Distance between Plates given Shear Stress Distribution Profile Calculator

✖Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+10% -10%
✖The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+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 Shear Stress Distribution Profile [w]

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Distance between Plates given Shear Stress Distribution Profile Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width = 2*(Horizontal Distance-(Shear Stress/Pressure Gradient))
w = 2*(R-(𝜏/dp|dr))
This formula uses 4 Variables

Variables Used

Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Horizontal Distance - (Measured in Meter) - Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.
Shear Stress - (Measured in Pascal) - The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
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

Horizontal Distance: 6.9 Meter --> 6.9 Meter No Conversion Required
Shear Stress: 93.1 Pascal --> 93.1 Pascal 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 = 2*(R-(𝜏/dp|dr)) --> 2*(6.9-(93.1/17))

Evaluating ... ...

w = 2.84705882352941

STEP 3: Convert Result to Output's Unit

2.84705882352941 Meter --> No Conversion Required

FINAL ANSWER

2.84705882352941 ≈ 2.847059 Meter <-- Width

(Calculation completed in 00.004 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 Shear Stress Distribution Profile Formula

LaTeX Go

Width = 2*(Horizontal Distance-(Shear Stress/Pressure Gradient))
w = 2*(R-(𝜏/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 Shear Stress Distribution Profile?

Distance between Plates given Shear Stress Distribution Profile calculator uses Width = 2*(Horizontal Distance-(Shear Stress/Pressure Gradient)) to calculate the Width, The Distance between Plates given Shear Stress Distribution Profile is defined as the width of section of at point in the flow. Width is denoted by w symbol.

How to calculate Distance between Plates given Shear Stress Distribution Profile using this online calculator? To use this online calculator for Distance between Plates given Shear Stress Distribution Profile, enter Horizontal Distance (R), Shear Stress (𝜏) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Distance between Plates given Shear Stress Distribution Profile calculation can be explained with given input values -> 2.847059 = 2*(6.9-(93.1/17)).

FAQ

What is Distance between Plates given Shear Stress Distribution Profile?

The Distance between Plates given Shear Stress Distribution Profile is defined as the width of section of at point in the flow and is represented as w = 2*(R-(𝜏/dp|dr)) or Width = 2*(Horizontal Distance-(Shear Stress/Pressure Gradient)). Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion, The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & 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 Shear Stress Distribution Profile?

The Distance between Plates given Shear Stress Distribution Profile is defined as the width of section of at point in the flow is calculated using Width = 2*(Horizontal Distance-(Shear Stress/Pressure Gradient)). To calculate Distance between Plates given Shear Stress Distribution Profile, you need Horizontal Distance (R), Shear Stress (𝜏) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Horizontal Distance, Shear Stress & 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 Horizontal Distance, Shear Stress & 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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