Length of Pipe given Potential Head Drop Calculator

✖The Head Loss due to Friction refers to the reduction in pressure (or head) that occurs as fluid flows through a pipe or hydraulic system.ⓘ Head Loss due to Friction [h_L]			+10% -10%
✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.ⓘ Diameter of Section [d_section]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.ⓘ Mean Velocity [V_mean]			+10% -10%

✖The Length of Pipe refers to the measurement of the pipe from one end to the other.ⓘ Length of Pipe given Potential Head Drop [L]

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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)
L = (h_L*γ_f*(d_section^2))/(3*μ*V_mean)
This formula uses 6 Variables

Variables Used

Length of Pipe - (Measured in Meter) - The Length of Pipe refers to the measurement of the pipe from one end to the other.
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction refers to the reduction in pressure (or head) that occurs as fluid flows through a pipe or hydraulic system.
Specific Weight of Liquid - (Measured in Kilonewton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Diameter of Section - (Measured in Meter) - The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Mean Velocity - (Measured in Meter per Second) - The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.

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 --> 9.81 Kilonewton per Cubic Meter No Conversion Required
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

L = (h_L*γ_f*(d_section^2))/(3*μ*V_mean) --> (1.9*9.81*(5^2))/(3*1.02*10)

Evaluating ... ...

L = 15.2279411764706

STEP 3: Convert Result to Output's Unit

15.2279411764706 Meter --> No Conversion Required

FINAL ANSWER

15.2279411764706 ≈ 15.22794 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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< Laminar Flow of Fluid in an Open Channel Calculators

Slope of Channel given Mean Velocity of Flow

LaTeX 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

LaTeX Go Diameter of Section = ((Horizontal Distance^2+(Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance

Dynamic Viscosity given Mean Velocity of Flow in Section

LaTeX Go Dynamic Viscosity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Mean Velocity

Mean Velocity of Flow in Section

LaTeX Go Mean Velocity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity

Length of Pipe given Potential Head Drop Formula

LaTeX Go

Length of Pipe = (Head Loss due to Friction*Specific Weight of Liquid*(Diameter of Section^2))/(3*Dynamic Viscosity*Mean Velocity)
L = (h_L*γ_f*(d_section^2))/(3*μ*V_mean)

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 L 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 (h_L), Specific Weight of Liquid (γ_f), Diameter of Section (d_section), Dynamic Viscosity (μ) & Mean Velocity (V_mean) and hit the calculate button. Here is how the Length of Pipe given Potential Head Drop calculation can be explained with given input values -> 15.22794 = (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 L = (h_L*γ_f*(d_section^2))/(3*μ*V_mean) 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 refers to the reduction in pressure (or head) that occurs as fluid flows through a pipe or hydraulic system, The Specific Weight of Liquid refers to the weight per unit volume of that substance, The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied & The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.

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 (h_L), Specific Weight of Liquid (γ_f), Diameter of Section (d_section), Dynamic Viscosity (μ) & Mean Velocity (V_mean). 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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