## Related questions with answers

Question

# We define volumetric strain rate as the rate of increase of volume of a fluid element per unit volume. In Cartesian coordinates we write the volumetric strain rate as $rac{1}{V} rac{D V}{D t}=rac{\partial u}{\partial x}+rac{\partial v}{\partial y}+rac{\partial w}{\partial z}$. Write the primary dimensions of each additive term, and verify that the equation is dimensionally homogeneous. Show all your work.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 6Given Data

The volumetric strain rate is given by

$\dfrac{1}{V} \dfrac{D V}{D t}=\dfrac{\partial u}{\partial x}+\dfrac{\partial v}{\partial y}+\dfrac{\partial w}{\partial z}$

We need to find primary dimensions of each variable

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Fundamentals of Electric Circuits

6th Edition•ISBN: 9780078028229 (12 more)Charles Alexander, Matthew Sadiku2,120 solutions

#### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th Edition•ISBN: 9780133942651 (5 more)Randall D. Knight3,508 solutions

#### Advanced Engineering Mathematics

10th Edition•ISBN: 9780470458365 (6 more)Erwin Kreyszig4,134 solutions

#### Fluid Mechanics: Fundamentals and Applications

4th Edition•ISBN: 9781259696534 (6 more)John Cimbala, Yunus A. Cengel2,010 solutions

## More related questions

1/4

1/7