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

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+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%

✖Width is the measurement or extent of something from side to side.ⓘ Distance between Plates given Mean Velocity of Flow with Pressure Gradient [w]

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

STEP 0: Pre-Calculation Summary

Formula Used

Width = sqrt((12*Dynamic Viscosity*Mean Velocity)/Pressure Gradient)
w = sqrt((12*μ*V_mean)/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 refers to the internal resistance of a fluid to flow when a force is applied.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
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.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Mean Velocity: 32.4 Meter per Second --> 32.4 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((12*μ*V_mean)/dp|dr) --> sqrt((12*1.02*32.4)/17)

Evaluating ... ...

w = 4.82990683139955

STEP 3: Convert Result to Output's Unit

4.82990683139955 Meter --> No Conversion Required

FINAL ANSWER

4.82990683139955 ≈ 4.829907 Meter <-- Width

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Laminar Flow between Parallel Plates, both Plates at Rest Calculators

Velocity Distribution Profile

LaTeX Go Velocity of Liquid = -(1/(2*Dynamic Viscosity))*Pressure Gradient*(Width*Horizontal Distance-(Horizontal Distance^2))

Distance between Plates using Velocity Distribution Profile

LaTeX Go Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance

Distance between Plates given Maximum Velocity between Plates

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

Maximum Velocity between Plates

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

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

LaTeX Go

Width = sqrt((12*Dynamic Viscosity*Mean Velocity)/Pressure Gradient)
w = sqrt((12*μ*V_mean)/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 Mean Velocity of Flow with Pressure Gradient?

Distance between Plates given Mean Velocity of Flow with Pressure Gradient calculator uses Width = sqrt((12*Dynamic Viscosity*Mean Velocity)/Pressure Gradient) to calculate the Width, The Distance between Plates given Mean Velocity of Flow with Pressure Gradient is defined as the width of section of flow in the pipe. Width is denoted by w symbol.

How to calculate Distance between Plates given Mean Velocity of Flow with Pressure Gradient using this online calculator? To use this online calculator for Distance between Plates given Mean Velocity of Flow with Pressure Gradient, enter Dynamic Viscosity (μ), Mean Velocity (V_mean) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Distance between Plates given Mean Velocity of Flow with Pressure Gradient calculation can be explained with given input values -> 4.829907 = sqrt((12*1.02*32.4)/17).

FAQ

What is Distance between Plates given Mean Velocity of Flow with Pressure Gradient?

The Distance between Plates given Mean Velocity of Flow with Pressure Gradient is defined as the width of section of flow in the pipe and is represented as w = sqrt((12*μ*V_mean)/dp|dr) or Width = sqrt((12*Dynamic Viscosity*Mean Velocity)/Pressure Gradient). The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T & 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.

How to calculate Distance between Plates given Mean Velocity of Flow with Pressure Gradient?

The Distance between Plates given Mean Velocity of Flow with Pressure Gradient is defined as the width of section of flow in the pipe is calculated using Width = sqrt((12*Dynamic Viscosity*Mean Velocity)/Pressure Gradient). To calculate Distance between Plates given Mean Velocity of Flow with Pressure Gradient, you need Dynamic Viscosity (μ), Mean Velocity (V_mean) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Dynamic Viscosity, Mean 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, Mean Velocity & Pressure Gradient. We can use 3 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 = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient))
Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3)

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