|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.
|Jan18-11, 04:42 PM||#2|
Never mind... I have forgotten the old chain rule from calculus. I was over thinking this problem.
|aerodynamics, continuity, fluid dynamics, fluid mechanics, mass conservation|
|Similar Threads for: Differentiating the Integral Form of the Continuity Equation for Fluids|
|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|