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Dynamic Viscosity given Stress Formula

GoDynamic Viscosity given Flow Velocity 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 = (𝜏 + dp|dr \cdot (0.5 \cdot D - R)) \cdot (\frac{w}{V mean})

μ - Dynamic Viscosity?𝜏 - Shear Stress?dp|dr - Pressure Gradient?D - Distance between plates?R - Horizontal Distance?w - Width?V_mean - Mean Velocity?

Dynamic Viscosity given Stress Example

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

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

Here is how the Dynamic Viscosity given Stress equation looks like.

5.7817 = (45.9 + 17 \cdot (0.5 \cdot 2.9 - 4)) \cdot (\frac{2.29}{10.1})

5.7817P = (45.9Pa + 17N/m³ \cdot (0.5 \cdot 2.9 - 4m)) \cdot (\frac{2.29m}{10.1m/s})

5.7817 = (45.9 + 17 \cdot (0.5 \cdot 2.9 - 4)) \cdot (\frac{2.29}{10.1})

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Dynamic Viscosity given Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ = (45.9Pa + 17N/m³ \cdot (0.5 \cdot 2.9 - 4m)) \cdot (\frac{2.29m}{10.1m/s})

Next Step Prepare to Evaluate

∴

μ = (45.9 + 17 \cdot (0.5 \cdot 2.9 - 4)) \cdot (\frac{2.29}{10.1})

Next Step Evaluate

∴

μ = 0.578168316831684Pa*s

Next Step Convert to Output's Unit

∴

μ = 5.78168316831684P

LAST Step Rounding Answer

∴

μ = 5.7817P

Dynamic Viscosity given Stress 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

Shear Stress

Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

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

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

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

Other Formulas to find Dynamic Viscosity

Go Dynamic Viscosity given Flow Velocity

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

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 Stress?

Dynamic Viscosity given Stress evaluator uses Dynamic Viscosity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Width/Mean Velocity) to evaluate the Dynamic Viscosity, The Dynamic Viscosity given Stress formula is defined as the resistance offered by the fluid on the relative motion of object in the liquid phase. Dynamic Viscosity is denoted by μ symbol.

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

FAQs on Dynamic Viscosity given Stress

What is the formula to find Dynamic Viscosity given Stress?

The formula of Dynamic Viscosity given Stress is expressed as Dynamic Viscosity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Width/Mean Velocity). Here is an example- 75.74257 = (45.9+17*(0.5*2.9-4))*(2.29/10.1).

How to calculate Dynamic Viscosity given Stress?

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

What are the other ways to Calculate Dynamic Viscosity?

Here are the different ways to Calculate Dynamic Viscosity-

Dynamic Viscosity=((0.5*Pressure Gradient*(Distance between plates*Horizontal Distance-Horizontal Distance^2)))/((Mean Velocity*Horizontal Distance/Width)-Flow velocity)

Can the Dynamic Viscosity given Stress be negative?

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

Which unit is used to measure Dynamic Viscosity given Stress?

Dynamic Viscosity given Stress 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 Stress can be measured.

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Dynamic Viscosity given Stress Formula

​GoDynamic Viscosity given Flow Velocity Formula

Dynamic Viscosity given Stress Example

Dynamic Viscosity given Stress Solution

Dynamic Viscosity given Stress 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 Stress?

FAQs on Dynamic Viscosity given Stress

Variable Name

GoDynamic Viscosity given Flow Velocity Formula