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Solved: A two-dimensional fluid element of dimensions dx
Chapter 4, Problem 71P(choose chapter or problem)
Problem 71P
A two-dimensional fluid element of dimensions dx and dy translates and distorts as shown in Fig. P4‒74 during the infinitesimal time period dt = t2 ‒t1· The velocity components at point P at the initial time are u and v in the x- and y-directions, respectively. Consider the line segment PA in Fig. P4‒74, and show that the magnitude of the linear strain rate in the x-direction is
Fig:
Questions & Answers
QUESTION:
Problem 71P
A two-dimensional fluid element of dimensions dx and dy translates and distorts as shown in Fig. P4‒74 during the infinitesimal time period dt = t2 ‒t1· The velocity components at point P at the initial time are u and v in the x- and y-directions, respectively. Consider the line segment PA in Fig. P4‒74, and show that the magnitude of the linear strain rate in the x-direction is
Fig:
ANSWER:
Problem 71P
Solution 71P
Step 1 of 4 :
In this question, we have two dimensional fluid element with dimensions and
We need to prove the shear linear stress for line segment PA as
Let us consider a figure to understand the problem