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?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
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,?
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
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Types of Composite
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning