Does anybobody have (or a link to)
Does anybobody have (or a link to)
(OP)
Does anybobody have (or a link to) the transient solution to the heatup of a hot water tank?
For simplicity, assume the system adiabatic with the tank water stagnant and it's initial temperature T1.
The heat exchanger area is A and the overall conductance is U. The heat source is hot water coming from the boiler at a constant temperature T0.
I need the time history of the tank water temperature,T
I found this equation:
UA/wc=ln[1-Mc/wct*ln{(T0-T1)/(T0-T)}]
But I need proof.
Anybody??
Thank you for your help.
M weight of water in tank
c specific heat
w flow rate
T1 initial tank water temperature
T0 incoming boiler temperature(constant)
t time
For simplicity, assume the system adiabatic with the tank water stagnant and it's initial temperature T1.
The heat exchanger area is A and the overall conductance is U. The heat source is hot water coming from the boiler at a constant temperature T0.
I need the time history of the tank water temperature,T
I found this equation:
UA/wc=ln[1-Mc/wct*ln{(T0-T1)/(T0-T)}]
But I need proof.
Anybody??
Thank you for your help.
M weight of water in tank
c specific heat
w flow rate
T1 initial tank water temperature
T0 incoming boiler temperature(constant)
t time





RE: Does anybobody have (or a link to)
Provide the tank diameter, height (assuming a vertical type cylindrical tank), wall thickness, insulation type, insulation thickness, type of outside surface, ambient air temp. and heat input please.
RE: Does anybobody have (or a link to)
Good luck,
Latexman
RE: Does anybobody have (or a link to)
RE: Does anybobody have (or a link to)
RE: Does anybobody have (or a link to)
prex
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RE: Does anybobody have (or a link to)
Good luck,
Latexman
RE: Does anybobody have (or a link to)
Thanks for the references, but cannot get either.
So I guess I'll derive it myself when I get time.
RE: Does anybobody have (or a link to)
Good luck,
Latexman
RE: Does anybobody have (or a link to)
I was easier to derive it.