Distance between Plates given Discharge Calculator

✖The Discharge in Laminar Flow refers to the fluid flowing per second through a channel or section of a pipe.ⓘ Discharge in Laminar Flow [Q]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+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 Discharge [w]

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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)/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) - The Discharge in Laminar Flow refers to the fluid flowing per second through a channel or section of a pipe.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
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

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)/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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< 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 Discharge Formula

LaTeX Go

Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3)
w = ((Q*12*μ)/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) & 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)/dp|dr)^(1/3) or Width = ((Discharge in Laminar Flow*12*Dynamic Viscosity)/Pressure Gradient)^(1/3). The Discharge in Laminar Flow refers to the fluid flowing per second through a channel or section of a pipe, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied & 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 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) & 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 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/Mean Velocity

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