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Pitot-Static Error: Compressible vs. Incompressible

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JoshTheEngineer

How do calculated velocities change from pitotstatic measurements when we assume an incompressible versus a compressible flow? In this video, we will look at the differences between the two equations that can be used to calculate velocity from stagnation pressure, static pressure, and density. Then we will go through both a low speed and a high speed case to show how the calculated velocities differ.

===== NOTES =====
► This video only shows how velocities differ when making the assumption of incompressible versus compressible flow.
► I'm assuming the only thing that changes between the two cases is the measured stagnation pressure (and that the measured static pressure and the density remains the same).
► A full discussion of how pitotstatic tubes work is saved for another video.

===== RELATED VIDEOS =====
→ StagnationtoStatic Relations
https://goo.gl/hBY2AV

→ Speed of Sound
https://goo.gl/hbRGfU

→ Sonic State
https://goo.gl/eou3aC

→ Isentropic Relations
https://goo.gl/mkdNHd

===== THUMBNAIL IMAGE =====
By User:Kolossos (Own work) [GFDL (http://www.gnu.org/copyleft/fdl.html), CCBYSA3.0 (http://creativecommons.org/licenses/b...) or CC BYSA 2.52.01.0 (https://creativecommons.org/licenses/...)], via Wikimedia Commons

posted by bestvintage1u