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Diameter of Pipe given Hydraulic Gradient Formula

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

D pipe = {(\frac{v avg}{0.355 \cdot C \cdot {(S)}^{0.54}})}^{\frac{1}{0.63}}

D_pipe - Pipe Diameter?v_avg - Average Velocity in Pipe Fluid Flow?C - Coefficient of Roughness of Pipe?S - Hydraulic Gradient?

Diameter of Pipe given Hydraulic Gradient Example

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Here is how the Diameter of Pipe given Hydraulic Gradient equation looks like with Values.

Here is how the Diameter of Pipe given Hydraulic Gradient equation looks like with Units.

Here is how the Diameter of Pipe given Hydraulic Gradient equation looks like.

0.7997 = {(\frac{4.57}{0.355 \cdot 31.33 \cdot {(0.25)}^{0.54}})}^{\frac{1}{0.63}}

0.7997m = {(\frac{4.57m/s}{0.355 \cdot 31.33 \cdot {(0.25)}^{0.54}})}^{\frac{1}{0.63}}

0.7997 = {(\frac{4.57}{0.355 \cdot 31.33 \cdot {(0.25)}^{0.54}})}^{\frac{1}{0.63}}

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Diameter of Pipe given Hydraulic Gradient Solution

Follow our step by step solution on how to calculate Diameter of Pipe given Hydraulic Gradient?

FIRST Step Consider the formula

D pipe = {(\frac{v avg}{0.355 \cdot C \cdot {(S)}^{0.54}})}^{\frac{1}{0.63}}

Next Step Substitute values of Variables

∴

D pipe = {(\frac{4.57m/s}{0.355 \cdot 31.33 \cdot {(0.25)}^{0.54}})}^{\frac{1}{0.63}}

Next Step Prepare to Evaluate

∴

D pipe = {(\frac{4.57}{0.355 \cdot 31.33 \cdot {(0.25)}^{0.54}})}^{\frac{1}{0.63}}

Next Step Evaluate

∴

D pipe = 0.799687656902681m

LAST Step Rounding Answer

∴

D pipe = 0.7997m

Diameter of Pipe given Hydraulic Gradient Formula Elements

Variables

Pipe Diameter

Pipe Diameter 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 Pipe Diameter

Average Velocity in Pipe Fluid Flow

Average Velocity in Pipe Fluid Flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.

Symbol: v_avg

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Velocity in Pipe Fluid Flow

Coefficient of Roughness of Pipe

Coefficient of Roughness of Pipe is a dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Roughness of Pipe

Hydraulic Gradient

Hydraulic Gradient is a specific measurement of liquid pressure above a vertical datum.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Hydraulic Gradient

Other formulas in Hazen Williams Formula category

Go Mean Velocity of Flow in Pipe by Hazen Williams Formula

v avg = 0.85 \cdot C \cdot ({(R)}^{0.63}) \cdot {(S)}^{0.54}

Go Head Loss by Hazen Williams Formula

H L' = \frac{6.78 \cdot L p \cdot {v avg}^{1.85}}{({D p}^{1.165}) \cdot C^{1.85}}

Go Length of Pipe given Head Loss by Hazen Williams Formula

L p = \frac{h f}{\frac{6.78 \cdot {v avg}^{1.85}}{({D p}^{1.165}) \cdot C^{1.85}}}

Go Velocity of Flow given Head Loss by Hazen Williams Formula

v avg = {(\frac{h f}{\frac{6.78 \cdot L p}{({D p}^{1.165}) \cdot C^{1.85}}})}^{\frac{1}{1.85}}

How to Evaluate Diameter of Pipe given Hydraulic Gradient?

Diameter of Pipe given Hydraulic Gradient evaluator uses Pipe Diameter = (Average Velocity in Pipe Fluid Flow/(0.355*Coefficient of Roughness of Pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63) to evaluate the Pipe Diameter, The Diameter of Pipe given Hydraulic Gradient is defined as the value of diameter of pipe when we have prior information of hydraulic gradient. Pipe Diameter is denoted by D_pipe symbol.

How to evaluate Diameter of Pipe given Hydraulic Gradient using this online evaluator? To use this online evaluator for Diameter of Pipe given Hydraulic Gradient, enter Average Velocity in Pipe Fluid Flow (v_avg), Coefficient of Roughness of Pipe (C) & Hydraulic Gradient (S) and hit the calculate button.

FAQs on Diameter of Pipe given Hydraulic Gradient

What is the formula to find Diameter of Pipe given Hydraulic Gradient?

The formula of Diameter of Pipe given Hydraulic Gradient is expressed as Pipe Diameter = (Average Velocity in Pipe Fluid Flow/(0.355*Coefficient of Roughness of Pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63). Here is an example- 0.799688 = (4.57/(0.355*31.33*(0.25)^(0.54)))^(1/0.63).

How to calculate Diameter of Pipe given Hydraulic Gradient?

With Average Velocity in Pipe Fluid Flow (v_avg), Coefficient of Roughness of Pipe (C) & Hydraulic Gradient (S) we can find Diameter of Pipe given Hydraulic Gradient using the formula - Pipe Diameter = (Average Velocity in Pipe Fluid Flow/(0.355*Coefficient of Roughness of Pipe*(Hydraulic Gradient)^(0.54)))^(1/0.63).

Can the Diameter of Pipe given Hydraulic Gradient be negative?

No, the Diameter of Pipe given Hydraulic Gradient, measured in Length cannot be negative.

Which unit is used to measure Diameter of Pipe given Hydraulic Gradient?

Diameter of Pipe given Hydraulic Gradient 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 given Hydraulic Gradient can be measured.

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Diameter of Pipe given Hydraulic Gradient Formula

Diameter of Pipe given Hydraulic Gradient Example

Diameter of Pipe given Hydraulic Gradient Solution

Diameter of Pipe given Hydraulic Gradient Formula Elements

Other formulas in Hazen Williams Formula category

How to Evaluate Diameter of Pipe given Hydraulic Gradient?

FAQs on Diameter of Pipe given Hydraulic Gradient

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