Calculating rate of temp increase in bulk fluid.
Calculating rate of temp increase in bulk fluid.
(OP)
Hello. I am trying to determine a method to calculate the rate of temperature increase in a storage sphere.
The storage sphere receives a 'hot' feed which is circulated through a chiller. We are considering a spare chiller that has a lower capacity than the existing chiller. So Qin > Qout and there will be some accumulation of Q in the sphere. I would like to know how I can calculate the rate dT/dt of the bulk fluid inside the sphere assuming a constant volume.
The storage sphere receives a 'hot' feed which is circulated through a chiller. We are considering a spare chiller that has a lower capacity than the existing chiller. So Qin > Qout and there will be some accumulation of Q in the sphere. I would like to know how I can calculate the rate dT/dt of the bulk fluid inside the sphere assuming a constant volume.





RE: Calculating rate of temp increase in bulk fluid.
dT
M Cp ---- = F . Cp . (Tin - T )
dt
Energy Balance for the Chiller
Q = U.A.DT = F.Cp.(Tin - T)
where DT is a function (logarithmic) of T.
There is an analitycal solution for the whole problem.
It is really challenging to reach it, but, if you are in a hurry, go to Kern, Heat trasnfer Processes, Chapter 18.
Regards
RE: Calculating rate of temp increase in bulk fluid.
Cheers.