EVAT 554 OCEAN-ATMOSPHERE DYNAMICS

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EVAT 554OCEAN-ATMOSPHERE DYNAMICS
LECTURE 4

• EQUATIONS OF MOTION (CONT) ENERGY EQUATION

(Reference Peixoto Oort, Chapter 3)
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Zonal Momentum Balance
Meridional Momentum Balance
Vertical Momentum Balance
Continuity
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SIMPLIFYING APPROXIMATIONS
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Zonal Momentum Balance
Meridional Momentum Balance
Vertical Momentum Balance
Continuity
But this is not a closed set of equations!
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CONSERVATION OF ENERGY
First Law of Thermodynamics Energy is neither
destroyed nor created, but changes form during
ordinary physical and chemical processes
Heating Change in Internal Energy Work Done
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CONSERVATION OF ENERGY
First Law of Thermodynamics Energy is neither
destroyed nor created, but changes form during
ordinary physical and chemical processes
Heating Change in Internal Energy Work Done
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CONSERVATION OF ENERGY
First Law of Thermodynamics Energy is neither
destroyed nor created, but changes form during
ordinary physical and chemical processes
Heating Change in Internal Energy Work Done
Includes radiative heating, latent heating,
frictional heating, conduction and turbulent heat
flux (diabatic heating)
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CONSERVATION OF ENERGY
Example How much energy is needed to warm 2 kg
of dry air by 5oC?
mair 2 kg, DT 5oC
Cp 1005 J kg-1 K-1 (dry air)
DQH mair Cp DT (2kg)(1005 J kg-1 K-1 )(5oC)
10.05 kJ
Heating Change in Internal Energy Work Done
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CONSERVATION OF ENERGY
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CONSERVATION OF ENERGY
Combine molecular and eddy diffusive heat
transport
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CONSERVATION OF ENERGY
Combine molecular and eddy diffusive heat
transport
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CONSERVATION OF ENERGY
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CONSERVATION OF ENERGY
Boundary Terms
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CONSERVATION OF ENERGY
Incident Solar
Planck Blackbody
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We still do not have a closed system of
equations!
equation of state...
Let us first consider the atmosphere