Velocity of Flow Fields Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
vm = sqrt(Hf/((1-Ke)/((2*[g]))+(((n)^2)*l)/(2.21*rh^1.33333)))
This formula uses 1 Constants, 1 Functions, 6 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Head Loss of Friction: 0.8027 Meter --> 0.8027 Meter No Conversion Required
Entrance Loss Coefficient: 0.85 --> No Conversion Required
Manning’s Roughness Coefficient: 0.012 --> No Conversion Required
Length of Culverts: 3 Meter --> 3 Meter No Conversion Required
Hydraulic Radius of Channel: 0.609 Meter --> 0.609 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vm = sqrt(Hf/((1-Ke)/((2*[g]))+(((n)^2)*l)/(2.21*rh^1.33333))) --> sqrt(0.8027/((1-0.85)/((2*[g]))+(((0.012)^2)*3)/(2.21*0.609^1.33333)))
Evaluating ... ...
vm = 10.0002818573788
STEP 3: Convert Result to Output's Unit
10.0002818573788 Meter per Second --> No Conversion Required
FINAL ANSWER
10.0002818573788 10.00028 Meter per Second <-- Mean Velocity of Culverts
(Calculation completed in 00.020 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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5 Entrance and Exit Submerged Calculators

Length of Culvert given Velocity of Flow Fields
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
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])))
Hydraulic Radius of Culvert given Velocity of Flow Fields
Go 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
Head Loss in Flow
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
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)))

Velocity of Flow Fields Formula

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)))
vm = sqrt(Hf/((1-Ke)/((2*[g]))+(((n)^2)*l)/(2.21*rh^1.33333)))

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 Velocity of Flow Fields?

Velocity of Flow Fields calculator uses 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))) to calculate the Mean Velocity of Culverts, The Velocity of Flow Fields formula is defined as rate at which water is flowing in the channel from head to tail. Mean Velocity of Culverts is denoted by vm symbol.

How to calculate Velocity of Flow Fields using this online calculator? To use this online calculator for Velocity of Flow Fields, enter Head Loss of Friction (Hf), Entrance Loss Coefficient (Ke), Manning’s Roughness Coefficient (n), Length of Culverts (l) & Hydraulic Radius of Channel (rh) and hit the calculate button. Here is how the Velocity of Flow Fields calculation can be explained with given input values -> 10.00028 = sqrt(0.8027/((1-0.85)/((2*[g]))+(((0.012)^2)*3)/(2.21*0.609^1.33333))).

FAQ

What is Velocity of Flow Fields?
The Velocity of Flow Fields formula is defined as rate at which water is flowing in the channel from head to tail and is represented as vm = sqrt(Hf/((1-Ke)/((2*[g]))+(((n)^2)*l)/(2.21*rh^1.33333))) or 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))). 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, 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 & 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.
How to calculate Velocity of Flow Fields?
The Velocity of Flow Fields formula is defined as rate at which water is flowing in the channel from head to tail is calculated using 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))). To calculate Velocity of Flow Fields, you need Head Loss of Friction (Hf), Entrance Loss Coefficient (Ke), Manning’s Roughness Coefficient (n), Length of Culverts (l) & Hydraulic Radius of Channel (rh). With our tool, you need to enter the respective value for Head Loss of Friction, Entrance Loss Coefficient, Manning’s Roughness Coefficient, Length of Culverts & Hydraulic Radius of Channel 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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