(a) The Stokes number, St, used in particle-dynamics studies is a dimensionless combination of five variables: acceleration of gravity g, viscosity µ, density p, particle velocity U, and particle diameter D. If St is propotional to u and inversely propotional to g, find its dimensionless form.
(a) The Stokes number, St, used in particle-dynamics studies is a dimensionless combination of five variables: acceleration of gravity g, viscosity µ, density p, particle velocity U, and particle diameter D. If St is propotional to u and inversely propotional to g, find its dimensionless form.
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.13P: 5.13 The torque due to the frictional resistance of the oil film between a rotating shaft and its...
Related questions
Question
![QUESTION 4 |
(a) The Stokes number, S1, used in particle-dynamics studies is a dimensionless combination
of five variables: acceleration of gravity g, viscosity µ, density p, particle velocity U, and
particle diameter D. If St is propotional to u and inversely propotional to g, find its
dimensionless form.
(b) When tested in water at 20°C flowing at 2 m s'', an 8 cm diameter sphere has a measured
drag force of 5 N. Determine the velocity and drag force on 1.5 m diameter weather balloon
moored in sea-level standard air under dynamically similar conditions?
(c) The power, W, generated by a certain windmill design depends upon its diameter, D, the
air density, p, the wind velocity, V, the rotation speed, 2, and the number of blades n. By
using velocity V, diameter D and density p as the repeating variables, prove the
dimensionless relationship is given by
W
Ω
pD?y³
Dyn](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f62ea44-b546-41a1-866e-37e9b907e159%2Feb09e645-c022-4bd3-8698-802cab5ea226%2Ffotb7d9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION 4 |
(a) The Stokes number, S1, used in particle-dynamics studies is a dimensionless combination
of five variables: acceleration of gravity g, viscosity µ, density p, particle velocity U, and
particle diameter D. If St is propotional to u and inversely propotional to g, find its
dimensionless form.
(b) When tested in water at 20°C flowing at 2 m s'', an 8 cm diameter sphere has a measured
drag force of 5 N. Determine the velocity and drag force on 1.5 m diameter weather balloon
moored in sea-level standard air under dynamically similar conditions?
(c) The power, W, generated by a certain windmill design depends upon its diameter, D, the
air density, p, the wind velocity, V, the rotation speed, 2, and the number of blades n. By
using velocity V, diameter D and density p as the repeating variables, prove the
dimensionless relationship is given by
W
Ω
pD?y³
Dyn
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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
![Principles of Heat Transfer (Activate Learning wi…](https://www.bartleby.com/isbn_cover_images/9781305387102/9781305387102_smallCoverImage.gif)
Principles of Heat Transfer (Activate Learning wi…
Mechanical Engineering
ISBN:
9781305387102
Author:
Kreith, Frank; Manglik, Raj M.
Publisher:
Cengage Learning
![Principles of Heat Transfer (Activate Learning wi…](https://www.bartleby.com/isbn_cover_images/9781305387102/9781305387102_smallCoverImage.gif)
Principles of Heat Transfer (Activate Learning wi…
Mechanical Engineering
ISBN:
9781305387102
Author:
Kreith, Frank; Manglik, Raj M.
Publisher:
Cengage Learning