# CHEZY’S CONSTANT AND MANNING’S COEFFICIENT FOR OPEN CHANNELS

**OBJECTIVE:**

i. To find Chezy’s constant for open channels.

ii. To find Manning’s Roughness coefficient for the given open channel.

iii. To draw the following graphs for two different slopes of channel.

iv. Chezy’s constant C vs. Reynolds number.

**v. **Manning’s coefficient n vs. Reynolds number.

**EQUIPMENT:**

a) Open channel of rectangular cross section with slope adjusting mechanism.

b) Pointer gauge.

c) Measuring tank.

d) Stop watch .

**BASICS:**

Allow water to flow uniformly through the given open channel of slop s at different rates. The actual discharge Qa is determined by using measuring tank and the stop watch.

The actual discharge

Where

a -area of measuring tank in cm^{2}.

h -Level difference of water in the measuring tank in cm.

tm-The mean time to collect water for a height difference of h cm, measured in sec

Chezy’s constant C for open channels can be calculated from the relationship

Where

A -B*H cm^{2} ( B-width of the channel-depth of water)

S -tan (slope of channel bed)

Rh -Hydraulic radius (Cross sectional are/ Wetted perimeter)

(B*H) /(2H+B) CM

Manning’s roughness coefficient n can be calculated using the formula

Where

A, Rh , and s are stated above.

Reynolds number for flow through the pipe line is calculated as

^{}

Where

? -Mass density of water(995.7 )kg / m ^{3 }

v -Velocity of flow cm/s.

Rh -Hydraulic radius of channel in cm

µ – Absolute viscosity of water

**OBSERVATIONS: **

**Constants **

i. Measuring tank size

ii. The height h cm for which the time t_{1} and t_{2} are noted to collect water in the measuring tank

iii. Width of the channel B cm

iv. Slope s of the channel tan? =y/L (L-test length horizontal, y-vertical shift of channel shown by the pointer)

v. Temperature of water flowing through the pipe line

**Variables**

i. The depth of water H cm in the channel measured by pointer gauge

ii. Time t_{m} seconds required to collect water for a height of h cm in the measuring tank as mean value of readings t_{1} and t_{2}.

**PROCESDURE:**

i. Set the channel for the required slope and allow water to flow through the channel

ii. Adjust the inlet valve to get the maximum depth of water flow in the channel and measure the depth as H cm, using pointer gauge .Divide the value in to seven approximately equal divisions to fix the steps in depth for the seven sets of readings

iii. Adjust the inlet valve opening to get the required depth of water in the channel

iv. Note the time t to collect water for a rise of h cm in the measuring tank twice as t_{1} and t_{2}.If the differences in reading exceeds 10% take a third reading which is coming in the range

v. Repeat the experiment for different depths of water

vi. Do the above experiment again for a different slope and tabulate all the observations

**RESULT:**

**INFERENCE:**

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