The forecast equation for mean wind in a turbulent flow is U

The forecast equation for mean wind in a turbulent flow is: U_i/t + U_j U_i/x_j = delta_i3 g + f_c epsilon_ij3 U_j - 1/p P/x_i + v ^2 U_i/x^2_j u\'_i u\'_j/x_j Name each term, and give its physical interpretation.

Solution

solution

A is storage of mean momentum

B is advection of mean momentum by the mean wind

C is gravity to act in the vertical direction only

D is the Coriolis effect due to the earth’s rotation

E is the mean pressure gradient forces

F is the effect of viscous stress on the mean motions

G is the effect of Reynolds stress on the mean motions (also called the divergence of turbulent momentum flux)

 The forecast equation for mean wind in a turbulent flow is: U_i/t + U_j U_i/x_j = delta_i3 g + f_c epsilon_ij3 U_j - 1/p P/x_i + v ^2 U_i/x^2_j u\'_i u\'_j/x_j

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