Fundamental Eqs for modeling clouds

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Presentation transcript:

Fundamental Eqs for modeling clouds Chp 2 Fundamental Eqs for modeling clouds

Equation of State

In terms of mixing ratio

Virtual Temperature

Basic Tutorial on Cartesian Tensor Notation

Non-dimensional pressure

Conservation of Mass

Water vapor continuity eq

Continuity eq for liquid water

Conservation for Momentum

Velocity eq for air

Thermodynamics for cloudy air

Component internal energies

Energy eq in terms of T

Simplified thermo eq

Pressure tendency eq

Thermo eq in terms of theta

Incompressible eqs

Equivalent Potential Temperature

Liquid water potential temperature

Ice liquid water static energy

Common form of w eq

Lapse Rates and Stability Parameters

Maximum possible w

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