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Dynamic Viscosity given Velocity at any point in Cylindrical Element Formula

GoDynamic Viscosity given Pressure Gradient at Cylindrical Element Formula

GoDynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element Formula

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The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied. Check FAQs

μ = - (\frac{1}{4 \cdot v Fluid}) \cdot dp|dr \cdot ((R^{2}) - ({d radial}^{2}))

μ - Dynamic Viscosity?v_Fluid - Fluid Velocity?dp|dr - Pressure Gradient?R - Radius of pipe?d_radial - Radial Distance?

Dynamic Viscosity given Velocity at any point in Cylindrical Element Example

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With units

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Here is how the Dynamic Viscosity given Velocity at any point in Cylindrical Element equation looks like with Values.

Here is how the Dynamic Viscosity given Velocity at any point in Cylindrical Element equation looks like with Units.

Here is how the Dynamic Viscosity given Velocity at any point in Cylindrical Element equation looks like.

10.1881 = - (\frac{1}{4 \cdot 353}) \cdot 17 \cdot ((138^{2}) - ({9.2}^{2}))

10.1881P = - (\frac{1}{4 \cdot 353m/s}) \cdot 17N/m³ \cdot (({138mm}^{2}) - ({9.2m}^{2}))

10.1881 = - (\frac{1}{4 \cdot 353}) \cdot 17 \cdot ((138^{2}) - ({9.2}^{2}))

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Dynamic Viscosity given Velocity at any point in Cylindrical Element Solution

Follow our step by step solution on how to calculate Dynamic Viscosity given Velocity at any point in Cylindrical Element?

FIRST Step Consider the formula

μ = - (\frac{1}{4 \cdot v Fluid}) \cdot dp|dr \cdot ((R^{2}) - ({d radial}^{2}))

Next Step Substitute values of Variables

∴

μ = - (\frac{1}{4 \cdot 353m/s}) \cdot 17N/m³ \cdot (({138mm}^{2}) - ({9.2m}^{2}))

Next Step Convert Units

∴

μ = - (\frac{1}{4 \cdot 353m/s}) \cdot 17N/m³ \cdot (({0.138m}^{2}) - ({9.2m}^{2}))

Next Step Prepare to Evaluate

∴

μ = - (\frac{1}{4 \cdot 353}) \cdot 17 \cdot (({0.138}^{2}) - ({9.2}^{2}))

Next Step Evaluate

∴

μ = 1.01880754390935Pa*s

Next Step Convert to Output's Unit

∴

μ = 10.1880754390935P

LAST Step Rounding Answer

∴

μ = 10.1881P

Dynamic Viscosity given Velocity at any point in Cylindrical Element Formula Elements

Variables

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Fluid Velocity

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).

Symbol: v_Fluid

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Fluid Velocity

Pressure Gradient

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.

Symbol: dp|dr

Measurement: Pressure GradientUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Pressure Gradient

Radius of pipe

The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of pipe

Radial Distance

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.

Symbol: d_radial

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance

Other Formulas to find Dynamic Viscosity

Go Dynamic Viscosity given Pressure Gradient at Cylindrical Element

μ = (\frac{1}{2 \cdot V G}) \cdot dp|dr \cdot d radial

Go Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element

μ = (\frac{1}{4 \cdot V max}) \cdot dp|dr \cdot (R^{2})

Go Dynamic Viscosity for Discharge through Pipe

μ = (\frac{π}{8 \cdot Q}) \cdot (R^{4}) \cdot dp|dr

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

Dynamic Viscosity given Velocity at any point in Cylindrical Element evaluator uses Dynamic Viscosity = -(1/(4*Fluid Velocity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2)) to evaluate 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 evaluate Dynamic Viscosity given Velocity at any point in Cylindrical Element using this online evaluator? To use this online evaluator 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.

FAQs on Dynamic Viscosity given Velocity at any point in Cylindrical Element

What is the formula to find Dynamic Viscosity given Velocity at any point in Cylindrical Element?

The formula of Dynamic Viscosity given Velocity at any point in Cylindrical Element is expressed as Dynamic Viscosity = -(1/(4*Fluid Velocity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2)). Here is an example- 119.8797 = -(1/(4*353))*17*((0.138^2)-(9.2^2)).

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

With Fluid Velocity (v_Fluid), Pressure Gradient (dp|dr), Radius of pipe (R) & Radial Distance (d_radial) we can find Dynamic Viscosity given Velocity at any point in Cylindrical Element using the formula - Dynamic Viscosity = -(1/(4*Fluid Velocity))*Pressure Gradient*((Radius of pipe^2)-(Radial Distance^2)).

What are the other ways to Calculate Dynamic Viscosity?

Here are the different ways to Calculate Dynamic Viscosity-

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

Can the Dynamic Viscosity given Velocity at any point in Cylindrical Element be negative?

No, the Dynamic Viscosity given Velocity at any point in Cylindrical Element, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Dynamic Viscosity given Velocity at any point in Cylindrical Element?

Dynamic Viscosity given Velocity at any point in Cylindrical Element is usually measured using the Poise[P] for Dynamic Viscosity. Pascal Second[P], Newton Second per Square Meter[P], Millinewton Second per Square Meter[P] are the few other units in which Dynamic Viscosity given Velocity at any point in Cylindrical Element can be measured.

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Dynamic Viscosity given Velocity at any point in Cylindrical Element Formula

​GoDynamic Viscosity given Pressure Gradient at Cylindrical Element Formula

​GoDynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element Formula

Dynamic Viscosity given Velocity at any point in Cylindrical Element Example

Dynamic Viscosity given Velocity at any point in Cylindrical Element Solution

Dynamic Viscosity given Velocity at any point in Cylindrical Element Formula Elements

Other Formulas to find Dynamic Viscosity

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

FAQs on Dynamic Viscosity given Velocity at any point in Cylindrical Element

Variable Name

GoDynamic Viscosity given Pressure Gradient at Cylindrical Element Formula

GoDynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element Formula