liquid N2 at -192.3℃ flow flow measurement

USA's NIST paper on Cryogenic fluid measurements provide limitations of various technologies:
https://trc.nist.gov/cryogenics/Papers/Review/2015-Cryogenic_Measurements.pdf

Google is your friend when seeking liquid cyrogenic flow meters.

This site claims multiple technologies for liquid cryogenic flow measurement:
https://apureinstrument.com/blogs/what-is-a-cryogenic-flow-meter/
magnetic, vortex, transit time ultrasonic clamp-on, turbine, thermal dispersion (calorimetric), DP (various primary flow elements)
I'm not familiar with the company, but it points that almost major and many minor companies have flow technologies that operate for cryogenic liquids.

transit time (not doppler) ultrasonic clamp-on:
https://dam.bakerhughes.com/m/2225b7cbc1d7fc1a/original/sentinel_lng_920-425e_CS-pdf.pdf
https://www.emerson.com/en-us/catalog/flexim-sku-fluxus-flow-meter-for-lng-and-cryogenic-fluids

turbine meters:
https://hofferflow.com/cryogenic-flow-meters/

hybrid:
https://www.vortekinst.com/services/cryogenic-liquids-flow-measurement

Coriolis:
https://www.silverinstruments.com/support/cryogenic-flow-meter.html

Interesting note on temperature compensation effects on uncertainty of Coriolis measurements by USA's NIST
https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=929881

Happy shopping.
 
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