Length of Pipe given Potential Head Drop Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Pipe = (Head Loss due to Friction*Specific Weight of Liquid*(Diameter of Section^2))/(3*Dynamic Viscosity*Mean Velocity)
Lp = (hlocation*γf*(dsection^2))/(3*μviscosity*Vmean)
This formula uses 6 Variables
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.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
Diameter of Section - (Measured in Meter) - Diameter of Section is the diameter of the circular cross-section of the beam.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
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
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Diameter of Section: 5 Meter --> 5 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Mean Velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lp = (hlocationf*(dsection^2))/(3*μviscosity*Vmean) --> (1.9*9810*(5^2))/(3*1.02*10)
Evaluating ... ...
Lp = 15227.9411764706
STEP 3: Convert Result to Output's Unit
15227.9411764706 Meter --> No Conversion Required
FINAL ANSWER
15227.9411764706 15227.94 Meter <-- Length of Pipe
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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18 Laminar Flow of Fluid in an Open Channel Calculators

Slope of Channel given Mean Velocity of Flow
Go Slope of Surface of Constant Pressure = (Dynamic Viscosity*Mean Velocity)/((Diameter of Section*Horizontal Distance-(Horizontal Distance^2)/2)*Specific Weight of Liquid)
Diameter of Section given Mean Velocity of Flow
Go Diameter of Section = ((Horizontal Distance^2+(-Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance
Mean Velocity in flow
Go Mean Velocity = -(Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity
Dynamic Viscosity given Mean Velocity of Flow in Section
Go Dynamic Viscosity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Mean Velocity
Diameter of Section given Potential Head Drop
Go Diameter of Section = sqrt((3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))
Length of Pipe given Potential Head Drop
Go Length of Pipe = (Head Loss due to Friction*Specific Weight of Liquid*(Diameter of Section^2))/(3*Dynamic Viscosity*Mean Velocity)
Potential Head Drop
Go Head Loss due to Friction = (3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Section^2)
Diameter of Section given Discharge per Unit Channel Width
Go Diameter of Section = ((3*Dynamic Viscosity*Discharge per Unit Width)/(Slope of bed*Specific Weight of Liquid))^(1/3)
Dynamic Viscosity given Discharge per Unit Channel Width
Go Dynamic Viscosity = (Specific Weight of Liquid*Slope of bed*Diameter of Section^3)/(3*Discharge per Unit Width)
Slope of Channel given Discharge per Unit Channel Width
Go Slope of bed = (3*Dynamic Viscosity*Discharge per Unit Width)/(Specific Weight of Liquid*Diameter of Section^3)
Discharge per unit channel width
Go Discharge per Unit Width = (Specific Weight of Liquid*Slope of bed*Diameter of Section^3)/(3*Dynamic Viscosity)
Slope of Channel given Shear Stress
Go Bed Slope = Shear Stress/(Specific Weight of Liquid*(Overall diameter of section-Horizontal Distance))
Diameter of Section given Slope of Channel
Go Diameter of Section = (Shear Stress/(Bed Slope*Specific Weight of Liquid))+Horizontal Distance
Horizontal Distance given Slope of Channel
Go Horizontal Distance = Diameter of Section-(Shear Stress/(Bed Slope*Specific Weight of Liquid))
Shear Stress given Slope of Channel
Go Shear Stress = Specific Weight of Liquid*Bed Slope*(Depth-Horizontal Distance)
Diameter of Section given Bed Shear Stress
Go Diameter of Section = Shear Stress/(Bed Slope*Specific Weight of Liquid)
Bed Slope given Bed Shear Stress
Go Bed Slope = Shear Stress/(Diameter of Section*Specific Weight of Liquid)
Bed Shear Stress
Go Shear Stress = Specific Weight of Liquid*Bed Slope*Diameter of Section

Length of Pipe given Potential Head Drop Formula

Length of Pipe = (Head Loss due to Friction*Specific Weight of Liquid*(Diameter of Section^2))/(3*Dynamic Viscosity*Mean Velocity)
Lp = (hlocation*γf*(dsection^2))/(3*μviscosity*Vmean)

What is Dynamic Viscosity?

The dynamic viscosity η (η = "eta") is a measure of the viscosity of a fluid (fluid: liquid, flowing substance). The higher the viscosity, the thicker (less liquid) the fluid; the lower the viscosity, the thinner (more liquid) it is. SI unit of dynamic viscosity: [η] = Pascal-second (Pa*s) = N*s/m² = kg/m*s.

How to Calculate Length of Pipe given Potential Head Drop?

Length of Pipe given Potential Head Drop calculator uses Length of Pipe = (Head Loss due to Friction*Specific Weight of Liquid*(Diameter of Section^2))/(3*Dynamic Viscosity*Mean Velocity) to calculate the Length of Pipe, The Length of Pipe given Potential Head Drop is defined as the total length of overall fluid in the pipe in horizontal direction. Length of Pipe is denoted by Lp symbol.

How to calculate Length of Pipe given Potential Head Drop using this online calculator? To use this online calculator for Length of Pipe given Potential Head Drop, enter Head Loss due to Friction (hlocation), Specific Weight of Liquid f), Diameter of Section (dsection), Dynamic Viscosity viscosity) & Mean Velocity (Vmean) and hit the calculate button. Here is how the Length of Pipe given Potential Head Drop calculation can be explained with given input values -> 23242.65 = (1.9*9810*(5^2))/(3*1.02*10).

FAQ

What is Length of Pipe given Potential Head Drop?
The Length of Pipe given Potential Head Drop is defined as the total length of overall fluid in the pipe in horizontal direction and is represented as Lp = (hlocationf*(dsection^2))/(3*μviscosity*Vmean) or Length of Pipe = (Head Loss due to Friction*Specific Weight of Liquid*(Diameter of Section^2))/(3*Dynamic Viscosity*Mean Velocity). The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct, Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid, Diameter of Section is the diameter of the circular cross-section of the beam, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied & 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 Potential Head Drop?
The Length of Pipe given Potential Head Drop is defined as the total length of overall fluid in the pipe in horizontal direction is calculated using Length of Pipe = (Head Loss due to Friction*Specific Weight of Liquid*(Diameter of Section^2))/(3*Dynamic Viscosity*Mean Velocity). To calculate Length of Pipe given Potential Head Drop, you need Head Loss due to Friction (hlocation), Specific Weight of Liquid f), Diameter of Section (dsection), Dynamic Viscosity viscosity) & Mean Velocity (Vmean). With our tool, you need to enter the respective value for Head Loss due to Friction, Specific Weight of Liquid, Diameter of Section, Dynamic Viscosity & 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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