The total quantity of heat per square foot of surface received by the
equator from sunrise till sunset at the time of the equinoxes, allowing
22 per cent. for the amount cut off in passing through the atmosphere,
is 1,780,474 foot-pounds. In the latitude of Edinburgh about 938,460
foot-pounds per square foot of surface is received, assuming that not
more than 22 per cent. is cut off by the atmosphere. At this rate a
quantity of heat would be received from the sun in two days ten hours
(say, three days) sufficient to raise the temperature of the water 1°
C. to the required depth of 31 feet 3 inches. Consequently the total
quantity of heat stored up during summer in the latitude of Edinburgh
is only equal to what we receive from the sun during three days at the
time of the equinoxes. Three days’ sunshine during the middle of March
or September, if applied to raise the temperature of the ground, would
restore all the heat lost during the entire winter; and another three
days’ sunshine would confer on the ground as much heat as is stored
up during the entire summer. But it must be observed that the total
duration of sunshine in winter is to that of summer in the latitude of
Edinburgh only about as 4 to 7. Here is a difference of two months.
But this is not all; the quantity of heat received during winter is
scarcely one-third of that received during summer; yet, notwithstanding
this enormous difference between summer and winter, the ground during
winter loses only about six days’ sun-heat below the maximum amount
possessed by it in summer.
But if what has already been stated is correct, this loss of heat
sustained by the earth during winter is not chiefly owing to radiation
during the longer absence of the sun, but to the decrease in the
quantity of heat received in consequence of his longer absence combined
with the obliquity of his rays during that season. Now in the case
of the two hemispheres, although the southern winter is longer than
the northern, yet the quantity of heat received by each is the same.
But supposing it held true, which it does not, that the loss of
heat sustained by the earth in winter is as much owing to radiation
resulting from the excess in the length of the winter nights over those
of the summer as to the deficiency of heat received in winter from that
received in summer, three days’ heat would then in this case be the
amount lost by radiation in consequence of this excess in the length of
the winter nights. The total length of the winter nights to those of
the summer is, as we have seen, about as 7 to 4. This is a difference
of nearly 1200 hours. But the excess of the south polar winter over the
north amounts to only about 184 hours. Now if 1200 hours give a loss of
three days’ sun-heat, 184 hours will give a loss of scarcely 5½ hours.
Public-domain text, read in full here on John Shaqi.
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