Roughness Coefficient using Flow Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Roughness Coefficient of Conduit Surface = (Conversion factor*Hydraulic Radius^(2/3)*Energy loss^(1/2))/Flow Velocity
nc = (C*rH^(2/3)*S^(1/2))/Vf
This formula uses 5 Variables
Variables Used
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.
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.
Energy loss - (Measured in Joule) - Energy loss is the loss of energy of flowing water.
Flow Velocity - (Measured in Meter per Second) - Flow Velocity is the velocity of the flow of any fluid.
STEP 1: Convert Input(s) to Base Unit
Conversion factor: 1.486 --> No Conversion Required
Hydraulic Radius: 0.33 Meter --> 0.33 Meter No Conversion Required
Energy loss: 2 Joule --> 2 Joule No Conversion Required
Flow Velocity: 1.12 Meter per Second --> 1.12 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
nc = (C*rH^(2/3)*S^(1/2))/Vf --> (1.486*0.33^(2/3)*2^(1/2))/1.12
Evaluating ... ...
nc = 0.896035214323464
STEP 3: Convert Result to Output's Unit
0.896035214323464 --> No Conversion Required
FINAL ANSWER
0.896035214323464 0.896035 <-- Roughness Coefficient of Conduit Surface
(Calculation completed in 00.004 seconds)

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Indian Institute of Information Technology (IIIT), Bhopal
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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

Roughness Coefficient using Flow Velocity Formula

Roughness Coefficient of Conduit Surface = (Conversion factor*Hydraulic Radius^(2/3)*Energy loss^(1/2))/Flow Velocity
nc = (C*rH^(2/3)*S^(1/2))/Vf

What is the roughness coefficient?

A value used in Manning's formula to determine energy losses of flowing water due to pipe or channel wall roughness.

How to Calculate Roughness Coefficient using Flow Velocity?

Roughness Coefficient using Flow Velocity calculator uses Roughness Coefficient of Conduit Surface = (Conversion factor*Hydraulic Radius^(2/3)*Energy loss^(1/2))/Flow Velocity to calculate the Roughness Coefficient of Conduit Surface, The Roughness Coefficient using Flow Velocity formula calculates the roughness coefficient of the pipe material when we have prior info of the rate of flow of water, energy loss, and hydraulic radius. Roughness Coefficient of Conduit Surface is denoted by nc symbol.

How to calculate Roughness Coefficient using Flow Velocity using this online calculator? To use this online calculator for Roughness Coefficient using Flow Velocity, enter Conversion factor (C), Hydraulic Radius (rH), Energy loss (S) & Flow Velocity (Vf) and hit the calculate button. Here is how the Roughness Coefficient using Flow Velocity calculation can be explained with given input values -> 0.896035 = (1.486*0.33^(2/3)*2^(1/2))/1.12.

FAQ

What is Roughness Coefficient using Flow Velocity?
The Roughness Coefficient using Flow Velocity formula calculates the roughness coefficient of the pipe material when we have prior info of the rate of flow of water, energy loss, and hydraulic radius and is represented as nc = (C*rH^(2/3)*S^(1/2))/Vf or Roughness Coefficient of Conduit Surface = (Conversion factor*Hydraulic Radius^(2/3)*Energy loss^(1/2))/Flow Velocity. Conversion factor is to account for change from metric units used in development of the formula, 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, Energy loss is the loss of energy of flowing water & Flow Velocity is the velocity of the flow of any fluid.
How to calculate Roughness Coefficient using Flow Velocity?
The Roughness Coefficient using Flow Velocity formula calculates the roughness coefficient of the pipe material when we have prior info of the rate of flow of water, energy loss, and hydraulic radius is calculated using Roughness Coefficient of Conduit Surface = (Conversion factor*Hydraulic Radius^(2/3)*Energy loss^(1/2))/Flow Velocity. To calculate Roughness Coefficient using Flow Velocity, you need Conversion factor (C), Hydraulic Radius (rH), Energy loss (S) & Flow Velocity (Vf). With our tool, you need to enter the respective value for Conversion factor, Hydraulic Radius, Energy loss & Flow Velocity 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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