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Velocity Gradients Formula

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The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid. Check FAQs

V G = π \cdot r 2 \cdot \frac{Ω}{30 \cdot (r 2 - r 1)}

V_G - Velocity Gradient?r₂ - Radius of Outer Cylinder?Ω - Angular Speed?r₁ - Radius of Inner Cylinder?π - Archimedes' constant?

Velocity Gradients Example

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Here is how the Velocity Gradients equation looks like with Values.

Here is how the Velocity Gradients equation looks like with Units.

Here is how the Velocity Gradients equation looks like.

42.7683 = 3.1416 \cdot 13 \cdot \frac{5}{30 \cdot (13 - 12)}

42.7683m/s = 3.1416 \cdot 13m \cdot \frac{5rev/s}{30 \cdot (13m - 12m)}

42.7683 = 3.1416 \cdot 13 \cdot \frac{5}{30 \cdot (13 - 12)}

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Velocity Gradients Solution

Follow our step by step solution on how to calculate Velocity Gradients?

FIRST Step Consider the formula

V G = π \cdot r 2 \cdot \frac{Ω}{30 \cdot (r 2 - r 1)}

Next Step Substitute values of Variables

∴

V G = π \cdot 13m \cdot \frac{5rev/s}{30 \cdot (13m - 12m)}

Next Step Substitute values of Constants

∴

V G = 3.1416 \cdot 13m \cdot \frac{5rev/s}{30 \cdot (13m - 12m)}

Next Step Convert Units

∴

V G = 3.1416 \cdot 13m \cdot \frac{31.4159rad/s}{30 \cdot (13m - 12m)}

Next Step Prepare to Evaluate

∴

V G = 3.1416 \cdot 13 \cdot \frac{31.4159}{30 \cdot (13 - 12)}

Next Step Evaluate

∴

V G = 42.7682857358759m/s

LAST Step Rounding Answer

∴

V G = 42.7683m/s

Velocity Gradients Formula Elements

Variables

Constants

Velocity Gradient

The Velocity Gradient refers to the difference in velocity between the adjacent layers of the fluid.

Symbol: V_G

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity Gradient

Radius of Outer Cylinder

The Radius of Outer Cylinder refers to the spacing for measuring fluid viscosity based on inner cylinder rotation.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Outer Cylinder

Angular Speed

The Angular Speed refers to the rate of change of angular displacement.

Symbol: Ω

Measurement: Angular VelocityUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Angular Speed

Radius of Inner Cylinder

The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Inner Cylinder

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 in Coaxial Cylinder Viscometers category

Go Torque exerted on Inner Cylinder

Τ Torque = 2 \cdot ({(r 1)}^{2}) \cdot h \cdot 𝜏

Go Radius of Inner Cylinder given Torque exerted on Inner Cylinder

r 1 = \sqrt{\frac{T}{2 \cdot π \cdot h \cdot 𝜏}}

Go Height of Cylinder given Torque exerted on Inner Cylinder

h = \frac{T}{2 \cdot π \cdot ({(r 1)}^{2}) \cdot 𝜏}

Go Shear Stress on Cylinder given Torque exerted on Inner Cylinder

𝜏 = \frac{T}{2 \cdot π \cdot ({(r 1)}^{2}) \cdot h}

How to Evaluate Velocity Gradients?

Velocity Gradients evaluator uses Velocity Gradient = pi*Radius of Outer Cylinder*Angular Speed/(30*(Radius of Outer Cylinder-Radius of Inner Cylinder)) to evaluate the Velocity Gradient, The Velocity Gradients formula is defined as the change in velocity with respect to change in distance along the measured direction. Velocity Gradient is denoted by V_G symbol.

How to evaluate Velocity Gradients using this online evaluator? To use this online evaluator for Velocity Gradients, enter Radius of Outer Cylinder (r₂), Angular Speed (Ω) & Radius of Inner Cylinder (r₁) and hit the calculate button.

FAQs on Velocity Gradients

What is the formula to find Velocity Gradients?

The formula of Velocity Gradients is expressed as Velocity Gradient = pi*Radius of Outer Cylinder*Angular Speed/(30*(Radius of Outer Cylinder-Radius of Inner Cylinder)). Here is an example- 42.76829 = pi*13*31.4159265342981/(30*(13-12)).

How to calculate Velocity Gradients?

With Radius of Outer Cylinder (r₂), Angular Speed (Ω) & Radius of Inner Cylinder (r₁) we can find Velocity Gradients using the formula - Velocity Gradient = pi*Radius of Outer Cylinder*Angular Speed/(30*(Radius of Outer Cylinder-Radius of Inner Cylinder)). This formula also uses Archimedes' constant .

Can the Velocity Gradients be negative?

No, the Velocity Gradients, measured in Speed cannot be negative.

Which unit is used to measure Velocity Gradients?

Velocity Gradients 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 Gradients can be measured.

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Velocity Gradients Formula

Velocity Gradients Example

Velocity Gradients Solution

Velocity Gradients Formula Elements

Other formulas in Coaxial Cylinder Viscometers category

How to Evaluate Velocity Gradients?

FAQs on Velocity Gradients

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