A company manufactures geometrically similar airplane propellers up to (4.0 mathrm{~m}) in diameter. Wind tunnel tests are
Question:
A company manufactures geometrically similar airplane propellers up to \(4.0 \mathrm{~m}\) in diameter. Wind tunnel tests are run on geometrically similar propellers up to \(0.33 \mathrm{~m}\) in diameter. In the test of a \(0.33-\mathrm{m}\) model of a \(4.0-\mathrm{m}\) propeller, the air velocity was \(50 \mathrm{~m} / \mathrm{s}\). The model rotational speed was \(2000 \mathrm{rpm}\), the thrust \(100 \mathrm{~N}\), and the propeller input torque \(20 \mathrm{~N} \cdot \mathrm{m}\). Calculate the corresponding prototype rotational speed, thrust, and input torque for an airplane speed of \(100 \mathrm{~m} / \mathrm{s}\). The Reynolds numbers and Mach numbers are of minor importance.
Step by Step Answer:
Munson Young And Okiishi's Fundamentals Of Fluid Mechanics
ISBN: 9781119080701
8th Edition
Authors: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein