Spiny Norman said:
I was wondering, in an idle moment, about what the ambient temperature in a city such as New York (thinking Manhattan Island) would be if they didn’t use any air conditioning.
I reckon it’d be noticeably cooler outside, as the air conditioning systems change the hot air inside buildings into cool air, and dump that heat outside along with the heat energy used to change the temperature.
How much do they all add to the outside ambient temperature?
Obviously this would be a hard one to model closely, probably depend on geometry etc, but I’ll have a crack at some OOM BOTE calcs.
About 6% of electrical power in the USA goes on AC.
source https://energy.gov/energysaver/air-conditioning
Now, people in NY are not using their AC in winter, so I’m going to make a rough estimate that in summer that average is twice as high, 12%.
This is a fucking amazing map by Vijay Modi showing the areal density of energy consumption!
http://www.huffingtonpost.com/2012/02/02/new-york-city-energy-interactive-map_n_1249856.html
In the heart of Manhattan there are large areas with annual power consumption of 8000 kWh per square metre!
Sorry for the exclamation points!!!
Now, obviously power consumption will vary throughout the year, with heating in winter and AC in summer, but let’s say that the summer power consumption is about average, which means on a summer’s day, 21 kWh per square metre per day of power is consumed in mid-town Manhattan, of which maybe 2.5 kWh is air conditioning. I will estimate the average coefficient of performance of the airconditioning to be 3, so the amount of heat pumped will be 7.5 kWh per day per square metre.
This is significantly higher than the amount of solar energy received by New York on a typical summer’s day, which will be more like 4.8 kWh per day per square metre.
However, note that if the temperature inside is stable, heat is seaping back into the building (through the walls and windows) at the same rate as it is being pumped out. This may seem a paradox but it must be true.
Nonetheless, all of the energy being consumed by the airconditioners (2.5 kWh per square metre per day) ultimately winds up as heat.
(Come to think of it … ALL of the electricity consumed by mid-town Manhattan (21 kWh per square metre per day) will end up as heat. Everything ends up as heat.)
Bottom line, though: the amount of heat caused by air conditioning is about half of the amount of energy being received by the sun in summer in mid-town Manhattan. How much this contributes to the temperature would depend on how fast that extra heat can escape due to hot air rising etc.