Length of Pipe given Head Loss due to Frictional Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2)
Lp = (hlocation*2*[g]*Dpipe)/(f*Vmean*2)
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Darcy Friction Factor - Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
STEP 1: Convert Input(s) to Base Unit
Head Loss due to Friction: 1.9 Meter --> 1.9 Meter No Conversion Required
Diameter of Pipe: 1.01 Meter --> 1.01 Meter No Conversion Required
Darcy Friction Factor: 5 --> No Conversion Required
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lp = (hlocation*2*[g]*Dpipe)/(f*Vmean*2) --> (1.9*2*[g]*1.01)/(5*10.1*2)
Evaluating ... ...
Lp = 0.3726527
STEP 3: Convert Result to Output's Unit
0.3726527 Meter --> No Conversion Required
FINAL ANSWER
0.3726527 0.372653 Meter <-- Length of Pipe
(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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14 Darcy – Weisbach Equation Calculators

Diameter of Pipe given Head Loss due to Frictional Resistance
Go Diameter of Pipe = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Head Loss due to Friction)
Length of Pipe given Head Loss due to Frictional Resistance
Go Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2)
Head Loss due to Frictional Resistance
Go Head Loss due to Friction = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Diameter of Pipe)
Diameter of Pipe given Friction Factor
Go Diameter of Pipe = (64*Dynamic Viscosity)/(Darcy Friction Factor*Mean Velocity*Density of Fluid)
Dynamic Viscosity given Friction Factor
Go Dynamic Viscosity = (Darcy Friction Factor*Mean Velocity*Diameter of Pipe*Density of Fluid)/64
Density of Fluid given Friction Factor
Go Density of Fluid = Dynamic Viscosity*64/(Darcy Friction Factor*Diameter of Pipe*Mean Velocity)
Density of Liquid given Shear Stress and Darcy Friction Factor
Go Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*Mean Velocity*Mean Velocity)
Pressure Gradient given Total Required Power
Go Pressure Gradient = Power/(Length of Pipe*Cross Sectional Area of Pipe*Mean Velocity)
Area of Pipe given Total Required Power
Go Cross Sectional Area of Pipe = Power/(Length of Pipe*Pressure Gradient*Mean Velocity)
Shear Stress given Friction Factor and Density
Go Shear Stress = Density of Fluid*Darcy Friction Factor*Mean Velocity*Mean Velocity/8
Total Required Power
Go Power = Pressure Gradient*Cross Sectional Area of Pipe*Mean Velocity*Length of Pipe
Density of Liquid using Mean Velocity given Shear Stress with Friction Factor
Go Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*(Mean Velocity^2))
Shear Velocity
Go Shear Velocity = Mean Velocity*sqrt(Darcy Friction Factor/8)
Reynolds Number given Friction Factor
Go Reynolds Number = 64/Darcy Friction Factor

Length of Pipe given Head Loss due to Frictional Resistance Formula

Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2)
Lp = (hlocation*2*[g]*Dpipe)/(f*Vmean*2)

What is 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. Head loss is unavoidable in real fluids. Frictional loss is that part of the total head loss that occurs as the fluid flows through straight pipes.

How to Calculate Length of Pipe given Head Loss due to Frictional Resistance?

Length of Pipe given Head Loss due to Frictional Resistance calculator uses Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2) to calculate the Length of Pipe, Length of Pipe given Head Loss due to Frictional Resistance is defined as the total amount of energy lost due to the roughness of pipe through the total length of pipe. Length of Pipe is denoted by Lp symbol.

How to calculate Length of Pipe given Head Loss due to Frictional Resistance using this online calculator? To use this online calculator for Length of Pipe given Head Loss due to Frictional Resistance, enter Head Loss due to Friction (hlocation), Diameter of Pipe (Dpipe), Darcy Friction Factor (f) & Mean Velocity (Vmean) and hit the calculate button. Here is how the Length of Pipe given Head Loss due to Frictional Resistance calculation can be explained with given input values -> 0.568786 = (1.9*2*[g]*1.01)/(5*10.1*2).

FAQ

What is Length of Pipe given Head Loss due to Frictional Resistance?
Length of Pipe given Head Loss due to Frictional Resistance is defined as the total amount of energy lost due to the roughness of pipe through the total length of pipe and is represented as Lp = (hlocation*2*[g]*Dpipe)/(f*Vmean*2) or Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2). The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct, Diameter of Pipe is the diameter of the pipe in which the liquid is flowing, Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart & Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
How to calculate Length of Pipe given Head Loss due to Frictional Resistance?
Length of Pipe given Head Loss due to Frictional Resistance is defined as the total amount of energy lost due to the roughness of pipe through the total length of pipe is calculated using Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2). To calculate Length of Pipe given Head Loss due to Frictional Resistance, you need Head Loss due to Friction (hlocation), Diameter of Pipe (Dpipe), Darcy Friction Factor (f) & Mean Velocity (Vmean). With our tool, you need to enter the respective value for Head Loss due to Friction, Diameter of Pipe, Darcy Friction Factor & Mean 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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