4. Agitators are widely used for mixing purposes in chemical industries. Researchers want to estimate the actual power (P) required for agitation using a geometrically similar one-eighth model. For an un- baffled vessel, P is expected to depend on the rotation speed, the impeller diameter, acceleration due to gravity g and the density of the fluid being agitated. The following data apply Model Prototype Impeller diameter, D, = 20 cm Density, p = 1200 kg/m³ Rotation speed, N = 10 s1 D, = ? p = 1200 kg/m³ N = ? a) Use dimensional analysis to develop a suitable set of dimensionless groups for this problem. b) For the model, determine the values indicated in the table with a question mark. c) What will be the power ratio Pm/Pp?
4. Agitators are widely used for mixing purposes in chemical industries. Researchers want to estimate the actual power (P) required for agitation using a geometrically similar one-eighth model. For an un- baffled vessel, P is expected to depend on the rotation speed, the impeller diameter, acceleration due to gravity g and the density of the fluid being agitated. The following data apply Model Prototype Impeller diameter, D, = 20 cm Density, p = 1200 kg/m³ Rotation speed, N = 10 s1 D, = ? p = 1200 kg/m³ N = ? a) Use dimensional analysis to develop a suitable set of dimensionless groups for this problem. b) For the model, determine the values indicated in the table with a question mark. c) What will be the power ratio Pm/Pp?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
6
![4. Agitators are widely used for mixing purposes in chemical industries. Researchers want to estimate
the actual power (P) required for agitation using a geometrically similar one-eighth model. For an un-
baffled vessel, P is expected to depend on the rotation speed, the impeller diameter, acceleration due
to gravity g and the density of the fluid being agitated. The following data apply
Model
Prototype
Impeller diameter, D, = 20 cm
Density, p = 1200 kg/m3
Rotation speed, N = 10 s1
Da = ?
p = 1200 kg/m3
N = ?
a) Use dimensional analysis to develop a suitable set of dimensionless groups for this problem.
b) For the model, determine the values indicated in the table with a question mark.
c) What will be the power ratio Pm/P,?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0429dd2b-d4e6-4154-a1ed-2aa74068fcc6%2F664b804c-4218-4bc1-9cb5-9e919e8206b6%2Fof4drw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Agitators are widely used for mixing purposes in chemical industries. Researchers want to estimate
the actual power (P) required for agitation using a geometrically similar one-eighth model. For an un-
baffled vessel, P is expected to depend on the rotation speed, the impeller diameter, acceleration due
to gravity g and the density of the fluid being agitated. The following data apply
Model
Prototype
Impeller diameter, D, = 20 cm
Density, p = 1200 kg/m3
Rotation speed, N = 10 s1
Da = ?
p = 1200 kg/m3
N = ?
a) Use dimensional analysis to develop a suitable set of dimensionless groups for this problem.
b) For the model, determine the values indicated in the table with a question mark.
c) What will be the power ratio Pm/P,?
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.
Step by step
Solved in 3 steps with 3 images
![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, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Fundamentals of Structural Analysis](https://www.bartleby.com/isbn_cover_images/9780073398006/9780073398006_smallCoverImage.gif)
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
![Sustainable Energy](https://www.bartleby.com/isbn_cover_images/9781337551663/9781337551663_smallCoverImage.gif)
![Traffic and Highway Engineering](https://www.bartleby.com/isbn_cover_images/9781305156241/9781305156241_smallCoverImage.jpg)
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning