Length of Pipe given Pressure Head Drop Calculator

✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%
✖The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.ⓘ Head Loss due to Friction [h_location]			+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%
✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+10% -10%

✖The Length of Pipe refers to total length from one end to another in which the liquid is flowing.ⓘ Length of Pipe given Pressure Head Drop [L_p]

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Length of Pipe given Pressure Head Drop Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Pipe = (Specific Weight of Liquid*Width*Width*Head Loss due to Friction)/(12*Dynamic Viscosity*Mean Velocity)
L_p = (γ_f*w*w*h_location)/(12*μ*V_mean)
This formula uses 6 Variables

Variables Used

Length of Pipe - (Measured in Meter) - The Length of Pipe refers to total length from one end to another in which the liquid is flowing.
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.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
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.
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) - 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

Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Width: 3 Meter --> 3 Meter No Conversion Required
Head Loss due to Friction: 4 Meter --> 4 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Mean Velocity: 32.4 Meter per Second --> 32.4 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_p = (γ_f*w*w*h_location)/(12*μ*V_mean) --> (9.81*3*3*4)/(12*1.02*32.4)

Evaluating ... ...

L_p = 0.890522875816993

STEP 3: Convert Result to Output's Unit

0.890522875816993 Meter --> No Conversion Required

FINAL ANSWER

0.890522875816993 ≈ 0.890523 Meter <-- Length of Pipe

(Calculation completed in 00.008 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Birsa Institute of Technology (BIT), Sindri

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< Laminar Flow between Parallel Plates, both Plates at Rest Calculators

Velocity Distribution Profile

LaTeX Go Velocity of Liquid = -(1/(2*Dynamic Viscosity))*Pressure Gradient*(Width*Horizontal Distance-(Horizontal Distance^2))

Distance between Plates using Velocity Distribution Profile

LaTeX Go Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance

Distance between Plates given Maximum Velocity between Plates

LaTeX Go Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient))

Maximum Velocity between Plates

LaTeX Go Maximum Velocity = ((Width^2)*Pressure Gradient)/(8*Dynamic Viscosity)

Length of Pipe given Pressure Head Drop Formula

LaTeX Go

Length of Pipe = (Specific Weight of Liquid*Width*Width*Head Loss due to Friction)/(12*Dynamic Viscosity*Mean Velocity)
L_p = (γ_f*w*w*h_location)/(12*μ*V_mean)

What is Specific Weight of Liquid?

Specific weight, sometimes referred to as unit weight, is simply the weight of fluid per unit volume. It is usually denoted by the Greek letter γ (gamma) and has dimensions of force per unit volume.

How to Calculate Length of Pipe given Pressure Head Drop?

Length of Pipe given Pressure Head Drop calculator uses Length of Pipe = (Specific Weight of Liquid*Width*Width*Head Loss due to Friction)/(12*Dynamic Viscosity*Mean Velocity) to calculate the Length of Pipe, The Length of Pipe given Pressure Head Drop is defined as the total length of pipe in the flow stream of channel . Length of Pipe is denoted by L_p symbol.

How to calculate Length of Pipe given Pressure Head Drop using this online calculator? To use this online calculator for Length of Pipe given Pressure Head Drop, enter Specific Weight of Liquid (γ_f), Width (w), Head Loss due to Friction (h_location), Dynamic Viscosity (μ) & Mean Velocity (V_mean) and hit the calculate button. Here is how the Length of Pipe given Pressure Head Drop calculation can be explained with given input values -> 0.422998 = (9810*3*3*head_loss_due_to_friction)/(12*1.02*32.4).

FAQ

What is Length of Pipe given Pressure Head Drop?

The Length of Pipe given Pressure Head Drop is defined as the total length of pipe in the flow stream of channel and is represented as L_p = (γ_f*w*w*h_location)/(12*μ*V_mean) or Length of Pipe = (Specific Weight of Liquid*Width*Width*Head Loss due to Friction)/(12*Dynamic Viscosity*Mean Velocity). The Specific Weight of Liquid refers to the weight per unit volume of that substance, Width is the measurement or extent of something from side to side, The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a 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 Pressure Head Drop?

The Length of Pipe given Pressure Head Drop is defined as the total length of pipe in the flow stream of channel is calculated using Length of Pipe = (Specific Weight of Liquid*Width*Width*Head Loss due to Friction)/(12*Dynamic Viscosity*Mean Velocity). To calculate Length of Pipe given Pressure Head Drop, you need Specific Weight of Liquid (γ_f), Width (w), Head Loss due to Friction (h_location), Dynamic Viscosity (μ) & Mean Velocity (V_mean). With our tool, you need to enter the respective value for Specific Weight of Liquid, Width, Head Loss due to Friction, 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.

How many ways are there to calculate Length of Pipe?

In this formula, Length of Pipe uses Specific Weight of Liquid, Width, Head Loss due to Friction, Dynamic Viscosity & Mean Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity)

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