Distance between Plates using Velocity Distribution Profile Calculator

✖The Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel.ⓘ Velocity of Liquid [v]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖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.ⓘ Pressure Gradient [dp\|dr]			+10% -10%
✖Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+10% -10%

✖Width is the measurement or extent of something from side to side.ⓘ Distance between Plates using Velocity Distribution Profile [w]

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Formula

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Distance between Plates using Velocity Distribution Profile

Formula

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

Example

5.829217 m = \frac{(\frac{- 61.57 m/s \cdot 2 \cdot 10.2 P}{17 N/m³}) + ({6.9 m}^{2})}{6.9 m}

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Distance between Plates using Velocity Distribution Profile Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance
w = (((-v*2*μ)/dp|dr)+(R^2))/R
This formula uses 5 Variables

Variables Used

Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Velocity of Liquid - (Measured in Meter per Second) - The Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Pressure Gradient - (Measured in Newton per Cubic Meter) - 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.
Horizontal Distance - (Measured in Meter) - Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.

STEP 1: Convert Input(s) to Base Unit

Velocity of Liquid: 61.57 Meter per Second --> 61.57 Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Horizontal Distance: 6.9 Meter --> 6.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (((-v*2*μ)/dp|dr)+(R^2))/R --> (((-61.57*2*1.02)/17)+(6.9^2))/6.9

Evaluating ... ...

w = 5.82921739130435

STEP 3: Convert Result to Output's Unit

5.82921739130435 Meter --> No Conversion Required

FINAL ANSWER

5.82921739130435 ≈ 5.829217 Meter <-- Width

(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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

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

Distance between Plates given Maximum Velocity between Plates

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

Maximum Velocity between Plates

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

Distance between Plates using Velocity Distribution Profile Formula

Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance
w = (((-v*2*μ)/dp|dr)+(R^2))/R

What is Pressure Gradient?

Pressure gradient is a physical quantity that describes in which direction and at what rate the pressure increases the most rapidly around a particular location. The pressure gradient is a dimensional quantity expressed in units of pascals per metre.

How to Calculate Distance between Plates using Velocity Distribution Profile?

Distance between Plates using Velocity Distribution Profile calculator uses Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance to calculate 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 calculate Distance between Plates using Velocity Distribution Profile using this online calculator? To use this online calculator 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. Here is how the Distance between Plates using Velocity Distribution Profile calculation can be explained with given input values -> 5.829217 = (((-61.57*2*1.02)/17)+(6.9^2))/6.9.

FAQ

What is Distance between Plates using Velocity Distribution Profile?

The Distance between Plates using Velocity Distribution Profile is defined as the width of plates enforced between the plates relative motion and is represented as w = (((-v*2*μ)/dp|dr)+(R^2))/R or Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance. The Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, 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 & Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.

How to calculate Distance between Plates using Velocity Distribution Profile?

The Distance between Plates using Velocity Distribution Profile is defined as the width of plates enforced between the plates relative motion is calculated using Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance. To calculate Distance between Plates using Velocity Distribution Profile, you need Velocity of Liquid (v), Dynamic Viscosity (μ), Pressure Gradient (dp|dr) & Horizontal Distance (R). With our tool, you need to enter the respective value for Velocity of Liquid, Dynamic Viscosity, Pressure Gradient & Horizontal Distance 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 Velocity of Liquid, Dynamic Viscosity, Pressure Gradient & Horizontal Distance. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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