Discharge given Viscosity Calculator

✖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.ⓘ Width [w]			+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%

✖Discharge in Laminar Flow is the fluid flowing per second through a channel or section of a pipe.ⓘ Discharge given Viscosity [Q]

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Formula

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Discharge given Viscosity

Formula

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

Example

`"37.5m³/s"="17N/m³"*(("3m")^3)/(12*"10.2P")`

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Discharge given Viscosity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity)
Q = dp|dr*(w^3)/(12*μ_viscosity)
This formula uses 4 Variables

Variables Used

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.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
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.

STEP 1: Convert Input(s) to Base Unit

Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Width: 3 Meter --> 3 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = dp|dr*(w^3)/(12*μ_viscosity) --> 17*(3^3)/(12*1.02)

Evaluating ... ...

Q = 37.5

STEP 3: Convert Result to Output's Unit

37.5 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

37.5 Cubic Meter per Second <-- Discharge in Laminar Flow

(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

Discharge given Viscosity Formula

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

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 Discharge given Viscosity?

Discharge given Viscosity calculator uses Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity) to calculate the Discharge in Laminar Flow, The Discharge given Viscosity is given is defined as the amount of fluid carrying through the between the pipes in the flow stream measured at a section. Discharge in Laminar Flow is denoted by Q symbol.

How to calculate Discharge given Viscosity using this online calculator? To use this online calculator for Discharge given Viscosity, enter Pressure Gradient (dp|dr), Width (w) & Dynamic Viscosity (μ_viscosity) and hit the calculate button. Here is how the Discharge given Viscosity calculation can be explained with given input values -> 37.5 = 17*(3^3)/(12*1.02).

FAQ

What is Discharge given Viscosity?

The Discharge given Viscosity is given is defined as the amount of fluid carrying through the between the pipes in the flow stream measured at a section and is represented as Q = dp|dr*(w^3)/(12*μ_viscosity) or Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity). Pressure Gradient is the change in pressure with respect to radial distance of element, Width is the measurement or extent of something from side to side & The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

How to calculate Discharge given Viscosity?

The Discharge given Viscosity is given is defined as the amount of fluid carrying through the between the pipes in the flow stream measured at a section is calculated using Discharge in Laminar Flow = Pressure Gradient*(Width^3)/(12*Dynamic Viscosity). To calculate Discharge given Viscosity, you need Pressure Gradient (dp|dr), Width (w) & Dynamic Viscosity (μ_viscosity). With our tool, you need to enter the respective value for Pressure Gradient, Width & Dynamic Viscosity 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 Discharge in Laminar Flow?

In this formula, Discharge in Laminar Flow uses Pressure Gradient, Width & Dynamic Viscosity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Discharge in Laminar Flow = Width*Mean Velocity

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