Doppler Effect - I
Doppler Effect - II
General Characteristics of Pipe Flow I
Major Losses in Pipes
Minor Losses in Pipes
Inverse Trigonometric Functions
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Updated: Feb 1, 2026

Blood Flow Imaging with Ultrafast Doppler
Published on: October 14, 2020
1Smart Materials Laboratory, Department of Applied Physics, Northwestern Polytechnical University, Xi'an, 710129, P. R. China.
This study discovered inverse Doppler effects in recorders and clarinets, revealing these pipe instruments may be early acoustic metamaterials. This finding explains their historical popularity and aids future metamaterial design.
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