Design Steam Turbine for Solar Energy: Math Help Needed

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 replies · 3K views
pixelpuffin
Messages
44
Reaction score
1
im designing a steam turbine and boiler for a solar energy project but i can't figure out the math and have had trouble looking it up
the only thing that is definite about the turbine (other than that its a tesla turbine) is that the thermal wattage is 5,855 watts or 1,434.72 calories per second (because its solar its actually a range but i plan to optimize the system for the average and later install a thermal buffer)
i need to determine
inlet and outlet area
inlet and outlet steam velocity
inlet and outlet steam pressure
inlet and outlet steam temperature

my goal is to get ~ 60% efficiency at average operating conditions and >20% efficiency at the high and low ends of its operation
it would be nice if it operated at 60 hertz or 3,600 rpm though that's not important

using the ideal gas law i get P*1/T*2.16*1/1,000=p so i can calculate the density with pressure and temperature

from there I am pretty much lost, mainly because i can't find any way to calculate the ratio between thermal drop off and pressure drop off

does anybody know how to at least estimate this
i have some coding knowledge so if there's a differential equation i have no trouble solving it
 
on Phys.org