1. Two concentric cylinders of radii a and b respectively (a > b) have their common axis lying along the z-axis. The space between them b

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

a,b please

1. Two concentric cylinders of radii a and b respectively (a > b) have their common axis
lying along the z-axis. The space between them b <r < a contains fluid of viscosity u.
A flow is generated by moving the outer cylinder with constant speed U parallel to its
axis whilst the inner cylinder remains at rest.
(a) Use cylindrical polar coordinates (r, 0, z) and consider an elementary fluid element
of lengths dr and dz and angle de (measured from the z-axis). Draw a diagram
showing the forces acting on the surfaces of the fluid element.
du
(b) Given that the viscous stressT = µ determine the velocity distribution u in the
dr
z-direction, stating any assumptions you make.
Transcribed Image Text:1. Two concentric cylinders of radii a and b respectively (a > b) have their common axis lying along the z-axis. The space between them b <r < a contains fluid of viscosity u. A flow is generated by moving the outer cylinder with constant speed U parallel to its axis whilst the inner cylinder remains at rest. (a) Use cylindrical polar coordinates (r, 0, z) and consider an elementary fluid element of lengths dr and dz and angle de (measured from the z-axis). Draw a diagram showing the forces acting on the surfaces of the fluid element. du (b) Given that the viscous stressT = µ determine the velocity distribution u in the dr z-direction, stating any assumptions you make.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Plane and space trusses
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
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