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Dynamic Viscosity given Flow Velocity Formula

GoDynamic Viscosity given Stress 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{(0.5 \cdot dp|dr \cdot (D \cdot R - R^{2}))}{(V mean \cdot \frac{R}{w}) - V f}

μ - Dynamic Viscosity?dp|dr - Pressure Gradient?D - Distance between plates?R - Horizontal Distance?V_mean - Mean Velocity?w - Width?V_f - Flow velocity?

Dynamic Viscosity given Flow Velocity Example

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Here is how the Dynamic Viscosity given Flow Velocity equation looks like with Values.

Here is how the Dynamic Viscosity given Flow Velocity equation looks like with Units.

Here is how the Dynamic Viscosity given Flow Velocity equation looks like.

12.8266 = \frac{(0.5 \cdot 17 \cdot (2.9 \cdot 4 - 4^{2}))}{(10.1 \cdot \frac{4}{2.29}) - 46.8}

12.8266P = \frac{(0.5 \cdot 17N/m³ \cdot (2.9 \cdot 4m - {4m}^{2}))}{(10.1m/s \cdot \frac{4m}{2.29m}) - 46.8m/s}

12.8266 = \frac{(0.5 \cdot 17 \cdot (2.9 \cdot 4 - 4^{2}))}{(10.1 \cdot \frac{4}{2.29}) - 46.8}

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Dynamic Viscosity given Flow Velocity Solution

Follow our step by step solution on how to calculate Dynamic Viscosity given Flow Velocity?

FIRST Step Consider the formula

μ = \frac{(0.5 \cdot dp|dr \cdot (D \cdot R - R^{2}))}{(V mean \cdot \frac{R}{w}) - V f}

Next Step Substitute values of Variables

∴

μ = \frac{(0.5 \cdot 17N/m³ \cdot (2.9 \cdot 4m - {4m}^{2}))}{(10.1m/s \cdot \frac{4m}{2.29m}) - 46.8m/s}

Next Step Prepare to Evaluate

∴

μ = \frac{(0.5 \cdot 17 \cdot (2.9 \cdot 4 - 4^{2}))}{(10.1 \cdot \frac{4}{2.29}) - 46.8}

Next Step Evaluate

∴

μ = 1.28266339184089Pa*s

Next Step Convert to Output's Unit

∴

μ = 12.8266339184089P

LAST Step Rounding Answer

∴

μ = 12.8266P

Dynamic Viscosity given Flow Velocity 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

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

Distance between plates

Distance between plates is the length of the space between two points.

Symbol: D

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Distance between plates

Horizontal Distance

Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.

Symbol: R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Horizontal Distance

Mean Velocity

Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Width

The Width refers to the measurement or extent of something from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Width

Flow velocity

Flow Velocity is the velocity of the flow of any fluid.

Symbol: V_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Flow velocity

Other Formulas to find Dynamic Viscosity

Go Dynamic Viscosity given Stress

μ = (𝜏 + dp|dr \cdot (0.5 \cdot D - R)) \cdot (\frac{w}{V mean})

Other formulas in Laminar Flow between Parallel Flat Plates, one plate moving and other at rest, Couette Flow category

Go Flow Velocity of Section

V f = (V mean \cdot \frac{R}{w}) - \frac{0.5 \cdot dp|dr \cdot (D \cdot R - R^{2})}{μ}

Go Mean Velocity of Flow given Flow Velocity

V f = (V mean \cdot \frac{R}{w}) - \frac{0.5 \cdot dp|dr \cdot (w \cdot R - R^{2})}{μ}

How to Evaluate Dynamic Viscosity given Flow Velocity?

Dynamic Viscosity given Flow Velocity evaluator uses Dynamic Viscosity = ((0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2)))/((Mean Velocity*Horizontal Distance/Width)-Flow velocity) to evaluate the Dynamic Viscosity, The Dynamic Viscosity given Flow Velocity is defined as the resistance offered by the liquid by the relative motion in the object by flow. Dynamic Viscosity is denoted by μ symbol.

How to evaluate Dynamic Viscosity given Flow Velocity using this online evaluator? To use this online evaluator for Dynamic Viscosity given Flow Velocity, enter Pressure Gradient (dp|dr), Distance between plates (D), Horizontal Distance (R), Mean Velocity (V_mean), Width (w) & Flow velocity (V_f) and hit the calculate button.

FAQs on Dynamic Viscosity given Flow Velocity

What is the formula to find Dynamic Viscosity given Flow Velocity?

The formula of Dynamic Viscosity given Flow Velocity is expressed as Dynamic Viscosity = ((0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2)))/((Mean Velocity*Horizontal Distance/Width)-Flow velocity). Here is an example- 112.2 = ((0.5*17*(2.9*4-4^2)))/((10.1*4/2.29)-46.8).

How to calculate Dynamic Viscosity given Flow Velocity?

With Pressure Gradient (dp|dr), Distance between plates (D), Horizontal Distance (R), Mean Velocity (V_mean), Width (w) & Flow velocity (V_f) we can find Dynamic Viscosity given Flow Velocity using the formula - Dynamic Viscosity = ((0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2)))/((Mean Velocity*Horizontal Distance/Width)-Flow velocity).

What are the other ways to Calculate Dynamic Viscosity?

Here are the different ways to Calculate Dynamic Viscosity-

Dynamic Viscosity=(Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Width/Mean Velocity)

Can the Dynamic Viscosity given Flow Velocity be negative?

No, the Dynamic Viscosity given Flow Velocity, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Dynamic Viscosity given Flow Velocity?

Dynamic Viscosity given Flow Velocity 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 Flow Velocity can be measured.

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Dynamic Viscosity given Flow Velocity Formula

​GoDynamic Viscosity given Stress Formula

Dynamic Viscosity given Flow Velocity Example

Dynamic Viscosity given Flow Velocity Solution

Dynamic Viscosity given Flow Velocity Formula Elements

Other Formulas to find Dynamic Viscosity

Other formulas in Laminar Flow between Parallel Flat Plates, one plate moving and other at rest, Couette Flow category

How to Evaluate Dynamic Viscosity given Flow Velocity?

FAQs on Dynamic Viscosity given Flow Velocity

Variable Name

GoDynamic Viscosity given Stress Formula