- #1
LauraMorrison
- 26
- 0
Homework Statement
I will honestly be so grateful if someone can explain this to me. I am studying the Reynolds transport theorem, particularly mass conservation. I have read over my notes and I really do not understand how to calculate the mass flow rate through the control surface if it has a non uniform velocity. The equation I was given was:
[itex]\dot{m}[/itex]i = integralcsi ρVdA
I don't even understand why this would give the mass flow rate. I think the problem is I don't understand the relevance of the integral. How can integrating with respect to the control surface area give you the mass flow rate?
Also how can you integrate density x velocity with respect to area?
Does the mass flow rate have different types of integrals for different types of flow? (e.g. linear, non-linear)
I am so confused and keep panicking. Please someone help me!
Homework Equations
[itex]\dot{m}[/itex]i = integralcsi ρVdA