Thermal Distribution Modeling
Thermal Distribution Modeling
(OP)
I am looking to see if you can present a dynamic model with respect of time of the heat distribution from a heated pipe in water. I am trying to model the time it would take to heat a tank of water by means of a copper pipe transporting hot fluid. Can I do this with Matlab? or does anyone else have a good program, student version, or free for this not going to be for school just personal research





RE: Thermal Distribution Modeling
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RE: Thermal Distribution Modeling
1) Rho*a*v*c (Ti-T0) = hpL*[Tw-(Ti+T0)/2]
20 Mc*d(Tw/dt)=Rho*a*v*c (Ti-T0)
dTw/dt)= rate of increase of tank water temperature
rho density
a crossection of pipe
L length of pipe
v velocity of water
c specific heat
h film coefficient tank water to pipe
Ti hot water in
T0 hot water out
Tw water in tank
M weight of tank water
Explanation
2 equations 2 unknowns
Tw, T0 are the 2 unknowns
equation 1 equates the heat transferred from the pipe to the tank water
equation 2 states that the heat transferred is equal to the rate that energy is absorbed in the water .
If you need more help in solving this set I could help.
RE: Thermal Distribution Modeling
I think that zekeman is neglecting the thermal conductivity of the pipe and the HTC between the internal fluid and the pipe, which may be a reasonable assumption. If you want to do something fancier, I think that an iterative solution is necessary.
RE: Thermal Distribution Modeling
Yiou will find that the conductivity thru the pipe and the internal film coefficient are an order of magnitude greater than the external coefficient, so the external film dominates.
RE: Thermal Distribution Modeling
I agree... unless the fluid is creeping through the pipe at a very low flow rate or the pipe is very thick. It's probably a good assumption.
RE: Thermal Distribution Modeling
RE: Thermal Distribution Modeling
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RE: Thermal Distribution Modeling