Distance between Plates given Maximum Velocity between Plates Calculator

✖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%
✖Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time.ⓘ Maximum Velocity [V_max]			+10% -10%
✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+10% -10%

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

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Formula

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Distance between Plates given Maximum Velocity between Plates

Formula

`"w" = sqrt((8*"μ"_{"viscosity"}*"V"_{"max"})/("dp|dr"))`

Example

`"2.987976m"=sqrt((8*"10.2P"*"18.6m/s")/("17N/m³"))`

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

Distance between Plates given Maximum Velocity between Plates Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient))
w = sqrt((8*μ_viscosity*V_max)/(dp|dr))
This formula uses 1 Functions, 4 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.
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.
Maximum Velocity - (Measured in Meter per Second) - Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Maximum Velocity: 18.6 Meter per Second --> 18.6 Meter per Second No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = sqrt((8*μ_viscosity*V_max)/(dp|dr)) --> sqrt((8*1.02*18.6)/(17))

Evaluating ... ...

w = 2.9879759035173

STEP 3: Convert Result to Output's Unit

2.9879759035173 Meter --> No Conversion Required

FINAL ANSWER

2.9879759035173 ≈ 2.987976 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 Maximum Velocity between Plates Formula

Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient))
w = sqrt((8*μ_viscosity*V_max)/(dp|dr))

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 given Maximum Velocity between Plates?

Distance between Plates given Maximum Velocity between Plates calculator uses Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient)) to calculate the Width, The Distance between Plates given Maximum Velocity between Plates is defined as the width of the plates in flowing stream. Width is denoted by w symbol.

How to calculate Distance between Plates given Maximum Velocity between Plates using this online calculator? To use this online calculator for Distance between Plates given Maximum Velocity between Plates, enter Dynamic Viscosity (μ_viscosity), Maximum Velocity (V_max) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Distance between Plates given Maximum Velocity between Plates calculation can be explained with given input values -> 2.987976 = sqrt((8*1.02*18.6)/(17)).

FAQ

What is Distance between Plates given Maximum Velocity between Plates?

The Distance between Plates given Maximum Velocity between Plates is defined as the width of the plates in flowing stream and is represented as w = sqrt((8*μ_viscosity*V_max)/(dp|dr)) or Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient)). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time & Pressure Gradient is the change in pressure with respect to radial distance of element.

How to calculate Distance between Plates given Maximum Velocity between Plates?

The Distance between Plates given Maximum Velocity between Plates is defined as the width of the plates in flowing stream is calculated using Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient)). To calculate Distance between Plates given Maximum Velocity between Plates, you need Dynamic Viscosity (μ_viscosity), Maximum Velocity (V_max) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Dynamic Viscosity, Maximum Velocity & Pressure Gradient 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 Dynamic Viscosity, Maximum Velocity & Pressure Gradient. 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 = ((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*Mean Velocity*Dynamic Viscosity*Length of Pipe/Pressure Difference)
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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