Law of Conservation of Mass

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

The law of conservation of mass states that matter can neither be created or destroyed. You can mix, separate or rearrange, but the total amount of mass remains the same. An example of this is that all matter that enters a pipe will exit the pipe.

 

law of conservation of mass formula

\(\large{    \frac{ \partial \rho }{ \partial t }  + \triangledown \; \left( \rho \; v \right) = 0  }\) 

Where:

 Units English Metric
\(\large{ \rho }\)   (Greek symbol rho) = density \(\large{\frac{lbm}{ft^3}}\) \(\large{\frac{kg}{m^3}}\)
\(\large{ \partial }\) = divergence - -
\(\large{ v }\) = flow velocity field \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)
\(\large{ t }\) = time \(\large{ sec }\) \(\large{ s }\)

 

 Piping Designer Logo Slide 1

Tags: Equations for Mass Equations for Law of Conservation