Coefficient Dependent on Pipe given Radius of Pipe Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Roughness of Pipe = ((6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/(((2*Pipe Radius)^(1.165))*Head Loss in Pipe))^(1/1.85)
C = ((6.78*Lp*vavg^(1.85))/(((2*R)^(1.165))*HL'))^(1/1.85)
This formula uses 5 Variables
Variables Used
Coefficient of Roughness of Pipe - Coefficient of Roughness of Pipe is a dimensionless parameter used in environmental engineering, particularly in fluid mechanics and hydraulics.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Average Velocity in Pipe Fluid Flow - (Measured in Meter per Second) - Average Velocity in Pipe Fluid Flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.
Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid is flowing.
Head Loss in Pipe - (Measured in Meter) - Head Loss in Pipe 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 pipe.
STEP 1: Convert Input(s) to Base Unit
Length of Pipe: 2.5 Meter --> 2.5 Meter No Conversion Required
Average Velocity in Pipe Fluid Flow: 4.57 Meter per Second --> 4.57 Meter per Second No Conversion Required
Pipe Radius: 200 Millimeter --> 0.2 Meter (Check conversion ​here)
Head Loss in Pipe: 1.4 Meter --> 1.4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = ((6.78*Lp*vavg^(1.85))/(((2*R)^(1.165))*HL'))^(1/1.85) --> ((6.78*2.5*4.57^(1.85))/(((2*0.2)^(1.165))*1.4))^(1/1.85)
Evaluating ... ...
C = 31.3284409010289
STEP 3: Convert Result to Output's Unit
31.3284409010289 --> No Conversion Required
FINAL ANSWER
31.3284409010289 31.32844 <-- Coefficient of Roughness of Pipe
(Calculation completed in 00.019 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Hazen Williams Formula Calculators

Head Loss by Hazen Williams Formula
​ LaTeX ​ Go Head Loss in Pipe = (6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/((Diameter of Pipe^(1.165))*Coefficient of Roughness of Pipe^(1.85))
Velocity of Flow given Head Loss by Hazen Williams Formula
​ LaTeX ​ Go Average Velocity in Pipe Fluid Flow = (Head Loss/((6.78*Length of Pipe)/((Diameter of Pipe^(1.165))*Coefficient of Roughness of Pipe^(1.85))))^(1/1.85)
Length of Pipe given Head Loss by Hazen Williams Formula
​ LaTeX ​ Go Length of Pipe = Head Loss/((6.78*Average Velocity in Pipe Fluid Flow^(1.85))/((Diameter of Pipe^(1.165))*Coefficient of Roughness of Pipe^(1.85)))
Mean Velocity of Flow in Pipe by Hazen Williams Formula
​ LaTeX ​ Go Average Velocity in Pipe Fluid Flow = 0.85*Coefficient of Roughness of Pipe*((Pipe Radius)^(0.63))*(Hydraulic Gradient)^(0.54)

Coefficient Dependent on Pipe given Radius of Pipe Formula

​LaTeX ​Go
Coefficient of Roughness of Pipe = ((6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/(((2*Pipe Radius)^(1.165))*Head Loss in Pipe))^(1/1.85)
C = ((6.78*Lp*vavg^(1.85))/(((2*R)^(1.165))*HL'))^(1/1.85)

What is Roughness Coefficient?

Roughness coefficient is based on the material of the pipe. For PVC pipe, the standard C value is 150. New steel pipe uses a C value of 140, but with use and corrosion a lower value is typically used.

How to Calculate Coefficient Dependent on Pipe given Radius of Pipe?

Coefficient Dependent on Pipe given Radius of Pipe calculator uses Coefficient of Roughness of Pipe = ((6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/(((2*Pipe Radius)^(1.165))*Head Loss in Pipe))^(1/1.85) to calculate the Coefficient of Roughness of Pipe, The Coefficient Dependent on Pipe given Radius of Pipe is defined as the value of roughness coefficient dependent on pipe when we have prior information of radius of pipe. Coefficient of Roughness of Pipe is denoted by C symbol.

How to calculate Coefficient Dependent on Pipe given Radius of Pipe using this online calculator? To use this online calculator for Coefficient Dependent on Pipe given Radius of Pipe, enter Length of Pipe (Lp), Average Velocity in Pipe Fluid Flow (vavg), Pipe Radius (R) & Head Loss in Pipe (HL') and hit the calculate button. Here is how the Coefficient Dependent on Pipe given Radius of Pipe calculation can be explained with given input values -> 31.32844 = ((6.78*2.5*4.57^(1.85))/(((2*0.2)^(1.165))*1.4))^(1/1.85).

FAQ

What is Coefficient Dependent on Pipe given Radius of Pipe?
The Coefficient Dependent on Pipe given Radius of Pipe is defined as the value of roughness coefficient dependent on pipe when we have prior information of radius of pipe and is represented as C = ((6.78*Lp*vavg^(1.85))/(((2*R)^(1.165))*HL'))^(1/1.85) or Coefficient of Roughness of Pipe = ((6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/(((2*Pipe Radius)^(1.165))*Head Loss in Pipe))^(1/1.85). Length of Pipe describes the length of the pipe in which the liquid is flowing, Average Velocity in Pipe Fluid Flow is the total volumetric flow rate divided by the cross-sectional area of the pipe, The Pipe Radius is the radius of the pipe through which the fluid is flowing & Head Loss in Pipe 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 pipe.
How to calculate Coefficient Dependent on Pipe given Radius of Pipe?
The Coefficient Dependent on Pipe given Radius of Pipe is defined as the value of roughness coefficient dependent on pipe when we have prior information of radius of pipe is calculated using Coefficient of Roughness of Pipe = ((6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/(((2*Pipe Radius)^(1.165))*Head Loss in Pipe))^(1/1.85). To calculate Coefficient Dependent on Pipe given Radius of Pipe, you need Length of Pipe (Lp), Average Velocity in Pipe Fluid Flow (vavg), Pipe Radius (R) & Head Loss in Pipe (HL'). With our tool, you need to enter the respective value for Length of Pipe, Average Velocity in Pipe Fluid Flow, Pipe Radius & Head Loss in Pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Coefficient of Roughness of Pipe?
In this formula, Coefficient of Roughness of Pipe uses Length of Pipe, Average Velocity in Pipe Fluid Flow, Pipe Radius & Head Loss in Pipe. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Coefficient of Roughness of Pipe = Average Velocity in Pipe Fluid Flow/(0.85*((Pipe Radius)^(0.63))*(Hydraulic Gradient)^(0.54))
  • Coefficient of Roughness of Pipe = Average Velocity in Pipe Fluid Flow/(0.355*((Pipe Diameter)^(0.63))*(Hydraulic Gradient)^(0.54))
  • Coefficient of Roughness of Pipe = ((6.78*Length of Pipe*Average Velocity in Pipe Fluid Flow^(1.85))/((Diameter of Pipe^(1.165))*Head Loss in Pipe))^(1/1.85)
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