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ATOC 4720 class38 Thermally driven circulation in the absence of rotation Generation of kinetic energy
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In the previous class: Primitive equations:
( )
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1. Thermally driven circulation without rotation (f=0)
Lab experiment 1: Energetics: available potential energy
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Energetics for large scale atmospheric circulation (f=0)
Available potential energy Kinetic energy; m=1 Fluid motion. Assume no friction, what will happen?
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Oscillate forever because of E
With friction: equilibrium state -- state of rest Random molecular motions Potential energy(PE) Kinetic energy internal energy Analagous to atmosphere: symmetric ITCZ; Question: Why do atmosphere is in quai-steady Motion, rather than a state of rest?
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Experiment 2: A steady-state
Answer: In real atmopshere, available potential energy is constantly replenished by diabatic heating Experiment 2: A steady-state HEAT Sink HEAT Source
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N pole Minimum (net loose: sink) Solar radiation maximum (earth surfacenet gain: source) EQ Minimum (net loose: sink) S pole
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Net+Latent heat EQ Pole Atmosphere: potential temperature rather than temperature Once motion starts: rate of available PE = dissipation Use primitive equations for explanation.
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2. Generation of kinetic energy (f=0)
Pressure surfaces PE -- KE(Kinetic energy) : work done by PGF
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Type (a): thermally direct; Type (b): thermally indirect
Ignore other horizontal forces and f=0 (CF=0): Work done for unit mass unit time Type (a): thermally direct; Type (b): thermally indirect
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Convergence Divergence Z-coordinate: If
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