Hydraulic Radius given Flow Velocity Calculator

✖Flow Velocity is the velocity of the flow of any fluid.ⓘ Flow Velocity [V_f]			+10% -10%
✖Roughness Coefficient of Conduit Surface is coefficient dependent on roughness of conduit surface.ⓘ Roughness Coefficient of Conduit Surface [n_c]			+10% -10%
✖Conversion factor is to account for change from metric units used in development of the formula.ⓘ Conversion factor [C]			+10% -10%
✖Energy loss is the loss of energy of flowing water.ⓘ Energy loss [S]			+10% -10%

✖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.ⓘ Hydraulic Radius given Flow Velocity [r_H]

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Formula

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Hydraulic Radius given Flow Velocity

Formula

`"r"_{"H"} = (("V"_{"f"}*"n"_{"c"})/("C"*"S"^(1/2)))^(3/2)`

Example

`"0.000862m"=(("1.12m/s"*"0.017")/("1.486"*("2J")^(1/2)))^(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) - 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.
Flow Velocity - (Measured in Meter per Second) - Flow Velocity is the velocity of the flow of any fluid.
Roughness Coefficient of Conduit Surface - Roughness Coefficient of Conduit Surface is coefficient dependent on roughness of conduit surface.
Conversion factor - Conversion factor is to account for change from metric units used in development of the formula.
Energy loss - (Measured in Joule) - Energy loss is the loss of energy of flowing water.

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: 1.486 --> 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)/(1.486*2^(1/2)))^(3/2)

Evaluating ... ...

r_H = 0.000862382043740737

STEP 3: Convert Result to Output's Unit

0.000862382043740737 Meter --> No Conversion Required

FINAL ANSWER

0.000862382043740737 ≈ 0.000862 Meter <-- Hydraulic Radius

(Calculation completed in 00.004 seconds)

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 8 Flow velocity in straight sewers Calculators

Conversion Factor given Flow Velocity

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

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

Velocity using Water Flow Equation

Go Flow Velocity = Water Flow/Cross-Sectional Area

Area given Water Flow Equation

Go Cross-Sectional Area = Water Flow/Flow Velocity

Water Flow Equation

Go Water Flow = Cross-Sectional Area*Flow Velocity

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 formula calculates 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)/(1.486*2^(1/2)))^(3/2).

FAQ

What is Hydraulic Radius given Flow Velocity?

The Hydraulic Radius given Flow Velocity formula calculates 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). Flow Velocity is the velocity of the flow of any fluid, Roughness Coefficient of Conduit Surface is coefficient dependent on roughness of conduit surface, Conversion factor is to account for change from metric units used in development of the formula & Energy loss is the loss of energy of flowing water.

How to calculate Hydraulic Radius given Flow Velocity?

The Hydraulic Radius given Flow Velocity formula calculates 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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