Transcription of Selected Answers to Exercises for Lesson 6 1. Answer
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ESCI 342 Atmospheric Dynamics Selected Answers to Exercises for Lesson 6 1. Perform a scale analysis of the horizontal momentum equations (in component form) for the whirlpool formed as your bathroom sink drains. Which terms are important in this case? Water has a density of 1000 kg/m3 and a kinematic viscosity of = 10 6 m2 s 1. The horizontal pressure difference across the whirlpool is ~ 10 Pa. (Use a reasonable estimate for the horizontal velocity based on your own experiences.) Answer : Name Symbol Order of magnitude Horizontal velocity U m/s Vertical velocity W m/s Horizontal distance L m Vertical distance H m Horizontal pressure change P Pa Density 1000 kg/m3 Time = L /U 10 s Kinematic viscosity 10 6 m2/s Omega 10 5 rad/s Latitude 45 Radius of Earth a 106 m tu yuvxuu + zuw auv tan auw xp 1 2 v sin 2 wcos + 2222yuxu 22zu U 2/L
ESCI 342 – Atmospheric Dynamics Selected Answers to Exercises for Lesson 6 1. Perform a scale analysis of the horizontal momentum equations (in component form)
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