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On Friday, April 4, 2014 8:56:19 AM UTC-4, George Herold wrote:
That's very boring, like you're going to construct a homemade heater anywhere near as efficient as off-the-shelf models... but this is interesting, almost doubles the effective heat capacity of the tank, useful for people in situations of sporadic high demand:
http://www.cashacme.com/prod_thermostatics_WHTC_kit.php
On Thursday, April 3, 2014 11:57:57 PM UTC-4, Sylvia Else wrote:
On 4/04/2014 12:48 PM, Jim Thompson wrote:
On Thu, 03 Apr 2014 18:40:39 +1100, Sylvia Else
...Jim Thompson
Thanks.
After looking at some stuff relating to solving simultaneous 1st order
differential equations, I learnt that two first order simultaneous
equations in two variables can be written as a single second order
differential equation in one variable, which I do know how to solve.
So I went back, and saw how that could be achieved
The result is a rather involved function of the six variables (C1, C2,
R1, R2, V1 and V2).
This is not actually an electronic circuit, but a representation of the
thermal behaviour of a water heater. Consequently I don't know the
values of V1, C1 or R1. I was hoping to infer them from the equation and
the measured behaviour. I'd end up with three simultaneous equations to
solve, which, given their complexity, would probably have to be done
numerically.
Ahh I've done that. Usually you can stare at it and find one RC that dominates the behavior. You'll want to model the heater as a current source.
Temperature corresponds to voltage and Energy is like charge. So a one watt heater is like a 1 amp current source.
The heat capacity of the water should be pretty easy to get. What else is unknown? (One issue you may have in modelling is if there are convective heat currents in the water.) So what are your R's and C's?
George H.
Maybe I still will, out of interest, but it'll be a lot simpler to
interpolate from those measurements that I do have, and probably more
than adequate.
Sylvia.
That's very boring, like you're going to construct a homemade heater anywhere near as efficient as off-the-shelf models... but this is interesting, almost doubles the effective heat capacity of the tank, useful for people in situations of sporadic high demand:
http://www.cashacme.com/prod_thermostatics_WHTC_kit.php