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Velocity Distribution Profile Formula

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The Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel. Check FAQs

v = - (\frac{1}{2 \cdot μ}) \cdot dp|dr \cdot (w \cdot R - (R^{2}))

v - Velocity of Liquid?μ - Dynamic Viscosity?dp|dr - Pressure Gradient?w - Width?R - Horizontal Distance?

Velocity Distribution Profile Example

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Here is how the Velocity Distribution Profile equation looks like with Values.

Here is how the Velocity Distribution Profile equation looks like with Units.

Here is how the Velocity Distribution Profile equation looks like.

224.25 = - (\frac{1}{2 \cdot 10.2}) \cdot 17 \cdot (3 \cdot 6.9 - ({6.9}^{2}))

224.25m/s = - (\frac{1}{2 \cdot 10.2P}) \cdot 17N/m³ \cdot (3m \cdot 6.9m - ({6.9m}^{2}))

224.25 = - (\frac{1}{2 \cdot 10.2}) \cdot 17 \cdot (3 \cdot 6.9 - ({6.9}^{2}))

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Velocity Distribution Profile Solution

Follow our step by step solution on how to calculate Velocity Distribution Profile?

FIRST Step Consider the formula

v = - (\frac{1}{2 \cdot μ}) \cdot dp|dr \cdot (w \cdot R - (R^{2}))

Next Step Substitute values of Variables

∴

v = - (\frac{1}{2 \cdot 10.2P}) \cdot 17N/m³ \cdot (3m \cdot 6.9m - ({6.9m}^{2}))

Next Step Convert Units

∴

v = - (\frac{1}{2 \cdot 1.02Pa*s}) \cdot 17N/m³ \cdot (3m \cdot 6.9m - ({6.9m}^{2}))

Next Step Prepare to Evaluate

∴

v = - (\frac{1}{2 \cdot 1.02}) \cdot 17 \cdot (3 \cdot 6.9 - ({6.9}^{2}))

LAST Step Evaluate

∴

v = 224.25m/s

Velocity Distribution Profile Formula Elements

Variables

Velocity of Liquid

The Velocity of Liquid refers to the speed at which the fluid moves through a pipe or channel.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Liquid

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

Width

Width is 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

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

Other formulas in Laminar Flow between Parallel Plates, both Plates at Rest category

Go Distance between Plates using Velocity Distribution Profile

w = \frac{(\frac{- v \cdot 2 \cdot μ}{dp|dr}) + (R^{2})}{R}

Go Maximum Velocity between Plates

V max = \frac{(w^{2}) \cdot dp|dr}{8 \cdot μ}

Go Distance between Plates given Maximum Velocity between Plates

w = \sqrt{\frac{8 \cdot μ \cdot V max}{dp|dr}}

Go Discharge given Viscosity

Q = dp|dr \cdot \frac{w^{3}}{12 \cdot μ}

How to Evaluate Velocity Distribution Profile?

Velocity Distribution Profile evaluator uses Velocity of Liquid = -(1/(2*Dynamic Viscosity))*Pressure Gradient*(Width*Horizontal Distance-(Horizontal Distance^2)) to evaluate the Velocity of Liquid, The Velocity Distribution Profile is defined as the velocity with respect to plate in the direction of flow in the stream. Velocity of Liquid is denoted by v symbol.

How to evaluate Velocity Distribution Profile using this online evaluator? To use this online evaluator for Velocity Distribution Profile, enter Dynamic Viscosity (μ), Pressure Gradient (dp|dr), Width (w) & Horizontal Distance (R) and hit the calculate button.

FAQs on Velocity Distribution Profile

What is the formula to find Velocity Distribution Profile?

The formula of Velocity Distribution Profile is expressed as Velocity of Liquid = -(1/(2*Dynamic Viscosity))*Pressure Gradient*(Width*Horizontal Distance-(Horizontal Distance^2)). Here is an example- 224.25 = -(1/(2*1.02))*17*(3*6.9-(6.9^2)).

How to calculate Velocity Distribution Profile?

With Dynamic Viscosity (μ), Pressure Gradient (dp|dr), Width (w) & Horizontal Distance (R) we can find Velocity Distribution Profile using the formula - Velocity of Liquid = -(1/(2*Dynamic Viscosity))*Pressure Gradient*(Width*Horizontal Distance-(Horizontal Distance^2)).

Can the Velocity Distribution Profile be negative?

No, the Velocity Distribution Profile, measured in Speed cannot be negative.

Which unit is used to measure Velocity Distribution Profile?

Velocity Distribution Profile 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 Velocity Distribution Profile can be measured.

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Velocity Distribution Profile Formula

Velocity Distribution Profile Example

Velocity Distribution Profile Solution

Velocity Distribution Profile Formula Elements

Other formulas in Laminar Flow between Parallel Plates, both Plates at Rest category

How to Evaluate Velocity Distribution Profile?

FAQs on Velocity Distribution Profile

Variable Name