation to each other in the proper order. The velocity distribution across the laminar layers is usually parabolic shaped. With Re≥4000 the inertia forces dominate the behavior of the flowing medium and the flow becomes turbulent, with particles moving randomly across the flow. The velocity distribution across a layer with turbulent flow becomes diffuse. In the critical area, between Re≤2000 and Re≥4000, the flow conditions are undetermined, either laminar, turbulent or a mixture of the both. The conditions are governed by factors such as the surface smoothness of the pipe or the presence of other disturbances. To start a flow in a pipe requires a specific pressure difference to overcome the friction in the pipe and the couplings. The amount of pressure difference depends on the diameter of the pipe, its length and form as well as the surface smoothness and Reynolds number.

What is the Joule Thomson effect?

気体がリストリクタを通じて流れ、リストリクタの前後で圧力が一定の場合、温度は一定のままです。ただし、内部エネルギーが運動エネルギーに遷移することにより、リストリクタ中において圧損が生じます。これが温度が低下する理由となります。実際の気体の場合、気体に含まれるエネルギーは一定のままであっても、この温度変化は永続的となります。これをジュールトムソン効果と呼びます。この温度変化は、スロットル調整における圧力変化にジュールトムソン係数を掛けたものと等しくなります。

流れている媒質の温度が十分に低い場合(空気の場合は+329℃以下)、リストリクタにおけるスロットル調整によって温度低下が生じますが、フロー媒体の温度が高い場合は逆に温度が上昇します。この条件は、例えば冷蔵技術や気体の分離など様々な技術用途に利用されています。

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