Part A $-$ Design question $(40\%)$:

Rectangular pipes are designed to carry fluid $($gas$).$ A rectangular pipe with a width of $100$ cm is to be constructed, with the fluid temperature at $30C.$ flowrate of $0\mathrm{.}0046\frac{m^3}{sec}.$ The viscosity is $7\mathrm{.}97{10}^{-4}n\frac{s}{m^2}$ and $8{10}^{-7}\frac{m^2}{s}.$

Based on the assigned task, answer the following questions:

QA$1.$ Design the appropriate height of the pipe based on these conditions. Explain your calculations

The maximum height of the pipe should adhere to specific limits based on the flow regime:

For laminar flow, designed for a medium flow rate, the height should not exceed $10$ m meters.

For turbulent flow, designed for the lowest flow rate, the height should not exceed $4$ meters. with contact with the upper surface

$[20\%]$