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Distance between Plates given Pressure Difference Formula

GoDistance between Plates using Velocity Distribution Profile Formula

GoDistance between Plates given Maximum Velocity between Plates Formula

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Width is the measurement or extent of something from side to side. Check FAQs

w = \sqrt{12 \cdot V mean \cdot μ \cdot \frac{L p}{ΔP}}

w - Width?V_mean - Mean Velocity?μ - Dynamic Viscosity?L_p - Length of Pipe?ΔP - Pressure Difference?

Distance between Plates given Pressure Difference Example

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Here is how the Distance between Plates given Pressure Difference equation looks like with Values.

Here is how the Distance between Plates given Pressure Difference equation looks like with Units.

Here is how the Distance between Plates given Pressure Difference equation looks like.

1.7268 = \sqrt{12 \cdot 32.4 \cdot 10.2 \cdot \frac{0.1}{13.3}}

1.7268m = \sqrt{12 \cdot 32.4m/s \cdot 10.2P \cdot \frac{0.1m}{13.3N/m²}}

1.7268 = \sqrt{12 \cdot 32.4 \cdot 10.2 \cdot \frac{0.1}{13.3}}

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Distance between Plates given Pressure Difference Solution

Follow our step by step solution on how to calculate Distance between Plates given Pressure Difference?

FIRST Step Consider the formula

w = \sqrt{12 \cdot V mean \cdot μ \cdot \frac{L p}{ΔP}}

Next Step Substitute values of Variables

∴

w = \sqrt{12 \cdot 32.4m/s \cdot 10.2P \cdot \frac{0.1m}{13.3N/m²}}

Next Step Convert Units

∴

w = \sqrt{12 \cdot 32.4m/s \cdot 1.02Pa*s \cdot \frac{0.1m}{13.3Pa}}

Next Step Prepare to Evaluate

∴

w = \sqrt{12 \cdot 32.4 \cdot 1.02 \cdot \frac{0.1}{13.3}}

Next Step Evaluate

∴

w = 1.72678152529213m

LAST Step Rounding Answer

∴

w = 1.7268m

Distance between Plates given Pressure Difference Formula Elements

Variables

Functions

Width

Width is the measurement or extent of something from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Width

Mean Velocity

Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Length of Pipe

The Length of Pipe refers to total length from one end to another in which the liquid is flowing.

Symbol: L_p

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe

Pressure Difference

Pressure Difference is the difference in pressure intensities at two different points in a liquid.

Symbol: ΔP

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Pressure Difference

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.

Syntax: sqrt(Number)

Other Formulas to find Width

Go Distance between Plates using Velocity Distribution Profile

w = \frac{(\frac{- v \cdot 2 \cdot μ}{dp|dr}) + (R^{2})}{R}

Go Distance between Plates given Maximum Velocity between Plates

w = \sqrt{\frac{8 \cdot μ \cdot V max}{dp|dr}}

Go Distance between Plates given Discharge

w = {(\frac{Q \cdot 12 \cdot μ}{dp|dr})}^{\frac{1}{3}}

Go Distance between Plates given Mean Velocity of Flow

w = \frac{Q}{V mean}

Other formulas in Laminar Flow between Parallel Plates, both Plates at Rest category

Go Velocity Distribution Profile

v = - (\frac{1}{2 \cdot μ}) \cdot dp|dr \cdot (w \cdot R - (R^{2}))

Go Maximum Velocity between Plates

V max = \frac{(w^{2}) \cdot dp|dr}{8 \cdot μ}

Go Discharge given Viscosity

Q = dp|dr \cdot \frac{w^{3}}{12 \cdot μ}

Go Discharge given Mean Velocity of Flow

Q = w \cdot V mean

How to Evaluate Distance between Plates given Pressure Difference?

Distance between Plates given Pressure Difference evaluator uses Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference) to evaluate 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 evaluate Distance between Plates given Pressure Difference using this online evaluator? To use this online evaluator for Distance between Plates given Pressure Difference, enter Mean Velocity (V_mean), Dynamic Viscosity (μ), Length of Pipe (L_p) & Pressure Difference (ΔP) and hit the calculate button.

FAQs on Distance between Plates given Pressure Difference

What is the formula to find Distance between Plates given Pressure Difference?

The formula of Distance between Plates given Pressure Difference is expressed as Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference). Here is an example- 1.726782 = sqrt(12*32.4*1.02*0.1/13.3).

How to calculate Distance between Plates given Pressure Difference?

With Mean Velocity (V_mean), Dynamic Viscosity (μ), Length of Pipe (L_p) & Pressure Difference (ΔP) we can find Distance between Plates given Pressure Difference using the formula - Width = sqrt(12*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Width?

Here are the different ways to Calculate Width-

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)

Can the Distance between Plates given Pressure Difference be negative?

Yes, the Distance between Plates given Pressure Difference, measured in Length can be negative.

Which unit is used to measure Distance between Plates given Pressure Difference?

Distance between Plates given Pressure Difference is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Distance between Plates given Pressure Difference can be measured.

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Distance between Plates given Pressure Difference Formula

​GoDistance between Plates using Velocity Distribution Profile Formula

​GoDistance between Plates given Maximum Velocity between Plates Formula

Distance between Plates given Pressure Difference Example

Distance between Plates given Pressure Difference Solution

Distance between Plates given Pressure Difference Formula Elements

Other Formulas to find Width

Other formulas in Laminar Flow between Parallel Plates, both Plates at Rest category

How to Evaluate Distance between Plates given Pressure Difference?

FAQs on Distance between Plates given Pressure Difference

Variable Name

GoDistance between Plates using Velocity Distribution Profile Formula

GoDistance between Plates given Maximum Velocity between Plates Formula