I would like to come up with a simplified mathematical model of the internal heater and the outer cylinder. I assume that since the pressure is that low 1-3 mbars heat transfer and convection can be neglected. Therefore we have only radiation between heater and outer wall. Please correct me if i am wrong. If you have reliable info i can then crosscheck what i have available. Thx
I'm a bit sorry to complicate this seemingly endless argument, but some assumptions made in this discussion need questioning:
The thermal conductivity of Deuterium is the highest of any conventional gas, and is nearly 6 times that of air. Further, the conductivity does not decline much with pressure (until below a critical point ~10 Pa) and increases significantly with temperature. At the ~100-300 Pa pressure recommended by Mizuno, it is 0.21 W/m-K at 20°C and 0.30 W/m-K at 300°C.
In contrast to this, the convective heat transfer in the cell is determined by the specific heat and thermal viscosity of the gas. These are rather low for Hydrogen and Deuterium due to the low mass of the gas molecules. It may be that both convection and conduction are of trivial magnitude compared to the radiant energy, but we won't know until/unless someone looks at the numbers. Having now raised the issue, my part in this is done....
Here are a couple of references with useful data:
http://www.ethermo.us/Show7Vatemp!573.15!1~press!6!2.htm Excellent on line modeller for gas thermodynamics and transport properties
https://www.engineersedge.com/…al-conductivity-gases.htm