How can I quantify/qualify liquid helium boil off rates based on dewar/cryostat size?

In summary, it is important to have a dewar that can hold a large quantity of liquid helium without boiling off, while still maintaining low temperatures.
  • #1
swooshfactory
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I've been looking at various papers which describe the mechanisms and provide calculations describing heat flow into helium. I'm trying to minimize helium loss and am in the market for a new dewar flask/cryostat. I plan on asking the supply companies directly what the proper dimensions are to reduce helium loss while still maintaining low temperatures for our needed time period (~10 min), but I would like an idea of the physics behind these dimensions.

Currently, we have a glass dewar flask containing LHe sitting in a glass dewar flask containing LN2. Purchasing a metallic cryostat is an option, but I don't know much about them.

Here is one of the papers I found:
http://jap.aip.org/resource/1/japiau/v22/i12/p1463_s1#tabs_1_113_1274104113_tab3 [Broken] (Evaporation Rate of Liquid Helium. I). It provides good qualitative description, but the dewar flask I was looking at doesn't have a reduced-diameter neck as the one they describe does.

Any input would be valuable!
Thanks!
 
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  • #2


These days most dewars and low-temperature cryostats tend to be all-metal designs. Stainless steel has a rather low thermal conductivity and can be made much thinner than glass without risk of breaking.

There are several sources of heating: Radiation, conduction, and convection, especially if you have a wide-neck cryostat. Estimating these quantitatively is not so easy.

10 min holding time at 4.2K should be trivial to achieve. If you want to go lower, you need to pump. Then there are several options of how to build the cryostat, essentially with a Joule-Thompson stage (continuous operation) )or a secondary, closed bath (single shot operation).
JT-type cryostats you can get as flow-type without a bath. They are fed directly from the storage dewar and can be very efficient.

Other things to think about:
Will your sample be immersed in liquid, or in exchange gas or in vacuum?
Do you want a single temperature, or do you need variable temperature, to be regulated with a heater. What is the base temperature you want?
Do you want a cryostat that relies on (external) liquid He supply or a closed-circuit cryocooler that only needs electricity?
 
  • #3


A good transport dewar that can hold say 60-120 liters will have a boil-off rate of about 1-2 liters/day.

However, in many experiments one needs a fairly wide neck-diameter in order to be able to fit a probe (50mm or even wider), in which case the boil-off rate goes up quite a bit (say 5 liters/day); and the boil-off rate will increase while the probe is inserted (and will of course go up even further if you are runnning a 1K pot).

I wouldn't bother trying to quantify this using formulas etc. , there are so many different factors that come into play that I don't think you can ever get a realistic estimate.
 

1. What is the formula for calculating liquid helium boil off rates?

The formula for calculating liquid helium boil off rate is: boil off rate = (initial volume - final volume) / time.

2. How does the size of the dewar/cryostat affect the boil off rate of liquid helium?

The size of the dewar/cryostat can affect the boil off rate of liquid helium in two ways. Firstly, the larger the dewar/cryostat, the larger the volume of liquid helium it can hold, resulting in a slower boil off rate. Secondly, a larger dewar/cryostat may have thicker insulation, which can also slow down the boil off rate.

3. What factors can affect the accuracy of calculating liquid helium boil off rates?

Some factors that can affect the accuracy of calculating liquid helium boil off rates include: temperature fluctuations, insulating material used, and the presence of any leaks or openings in the dewar/cryostat.

4. Can the type of liquid helium used affect the boil off rate?

Yes, the type of liquid helium used can affect the boil off rate. Liquid helium can be either of two isotopes: helium-3 or helium-4. Helium-3 has a lower boiling point and therefore tends to boil off faster than helium-4. The purity of the liquid helium can also affect the boil off rate.

5. How can I minimize liquid helium boil off rates in my dewar/cryostat?

To minimize liquid helium boil off rates, it is important to have a well-insulated dewar/cryostat and to regularly monitor and maintain the temperature. Other factors that can help reduce boil off rates include minimizing temperature fluctuations and using high-quality, pure liquid helium.

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