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Distance between Plates given Discharge 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 = {(\frac{Q \cdot 12 \cdot μ}{dp|dr})}^{\frac{1}{3}}

w - Width?Q - Discharge in Laminar Flow?μ - Dynamic Viscosity?dp|dr - Pressure Gradient?

Distance between Plates given Discharge Example

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

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

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

3.4085 = {(\frac{55 \cdot 12 \cdot 10.2}{17})}^{\frac{1}{3}}

3.4085m = {(\frac{55m³/s \cdot 12 \cdot 10.2P}{17N/m³})}^{\frac{1}{3}}

3.4085 = {(\frac{55 \cdot 12 \cdot 10.2}{17})}^{\frac{1}{3}}

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Distance between Plates given Discharge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

w = {(\frac{55m³/s \cdot 12 \cdot 10.2P}{17N/m³})}^{\frac{1}{3}}

Next Step Convert Units

∴

w = {(\frac{55m³/s \cdot 12 \cdot 1.02Pa*s}{17N/m³})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

w = {(\frac{55 \cdot 12 \cdot 1.02}{17})}^{\frac{1}{3}}

Next Step Evaluate

∴

w = 3.40851384171747m

LAST Step Rounding Answer

∴

w = 3.4085m

Distance between Plates given Discharge 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

Discharge in Laminar Flow

The Discharge in Laminar Flow refers to the fluid flowing per second through a channel or section of a pipe.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge in Laminar Flow

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

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 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 given Discharge?

Distance between Plates given Discharge evaluator uses Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3) to evaluate the Width, The Distance between Plates given Discharge is defined as the distance between two plates of a flow channel can be determined by measuring the discharge rate of fluid passing through the channel. Width is denoted by w symbol.

How to evaluate Distance between Plates given Discharge using this online evaluator? To use this online evaluator for Distance between Plates given Discharge, enter Discharge in Laminar Flow (Q), Dynamic Viscosity (μ) & Pressure Gradient (dp|dr) and hit the calculate button.

FAQs on Distance between Plates given Discharge

What is the formula to find Distance between Plates given Discharge?

The formula of Distance between Plates given Discharge is expressed as Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3). Here is an example- 0.631636 = ((55*12*1.02)/17)^(1/3).

How to calculate Distance between Plates given Discharge?

With Discharge in Laminar Flow (Q), Dynamic Viscosity (μ) & Pressure Gradient (dp|dr) we can find Distance between Plates given Discharge using the formula - Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3).

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/Mean Velocity

Can the Distance between Plates given Discharge be negative?

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

Which unit is used to measure Distance between Plates given Discharge?

Distance between Plates given Discharge 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 Discharge can be measured.

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