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(a) Non-Dimensional Form of
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GFD
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Second Midterm
Solution to Dimensional Analysis: Rossby and Froude Numbers
Subsections
(a) Non-Dimensional Form of the Equations
Horizontal Momentum (Normalized by
):
Vertical Momentum (Normalized by
):
Stratification Equation (Normalized by
):
Continuity Equation (Normalized by
):
(b) Non-Dimensional Parameters
(c) Leading-Order Balances for
and
Horizontal Momentum (Leading-Order
):
Vertical Momentum (Leading-Order
):
(d) Rossby Number Estimates (
)
(e) Conceptual: Small Rossby Number and Quasi Two-Dimensionality
):
):
):
):
and
)
