Distance between Plates given Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3)
w = ((Q*12*μviscosity)/dp|dr)^(1/3)
This formula uses 4 Variables
Variables Used
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Discharge in Laminar Flow - (Measured in Cubic Meter per Second) - Discharge in Laminar Flow is the fluid flowing per second through a channel or section of a pipe.
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.
STEP 1: Convert Input(s) to Base Unit
Discharge in Laminar Flow: 55 Cubic Meter per Second --> 55 Cubic 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
w = ((Q*12*μviscosity)/dp|dr)^(1/3) --> ((55*12*1.02)/17)^(1/3)
Evaluating ... ...
w = 3.40851384171747
STEP 3: Convert Result to Output's Unit
3.40851384171747 Meter --> No Conversion Required
FINAL ANSWER
3.40851384171747 3.408514 Meter <-- Width
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

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 Discharge Formula

Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3)
w = ((Q*12*μviscosity)/dp|dr)^(1/3)

What is Rate of Flow?

Rate of flow may refer to: Mass flow rate, the movement of mass per time. Volumetric flow rate, the volume of a fluid which passes through a given surface per unit of time. Heat flow rate, the movement of heat per time.

How to Calculate Distance between Plates given Discharge?

Distance between Plates given Discharge calculator uses Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3) to calculate the Width, The Distance between Plates given Discharge is defined as the distance between two plates of a flow channel can be determined by measuring the discharge rate of fluid passing through the channel. Width is denoted by w symbol.

How to calculate Distance between Plates given Discharge using this online calculator? To use this online calculator for Distance between Plates given Discharge, enter Discharge in Laminar Flow (Q), Dynamic Viscosity viscosity) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Distance between Plates given Discharge calculation can be explained with given input values -> 0.631636 = ((55*12*1.02)/17)^(1/3).

FAQ

What is Distance between Plates given Discharge?
The Distance between Plates given Discharge is defined as the distance between two plates of a flow channel can be determined by measuring the discharge rate of fluid passing through the channel and is represented as w = ((Q*12*μviscosity)/dp|dr)^(1/3) or Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3). Discharge in Laminar Flow is the fluid flowing per second through a channel or section of a pipe, 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.
How to calculate Distance between Plates given Discharge?
The Distance between Plates given Discharge is defined as the distance between two plates of a flow channel can be determined by measuring the discharge rate of fluid passing through the channel is calculated using Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3). To calculate Distance between Plates given Discharge, you need Discharge in Laminar Flow (Q), Dynamic Viscosity viscosity) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Discharge in Laminar Flow, Dynamic Viscosity & 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 Discharge in Laminar Flow, Dynamic Viscosity & 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 = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient))
  • 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))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!