Can Bernoulli’s formula also be used for a compressible gas?

Can bernoulli (or perhaps a variant thereof) be used with a compressible (compressible) gas, such as air? As a project group, we have to calculate a compressor system.

Asker: Huibert, 20 years old

Answer

Best,

Bernoulli’s law is actually a special case of a general thermodynamic (heat and energy) law that can be applied to incompressible fluids. So in the case of solids (no fluid), gases (compressible) and liquids subject to a pressure variation that is so wide (for example from 1 bar to 30 bar) that the specific volume changes. Nevertheless, the law is often also applied in a first approximation to liquids subject to large pressure VARIATIONS, in which case the approximate average volume of the liquid is then taken into account.

With regard to gases, Bernoulli’s law is also often used as an approximation, to avoid the complicated thermodynamic formulas, but this is only possible with slight pressure changes, such as with a fan (but not a super fan!).

Kind regards,

Marc Borremans (author of the book “Thermodynamics for Engineers” at Lannoo.

Answered by

ir Marc Borremans

Thermodynamics Pumps and Compressors Heat Techniques

Can Bernoulli’s formula also be used for a compressible gas?

Erasmus University College Brussels
Industrial quay 170 B-1070 Brussels
http://www.erasmushogeschool.be/

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