Hydraulic Radius given Flow Velocity Calculator

✖The Flow Velocity refers to the speed at which a fluid (such as water) moves through a specific cross-section.ⓘ Flow Velocity [V_f]			+10% -10%
✖The Roughness Coefficient of Conduit Surface refers to the roughness or irregularity of the inner surface of a conduit through which fluid flows.ⓘ Roughness Coefficient of Conduit Surface [n_c]			+10% -10%
✖Conversion Factor is a numerical coefficient used to convert one set of units to another.ⓘ Conversion Factor [C]			+10% -10%
✖The Energy Loss refers to the dissipation or reduction of energy within a system or process.ⓘ Energy Loss [S]			+10% -10%

✖The Hydraulic Radius refers to the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.ⓘ Hydraulic Radius given Flow Velocity [r_H]

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Formula

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Hydraulic Radius given Flow Velocity

Formula

r H = {(\frac{V f \cdot n c}{C \cdot S^{\frac{1}{2}}})}^{\frac{3}{2}}

Example

0.333419 m = {(\frac{1.12 m/s \cdot 0.017}{0.028 \cdot {2 J}^{\frac{1}{2}}})}^{\frac{3}{2}}

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Hydraulic Radius given Flow Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Radius = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Energy Loss^(1/2)))^(3/2)
r_H = ((V_f*n_c)/(C*S^(1/2)))^(3/2)
This formula uses 5 Variables

Variables Used

Hydraulic Radius - (Measured in Meter) - The Hydraulic Radius refers to the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.
Flow Velocity - (Measured in Meter per Second) - The Flow Velocity refers to the speed at which a fluid (such as water) moves through a specific cross-section.
Roughness Coefficient of Conduit Surface - The Roughness Coefficient of Conduit Surface refers to the roughness or irregularity of the inner surface of a conduit through which fluid flows.
Conversion Factor - Conversion Factor is a numerical coefficient used to convert one set of units to another.
Energy Loss - (Measured in Joule) - The Energy Loss refers to the dissipation or reduction of energy within a system or process.

STEP 1: Convert Input(s) to Base Unit

Flow Velocity: 1.12 Meter per Second --> 1.12 Meter per Second No Conversion Required
Roughness Coefficient of Conduit Surface: 0.017 --> No Conversion Required
Conversion Factor: 0.028 --> No Conversion Required
Energy Loss: 2 Joule --> 2 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_H = ((V_f*n_c)/(C*S^(1/2)))^(3/2) --> ((1.12*0.017)/(0.028*2^(1/2)))^(3/2)

Evaluating ... ...

r_H = 0.333419405120674

STEP 3: Convert Result to Output's Unit

0.333419405120674 Meter --> No Conversion Required

FINAL ANSWER

0.333419405120674 ≈ 0.333419 Meter <-- Hydraulic Radius

(Calculation completed in 00.020 seconds)

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Indian Institute of Information Technology (IIIT), Bhopal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Flow Velocity in Straight Sewers Calculators

Hydraulic Radius given Flow Velocity

Go Hydraulic Radius = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Energy Loss^(1/2)))^(3/2)

Roughness Coefficient using Flow Velocity

Go Roughness Coefficient of Conduit Surface = (Conversion Factor*Hydraulic Radius^(2/3)*Energy Loss^(1/2))/Flow Velocity

Flow Velocity using Manning's formula

Go Flow Velocity = (Conversion Factor*Hydraulic Radius^(2/3)*Energy Loss^(1/2))/Roughness Coefficient of Conduit Surface

Energy Loss given Flow Velocity

Go Energy Loss = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Hydraulic Radius^(2/3)))^2

Hydraulic Radius given Flow Velocity Formula

Hydraulic Radius = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Energy Loss^(1/2)))^(3/2)
r_H = ((V_f*n_c)/(C*S^(1/2)))^(3/2)

What is Hydraulic Radius?

Hydraulic radius is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.

How to Calculate Hydraulic Radius given Flow Velocity?

Hydraulic Radius given Flow Velocity calculator uses Hydraulic Radius = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Energy Loss^(1/2)))^(3/2) to calculate the Hydraulic Radius, The Hydraulic Radius given Flow Velocity is defined as the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit when we have a prior info of the flow velocity. Hydraulic Radius is denoted by r_H symbol.

How to calculate Hydraulic Radius given Flow Velocity using this online calculator? To use this online calculator for Hydraulic Radius given Flow Velocity, enter Flow Velocity (V_f), Roughness Coefficient of Conduit Surface (n_c), Conversion Factor (C) & Energy Loss (S) and hit the calculate button. Here is how the Hydraulic Radius given Flow Velocity calculation can be explained with given input values -> 0.000862 = ((1.12*0.017)/(0.028*2^(1/2)))^(3/2).

FAQ

What is Hydraulic Radius given Flow Velocity?

The Hydraulic Radius given Flow Velocity is defined as the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit when we have a prior info of the flow velocity and is represented as r_H = ((V_f*n_c)/(C*S^(1/2)))^(3/2) or Hydraulic Radius = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Energy Loss^(1/2)))^(3/2). The Flow Velocity refers to the speed at which a fluid (such as water) moves through a specific cross-section, The Roughness Coefficient of Conduit Surface refers to the roughness or irregularity of the inner surface of a conduit through which fluid flows, Conversion Factor is a numerical coefficient used to convert one set of units to another & The Energy Loss refers to the dissipation or reduction of energy within a system or process.

How to calculate Hydraulic Radius given Flow Velocity?

The Hydraulic Radius given Flow Velocity is defined as the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit when we have a prior info of the flow velocity is calculated using Hydraulic Radius = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Energy Loss^(1/2)))^(3/2). To calculate Hydraulic Radius given Flow Velocity, you need Flow Velocity (V_f), Roughness Coefficient of Conduit Surface (n_c), Conversion Factor (C) & Energy Loss (S). With our tool, you need to enter the respective value for Flow Velocity, Roughness Coefficient of Conduit Surface, Conversion Factor & Energy Loss 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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