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Dynamic Viscosity for Discharge through Pipe Formula

GoDynamic Viscosity given Pressure Gradient at Cylindrical Element Formula

GoDynamic Viscosity given Velocity at any point in 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{π}{8 \cdot Q}) \cdot (R^{4}) \cdot dp|dr

μ - Dynamic Viscosity?Q - Discharge in Pipe?R - Radius of pipe?dp|dr - Pressure Gradient?π - Archimedes' constant?

Dynamic Viscosity for Discharge through Pipe Example

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Here is how the Dynamic Viscosity for Discharge through Pipe equation looks like with Values.

Here is how the Dynamic Viscosity for Discharge through Pipe equation looks like with Units.

Here is how the Dynamic Viscosity for Discharge through Pipe equation looks like.

0.0242 = (\frac{3.1416}{8 \cdot 1}) \cdot (138^{4}) \cdot 17

0.0242P = (\frac{3.1416}{8 \cdot 1m³/s}) \cdot ({138mm}^{4}) \cdot 17N/m³

0.0242 = (\frac{3.1416}{8 \cdot 1}) \cdot (138^{4}) \cdot 17

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Dynamic Viscosity for Discharge through Pipe Solution

Follow our step by step solution on how to calculate Dynamic Viscosity for Discharge through Pipe?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ = (\frac{π}{8 \cdot 1m³/s}) \cdot ({138mm}^{4}) \cdot 17N/m³

Next Step Substitute values of Constants

∴

μ = (\frac{3.1416}{8 \cdot 1m³/s}) \cdot ({138mm}^{4}) \cdot 17N/m³

Next Step Convert Units

∴

μ = (\frac{3.1416}{8 \cdot 1m³/s}) \cdot ({0.138m}^{4}) \cdot 17N/m³

Next Step Prepare to Evaluate

∴

μ = (\frac{3.1416}{8 \cdot 1}) \cdot ({0.138}^{4}) \cdot 17

Next Step Evaluate

∴

μ = 0.00242116684642861Pa*s

Next Step Convert to Output's Unit

∴

μ = 0.0242116684642861P

LAST Step Rounding Answer

∴

μ = 0.0242P

Dynamic Viscosity for Discharge through Pipe Formula Elements

Variables

Constants

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

Discharge in Pipe

The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge in Pipe

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

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Velocity at any point in Cylindrical Element

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

Go Dynamic Viscosity given Maximum Velocity at Axis of Cylindrical Element

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

How to Evaluate Dynamic Viscosity for Discharge through Pipe?

Dynamic Viscosity for Discharge through Pipe evaluator uses Dynamic Viscosity = (pi/(8*Discharge in Pipe))*(Radius of pipe^4)*Pressure Gradient to evaluate 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 evaluate Dynamic Viscosity for Discharge through Pipe using this online evaluator? To use this online evaluator 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.

FAQs on Dynamic Viscosity for Discharge through Pipe

What is the formula to find Dynamic Viscosity for Discharge through Pipe?

The formula of Dynamic Viscosity for Discharge through Pipe is expressed as Dynamic Viscosity = (pi/(8*Discharge in Pipe))*(Radius of pipe^4)*Pressure Gradient. Here is an example- 0.242117 = (pi/(8*1.000001))*(0.138^4)*17.

How to calculate Dynamic Viscosity for Discharge through Pipe?

With Discharge in Pipe (Q), Radius of pipe (R) & Pressure Gradient (dp|dr) we can find Dynamic Viscosity for Discharge through Pipe using the formula - Dynamic Viscosity = (pi/(8*Discharge in Pipe))*(Radius of pipe^4)*Pressure Gradient. This formula also uses Archimedes' constant .

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

Can the Dynamic Viscosity for Discharge through Pipe be negative?

No, the Dynamic Viscosity for Discharge through Pipe, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Dynamic Viscosity for Discharge through Pipe?

Dynamic Viscosity for Discharge through Pipe 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 for Discharge through Pipe can be measured.

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Dynamic Viscosity for Discharge through Pipe Formula

​GoDynamic Viscosity given Pressure Gradient at Cylindrical Element Formula

​GoDynamic Viscosity given Velocity at any point in Cylindrical Element Formula

Dynamic Viscosity for Discharge through Pipe Example

Dynamic Viscosity for Discharge through Pipe Solution

Dynamic Viscosity for Discharge through Pipe Formula Elements

Other Formulas to find Dynamic Viscosity

How to Evaluate Dynamic Viscosity for Discharge through Pipe?

FAQs on Dynamic Viscosity for Discharge through Pipe

Variable Name

GoDynamic Viscosity given Pressure Gradient at Cylindrical Element Formula

GoDynamic Viscosity given Velocity at any point in Cylindrical Element Formula