[TriLUG] OT: thermodynamics of A/C question
jonc at nc.rr.com
jonc at nc.rr.com
Thu Aug 16 07:50:20 EDT 2012
Follow up...
Did you look at this any further? Did you in fact do a test run where you cooled the house down at night and then let it heat up during the day? I would be curious to see the data.
In the past I've turned off my AC and run hourly measurements of inside/outside temp to see how rapidly it heats up... I've been pleasantly surprised by how well my house conserved the cooler temp.
One other caveat to your plan - the humidity in your home. If you don't control the humidity well, you may get a visit from molds and fungi... and that could be very costly.
Jon Carnes
---- Joseph Mack NA3T <jmack at wm7d.net> wrote:
> Summer is no fun here with the heat. The cost of A/C cooling
> is more than for heating in the winter. This lead me to
> wonder if there is any way around the cost of A/C?
>
> For the last month or so, with cool nights, I've had windows
> open with fans blowing the cool outside night air in through
> the open windows. Until a couple of days ago, the house was
> in the 60's in the morning and stayed about 10degF below the
> outside temp during the day, which was quite accepable.
>
> Then yesterday, with the night not being cool anymore, I had
> to turn on the A/C. It occured to me that I should run the
> A/C at night, when the air outside was cooler, instead of
> runing it during the day. If I'm trying to remove a certain
> fixed number of BTUs, I expect the A/C works better, from a
> Carnot cycle point of view, if the heat sink is cooler.
>
> Let's say I want the house temp to not go above 82degF
> during the day (and don't care how cold it is at night).
>
> I can either
>
> o set the A/C to 82degF and have it run during the day
> dumping to air at 90degF (say). Then at night the A/C
> doesn't run much (at least in the current weather). In the
> morning, the house is still 82degF.
>
> o set the A/C to 76degF when I go to bed. I wake up to a
> cold house in the morning and set the A/C back to 82. The
> A/C doesn't run during the day (at least for today, with
> 90degF outside).
>
> from
>
> https://en.wikipedia.org/wiki/Carnot_cycle#Efficiency_of_real_heat_engines
>
> Carnot efficiency = 1-Tc/Th
>
> My head hurts trying to think about Carnot cycles at the
> interface between the high pressure exchanger (compressor)
> and the outside air on one hand, and the low pressure
> exchanger (evaporator) and the inside air on the other hand.
> I assume for my scenario, the only change to be considered
> is at the compressor exchanger, which is dumping to outside
> air, ie only the outside air temperature changes much. The
> compressor exchanger is hot (too hot to touch) which puts it
> at 160degF or so (the temperature of hot domestic hot water)
> =60degC=330degK.
>
> Lets assume that the outside day temp is 310degK and the
> outside night temp is 300degK.
>
> The efficiency changes from
>
> 1-310/330=6% to 1-300/330=9%, ie an increase in efficiency
> of 50%.
>
> Now I know that the heat exchangers in an A/C aren't Carnot
> cycle, but I don't know how else to model them.
>
> This article models an A/C as a Carnot cycle machine
>
> https://en.wikipedia.org/wiki/Seasonal_energy_efficiency_ratio
>
> but the equation presented
>
> https://en.wikipedia.org/wiki/Seasonal_energy_efficiency_ratio#Theoretical_maximum
>
> has a singularity at Tc=Th. Clearly an A/C still works if
> the inside and outside temperature is the same.
>
> Got any idea, if I want to remove a fixed number of BTUs,
> whether running the A/C at night is any better than during
> the day, or am I having myself on?
>
> Thanks
> Joe
>
> --
> Joseph Mack NA3T EME(B,D), FM05lw North Carolina
> jmack (at) wm7d (dot) net - azimuthal equidistant map
> generator at http://www.wm7d.net/azproj.shtml
> Homepage http://www.austintek.com/ It's GNU/Linux!
> --
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