Length of Pipe given Head loss Solution

STEP 0: Pre-Calculation Summary
Formula Used
Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of flow*Viscous Force head loss)
s = hf*γ*pi*(dpipe^4)/(128*Q*μ)
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Change in Drawdown - (Measured in Meter) - Change in Drawdown in the Aquifer is a term applied to the maximum lowering of the groundwater table caused by pumping or artesian flow.
Head loss - (Measured in Meter) - Head loss 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.
Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight is defined as weight per unit volume.
Pipe Diameter - (Measured in Meter) - Pipe Diameter is the diameter of the pipe in which the liquid is flowing.
Rate of flow - (Measured in Cubic Meter per Second) - Rate of flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.
Viscous Force head loss - (Measured in Newton) - Viscous Force head loss is the force between a body and a fluid (liquid or gas) moving past it, in a direction so as to oppose the flow of the fluid past the object.
STEP 1: Convert Input(s) to Base Unit
Head loss: 1.2 Meter --> 1.2 Meter No Conversion Required
Specific Weight: 92.6 Newton per Cubic Meter --> 92.6 Newton per Cubic Meter No Conversion Required
Pipe Diameter: 1.01 Meter --> 1.01 Meter No Conversion Required
Rate of flow: 13.5 Cubic Meter per Second --> 13.5 Cubic Meter per Second No Conversion Required
Viscous Force head loss: 94.2 Newton --> 94.2 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = hf*γ*pi*(dpipe^4)/(128*Q*μ) --> 1.2*92.6*pi*(1.01^4)/(128*13.5*94.2)
Evaluating ... ...
s = 0.00223168533523663
STEP 3: Convert Result to Output's Unit
0.00223168533523663 Meter --> No Conversion Required
FINAL ANSWER
0.00223168533523663 0.002232 Meter <-- Change in Drawdown
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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12 Pipes Calculators

Diameter of Pipe given Head Loss due to Laminar Flow
Go Diameter of Pipe = ((128*Viscous Force head loss*Rate of flow*Change in Drawdown)/(Specific weight of liquid*pi*Head loss))^(1/4)
Viscous Force using Head loss Due to Laminar Flow
Go Viscous Force head loss = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of flow*Change in Drawdown)
Length of Pipe given Head loss
Go Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of flow*Viscous Force head loss)
Head Loss due to Laminar Flow
Go Head loss = (128*Viscous Force head loss*Rate of flow*Change in Drawdown)/(pi*Specific Weight*Pipe Diameter^4)
Heat Loss due to Pipe
Go Heat Loss due to Pipe = (Force*Length*Fluid Velocity^2)/(2*Diameter*Acceleration Due To Gravity)
Depth of Centroid given Total Hydrostatic Force
Go Depth of Centroid = Hydrostatic Force/(Specific Weight 1*Surface area)
Head Loss using Efficiency of Hydraulic Transmission
Go Head loss = Total Head at Entrance-Efficiency*Total Head at Entrance
Viscous Stress
Go Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness
Barlow's Formula for Pipe
Go Pressure = (2*Applied stress*Wall Thickness)/(Outside Diameter)
Coefficient of Discharge at Venacontracta of Orifice
Go Coefficient of Discharge = Coefficient of Contraction*Coefficient of Velocity
Viscous Force Per Unit Area
Go Viscous Force = Force/Area
Frictional Factor of Laminar flow
Go Friction factor = 64/Reynolds Number

Length of Pipe given Head loss Formula

Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of flow*Viscous Force head loss)
s = hf*γ*pi*(dpipe^4)/(128*Q*μ)

What is head loss?

Head loss is potential energy that is converted to kinetic energy. Head losses are due to the frictional resistance of the piping system. Unlike velocity head, friction head cannot be ignored in system calculations. Values vary as the square of the flow rate.

How to Calculate Length of Pipe given Head loss?

Length of Pipe given Head loss calculator uses Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of flow*Viscous Force head loss) to calculate the Change in Drawdown, The Length of Pipe given Head loss formula is defined as the length of the pipe in which the given liquid is flowing. Change in Drawdown is denoted by s symbol.

How to calculate Length of Pipe given Head loss using this online calculator? To use this online calculator for Length of Pipe given Head loss, enter Head loss (hf), Specific Weight (γ), Pipe Diameter (dpipe), Rate of flow (Q) & Viscous Force head loss (μ) and hit the calculate button. Here is how the Length of Pipe given Head loss calculation can be explained with given input values -> 0.002232 = 1.2*92.6*pi*(1.01^4)/(128*13.5*94.2).

FAQ

What is Length of Pipe given Head loss?
The Length of Pipe given Head loss formula is defined as the length of the pipe in which the given liquid is flowing and is represented as s = hf*γ*pi*(dpipe^4)/(128*Q*μ) or Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of flow*Viscous Force head loss). Head loss 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, Specific Weight is defined as weight per unit volume, Pipe Diameter is the diameter of the pipe in which the liquid is flowing, Rate of flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc & Viscous Force head loss is the force between a body and a fluid (liquid or gas) moving past it, in a direction so as to oppose the flow of the fluid past the object.
How to calculate Length of Pipe given Head loss?
The Length of Pipe given Head loss formula is defined as the length of the pipe in which the given liquid is flowing is calculated using Change in Drawdown = Head loss*Specific Weight*pi*(Pipe Diameter^4)/(128*Rate of flow*Viscous Force head loss). To calculate Length of Pipe given Head loss, you need Head loss (hf), Specific Weight (γ), Pipe Diameter (dpipe), Rate of flow (Q) & Viscous Force head loss (μ). With our tool, you need to enter the respective value for Head loss, Specific Weight, Pipe Diameter, Rate of flow & Viscous Force head loss 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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