There are 20 identical parallel channels of equal height, width, and length. The cancer cells adhere if the shear stress is below a critical value, given below. Use the following design conditions to determine the channel height (in cm) to permit efficient capture of the cells on the surface of the slide:

1. Channel width w is 20 times the height h to ensure that the flow is one-dimensional.

2. The total flow rate must be 10 cm3 h-1

3. The viscosity is 0.008 g cm-1 s-1 and the density is 1 g cm-3

4. The shear stress at the lower surface must be no higher than 1 dyn cm-2

5. The channel length is 6 cm.

Please start with Navier Stokes, in x y and z and explain why you cross out each variable please. Looking more for a deep walk through than simple solution. Will rate if explained well even if wrong answer!