User:Lorywill/sandbox

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$v={1.49 \over n}R^{2 \over 3}S^{1 \over 2}$

$Fr={v \over {\sqrt {gy_{0}}}}$

$Q=vA$

$E={v^{2} \over 2g}+y$

Y (ft)	A (ft²)	P (ft)	R (ft)	V (ft/s)	Q (ft³/s)	E (ft)	Fr	Comments
1.62	16.2	13.2	1.22	5.39	87.4	2.07	0.75	Shows reach is mild, because Froude number is less than 1
1.5	15	13	1.15	5.18	77.8	1.91	0.75	Need to increase depth because energy is less than 2
1.55	15.5	13.1	1.18	5.27	81.7	1.98	0.75	Need to increase depth because energy is less than 2
1.56	15.6	13.1	1.19	5.30	82.25	2	0.75	Correct discharge because energy is equal to 2

Y (ft)	A (ft²)	P (ft)	R (ft)	V (ft/s)	Q (ft³/s)	E (ft)	Fr	Comments
3.31	33.1	16.9	1.99	2.64	87.4	3.42	0.26	Shows reach is mild, because Froude number is less than 1
2.5	25	15	1.67	2.34	58.5	2.59	0.26	Need to decrease depth because energy is greater than 2
1.8	18	13.6	1.32	2.01	36.1	1.86	0.26	Need to increase depth because energy is less than 2
1.9	19.3	13.9	1.39	2.08	40.2	2	0.26	Correct discharge because energy is equal to 2

Slope	Discharge
0.01	87.4
0.009	87.4
0.007	87.4
0.0055	86.3
0.004	82.8
0.0025	74.4
0.0017	66.0
0.001	54.1
0.0008	49.3
0.0005	40.2
0.0003	31.8
0.00005	13.3
0	0