Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element Calculator

✖The Maximum Velocity refers to the highest speed at which fluid can flow through a system without causing damage or inefficiency.ⓘ Maximum Velocity [V_max]			+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 Radius of Pipe refers to the distance from the center of the pipe to its inner wall.ⓘ Radius of pipe [R]			+10% -10%

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element [μ]

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Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Radius of pipe^2)
μ = (1/(4*V_max))*dp|dr*(R^2)
This formula uses 4 Variables

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.
Maximum Velocity - (Measured in Meter per Second) - The Maximum Velocity refers to the highest speed at which fluid can flow through a system without causing damage or inefficiency.
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.
Radius of pipe - (Measured in Meter) - The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.

STEP 1: Convert Input(s) to Base Unit

Maximum Velocity: 20.2 Meter per Second --> 20.2 Meter per Second No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Radius of pipe: 138 Millimeter --> 0.138 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (1/(4*V_max))*dp|dr*(R^2) --> (1/(4*20.2))*17*(0.138^2)

Evaluating ... ...

μ = 0.00400678217821782

STEP 3: Convert Result to Output's Unit

0.00400678217821782 Pascal Second -->0.0400678217821782 Poise (Check conversion here)

FINAL ANSWER

0.0400678217821782 ≈ 0.040068 Poise <-- Dynamic Viscosity

(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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< 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 given Maximum Velocity at Axis of Cylindrical Element Formula

LaTeX Go

Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Radius of pipe^2)
μ = (1/(4*V_max))*dp|dr*(R^2)

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 given Maximum Velocity at Axis of Cylindrical Element?

Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element calculator uses Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Radius of pipe^2) to calculate the Dynamic Viscosity, The Dynamic Viscosity given Maximum Velocity at axis of Cylindrical Element formula is defined as resistance offered by liquid. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element using this online calculator? To use this online calculator for Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element, enter Maximum Velocity (V_max), Pressure Gradient (dp|dr) & Radius of pipe (R) and hit the calculate button. Here is how the Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element calculation can be explained with given input values -> 0.435145 = (1/(4*20.2))*17*(0.138^2).

FAQ

What is Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element?

The Dynamic Viscosity given Maximum Velocity at axis of Cylindrical Element formula is defined as resistance offered by liquid and is represented as μ = (1/(4*V_max))*dp|dr*(R^2) or Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Radius of pipe^2). The Maximum Velocity refers to the highest speed at which fluid can flow through a system without causing damage or inefficiency, 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 & The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.

How to calculate Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element?

The Dynamic Viscosity given Maximum Velocity at axis of Cylindrical Element formula is defined as resistance offered by liquid is calculated using Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Radius of pipe^2). To calculate Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element, you need Maximum Velocity (V_max), Pressure Gradient (dp|dr) & Radius of pipe (R). With our tool, you need to enter the respective value for Maximum Velocity, Pressure Gradient & Radius of pipe 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 Maximum Velocity, Pressure Gradient & Radius of pipe. 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 = (pi/(8*Discharge in Pipe))*(Radius of pipe^4)*Pressure Gradient

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