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No, if the pressure difference results in a density change of less than thirty percent (30%) the fluid may be treated as incompressible by assuming the density of the fluid equals the average density and that the density is constant.

Source: Chemical Engineering Fluid Mechanics, Ron Darby, 2nd edition, page 115.

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Q: Must the flow of a compressible fluid be treated as compressible?
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No, for gases if the difference in pressure results in a density change of less than approximately thirty percent (30%), the fluid may be treated as incompressible by assuming the density to be the average density which remains constant. Source: Chemical Engineering Fluid Mechanics, Ron Darby, 2nd edition, page 115.


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