Solution Found!
For the velocity field of Prob. 4?63, calculate the linear
Chapter 4, Problem 61P(choose chapter or problem)
Problem 61P
For the velocity field of Prob. 4‒63, calculate the linear strain rates in the x- and y-directions.
PROBLEM: A general equation for a steady, two-dimensional velocity field that is linear in both spatial directions (x and y) is
Where U and V and the coefficients are constants. Their dimensions are assumed to be appropriately defined. Calculate the x- and y-components of the acceleration field.
Questions & Answers
QUESTION:
Problem 61P
For the velocity field of Prob. 4‒63, calculate the linear strain rates in the x- and y-directions.
PROBLEM: A general equation for a steady, two-dimensional velocity field that is linear in both spatial directions (x and y) is
Where U and V and the coefficients are constants. Their dimensions are assumed to be appropriately defined. Calculate the x- and y-components of the acceleration field.
ANSWER:
Solution to 61P
Step 1
We need to find the linear strain rates for the given velocity field:
Velocity field is given as :
Where, u and v are material velocity components, a and b are arbitrary constants, x and y are coordinates.
The linear strain rates are given by,
U and v are velocity components.