Improved pressure–volume–temperature method for estimation of cryogenic liquid volume

One of the most important issues in a liquid propellant rocket is to measure the amount of remaining liquid propellant under low gravity environment during space mission. This paper presents the results of experiment and analysis of a pressure–volume–temperature (PVT) method which is a gauging method for low gravity environment. The experiment is conducted using 7.4 l tank for liquid nitrogen with various liquid-fill levels. To maximize the accuracy of a PVT method with minimum hardware, the technique of a helium injection with low mass flow rate is applied to maintain stable temperature profile in the ullage volume. The PVT analysis considering both pressurant and cryogen as a binary mixture is suggested. At high liquid-fill levels of 72–80%, the accuracy from the conventional PVT analysis is within 4.6%. At low fill levels of 27–30%, the gauging error is within 3.4% by mixture analysis of a PVT method with specific low mass flow rate of a helium injection. It is concluded that the proper mass flow rate of a helium injection and PVT analyses are crucial to enhance the accuracy of the PVT method with regard to various liquid-fill levels.

► The experiment and analysis of pressure–volume–temperature (PVT) method is conducted.
► The new technique of helium injection with low mass flow rate is applied.
► The new PVT analysis considering both pressurant and cryogen is suggested.
► At high liquid-fill level, the accuracy is within 5% and, at low fill level, the error is within 3.5%.
► The proper helium injection and analyses are crucial to enhance the accuracy of the PVT gauging.