To determine Chezy’s and Manning’s coefficient (C and N) for a rectangular smooth open channel.

Object: To determine the Chezy’s and Manning’s coefficient (C and N) for a rectangular smooth open channel.

Apparatus Required:

  • Perspex–sided S4 tilting flume, with slope control device; stopwatch.
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Perspex-sided tilting flume S4

Theory:

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Fig. Uniform Flow in an Open Channel

In uniform flow:

Y is constant V is constant

Sw = Sf = So = S (common symbol) For a rectangular channel,

A = BY

P = B + 2Y R = A / P

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Fig. Cross-section of a rectangular channel

For uniform open-channel flow, Chezy’s formula:

V C

R S

(1.1)

C V

RS

(1.2)

And Manning’s formula:

V  1 R 2 / 3 S 1 / 2

n

(1.3)

n

R 2 / 3 S 1 / 2

V

(1.4)

Procedure:



Observations:

B = 0.075 m

A

P

R

V

C =

R2/3

n

S #

S

t

Q

Y

= 0.075

x Y

= 0.075

+ 2Y

=

A/P

Q

A

RS

V RS

Ss1/2

R 2 / 3 S 1 /

V

l

m3

s

m3/s

m

m2

m

m

m/s

m1/2

m1/2/s

m2/3

m-1/3.s

(1)

(2)

(3)

(4)=

(3) 1000

(5)

(6)=

(4)

(5)

(7)

(8)

(9)

(10)=

(8)

(9)

(11)=

(6)

(8)

(12)=

(10)x(2)

(13)=

(11)

(12)

(14)= (10)2/3 (2)1/2

(14)

(15)=

(11)


2

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