The continuity equation in fluid mechanics is derived using conservation of mass of a system of fluid (think of a pipe w
Posted: Thu May 05, 2022 6:54 pm
The continuity equation in fluid mechanics is derived using conservation of mass of a system of fluid (think of a pipe with water coming in one side and coming out the other). It states that within a bounded region 2 (bounded by an) ap + V (pu) = 0 Ət where p is the fluid density, t is time, and u is the fluid velocity vector field. In integral form this states др Jo dv dV= = ₂- -V. (pu) dv. Ət What does the divergence theorem say that the right hand side of this equation is equal to?