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Rewrite the non-rotating atmosphere

that is characterized by the 3-dimensional momentum equation as partial derivatives.

Figure_2.png

Consider a non-rotating atmosphere that is characterized by the 3-dimensional momentum
equation:
DV
Dt
Vp+ vV2 v- gk
which includes the pressure gradient force, viscous force (with the constant kinematic viscosity
coefficient v) and the gravity force (assume a constant g = 9.81 ms ). The k vector is the unit
vector in the upward vertical direction.
a) Expand this vector expression into its zonal (E-W direction), meridional (N-S direction) and
vertical components (one equation for each component). Use only partial derivatives.

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