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*μviscosity)/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) - Velocity of Liquid is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
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.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
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*μviscosity)/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 00.004 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 using Velocity Distribution Profile Formula

Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance
w = (((-v*2*μviscosity)/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 viscosity), 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*μviscosity)/dp|dr)+(R^2))/R or Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance. Velocity of Liquid is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Pressure Gradient is the change in pressure with respect to radial distance of element & 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 viscosity), 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 7 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
  • 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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