Wednesday 25 March 2020

newtonian mechanics - How to model a rising helium balloon?


I'm trying to model the ascent of a helium filled weather balloon from 0km to 25km altitude. The plan is to eventually use a python script to calculate the time taken to reach 25km. However, I don't really know where to start.


I have worked out an expression for acceleration in terms of the balloons volume and the density of surrounding air. I now need to find an way of calculating the volume at a given altitude such that I can model the acceleration throughout the ascent.


So if anyone could help me with this I would greatly appreciate it.




Answer



Both temperature and pressure variation with altitude are given here You can use the ideal gas law to get the volume with altitude from these.


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