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Mr. Gregory White, Master's Degree

Category: Math Homework

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Perform the scale analysis of the vector equation of motion

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Perform the scale analysis of the vector equation of motion (NS) for the mesoscale conditions described below: Velocities: u, v, w ~ 10 m/s Horizontal distance L ~ 20 km Vertical distance H ~ 10 km Horizontal pressure change: δp ~ 10 mb Vertical pressure change: δp ~ 800 mb Air density: ρ ~ 1 kg/m3 Advective time scale: t = (L/u) Also: Air kinematic viscosity: ν = 1.46 x 10-5 m2/s Earth’s angular frequency of rotation: Ω = 7.27 x 10-5 s-1 Latitude: Φ = 45° (or π/4 in radians) Earth’s radius: R = 6378 km