Energy Loss given Flow Quantity for Full Flowing Sewer Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy loss = (((Water Flow*Manning’s Roughness Coefficient)/(0.463*Inner Diameter of Sewer^(8/3)))^2)
S = (((Q*n)/(0.463*Dis^(8/3)))^2)
This formula uses 4 Variables
Variables Used
Energy loss - (Measured in Joule) - Energy loss is the loss of energy of flowing water.
Water Flow - (Measured in Cubic Meter per Second) - Water Flow is rate of flow of water.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.
Inner Diameter of Sewer - (Measured in Meter) - Inner Diameter of Sewer is calculated by subtracting twice the sewer's wall thickness from the total external diameter.
STEP 1: Convert Input(s) to Base Unit
Water Flow: 1.8 Cubic Meter per Second --> 1.8 Cubic Meter per Second No Conversion Required
Manning’s Roughness Coefficient: 0.012 --> No Conversion Required
Inner Diameter of Sewer: 150 Millimeter --> 0.15 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (((Q*n)/(0.463*Dis^(8/3)))^2) --> (((1.8*0.012)/(0.463*0.15^(8/3)))^2)
Evaluating ... ...
S = 53.941804658743
STEP 3: Convert Result to Output's Unit
53.941804658743 Joule --> No Conversion Required
FINAL ANSWER
53.941804658743 53.9418 Joule <-- Energy loss
(Calculation completed in 00.007 seconds)

Credits

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Created by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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8 Required flow velocity Calculators

Inside Diameter given Full Flow Velocity in Sewer
​ Go Inner Diameter = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(0.59*Energy loss^(1/2)))^(3/2)
Inside Diameter given Flow Quantity for Full Flowing Sewer
​ Go Inner Diameter = ((Water Flow*Roughness Coefficient of Conduit Surface)/(0.463*Energy loss^(1/2)))^(3/8)
Energy Loss given Flow Quantity for Full Flowing Sewer
​ Go Energy loss = (((Water Flow*Manning’s Roughness Coefficient)/(0.463*Inner Diameter of Sewer^(8/3)))^2)
Coefficient of Roughness given Full Flow Velocity in Sewer
​ Go Roughness Coefficient of Conduit Surface = (0.59*Inner Diameter^(2/3)*Energy loss^(1/2))/Flow Velocity
Energy Loss given Full Flow Velocity in Sewer
​ Go Energy loss = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(0.59*Inner Diameter^(2/3)))^2
Full flow velocity in sewer
​ Go Flow Velocity = (0.59*Inner Diameter^(2/3)*Energy loss^(1/2))/Roughness Coefficient of Conduit Surface
Coefficient of roughness given flow quantity of full flowing sewer
​ Go Roughness Coefficient of Conduit Surface = (0.463*Energy loss^(1/2)*Inner Diameter^(8/3))/Water Flow
Flow Quantity for Full Flowing Sewer
​ Go Water Flow = (0.463*Energy loss^(1/2)*Inner Diameter^(8/3))/Roughness Coefficient of Conduit Surface

Energy Loss given Flow Quantity for Full Flowing Sewer Formula

Energy loss = (((Water Flow*Manning’s Roughness Coefficient)/(0.463*Inner Diameter of Sewer^(8/3)))^2)
S = (((Q*n)/(0.463*Dis^(8/3)))^2)

What is pipe roughness coefficient?

Roughness coefficient is a value used in Manning's formula to determine energy losses of flowing water due to pipe or channel wall roughness.It is based on the material of the pipe. New steel pipe uses a C value of 140, but with use and corrosion a lower value is typically used. For HDPE pipe, a range of C values between 150 and 160 is typical.

How to Calculate Energy Loss given Flow Quantity for Full Flowing Sewer?

Energy Loss given Flow Quantity for Full Flowing Sewer calculator uses Energy loss = (((Water Flow*Manning’s Roughness Coefficient)/(0.463*Inner Diameter of Sewer^(8/3)))^2) to calculate the Energy loss, The Energy Loss given Flow Quantity for Full Flowing Sewer calculates energy loss when we have a prior info of the flow quantity , the roughness coefficient and inner diameter of the pipe. Energy loss is denoted by S symbol.

How to calculate Energy Loss given Flow Quantity for Full Flowing Sewer using this online calculator? To use this online calculator for Energy Loss given Flow Quantity for Full Flowing Sewer, enter Water Flow (Q), Manning’s Roughness Coefficient (n) & Inner Diameter of Sewer (Dis) and hit the calculate button. Here is how the Energy Loss given Flow Quantity for Full Flowing Sewer calculation can be explained with given input values -> 53.9418 = (((1.8*0.012)/(0.463*0.15^(8/3)))^2).

FAQ

What is Energy Loss given Flow Quantity for Full Flowing Sewer?
The Energy Loss given Flow Quantity for Full Flowing Sewer calculates energy loss when we have a prior info of the flow quantity , the roughness coefficient and inner diameter of the pipe and is represented as S = (((Q*n)/(0.463*Dis^(8/3)))^2) or Energy loss = (((Water Flow*Manning’s Roughness Coefficient)/(0.463*Inner Diameter of Sewer^(8/3)))^2). Water Flow is rate of flow of water, Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel & Inner Diameter of Sewer is calculated by subtracting twice the sewer's wall thickness from the total external diameter.
How to calculate Energy Loss given Flow Quantity for Full Flowing Sewer?
The Energy Loss given Flow Quantity for Full Flowing Sewer calculates energy loss when we have a prior info of the flow quantity , the roughness coefficient and inner diameter of the pipe is calculated using Energy loss = (((Water Flow*Manning’s Roughness Coefficient)/(0.463*Inner Diameter of Sewer^(8/3)))^2). To calculate Energy Loss given Flow Quantity for Full Flowing Sewer, you need Water Flow (Q), Manning’s Roughness Coefficient (n) & Inner Diameter of Sewer (Dis). With our tool, you need to enter the respective value for Water Flow, Manning’s Roughness Coefficient & Inner Diameter of Sewer 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 Energy loss?
In this formula, Energy loss uses Water Flow, Manning’s Roughness Coefficient & Inner Diameter of Sewer. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Energy loss = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(0.59*Inner Diameter^(2/3)))^2
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