Distance between Plates given Discharge Calculator

✖Discharge in Laminar Flow is the fluid flowing per second through a channel or section of a pipe.ⓘ Discharge in Laminar Flow [Q]			+10% -10%
✖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%
✖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 Discharge [w]

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Formula

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Distance between Plates given Discharge

Formula

`"w" = (("Q"*12*"μ"_{"viscosity"})/"dp|dr")^(1/3)`

Example

`"3.408514m"=(("55m³/s"*12*"10.2P")/"17N/m³")^(1/3)`

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

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*μ_viscosity)/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*μ_viscosity)/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)

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Created by Rithik Agrawal

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 Discharge Formula

Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3)
w = ((Q*12*μ_viscosity)/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 (μ_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*μ_viscosity)/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 (μ_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))

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