Solution Found!
Combine your results from Prob. 4-109 to form the
Chapter 4, Problem 106P(choose chapter or problem)
Problem 106P
Combine your results from Prob. 4-109 to form the axisymmetric strain rate tensor ɛij.
Are the x- and r-axes principal axes?
PROBLEM: For the axisymmetric Poiseuille flow of Prob. 4-108. calculate the linear strain rates in the x- and r-directions, and calculate the shear strain rate ɛxr. The strain rate tensor in cylindrical coordinates (r, θ. x) and (ur,uθ. u x). is
Questions & Answers
QUESTION:
Problem 106P
Combine your results from Prob. 4-109 to form the axisymmetric strain rate tensor ɛij.
Are the x- and r-axes principal axes?
PROBLEM: For the axisymmetric Poiseuille flow of Prob. 4-108. calculate the linear strain rates in the x- and r-directions, and calculate the shear strain rate ɛxr. The strain rate tensor in cylindrical coordinates (r, θ. x) and (ur,uθ. u x). is
ANSWER:
Problem 106P
Solution 106P
Step 1 of 4:
In this question, we have axisymmetric Poiseuille flow velocity field, we need to form the axisymmetric strain rate tensor
We also need to find the x and r axes are principal axes
Given axisymmetric strain tensor
