For a rectangular channel of $23-$meters width,

a$)$ calculate critical water depth, y and critical energy, E values for discharge Q$=0,2,6,$

$9$m$3$

$/$s;

b$)$ calculate specific energy, E for a range of theoretical values of depth, y$,$ up to a

maximum value of $1$m $(0-1$m$)$ for discharge Q$=0,2,6,9$m$3$

$/$s$)$;

c$)$ plot a family of specific energy curves $($y vs E$)$ for discharge Q$=0,2,6,9$m$3$

$/$s with

calculated critical water depth and critical energy values in Question a$)$;

d$)$ provide your comment on the relationship between discharge Q and specific energy

E$,$ also between discharge Q and water depth.

$($Tip: you need to use the small interval of water depth, y to generate the proper specific

energy diagram with water depth y$)$

Note: provide the MATLAB programme and workspace used in the coursework report