Shell balance

how fluid velocity changes with position across a flow cross section.

Although terms in the shell balance and boundary conditions will change, the basic set up and process is the same.

The fluid must exhibit: Boundary Conditions are used to find constants of integration.

A differential shell of height Δy is utilized (see diagram below).

To perform a shell balance, follow the following basic steps: Boundary 1: Top Surface: y = 0 and Vx = U Boundary 2: Bottom Surface: y = D and Vx = 0