| New Reply |
Differentiating the Integral Form of the Continuity Equation for Fluids |
Share Thread | Thread Tools |
| Jan18-11, 03:53 PM | #1 |
|
|
Differentiating the Integral Form of the Continuity Equation for Fluids
1. The problem statement, all variables and given/known data
I am working on a problem that asks to use the integral form of the continuity equation (for a steady flow) and show that it can equal this (by taking the derivative of it): dr/r + dV/V + dA/A = 0 where V is Velocity and r is the density. 2. Relevant equations What would the derivative be with respect to? 3. The attempt at a solution I was able to bring it down to: rVA=0 but I am unaware how to differentiate this so that it looks like the equation above. Thanks. |
| Jan18-11, 04:42 PM | #2 |
|
|
Never mind... I have forgotten the old chain rule from calculus. I was over thinking this problem.
|
| New Reply |
| Tags |
| aerodynamics, continuity, fluid dynamics, fluid mechanics, mass conservation |
| Thread Tools | |
Similar Threads for: Differentiating the Integral Form of the Continuity Equation for Fluids
|
||||
| Thread | Forum | Replies | ||
| Differentiating an integral | Calculus & Beyond Homework | 2 | ||
| differentiating an integral | Calculus & Beyond Homework | 3 | ||
| Differentiating an integral | Calculus | 8 | ||
| Differentiating an integral | Calculus & Beyond Homework | 4 | ||
| Help with Maxwell’s equation in integral form | Introductory Physics Homework | 10 | ||