Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element Calculator

✖Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time.ⓘ Maximum Velocity [V_max]			+10% -10%
✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+10% -10%
✖The Pipe Radius is the radius of the pipe through which the fluid is flowing.ⓘ Pipe Radius [R]			+10% -10%

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element [μ_viscosity]

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Formula

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Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element

Formula

`"μ"_{"viscosity"} = (1/(4*"V"_{"max"}))*"dp|dr"*("R"^2)`

Example

`"0.043515P"=(1/(4*"18.6m/s"))*"17N/m³"*(("138mm")^2)`

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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*(Pipe Radius^2)
μ_viscosity = (1/(4*V_max))*dp|dr*(R^2)
This formula uses 4 Variables

Variables Used

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.
Maximum Velocity - (Measured in Meter per Second) - Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid is flowing.

STEP 1: Convert Input(s) to Base Unit

Maximum Velocity: 18.6 Meter per Second --> 18.6 Meter per Second No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Pipe Radius: 138 Millimeter --> 0.138 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_viscosity = (1/(4*V_max))*dp|dr*(R^2) --> (1/(4*18.6))*17*(0.138^2)

Evaluating ... ...

μ_viscosity = 0.00435145161290323

STEP 3: Convert Result to Output's Unit

0.00435145161290323 Pascal Second -->0.0435145161290323 Poise (Check conversion here)

FINAL ANSWER

0.0435145161290323 ≈ 0.043515 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 4 Dynamic Viscosity Calculators

Dynamic Viscosity given Velocity at any point in Cylindrical Element

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

Dynamic Viscosity for Discharge through Pipe

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

Dynamic Viscosity given Pressure Gradient at Cylindrical Element

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

Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element

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

Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element Formula

Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Pipe Radius^2)
μ_viscosity = (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*(Pipe Radius^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_viscosity 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) & Pipe Radius (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*18.6))*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_viscosity = (1/(4*V_max))*dp|dr*(R^2) or Dynamic Viscosity = (1/(4*Maximum Velocity))*Pressure Gradient*(Pipe Radius^2). Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time, Pressure Gradient is the change in pressure with respect to radial distance of element & The Pipe Radius is the radius of the pipe through which the fluid is flowing.

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*(Pipe Radius^2). To calculate Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element, you need Maximum Velocity (V_max), Pressure Gradient (dp|dr) & Pipe Radius (R). With our tool, you need to enter the respective value for Maximum Velocity, Pressure Gradient & Pipe Radius 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 & Pipe Radius. 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 in Pipe))*Pressure Gradient*((Pipe Radius^2)-(Radial Distance^2))
Dynamic Viscosity = (pi/(8*Discharge in pipe))*(Pipe Radius^4)*Pressure Gradient

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