Dynamic Viscosity for Discharge through Pipe Calculator

✖The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.ⓘ Discharge in Pipe [Q]			+10% -10%
✖The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.ⓘ Radius of pipe [R]			+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%

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity for Discharge through Pipe [μ]

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Dynamic Viscosity for Discharge through Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = (pi/(8*Discharge in Pipe))*(Radius of pipe^4)*Pressure Gradient
μ = (pi/(8*Q))*(R^4)*dp|dr
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Discharge in Pipe - (Measured in Cubic Meter per Second) - The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.
Radius of pipe - (Measured in Meter) - The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.
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 Pipe: 1.000001 Cubic Meter per Second --> 1.000001 Cubic Meter per Second No Conversion Required
Radius of pipe: 138 Millimeter --> 0.138 Meter (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

μ = (pi/(8*Q))*(R^4)*dp|dr --> (pi/(8*1.000001))*(0.138^4)*17

Evaluating ... ...

μ = 0.00242116684642861

STEP 3: Convert Result to Output's Unit

0.00242116684642861 Pascal Second -->0.0242116684642861 Poise (Check conversion here)

FINAL ANSWER

0.0242116684642861 ≈ 0.024212 Poise <-- Dynamic Viscosity

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Dynamic Viscosity Calculators

Dynamic Viscosity given Velocity at any point in Cylindrical Element

LaTeX Go Dynamic Viscosity = -(1/(4*Fluid Velocity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2))

Dynamic Viscosity for Discharge through Pipe

LaTeX Go Dynamic Viscosity = (pi/(8*Discharge in Pipe))*(Radius of pipe^4)*Pressure Gradient

Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element

LaTeX Go Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Radius of pipe^2)

Dynamic Viscosity given Pressure Gradient at Cylindrical Element

LaTeX Go Dynamic Viscosity = (1/(2*Velocity Gradient))*Pressure Gradient*Radial Distance

Dynamic Viscosity for Discharge through Pipe Formula

LaTeX Go

Dynamic Viscosity = (pi/(8*Discharge in Pipe))*(Radius of pipe^4)*Pressure Gradient
μ = (pi/(8*Q))*(R^4)*dp|dr

What is Dynamic Viscosity ?

Dynamic viscosity (also known as absolute viscosity) is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density.

How to Calculate Dynamic Viscosity for Discharge through Pipe?

Dynamic Viscosity for Discharge through Pipe calculator uses Dynamic Viscosity = (pi/(8*Discharge in Pipe))*(Radius of pipe^4)*Pressure Gradient to calculate the Dynamic Viscosity, The Dynamic Viscosity for Discharge through Pipe is defined as resistance offered by the liquid to flow. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity for Discharge through Pipe using this online calculator? To use this online calculator for Dynamic Viscosity for Discharge through Pipe, enter Discharge in Pipe (Q), Radius of pipe (R) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Dynamic Viscosity for Discharge through Pipe calculation can be explained with given input values -> 0.242117 = (pi/(8*1.000001))*(0.138^4)*17.

FAQ

What is Dynamic Viscosity for Discharge through Pipe?

The Dynamic Viscosity for Discharge through Pipe is defined as resistance offered by the liquid to flow and is represented as μ = (pi/(8*Q))*(R^4)*dp|dr or Dynamic Viscosity = (pi/(8*Discharge in Pipe))*(Radius of pipe^4)*Pressure Gradient. The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time, The Radius of Pipe refers to the distance from the center of the pipe to its inner wall & 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 Dynamic Viscosity for Discharge through Pipe?

The Dynamic Viscosity for Discharge through Pipe is defined as resistance offered by the liquid to flow is calculated using Dynamic Viscosity = (pi/(8*Discharge in Pipe))*(Radius of pipe^4)*Pressure Gradient. To calculate Dynamic Viscosity for Discharge through Pipe, you need Discharge in Pipe (Q), Radius of pipe (R) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Discharge in Pipe, Radius of pipe & 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 Dynamic Viscosity?

In this formula, Dynamic Viscosity uses Discharge in Pipe, Radius of pipe & Pressure Gradient. We can use 3 other way(s) to calculate the same, which is/are as follows -

Dynamic Viscosity = (1/(2*Velocity Gradient))*Pressure Gradient*Radial Distance
Dynamic Viscosity = -(1/(4*Fluid Velocity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2))
Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Radius of pipe^2)

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