Solution Found!
In a steady, two-dimensional flow field in the xy-plane,
Chapter 4, Problem 112P(choose chapter or problem)
Problem 112P
In a steady, two-dimensional flow field in the xy-plane, the x-component of velocity is
where a, b, c, and d are constants with appropriate dimensions. Generate a general expression for velocity component v such that the flow field is incompressible.
Questions & Answers
QUESTION:
Problem 112P
In a steady, two-dimensional flow field in the xy-plane, the x-component of velocity is
where a, b, c, and d are constants with appropriate dimensions. Generate a general expression for velocity component v such that the flow field is incompressible.
ANSWER:
Solution 112P
In a steady, two-dimensional flow field in the xy-plane, the x-component of velocity is =
where a, b, c, and d are constants with appropriate dimensions. A general expression for velocity component v can be determined as follows.
Step 1 of 2
The x-component of velocity is =
. We have to find an expression for
such that flow field is incompressible. In order for the flow field to be incompressible, the volumetric strain rate must be zero. Now, volumetric strain rate is given by
=
+