Dynamic Viscosity given Velocity at any point in Cylindrical Element Calculator

✖The Fluid Velocity refers to the speed at which a fluid flows through a pipe. It is typically measured in meters per second (m/s) or feet per second (ft/s).ⓘ Fluid Velocity [v_Fluid]			+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 Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.ⓘ Radial Distance [d_radial]			+10% -10%

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

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Dynamic Viscosity given Velocity at any point in Cylindrical Element Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = -(1/(4*Fluid Velocity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2))
μ = -(1/(4*v_Fluid))*dp|dr*((R^2)-(d_radial^2))
This formula uses 5 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.
Fluid Velocity - (Measured in Meter per Second) - The Fluid Velocity refers to the speed at which a fluid flows through a pipe. It is typically measured in meters per second (m/s) or feet per second (ft/s).
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.
Radial Distance - (Measured in Meter) - The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

STEP 1: Convert Input(s) to Base Unit

Fluid Velocity: 353 Meter per Second --> 353 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)
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = -(1/(4*v_Fluid))*dp|dr*((R^2)-(d_radial^2)) --> -(1/(4*353))*17*((0.138^2)-(9.2^2))

Evaluating ... ...

μ = 1.01880754390935

STEP 3: Convert Result to Output's Unit

1.01880754390935 Pascal Second -->10.1880754390935 Poise (Check conversion here)

FINAL ANSWER

10.1880754390935 ≈ 10.18808 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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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 Velocity at any point in Cylindrical Element Formula

LaTeX Go

Dynamic Viscosity = -(1/(4*Fluid Velocity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2))
μ = -(1/(4*v_Fluid))*dp|dr*((R^2)-(d_radial^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 Velocity at any point in Cylindrical Element?

Dynamic Viscosity given Velocity at any point in Cylindrical Element calculator uses Dynamic Viscosity = -(1/(4*Fluid Velocity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2)) to calculate the Dynamic Viscosity, The Dynamic Viscosity given Velocity at any point in Cylindrical Element formula is defined as resistance offered by the fluid. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity given Velocity at any point in Cylindrical Element using this online calculator? To use this online calculator for Dynamic Viscosity given Velocity at any point in Cylindrical Element, enter Fluid Velocity (v_Fluid), Pressure Gradient (dp|dr), Radius of pipe (R) & Radial Distance (d_radial) and hit the calculate button. Here is how the Dynamic Viscosity given Velocity at any point in Cylindrical Element calculation can be explained with given input values -> 119.8797 = -(1/(4*353))*17*((0.138^2)-(9.2^2)).

FAQ

What is Dynamic Viscosity given Velocity at any point in Cylindrical Element?

The Dynamic Viscosity given Velocity at any point in Cylindrical Element formula is defined as resistance offered by the fluid and is represented as μ = -(1/(4*v_Fluid))*dp|dr*((R^2)-(d_radial^2)) or Dynamic Viscosity = -(1/(4*Fluid Velocity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2)). The Fluid Velocity refers to the speed at which a fluid flows through a pipe. It is typically measured in meters per second (m/s) or feet per second (ft/s), 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 & The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

How to calculate Dynamic Viscosity given Velocity at any point in Cylindrical Element?

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

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