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Diameter of Pipe using Hydraulic Mean Depth Formula

GoDiameter of pipe given Area of Cross-section Formula

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Diameter of Pipe is the diameter of the pipe in which the liquid is flowing. Check FAQs

D pipe = \frac{r pf}{(\frac{1}{4}) \cdot (1 - (\frac{(360 \cdot \frac{π}{180}) \cdot \sin (∠ central)}{2 \cdot π \cdot ∠ central}))}

D_pipe - Diameter of Pipe?r_pf - Hydraulic Mean Depth for Partially Full?∠_central - Central Angle?π - Archimedes' constant?

Diameter of Pipe using Hydraulic Mean Depth Example

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Here is how the Diameter of Pipe using Hydraulic Mean Depth equation looks like with Values.

Here is how the Diameter of Pipe using Hydraulic Mean Depth equation looks like with Units.

Here is how the Diameter of Pipe using Hydraulic Mean Depth equation looks like.

21.8243 = \frac{3.2}{(\frac{1}{4}) \cdot (1 - (\frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (120)}{2 \cdot 3.1416 \cdot 120}))}

21.8243m = \frac{3.2m}{(\frac{1}{4}) \cdot (1 - (\frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (120°)}{2 \cdot 3.1416 \cdot 120°}))}

21.8243 = \frac{3.2}{(\frac{1}{4}) \cdot (1 - (\frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (120)}{2 \cdot 3.1416 \cdot 120}))}

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Diameter of Pipe using Hydraulic Mean Depth Solution

Follow our step by step solution on how to calculate Diameter of Pipe using Hydraulic Mean Depth?

FIRST Step Consider the formula

D pipe = \frac{r pf}{(\frac{1}{4}) \cdot (1 - (\frac{(360 \cdot \frac{π}{180}) \cdot \sin (∠ central)}{2 \cdot π \cdot ∠ central}))}

Next Step Substitute values of Variables

∴

D pipe = \frac{3.2m}{(\frac{1}{4}) \cdot (1 - (\frac{(360 \cdot \frac{π}{180}) \cdot \sin (120°)}{2 \cdot π \cdot 120°}))}

Next Step Substitute values of Constants

∴

D pipe = \frac{3.2m}{(\frac{1}{4}) \cdot (1 - (\frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (120°)}{2 \cdot 3.1416 \cdot 120°}))}

Next Step Convert Units

∴

D pipe = \frac{3.2m}{(\frac{1}{4}) \cdot (1 - (\frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (2.0944rad)}{2 \cdot 3.1416 \cdot 2.0944rad}))}

Next Step Prepare to Evaluate

∴

D pipe = \frac{3.2}{(\frac{1}{4}) \cdot (1 - (\frac{(360 \cdot \frac{3.1416}{180}) \cdot \sin (2.0944)}{2 \cdot 3.1416 \cdot 2.0944}))}

Next Step Evaluate

∴

D pipe = 21.8242580723081m

LAST Step Rounding Answer

∴

D pipe = 21.8243m

Diameter of Pipe using Hydraulic Mean Depth Formula Elements

Variables

Constants

Functions

Diameter of Pipe

Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

Symbol: D_pipe

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Hydraulic Mean Depth for Partially Full

Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels.

Symbol: r_pf

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Mean Depth for Partially Full

Central Angle

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.

Symbol: ∠_central

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Central Angle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sin(Angle)

Other Formulas to find Diameter of Pipe

Go Diameter of pipe given Area of Cross-section

D pipe = {(\frac{a}{(\frac{π}{4}) \cdot ((\frac{∠ central}{360 \cdot \frac{π}{180}}) - (\frac{\sin (∠ central)}{2 \cdot π}))})}^{\frac{1}{2}}

Other formulas in Circular Sewer Section Running Full category

Go Hydraulic Mean Depth using Central Angle

r pf = (\frac{D pipe}{4}) \cdot (1 - (\frac{(360 \cdot \frac{π}{180}) \cdot \sin (∠ central)}{2 \cdot π \cdot ∠ central}))

Go Discharge when Pipe is Running Full

Q = V \cdot A

Go Area of Cross-Section given Discharge

A = \frac{Q}{V}

Go Velocity while Running Full given Discharge

V = \frac{Q}{A}

How to Evaluate Diameter of Pipe using Hydraulic Mean Depth?

Diameter of Pipe using Hydraulic Mean Depth evaluator uses Diameter of Pipe = Hydraulic Mean Depth for Partially Full/((1/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)))) to evaluate the Diameter of Pipe, The Diameter of Pipe using Hydraulic Mean Depth is defined as the straight-line distance across the pipe's circular cross-section, crucial for determining flow capacity. Diameter of Pipe is denoted by D_pipe symbol.

How to evaluate Diameter of Pipe using Hydraulic Mean Depth using this online evaluator? To use this online evaluator for Diameter of Pipe using Hydraulic Mean Depth, enter Hydraulic Mean Depth for Partially Full (r_pf) & Central Angle (∠_central) and hit the calculate button.

FAQs on Diameter of Pipe using Hydraulic Mean Depth

What is the formula to find Diameter of Pipe using Hydraulic Mean Depth?

The formula of Diameter of Pipe using Hydraulic Mean Depth is expressed as Diameter of Pipe = Hydraulic Mean Depth for Partially Full/((1/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)))). Here is an example- 128.4062 = 3.2/((1/4)*(1-(((360*pi/180)*sin(central_angle))/(2*pi*central_angle)))).

How to calculate Diameter of Pipe using Hydraulic Mean Depth?

With Hydraulic Mean Depth for Partially Full (r_pf) & Central Angle (∠_central) we can find Diameter of Pipe using Hydraulic Mean Depth using the formula - Diameter of Pipe = Hydraulic Mean Depth for Partially Full/((1/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)))). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Diameter of Pipe?

Here are the different ways to Calculate Diameter of Pipe-

Diameter of Pipe=(Area of Partially Full Sewers/((pi/4)*((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))))^(1/2)

Can the Diameter of Pipe using Hydraulic Mean Depth be negative?

No, the Diameter of Pipe using Hydraulic Mean Depth, measured in Length cannot be negative.

Which unit is used to measure Diameter of Pipe using Hydraulic Mean Depth?

Diameter of Pipe using Hydraulic Mean Depth is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Pipe using Hydraulic Mean Depth can be measured.

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