# Differentiating the Integral Form of the Continuity Equation for Fluids

by Eigenstate
Tags: aerodynamics, continuity, fluid dynamics, fluid mechanics, mass conservation
 P: 2 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.
 P: 2 Never mind... I have forgotten the old chain rule from calculus. I was over thinking this problem.

 Related Discussions Calculus & Beyond Homework 2 Calculus & Beyond Homework 3 Calculus 8 Calculus & Beyond Homework 4 Introductory Physics Homework 10