Water Resources Engineering

use excel for finding

Cost relation for a specific municipal water supply project:

$C(x)=1564D^3-5930D^2+7690D-1611$ for $0\mathrm{.}5D2\mathrm{.}0m$

C: cost of the pipe $(\frac{\text{\$}}{m})$

$D$ : pipe diameter $(m)$

Using William$-$Hazen Eqn with $Cw=100,$

Plot the variation of the pipe cost with respect to capacity $($Q$)$ for the slope of $0\mathrm{.}001.$ The minimum required discharge is $0\mathrm{.}5\frac{m^3}{s}.$

The increase in cost with respect to capacity should be less than $200(\frac{\text{\$}}{m})(\frac{m^3}{s}).$

Propose the optimum pipe size.