Hi,
As a starter along the lines of trying to look at the calcs involved in a life support system that heats the air onboard a ship up to a very high speed and then cools it, as a means of trying to control the spread of viruses and bacteria, here is some preliminary info.
Above is a notional simplified sketch of a ship showing a notional schematic for the life support air handling. Basically, as shown in the figure, the life support air handling system would have to output fresh 'supply' air at a given rate while taking in 'return' air at a similar rate, in order to provide a given number of air changes per hour.
For a 100 dton ship with 40 dtons of fuel, the habitable space onboard would notionally be 60 dtons. To this though you should probably take into account that a lot of the stuff onboard a ship may 'consume' some of that space so that the 'net volume' needed to be refreshed will be less.
Looking at this site (
http://www.dft.gov.uk/mca/mcga07-ho...b_load_line/mcga-gr_gos_loadline-chapter5.htm ) on modern ships as guidance it appears that the 'permeability' of spaces onboard such ships may be on the order of 85 to 95% (meaning that the open space in a compartment would be on the order of 85 to 95% of the gross volume of the space (based on its dimensions)).
Assuming 85% permeability this would give 60 dton x 14 cubic meters/dton x 0.85 = about 714 cubic meters of air to be refreshed. If we then assume 20 to 30 air refreshes per hour this would mean that you would effectively be refreshing/replacing this 714 cubic meters of air onboard every 2 to 3 minutes.
If we first initially assume dry air as a 1st estimate (we can investigate normal air later if needed) at 75 deg F (~24 deg C or 297 K) the density of dry air is about 1.188 kg/cubic meter. As such the mass of air for our 100 dton ship is about 848 kg.
For a 20 to 30 air change/hour refresh rate the life support system will have to recirculate 848kg of air every 2 to 3 minutes which equals 283 to 424 cubic meters per minute.
Due to the physical properties of air, when room temperature air is subjected to a high temperature it will either expand (about 6.77 times if going from 75 deg F (297 K) to 2000 K) or the pressure will have to go up. And it will take time to go from room temperature to whatever higher temperature that you air trying to heat the air to.
With regards to what higher temperatures might be suitable for heating the air to, above 2000 K (1727 deg C or 3140 deg F) chemical processes will occur which will change the make up of the air, as such a temperature blow this would likely be desirable.
With regards to the lower end temperature that can be used to cool the air, this is likely to be either Absolute Zero (0 K, -273 deg C or -459.67 deg F).
Once at a high temperature, it will then need to be cooled back to room temperature which will result in the air contracting back to its pervious volume or pressure, and will take time to cool to this lower temperature.
By multiplying the amount of time required to both heat and cool the air from room temperature to a high temperature and then back to room temperature by the mass flow rate required for the system you can figure out the amount of air in the heating and cooling portion of the system.
If the amount of time required is greater than the 2 to 3 minute refresh cycle time for the system then there will be more air in the heating and cooling portion of the life support system than in the entire ship.
Specifically,
283 kg/min x more than 3 min > 848 cubic meters
424 kg/min x more than 2 min > 848 cubic meters
If the amount of time required is less than the 2 to 3 minute refresh cycle time for the system then the amount of air in the heating and cooling portion of the life support system will be some fraction of the total air onboard the ship.
For example, if total time is 30 seconds the fraction of the air in the system would be 17 to 25 % of the total air onboard ship, etc.