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Mean Velocity of Flow given Shear Stress Formula

GoMean Velocity of Flow given Flow Velocity with No Pressure Gradient Formula

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

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

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

Mean Velocity of Flow given Shear Stress Example

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Here is how the Mean Velocity of Flow given Shear Stress equation looks like with Values.

Here is how the Mean Velocity of Flow given Shear Stress equation looks like with Units.

Here is how the Mean Velocity of Flow given Shear Stress equation looks like.

7.25 = (45.9 + 17 \cdot (0.5 \cdot 2.9 - 4)) \cdot (\frac{2.9}{10.2})

7.25m/s = (45.9Pa + 17N/m³ \cdot (0.5 \cdot 2.9 - 4m)) \cdot (\frac{2.9}{10.2P})

7.25 = (45.9 + 17 \cdot (0.5 \cdot 2.9 - 4)) \cdot (\frac{2.9}{10.2})

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Mean Velocity of Flow given Shear Stress Solution

Follow our step by step solution on how to calculate Mean Velocity of Flow given Shear Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V mean = (45.9Pa + 17N/m³ \cdot (0.5 \cdot 2.9 - 4m)) \cdot (\frac{2.9}{10.2P})

Next Step Convert Units

∴

V mean = (45.9Pa + 17N/m³ \cdot (0.5 \cdot 2.9 - 4m)) \cdot (\frac{2.9}{1.02Pa*s})

Next Step Prepare to Evaluate

∴

V mean = (45.9 + 17 \cdot (0.5 \cdot 2.9 - 4)) \cdot (\frac{2.9}{1.02})

Next Step Evaluate

∴

V mean = 7.25000000000001m/s

LAST Step Rounding Answer

∴

V mean = 7.25m/s

Mean Velocity of Flow given Shear Stress Formula Elements

Variables

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

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

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

Other Formulas to find Mean Velocity

Go Mean Velocity of Flow given Flow Velocity with No Pressure Gradient

V mean = D \cdot R

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}

Go Pressure Gradient given Flow Velocity

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

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}

How to Evaluate Mean Velocity of Flow given Shear Stress?

Mean Velocity of Flow given Shear Stress evaluator uses Mean Velocity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Distance between plates/Dynamic Viscosity) to evaluate the Mean Velocity, The Mean Velocity of Flow given Shear Stress is defined as the average velocity flowing throughout the pipe in the stream. Mean Velocity is denoted by V_mean symbol.

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

FAQs on Mean Velocity of Flow given Shear Stress

What is the formula to find Mean Velocity of Flow given Shear Stress?

The formula of Mean Velocity of Flow given Shear Stress is expressed as Mean Velocity = (Shear Stress+Pressure Gradient*(0.5*Distance between plates-Horizontal Distance))*(Distance between plates/Dynamic Viscosity). Here is an example- 7.25 = (45.9+17*(0.5*2.9-4))*(2.9/1.02).

How to calculate Mean Velocity of Flow given Shear Stress?

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

What are the other ways to Calculate Mean Velocity?

Here are the different ways to Calculate Mean Velocity-

Mean Velocity=Distance between plates*Horizontal Distance

Can the Mean Velocity of Flow given Shear Stress be negative?

Yes, the Mean Velocity of Flow given Shear Stress, measured in Speed can be negative.

Which unit is used to measure Mean Velocity of Flow given Shear Stress?

Mean Velocity of Flow given Shear Stress is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Mean Velocity of Flow given Shear Stress can be measured.

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Mean Velocity of Flow given Shear Stress Formula

​GoMean Velocity of Flow given Flow Velocity with No Pressure Gradient Formula

Mean Velocity of Flow given Shear Stress Example

Mean Velocity of Flow given Shear Stress Solution

Mean Velocity of Flow given Shear Stress Formula Elements

Other Formulas to find Mean Velocity

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

How to Evaluate Mean Velocity of Flow given Shear Stress?

FAQs on Mean Velocity of Flow given Shear Stress

Variable Name

GoMean Velocity of Flow given Flow Velocity with No Pressure Gradient Formula