27cb1017-bf68-468e-a05e-65420790130b 24 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

4 appVersion 0.98.5983.24745

1. Example:Main Canal Design - To Find FSD, Vel, Froud Number etc, for Open Channel flow

]]>

Note:Input values highlighted. Default Units - SI

2. Input

]]>

Q.d 10 m 3^s / * :

Design discharge

Q.ol 12 m 3^s / * :

Overloaded discharge

Bed width

BW 4 m * :

Bed slope

S.0 0.00018 :

Side slope

Z 2 :

percent (#1) ％ 1100 / :

Manning's "n"

n 0.015 :

Free board

FB 0.75 m * :

3. Advanced Method - suitable for programming (using "FindRoot")

3.1. General Equations used

]]>

Area y b z A1 y b y z * + (* :

Perimeter y b z P1 b 2 y * (1 z 2^+ sqrt * + :

Hydraulic radius y b z R1 y b z A1 y b z P1 / :

Manning's Eqn y b z SL V1.m 1 n / y b z R1 (23 /^* (SL sqrt * m 13 /^s / (* :

Top width y b z TT b 2 z * y * + :

Velocity y b z V1 Q.d y b z A1 / :

Eqn to find normal depth for 
trapezoidal section b q SL z F7 q y b z A1 y b z SL V1.m * ≡ (:

Eqn to find critical depth for 
Trapeziodal sections b z q FF1 q 2^yy.c b z TT * g.e yy.c b z A1 (3^* / 1 ≡ (:

b q SL z F7 Unknowns b q SL y z 51 mat

b z q FF1 Unknowns b q yy.c z 41 mat

Eqn 1: This is useful for

programmimg as shown below

]]>

b z q y yy.c b z q FF1 y FindRoot 11 line :

y.g 1.5 m * :

guess depth

b q SL z yy yy b q SL z F7 yy FindRoot 11 line :

OK: Normal depth for trap. section BW Q.d S.0 Z y.g yy 1.559 m *

OK: Critical depth for Trapez. section BW Z Q.d 1 m * yy.c 0.7537 m *

Error: when assigned to a variable yy.0 BW Q.d S.0 Z y.g yy : 1.559 m *

Error: when assigned to a variable y.c BW Z Q.d 1 m * yy.c : 0.7537 m *

OK: Normal depth for rect. section BW Q.d S.0 0 y.g yy 2.581 m *

OK: Critical depth for Trapez. section BW Z Q.d 1 m * yy.c 0.7537 m *

Error: when assigned to a variable yy.1 BW Q.d S.0 0 y.g yy : 2.5812 m *

Error: when assigned to a variable yy.c0 BW Z Q.d 1 m * yy.c : 0.754 m *

Error: Froud Number at normal depth Fr1.0 Q.d 2^yy.0 BW Z TT * g.e yy.0 BW Z A1 (3^* / : 0.076

Error: Froud Number at critical depth Fr1.c Q.d 2^yy.c0 BW Z TT * g.e yy.c0 BW Z A1 (3^* / : 1

4. Further checks

d 1.55895 m * :

3 m * 2 m * - m

d BW Z S.0 V1.m 0.9012 m s / *

d BW Z A1 11.0965 m 2^*

d BW Z A1 d BW Z S.0 V1.m * 10 m 3^s / *