INVESTIGATING THE TERMINAL VELOCITY OF WATER DROPLETS

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Presentation transcript:

INVESTIGATING THE TERMINAL VELOCITY OF WATER DROPLETS Haoru Liu : hallliu000@gmail.com East Chapel Hill High School Summer Ventures in Science and Math 2009 Dr. Tashakkori, Mr. Miles, Ms. Shrestha

What is terminal velocity? Equilibrium state caused by equal forces of drag and gravity Easily predictable for small droplets-Stoke’s law Not so for larger droplets.

Previous methods Using a charged droplet to induce current in loops (Gunn et al. 1948) Developing a formula based on observations (Best 1950)

Purpose To develop a simple yet accurate way to measure terminal velocity Suitable for use in a general classroom setting

Methods White background illuminated by blue projector at the bottom of a high drop Camera placed on top of projector, aimed at white background White paper placed on ground in front of background

Methods (cont.) Pipette used – subdivided into 10μL segments with scale Tip of pipette cut and widened for larger drops Droplets were colored water

Methods (cont.) Higher frame rate used on camera (120fps) Frames extracted using Avidemux, processed with ImageJ Velocity found by multiplying streak length by frame rate

Results Volume (μL) Streak length (in) Velocity (m/s) 20 2.85 8.69 30 2.92 8.90 40 3.06 9.32 50 3.11 9.48 60 3.14 9.57 70 3.24 9.87 80 3.28 10.0

Results (cont.)

Conclusions Method suitable Streak measurement somewhat tricky Effects of perspective

Future Work Replication with standard 30fps camera Replication with >10000fps camera Effect of barometric pressure

Acknowledgements Dr. Rahman Tashakkori Jere Miles Biva Shrestha Alex Chin