Physics of Climate

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Physics of Climate

• In-Class Discussion
• Problem Set 2

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Equations to Solve
Fixed Transport
I0 QoH0(xi) (1) 6D(I2)
QoH2(xi)-I2 (2) I0 I2P2(xi) Ii (3)
Interactive Transport
I0 QoH0(xi) (1) 6D(I2)
QoH2(xi)-I2 (2) I0 I2P2(xi) Ii (3)
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Interactive Transport
I2 QoH2(xi)/(6D1) (4) Thus, we have
substituting (4) and (1) into (3) QoH0(xi)
QoH2(xi)/(6D1) P2(xi) Ii (5) Or, Qo Ii
/ H0(xi) H2(xi)P2(xi)/(6D1) (6)
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Fixed Transport
QoH0(xi) QoH2(xi) - 6D(I2)P2(xi) Ii
(7) Thus, instead of (6), we have Qo Ii
6D(I2)P2(xi) / H0(xi) H2(xi)P2(xi) (8)
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Comparison
Qo Ii 6D(I2)P2(xi) / H0(xi)
H2(xi)P2(xi) (8) Qo Ii / H0(xi)
H2(xi)P2(xi)/(6D1) (6)
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Computation
(I2) - 44.0 W/m2 and D 0.382 (from solution
for current climate) Also, Ii 195.7 W/m2,
using A 211.2 W/m2, B 1.55 W/(m2-C) and
ice-line temperature -10 C. Compute Qo(xi) by
specifying various values for xi, using Table A2.
Then, knowing Qo, use (1) and (2) to compute
I0 and I2, and then T0 (I0 A)/B.
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Plots xi vs. Q
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Plots xi vs. T
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Plot Constant function
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Plot Parabola
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Plot Step function
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In-Class Discussion End