Length of Pipe given Pressure Difference Calculator

✖Pressure Difference is the difference in pressure intensities at two different points in a liquid.ⓘ Pressure Difference [ΔP]			+10% -10%
✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+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 Difference [L_p]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Laminar Flow between Parallel Plates, both Plates at Rest Formulas PDF PDF Image

Length of Pipe given Pressure Difference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity)
L_p = (ΔP*w*w)/(μ*12*V_mean)
This formula uses 5 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.
Pressure Difference - (Measured in Pascal) - Pressure Difference is the difference in pressure intensities at two different points in a liquid.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
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

Pressure Difference: 13.3 Newton per Square Meter --> 13.3 Pascal (Check conversion here)
Width: 3 Meter --> 3 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 = (ΔP*w*w)/(μ*12*V_mean) --> (13.3*3*3)/(1.02*12*32.4)

Evaluating ... ...

L_p = 0.30183369644154

STEP 3: Convert Result to Output's Unit

0.30183369644154 Meter --> No Conversion Required

FINAL ANSWER

0.30183369644154 ≈ 0.301834 Meter <-- Length of Pipe

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow between Parallel Plates, both Plates at Rest » Length of Pipe given Pressure Difference

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 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 Difference Formula

LaTeX Go

Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity)
L_p = (ΔP*w*w)/(μ*12*V_mean)

What is Laminar Flow?

Laminar flow is characterized by fluid particles following smooth paths in layers, with each layer moving smoothly past the adjacent layers with little or no mixing. At low velocities, the fluid tends to flow without lateral mixing, and adjacent layers slide past one another like playing cards.

How to Calculate Length of Pipe given Pressure Difference?

Length of Pipe given Pressure Difference calculator uses Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity) to calculate the Length of Pipe, The Length of Pipe given Pressure Difference is defined as the total flow length in the pipe of stream under laminar flow. Length of Pipe is denoted by L_p symbol.

How to calculate Length of Pipe given Pressure Difference using this online calculator? To use this online calculator for Length of Pipe given Pressure Difference, enter Pressure Difference (ΔP), Width (w), Dynamic Viscosity (μ) & Mean Velocity (V_mean) and hit the calculate button. Here is how the Length of Pipe given Pressure Difference calculation can be explained with given input values -> 0.301834 = (13.3*3*3)/(1.02*12*32.4).

FAQ

What is Length of Pipe given Pressure Difference?

The Length of Pipe given Pressure Difference is defined as the total flow length in the pipe of stream under laminar flow and is represented as L_p = (ΔP*w*w)/(μ*12*V_mean) or Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity). Pressure Difference is the difference in pressure intensities at two different points in a liquid, Width is the measurement or extent of something from side to side, 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 Difference?

The Length of Pipe given Pressure Difference is defined as the total flow length in the pipe of stream under laminar flow is calculated using Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity). To calculate Length of Pipe given Pressure Difference, you need Pressure Difference (ΔP), Width (w), Dynamic Viscosity (μ) & Mean Velocity (V_mean). With our tool, you need to enter the respective value for Pressure Difference, Width, 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 Pressure Difference, Width, Dynamic Viscosity & Mean Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length of Pipe = (Specific Weight of Liquid*Width*Width*Head Loss due to Friction)/(12*Dynamic Viscosity*Mean Velocity)

Home

FREE PDFs

🔍 Search