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Distance between Plates using Velocity Distribution Profile Formula

GoDistance between Plates given Maximum Velocity between Plates Formula

GoDistance between Plates given Discharge Formula

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

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

w - Width?v - Velocity of Liquid?μ - Dynamic Viscosity?dp|dr - Pressure Gradient?R - Horizontal Distance?

Distance between Plates using Velocity Distribution Profile Example

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Here is how the Distance between Plates using Velocity Distribution Profile equation looks like with Values.

Here is how the Distance between Plates using Velocity Distribution Profile equation looks like with Units.

Here is how the Distance between Plates using Velocity Distribution Profile equation looks like.

5.8292 = \frac{(\frac{- 61.57 \cdot 2 \cdot 10.2}{17}) + ({6.9}^{2})}{6.9}

5.8292m = \frac{(\frac{- 61.57m/s \cdot 2 \cdot 10.2P}{17N/m³}) + ({6.9m}^{2})}{6.9m}

5.8292 = \frac{(\frac{- 61.57 \cdot 2 \cdot 10.2}{17}) + ({6.9}^{2})}{6.9}

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Distance between Plates using Velocity Distribution Profile Solution

Follow our step by step solution on how to calculate Distance between Plates using Velocity Distribution Profile?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

w = \frac{(\frac{- 61.57m/s \cdot 2 \cdot 10.2P}{17N/m³}) + ({6.9m}^{2})}{6.9m}

Next Step Convert Units

∴

w = \frac{(\frac{- 61.57m/s \cdot 2 \cdot 1.02Pa*s}{17N/m³}) + ({6.9m}^{2})}{6.9m}

Next Step Prepare to Evaluate

∴

w = \frac{(\frac{- 61.57 \cdot 2 \cdot 1.02}{17}) + ({6.9}^{2})}{6.9}

Next Step Evaluate

∴

w = 5.82921739130435m

LAST Step Rounding Answer

∴

w = 5.8292m

Distance between Plates using Velocity Distribution Profile Formula Elements

Variables

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

Velocity of Liquid

The Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Liquid

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

Pressure Gradient

The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.

Symbol: dp|dr

Measurement: Pressure GradientUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Pressure Gradient

Horizontal Distance

Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.

Symbol: R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Horizontal Distance

Other Formulas to find Width

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}

Go Distance between Plates given Mean Velocity of Flow with Pressure Gradient

w = \sqrt{\frac{12 \cdot μ \cdot V mean}{dp|dr}}

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 using Velocity Distribution Profile?

Distance between Plates using Velocity Distribution Profile evaluator uses Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance to evaluate the Width, The Distance between Plates using Velocity Distribution Profile is defined as the width of plates enforced between the plates relative motion. Width is denoted by w symbol.

How to evaluate Distance between Plates using Velocity Distribution Profile using this online evaluator? To use this online evaluator for Distance between Plates using Velocity Distribution Profile, enter Velocity of Liquid (v), Dynamic Viscosity (μ), Pressure Gradient (dp|dr) & Horizontal Distance (R) and hit the calculate button.

FAQs on Distance between Plates using Velocity Distribution Profile

What is the formula to find Distance between Plates using Velocity Distribution Profile?

The formula of Distance between Plates using Velocity Distribution Profile is expressed as Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance. Here is an example- 5.829217 = (((-61.57*2*1.02)/17)+(6.9^2))/6.9.

How to calculate Distance between Plates using Velocity Distribution Profile?

With Velocity of Liquid (v), Dynamic Viscosity (μ), Pressure Gradient (dp|dr) & Horizontal Distance (R) we can find Distance between Plates using Velocity Distribution Profile using the formula - Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance.

What are the other ways to Calculate Width?

Here are the different ways to Calculate Width-

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

Can the Distance between Plates using Velocity Distribution Profile be negative?

Yes, the Distance between Plates using Velocity Distribution Profile, measured in Length can be negative.

Which unit is used to measure Distance between Plates using Velocity Distribution Profile?

Distance between Plates using Velocity Distribution Profile 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 using Velocity Distribution Profile can be measured.

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Distance between Plates using Velocity Distribution Profile Formula

​GoDistance between Plates given Maximum Velocity between Plates Formula

​GoDistance between Plates given Discharge Formula

Distance between Plates using Velocity Distribution Profile Example

Distance between Plates using Velocity Distribution Profile Solution

Distance between Plates using Velocity Distribution Profile 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 using Velocity Distribution Profile?

FAQs on Distance between Plates using Velocity Distribution Profile

Variable Name

GoDistance between Plates given Maximum Velocity between Plates Formula

GoDistance between Plates given Discharge Formula