Use the simple model for solar radiation under cloudless skies (p. 64) to estimate the direct, diffuse, and total solar irradiance on a horizontal surface at 45°N at local solar noon on 21 June for three values of aerosol optical thickness, 0.05, 0.20, 0.40. Assume that the optical thickness for

Question

Use the simple model for solar radiation under cloudless skies (p. 64) to estimate the direct, diffuse, and total solar irradiance on a horizontal surface at 45°N at local solar noon on 21 June for three values of aerosol optical thickness, 0.05, 0.20, 0.40. Assume that the optical thickness for molecular attenuation is 0.30.

Accepted Answer

At solar noon [latex] \psi =\phi -\delta =45.0-23.5=21.5 [/latex]. Hence m = sec 21.5 = 1.075. Then [latex] S_{p} = 1366 \exp (-0.30 imes 1.075) (\exp -(1.075 imes au_{a} )) =990\exp (-1.075 imes au_{a} ) [/latex] and [latex] S_{s} = S_{p} \cos \psi [/latex].

Diffuse radiation is calculated as [latex] S_{d} = 0.3 imes 1366 imes \cos 21.5(1-\exp (-( au_{m} + au_{a} ) imes 1.075)) [/latex], and [latex] S_{t} =S_{s} +S_{d} [/latex]. The table shows results of the calculations in W [latex]m^{-2}[/latex] for the three values of [latex]τ_{a}[/latex].

[latex]τ_{a}[/latex]	[latex]S_{p}[/latex]	[latex]S_{s}[/latex]	[latex]S_{d}[/latex]	[latex]S_{t}[/latex]
0.05	941	875	118	993
0.20	802	746	160	906
0.4	644	599	202	801

Question 5.2: Use the simple model for solar radiation under cloudless ski...

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