Pressure Difference Calculator

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+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%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%

✖Pressure Difference is the difference in pressure intensities at two different points in a liquid.ⓘ Pressure Difference [ΔP]

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Formula

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Pressure Difference

Formula

`"ΔP" = 12*"μ"_{"viscosity"}*"V"_{"mean"}*"L"_{"p"}/("w"^2)`

Example

`"4.4064N/m²"=12*"10.2P"*"32.4m/s"*"0.10m"/(("3m")^2)`

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Download Laminar Flow between Parallel Plates, both plates at rest Formulas PDF

Pressure Difference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Difference = 12*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Width^2)
ΔP = 12*μ_viscosity*V_mean*L_p/(w^2)
This formula uses 5 Variables

Variables Used

Pressure Difference - (Measured in Pascal) - Pressure Difference is the difference in pressure intensities at two different points in a liquid.
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.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.

STEP 1: Convert Input(s) to Base Unit

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
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Width: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔP = 12*μ_viscosity*V_mean*L_p/(w^2) --> 12*1.02*32.4*0.1/(3^2)

Evaluating ... ...

ΔP = 4.4064

STEP 3: Convert Result to Output's Unit

4.4064 Pascal -->4.4064 Newton per Square Meter (Check conversion here)

FINAL ANSWER

4.4064 Newton per Square Meter <-- Pressure Difference

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow between Parallel Plates, both plates at rest » Pressure Difference

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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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< 20 Laminar Flow between Parallel Plates, both plates at rest Calculators

Distance between Plates given Pressure Head Drop

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

Length of Pipe given Pressure Head Drop

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

Velocity Distribution Profile

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

Distance between Plates using Velocity Distribution Profile

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

Length of Pipe given Pressure Difference

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

Distance between Plates given Pressure Difference

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

Pressure Head Drop

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

Pressure Difference

Go Pressure Difference = 12*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Width^2)

Distance between Plates given Maximum Velocity between Plates

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

Distance between Plates given Mean Velocity of Flow with Pressure Gradient

Go Width = sqrt((12*Dynamic Viscosity*Mean Velocity)/Pressure Gradient)

Distance between Plates given Discharge

Go Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3)

Discharge given Viscosity

Go Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity)

Maximum Velocity between Plates

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

Distance between Plates given Shear Stress Distribution Profile

Go Width = 2*(Horizontal Distance-(Shear Stress/Pressure Gradient))

Shear Stress Distribution Profile

Go Shear Stress = -Pressure Gradient*(Width/2-Horizontal Distance)

Horizontal Distance given Shear Stress Distribution Profile

Go Horizontal Distance = Width/2+(Shear Stress/Pressure Gradient)

Maximum Shear Stress in fluid

Go Maximum Shear Stress in Shaft = 0.5*Pressure Gradient*Width

Distance between Plates given Mean Velocity of Flow

Go Width = Discharge in Laminar Flow/Mean Velocity

Discharge given Mean Velocity of Flow

Go Discharge in Laminar Flow = Width*Mean Velocity

Maximum Velocity given Mean Velocity of Flow

Go Maximum Velocity = 1.5*Mean Velocity

Pressure Difference Formula

Pressure Difference = 12*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Width^2)
ΔP = 12*μ_viscosity*V_mean*L_p/(w^2)

What is Pressure Difference?

Pressure drop is defined as the difference in total pressure between two points of a fluid carrying network. A pressure drop occurs when frictional forces, caused by the resistance to flow, act on a fluid as it flows through the tube.

How to Calculate Pressure Difference?

Pressure Difference calculator uses Pressure Difference = 12*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Width^2) to calculate the Pressure Difference, The Pressure Difference is defined as the drop in pressure from one section of pipe to another section of pipe in the direction of flow. Pressure Difference is denoted by ΔP symbol.

How to calculate Pressure Difference using this online calculator? To use this online calculator for Pressure Difference, enter Dynamic Viscosity (μ_viscosity), Mean Velocity (V_mean), Length of Pipe (L_p) & Width (w) and hit the calculate button. Here is how the Pressure Difference calculation can be explained with given input values -> 4.4064 = 12*1.02*32.4*0.1/(3^2).

FAQ

What is Pressure Difference?

The Pressure Difference is defined as the drop in pressure from one section of pipe to another section of pipe in the direction of flow and is represented as ΔP = 12*μ_viscosity*V_mean*L_p/(w^2) or Pressure Difference = 12*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Width^2). 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, Length of Pipe describes the length of the pipe in which the liquid is flowing & Width is the measurement or extent of something from side to side.

How to calculate Pressure Difference?

The Pressure Difference is defined as the drop in pressure from one section of pipe to another section of pipe in the direction of flow is calculated using Pressure Difference = 12*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Width^2). To calculate Pressure Difference, you need Dynamic Viscosity (μ_viscosity), Mean Velocity (V_mean), Length of Pipe (L_p) & Width (w). With our tool, you need to enter the respective value for Dynamic Viscosity, Mean Velocity, Length of Pipe & Width 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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