This chapter begins with the introduction of the concept of a continuous medium (or continuum) which leads to the definitions of mass density and total mass of a continuum. A detailed development of the conservation of mass (COM) for a continuum is then given in cartesian coordinates for one, two and three dimensional continuum systems. The governing equation in 3-D is also derived in cylindrical coordinates. Example problems are given in which COM is applied to some fundamental problems in fluid mechanics:
- Laminar Flow between two flat parallel plates (Poiseuille flow)
- Laminar Flow through a cylindrical tube.