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Gas Flow Characteristics When selecting components for use in a gas system, certain factors must be considered which arise only because of the compressibility of the gaseous medium. The nature of gas compressibility is defined by the following rules:
Boyles Law - The pressure and specific volume of a gas are inversely proportional to each other under conditions of constant temperature.Charles' Law - The pressure and temperature of a gas are
directly proportional to each other when the volume is held constant,
and the volume and temperature are directly proportional when the
pressure is held constant.Joule-Thomson effect - Thus, a gas will expand to fill any
container, and pressure and temperature will adjust to values
consistent with the above rules. Gas flowing through valves and
restrictors will be subject to a increasing specific volume as pressure
drops take place, and temperatures will change as determined by the
Joule-Thomson effect.The combination of the above rules forms the basis for the "Equation of State" for perfect gasses. This allows either pressure, temperature, or volume to be calculated for a known quantity of gas when the other two variables are known. i.e. pV = mRT (see values for gas constant, R)In general, the flow comments apply to gas flow: - Gas flow at high pressure ratios (P1/P2<1.9) is directly proportional to the upstream pressure.
- Gas flow at moderate pressure ratios (1.1<P1/P2<1.9) is proportional to the downstream absolute pressure, and to the pressure differential.
- Gas flow at low pressure ratios, (P1/P2<1.1) is proportional to the pressure differential.
- When restrictions appear in series, the most downstream restrictor dominates in the determination of low rate.
- When the absolute pressure ratio across a restrictors is above 1.9, the gas velocity will reach the speed of sound (sonic flow) in the restrictor throat. When restrictors appear in series the overall pressure ratio must be even higher to achieve sonic flow.
- When equal restrictors appear in series, sonic flow can only occur in the most downstream restrictor.
- Velocity of the gas stream cannot exceed the speed of sound on either a constant area duct, or a converging section.
The Rule of Forbidden Signals:"The effect of pressure changes produced by a body moving at a speed faster than the speed of sound cannot reach points ahead of the body." (von Kármán, Jour. Aero. Sci., Vol. 14, No. 7 (1947)) This rule can be applied to pneumatic flow restrictors where the body is not moving, but flow velocity relative to the body can reach, or exceed, the speed of sound. Whenever the downstream pressure is low enough to produce Mach 1 at the restrictor throat, any effect of changes in the downstream pressure cannot reach points upstream of the throat. Thus, flow rate will be independent of downstream pressure. This situation applies to a single orifice restrictor flowing air when the overall pressure ration exceeds 1.89/1Gas Properties
*values at 68°F and 14.7 psia |

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. All Rights Reserved. The Lee Company. General Information and Proprietary Rights.