5. An airplane wing is designed to move through air at a speed of V= 8 m/s. It has a span of S = 9 m and a chord length I. = 1.5 m. The wing is to be tested using a small 1/10 th scaled model of the wing in water tunnel - keeping the ratio S/L fixed. The drag force F on the wing is given functionally by F = f( p, µ, V, L, S). (a) using the repcating variables p,V, L express the relation in 3 dimensionless Pi groups ,71 = f(T2, T3); (b) what speed in the water tunnel is necessary for dynamic similarity?; (c) what will be the ratio of forces Fmodel/ Factual ? [Approx ans: (b) V~ 3.7 m/s; (c) Fm/Fa ~4.5 ]

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

help

5. An airplane wing is designed to move through air at a speed of V= 8 m/s. It has a span of S=9 m and a chord length I.
= 1.5 m. The wing is to be tested using a small 1/10 th scaled model of the wing in water tunnel - keeping the ratio S/L
fixed. The drag force F on the wing is given functionally by F = f ( p, u, V, L, S). (a) using the repcating variables p,V, L
express the relation in 3 dimensionless Pi groups „11 = f(T2, T3) ; (b) what speed in the water tunnel is necessary for
dynamic similarity?; (c) what will be the ratio of forces Fmodel/ Factual ?
[Approx ans: (b) V~ 3.7 m/s; (c) Fm/Fa ~ 4.5 ]
Transcribed Image Text:5. An airplane wing is designed to move through air at a speed of V= 8 m/s. It has a span of S=9 m and a chord length I. = 1.5 m. The wing is to be tested using a small 1/10 th scaled model of the wing in water tunnel - keeping the ratio S/L fixed. The drag force F on the wing is given functionally by F = f ( p, u, V, L, S). (a) using the repcating variables p,V, L express the relation in 3 dimensionless Pi groups „11 = f(T2, T3) ; (b) what speed in the water tunnel is necessary for dynamic similarity?; (c) what will be the ratio of forces Fmodel/ Factual ? [Approx ans: (b) V~ 3.7 m/s; (c) Fm/Fa ~ 4.5 ]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Types of Loading
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY