Distance between Plates given Pressure Difference Calculator

✖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 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%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖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.ⓘ Distance between Plates given Pressure Difference [w]

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Formula

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Distance between Plates given Pressure Difference

Formula

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

Example

`"1.726782m"=sqrt(12*"32.4m/s"*"10.2P"*"0.10m"/"13.3N/m²")`

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

Distance between Plates given Pressure Difference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference)
w = sqrt(12*V_mean*μ_viscosity*L_p/ΔP)
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
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.
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.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe 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.

STEP 1: Convert Input(s) to Base Unit

Mean Velocity: 32.4 Meter per Second --> 32.4 Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Pressure Difference: 13.3 Newton per Square Meter --> 13.3 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = sqrt(12*V_mean*μ_viscosity*L_p/ΔP) --> sqrt(12*32.4*1.02*0.1/13.3)

Evaluating ... ...

w = 1.72678152529213

STEP 3: Convert Result to Output's Unit

1.72678152529213 Meter --> No Conversion Required

FINAL ANSWER

1.72678152529213 ≈ 1.726782 Meter <-- Width

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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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

Distance between Plates given Pressure Difference Formula

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

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 Distance between Plates given Pressure Difference?

Distance between Plates given Pressure Difference calculator uses Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference) to calculate the Width, The Distance between Plates given Pressure Difference is defined as the width of section at a point in the flow. Width is denoted by w symbol.

How to calculate Distance between Plates given Pressure Difference using this online calculator? To use this online calculator for Distance between Plates given Pressure Difference, enter Mean Velocity (V_mean), Dynamic Viscosity (μ_viscosity), Length of Pipe (L_p) & Pressure Difference (ΔP) and hit the calculate button. Here is how the Distance between Plates given Pressure Difference calculation can be explained with given input values -> 1.726782 = sqrt(12*32.4*1.02*0.1/13.3).

FAQ

What is Distance between Plates given Pressure Difference?

The Distance between Plates given Pressure Difference is defined as the width of section at a point in the flow and is represented as w = sqrt(12*V_mean*μ_viscosity*L_p/ΔP) or Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference). Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Length of Pipe describes the length of the pipe in which the liquid is flowing & Pressure Difference is the difference in pressure intensities at two different points in a liquid.

How to calculate Distance between Plates given Pressure Difference?

The Distance between Plates given Pressure Difference is defined as the width of section at a point in the flow is calculated using Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference). To calculate Distance between Plates given Pressure Difference, you need Mean Velocity (V_mean), Dynamic Viscosity (μ_viscosity), Length of Pipe (L_p) & Pressure Difference (ΔP). With our tool, you need to enter the respective value for Mean Velocity, Dynamic Viscosity, Length of Pipe & Pressure Difference 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 Width?

In this formula, Width uses Mean Velocity, Dynamic Viscosity, Length of Pipe & Pressure Difference. We can use 7 other way(s) to calculate the same, which is/are as follows -

Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance
Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient))
Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3)
Width = Discharge in Laminar Flow/Mean Velocity
Width = sqrt((12*Dynamic Viscosity*Mean Velocity)/Pressure Gradient)
Width = sqrt((12*Dynamic Viscosity*Length of Pipe*Mean Velocity)/(Specific Weight of Liquid*Head Loss due to Friction))
Width = 2*(Horizontal Distance-(Shear Stress/Pressure Gradient))

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