Shortwave Radiation downwards= 250W/m2 Shortwave Radiation upwards= 50W/m2 Convective sensible heat flux= 50W/m2 Convenctive latent heat flux= 25 W/m2 Emissivity of air = 0.8 Emissivity if surface= 0.98 for a. i got 214.2 W/m2 help please :( Using data from your fancy weather station from question 3, you get measurements at sundown that indicate a surface temperature, T,, of 10°C and a relative humidity of 70% With the sun now gone, both the atmosphere and the surface cool by long wave emission, youkassume that there is a constant 45 degree difference between the surface temperature and the air temperature throughout an 8-hour period, i.e., AT = T, -7, = 45°K. Your study area is 1 km² and you consider all of the energy that is lost through long wave emission is from the lowest 1 m. Air density is 1 kg/m³ and assume an emissivity of 1. a) What is the net long wave emission, given AT, in W/m2? b) Over the 8-hour period, what is the net energy loss, in Joules, from your study area? c) If all of that energy came out of the lowest 1 m of air over your study period, what would be the resulting temperature of that layer of air? d) Would you expect to see a radiation fog in the morning? Why or why not, and show all arguments and calculations.

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Chapter8: Natural Convection
Section: Chapter Questions
Problem 8.36P
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Shortwave Radiation downwards= 250W/m2
Shortwave Radiation upwards= 50W/m2
Convective sensible heat flux= 50W/m2
Convenctive latent heat flux= 25 W/m2
Emissivity of air = 0.8
Emissivity if surface= 0.98
for a. i got 214.2 W/m2
help please :(
Using data from your fancy weather station from question 3, you get measurements at
sundown that indicate a surface temperature, T, of 10°C and a relative humidity of 70 %.
With the sun now gone, both the atmosphere and the surface cool by long wave emission, so
youkassume that there is a constant 45 degree difference between the surface temperature
and the air temperature throughout an 8-hour period, i.e., AT = T,-T= 45°K. Your
study area is 1 km? and you consider all of the energy that is lost through long wave
emission is from the lowest 1 m. Air density is 1 kg/m and assume an emissivity of 1.
a) What is the net long wave emission, given AT, in W/m?
b) Over the 8-hour period, what is the net energy loss, in Joules, from your study area?
c) If all of that energy came out of the lowest 1 m of air over your study period, what would be
the resulting temperature of that layer of air?
d) Would you expect to see a radiation fog in the morning? Why or why not, and show all
arguments and calculations.
Transcribed Image Text:Shortwave Radiation downwards= 250W/m2 Shortwave Radiation upwards= 50W/m2 Convective sensible heat flux= 50W/m2 Convenctive latent heat flux= 25 W/m2 Emissivity of air = 0.8 Emissivity if surface= 0.98 for a. i got 214.2 W/m2 help please :( Using data from your fancy weather station from question 3, you get measurements at sundown that indicate a surface temperature, T, of 10°C and a relative humidity of 70 %. With the sun now gone, both the atmosphere and the surface cool by long wave emission, so youkassume that there is a constant 45 degree difference between the surface temperature and the air temperature throughout an 8-hour period, i.e., AT = T,-T= 45°K. Your study area is 1 km? and you consider all of the energy that is lost through long wave emission is from the lowest 1 m. Air density is 1 kg/m and assume an emissivity of 1. a) What is the net long wave emission, given AT, in W/m? b) Over the 8-hour period, what is the net energy loss, in Joules, from your study area? c) If all of that energy came out of the lowest 1 m of air over your study period, what would be the resulting temperature of that layer of air? d) Would you expect to see a radiation fog in the morning? Why or why not, and show all arguments and calculations.
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