6. Water flowing under the obstacle shown in Fig. 1 puts a vertical force F, on the obstacle. This force is assumed to be a function of the volumetric flowrate Q, the water density p, the gravitational acceleration g, and a length & that characterizes the size of the obstacle. A 1/20 scale model is to be used to predict the vertical force on the prototype. (b) Perform a dimensional analysis for this problem. If the prototype flowrate is 100 m³/s, determine the water flowrate

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
100%
F₂
Figure 1: Problem 6.
Transcribed Image Text:F₂ Figure 1: Problem 6.
6. Water flowing under the obstacle shown in Fig. 1 puts a vertical force F, on
the obstacle. This force is assumed to be a function of the volumetric flowrate
Q, the water density p, the gravitational acceleration g, and a length that
characterizes the size of the obstacle. A 1/20 scale model is to be used to
predict the vertical force on the prototype.
Perform a dimensional analysis for this problem.
-If the prototype flowrate is 100 m³/s, determine the water flowrate
for the model if the flows are to be similar.
(a)
(b)
Transcribed Image Text:6. Water flowing under the obstacle shown in Fig. 1 puts a vertical force F, on the obstacle. This force is assumed to be a function of the volumetric flowrate Q, the water density p, the gravitational acceleration g, and a length that characterizes the size of the obstacle. A 1/20 scale model is to be used to predict the vertical force on the prototype. Perform a dimensional analysis for this problem. -If the prototype flowrate is 100 m³/s, determine the water flowrate for the model if the flows are to be similar. (a) (b)
Expert Solution
steps

Step by step

Solved in 4 steps with 18 images

Blurred answer
Knowledge Booster
Dimensional Analysis
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.
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