Hydraulic Mean Depth using Central Angle Calculator

✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_pipe]			+10% -10%
✖A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B.ⓘ Central Angle [∠_central]			+10% -10%

✖Hydraulic mean depth while running partially full.ⓘ Hydraulic Mean Depth using Central Angle [r]

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Formula

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Hydraulic Mean Depth using Central Angle

Formula

`"r" = ("D"_{"pipe"}/4)*(1-(((360*pi/180)*sin("∠"_{"central"}))/(2*pi*"∠"_{"central"})))`

Example

`"0.022678m"=("0.91m"/4)*(1-(((360*pi/180)*sin("45°"))/(2*pi*"45°")))`

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Hydraulic Mean Depth using Central Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic mean depth = (Diameter of Pipe/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)))
r = (D_pipe/4)*(1-(((360*pi/180)*sin(∠_central))/(2*pi*∠_central)))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Hydraulic mean depth - (Measured in Meter) - Hydraulic mean depth while running partially full.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Central Angle - (Measured in Radian) - A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B.

STEP 1: Convert Input(s) to Base Unit

Diameter of Pipe: 0.91 Meter --> 0.91 Meter No Conversion Required
Central Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = (D_pipe/4)*(1-(((360*pi/180)*sin(∠_central))/(2*pi*∠_central))) --> (0.91/4)*(1-(((360*pi/180)*sin(0.785398163397301))/(2*pi*0.785398163397301)))

Evaluating ... ...

r = 0.0226780380742501

STEP 3: Convert Result to Output's Unit

0.0226780380742501 Meter --> No Conversion Required

FINAL ANSWER

0.0226780380742501 ≈ 0.022678 Meter <-- Hydraulic mean depth

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Hydraulic Designs of Sewers and S. W. Drain Sections » Hydraulic Characteristics of Circular Sewers Sections » Circular Sewer Section Running Full » Hydraulic Mean Depth using Central Angle

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 6 Circular Sewer Section Running Full Calculators

Diameter of pipe given Area of Cross-section

Go Diameter of Pipe = (Area of cross-section/(pi/4)*((Angle/(360*pi/180))-(sin(Angle)/2*pi)))^(1/2)

Diameter of Pipe using Hydraulic Mean Depth

Go Diameter of Pipe = Hydraulic mean depth/((1/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))))

Hydraulic Mean Depth using Central Angle

Go Hydraulic mean depth = (Diameter of Pipe/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)))

Velocity while Running Full given Discharge

Go Velocity while running full = Discharge when pipe is running full/Area of cross-section of pipe

Area of Cross-Section given Discharge

Go Area of cross-section of pipe = Discharge when pipe is running full/Velocity while running full

Discharge when Pipe is Running Full

Go Discharge when pipe is running full = Velocity while running full*Area of cross-section of pipe

Hydraulic Mean Depth using Central Angle Formula

Hydraulic mean depth = (Diameter of Pipe/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)))
r = (D_pipe/4)*(1-(((360*pi/180)*sin(∠_central))/(2*pi*∠_central)))

What is hydraulic mean depth ?

Hydraulic depth, abbreviated as dh, also called hydraulic mean depth, is the area cross-section of water in a pipe or channel divided by the wetting perimeter.

How to Calculate Hydraulic Mean Depth using Central Angle?

Hydraulic Mean Depth using Central Angle calculator uses Hydraulic mean depth = (Diameter of Pipe/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))) to calculate the Hydraulic mean depth, The Hydraulic Mean Depth using Central Angle is defined as the depth which, when multiplied by the top water surface width is equal to the irregular section area. Hydraulic mean depth is denoted by r symbol.

How to calculate Hydraulic Mean Depth using Central Angle using this online calculator? To use this online calculator for Hydraulic Mean Depth using Central Angle, enter Diameter of Pipe (D_pipe) & Central Angle (∠_central) and hit the calculate button. Here is how the Hydraulic Mean Depth using Central Angle calculation can be explained with given input values -> 0.00324 = (0.91/4)*(1-(((360*pi/180)*sin(0.785398163397301))/(2*pi*0.785398163397301))).

FAQ

What is Hydraulic Mean Depth using Central Angle?

The Hydraulic Mean Depth using Central Angle is defined as the depth which, when multiplied by the top water surface width is equal to the irregular section area and is represented as r = (D_pipe/4)*(1-(((360*pi/180)*sin(∠_central))/(2*pi*∠_central))) or Hydraulic mean depth = (Diameter of Pipe/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))). Diameter of Pipe is the diameter of the pipe in which the liquid is flowing & A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B.

How to calculate Hydraulic Mean Depth using Central Angle?

The Hydraulic Mean Depth using Central Angle is defined as the depth which, when multiplied by the top water surface width is equal to the irregular section area is calculated using Hydraulic mean depth = (Diameter of Pipe/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))). To calculate Hydraulic Mean Depth using Central Angle, you need Diameter of Pipe (D_pipe) & Central Angle (∠_central). With our tool, you need to enter the respective value for Diameter of Pipe & Central Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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