Hydraulic Radius of Culvert given Velocity of Flow Fields Calculator

✖Mean Velocity of Culverts is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity of Culverts [v_m]			+10% -10%
✖Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.ⓘ Manning’s Roughness Coefficient [n]			+10% -10%
✖Length of Culverts is the measurement or extent of culverts from end to end.ⓘ Length of Culverts [l]			+10% -10%
✖Head Loss of Friction is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.ⓘ Head Loss of Friction [H_f]			+10% -10%
✖Entrance Loss Coefficient is defined as the amount of head lost at entrance.ⓘ Entrance Loss Coefficient [K_e]			+10% -10%

✖Hydraulic Radius of Channel 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 of Culvert given Velocity of Flow Fields [r_h]

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Hydraulic Radius of Culvert given Velocity of Flow Fields Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Radius of Channel = ((((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*(Head Loss of Friction-(1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))))^0.75
r_h = ((((v_m*n)^2)*l)/(2.21*(H_f-(1-K_e)*(v_m*v_m/(2*[g])))))^0.75
This formula uses 1 Constants, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Hydraulic Radius of Channel - (Measured in Meter) - Hydraulic Radius of Channel 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.
Mean Velocity of Culverts - (Measured in Meter per Second) - Mean Velocity of Culverts is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.
Length of Culverts - (Measured in Meter) - Length of Culverts is the measurement or extent of culverts from end to end.
Head Loss of Friction - (Measured in Meter) - Head Loss of Friction is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.
Entrance Loss Coefficient - Entrance Loss Coefficient is defined as the amount of head lost at entrance.

STEP 1: Convert Input(s) to Base Unit

Mean Velocity of Culverts: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Manning’s Roughness Coefficient: 0.012 --> No Conversion Required
Length of Culverts: 3 Meter --> 3 Meter No Conversion Required
Head Loss of Friction: 0.8027 Meter --> 0.8027 Meter No Conversion Required
Entrance Loss Coefficient: 0.85 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_h = ((((v_m*n)^2)*l)/(2.21*(H_f-(1-K_e)*(v_m*v_m/(2*[g])))))^0.75 --> ((((10*0.012)^2)*3)/(2.21*(0.8027-(1-0.85)*(10*10/(2*[g])))))^0.75

Evaluating ... ...

r_h = 0.608455560024404

STEP 3: Convert Result to Output's Unit

0.608455560024404 Meter --> No Conversion Required

FINAL ANSWER

0.608455560024404 ≈ 0.608456 Meter <-- Hydraulic Radius of Channel

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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NSS College of Engineering (NSSCE), Palakkad

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< Entrance and Exit Submerged Calculators

Length of Culvert given Velocity of Flow Fields

LaTeX Go Length of Culverts = (Head Loss of Friction-(1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))/((((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2))/(2.21*Hydraulic Radius of Channel^1.33333))

Entrance Loss Coefficient given Velocity of Flow Fields

LaTeX Go Entrance Loss Coefficient = 1-((Head Loss of Friction-(((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*Hydraulic Radius of Channel^1.33333))/(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))

Head Loss in Flow

LaTeX Go Head Loss of Friction = (1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))+(((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*Hydraulic Radius of Channel^1.33333)

Velocity of Flow Fields

LaTeX Go Mean Velocity of Culverts = sqrt(Head Loss of Friction/((1-Entrance Loss Coefficient)/((2*[g]))+(((Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*Hydraulic Radius of Channel^1.33333)))

Hydraulic Radius of Culvert given Velocity of Flow Fields Formula

LaTeX Go

What are Culverts?

A culvert is a structure that allows water to flow under a road, railroad, trail, or similar obstruction from one side to the other. Typically embedded so as to be surrounded by soil, a culvert may be made from a pipe, reinforced concrete or other material.

How to Calculate Hydraulic Radius of Culvert given Velocity of Flow Fields?

Hydraulic Radius of Culvert given Velocity of Flow Fields calculator uses Hydraulic Radius of Channel = ((((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*(Head Loss of Friction-(1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))))^0.75 to calculate the Hydraulic Radius of Channel, Hydraulic Radius of Culvert given Velocity of Flow Fields is defined as ratio of wetted area to wetted perimeter. Hydraulic Radius of Channel is denoted by r_h symbol.

How to calculate Hydraulic Radius of Culvert given Velocity of Flow Fields using this online calculator? To use this online calculator for Hydraulic Radius of Culvert given Velocity of Flow Fields, enter Mean Velocity of Culverts (v_m), Manning’s Roughness Coefficient (n), Length of Culverts (l), Head Loss of Friction (H_f) & Entrance Loss Coefficient (K_e) and hit the calculate button. Here is how the Hydraulic Radius of Culvert given Velocity of Flow Fields calculation can be explained with given input values -> 0.608456 = ((((10*0.012)^2)*3)/(2.21*(0.8027-(1-0.85)*(10*10/(2*[g])))))^0.75.

FAQ

What is Hydraulic Radius of Culvert given Velocity of Flow Fields?

Hydraulic Radius of Culvert given Velocity of Flow Fields is defined as ratio of wetted area to wetted perimeter and is represented as r_h = ((((v_m*n)^2)*l)/(2.21*(H_f-(1-K_e)*(v_m*v_m/(2*[g])))))^0.75 or Hydraulic Radius of Channel = ((((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*(Head Loss of Friction-(1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))))^0.75. Mean Velocity of Culverts is defined as the average velocity of a fluid at a point and over an arbitrary time T, Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel, Length of Culverts is the measurement or extent of culverts from end to end, Head Loss of Friction is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system & Entrance Loss Coefficient is defined as the amount of head lost at entrance.

How to calculate Hydraulic Radius of Culvert given Velocity of Flow Fields?

Hydraulic Radius of Culvert given Velocity of Flow Fields is defined as ratio of wetted area to wetted perimeter is calculated using Hydraulic Radius of Channel = ((((Mean Velocity of Culverts*Manning’s Roughness Coefficient)^2)*Length of Culverts)/(2.21*(Head Loss of Friction-(1-Entrance Loss Coefficient)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))))^0.75. To calculate Hydraulic Radius of Culvert given Velocity of Flow Fields, you need Mean Velocity of Culverts (v_m), Manning’s Roughness Coefficient (n), Length of Culverts (l), Head Loss of Friction (H_f) & Entrance Loss Coefficient (K_e). With our tool, you need to enter the respective value for Mean Velocity of Culverts, Manning’s Roughness Coefficient, Length of Culverts, Head Loss of Friction & Entrance Loss Coefficient 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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