My background is in electronics, not mechanical engineering and fluid dynamics, so please keep that in mind. Also, this is not a homework or academic assignment.
Q: A dewar is partially filled with liquid nitrogen (LN2) and is open to the atmosphere. If a container, open on the top, has a hole in the bottom and is lowered into the liquid, how quickly will the liquid fill the container?
Specifics: The dewar has an inside diameter of 14" and has 8" of LN2 ( volume ~1200 cubic inch). Second container is 4" outside diameter, 3.75" inside diameter, 7" height. A small hole, ~40 mils, is drilled in the bottom of the container. Container will be lowered into the LN2 to a depth of 6". Atmospheric pressure: Sea level.
I need to determine the rate of flow into the secondary container so I know how quickly it will fill to a 6" depth (~66 cubic inch).