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Velocity Gradient given Piezometric Gradient with Shear Stress 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 = (\frac{γ f}{μ}) \cdot dh /dx \cdot 0.5 \cdot d radial

V_G - Velocity Gradient?γ_f - Specific Weight of Liquid?μ - Dynamic Viscosity?dh_/dx - Piezometric Gradient?d_radial - Radial Distance?

Velocity Gradient given Piezometric Gradient with Shear Stress Example

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Here is how the Velocity Gradient given Piezometric Gradient with Shear Stress equation looks like with Values.

Here is how the Velocity Gradient given Piezometric Gradient with Shear Stress equation looks like with Units.

Here is how the Velocity Gradient given Piezometric Gradient with Shear Stress equation looks like.

442411.7647 = (\frac{9.81}{10.2}) \cdot 10 \cdot 0.5 \cdot 9.2

442411.7647m/s = (\frac{9.81kN/m³}{10.2P}) \cdot 10 \cdot 0.5 \cdot 9.2m

442411.7647 = (\frac{9.81}{10.2}) \cdot 10 \cdot 0.5 \cdot 9.2

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Velocity Gradient given Piezometric Gradient with Shear Stress Solution

Follow our step by step solution on how to calculate Velocity Gradient given Piezometric Gradient with Shear Stress?

FIRST Step Consider the formula

V G = (\frac{γ f}{μ}) \cdot dh /dx \cdot 0.5 \cdot d radial

Next Step Substitute values of Variables

∴

V G = (\frac{9.81kN/m³}{10.2P}) \cdot 10 \cdot 0.5 \cdot 9.2m

Next Step Convert Units

∴

V G = (\frac{9810N/m³}{1.02Pa*s}) \cdot 10 \cdot 0.5 \cdot 9.2m

Next Step Prepare to Evaluate

∴

V G = (\frac{9810}{1.02}) \cdot 10 \cdot 0.5 \cdot 9.2

Next Step Evaluate

∴

V G = 442411.764705882m/s

LAST Step Rounding Answer

∴

V G = 442411.7647m/s

Velocity Gradient given Piezometric Gradient with Shear Stress Formula Elements

Variables

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

Specific Weight of Liquid

The Specific Weight of Liquid refers to the weight per unit volume of that substance.

Symbol: γ_f

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight 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

Piezometric Gradient

The Piezometric Gradient refers to the measure of the change in hydraulic head (or piezometric head) per unit distance in a given direction within a fluid system.

Symbol: dh_/dx

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Piezometric Gradient

Radial Distance

The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

Symbol: d_radial

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance

Other formulas in Laminar Flow Through Inclined Pipes category

Go Shear Stresses

𝜏 = γ f \cdot dh /dx \cdot \frac{d radial}{2}

Go Radius of Elemental Section of Pipe given Shear Stress

d radial = \frac{2 \cdot 𝜏}{γ f \cdot dh /dx}

Go Specific Weight of Fluid given Shear Stress

γ f = \frac{2 \cdot 𝜏}{d radial \cdot dh /dx}

Go Piezometric Gradient given Shear Stress

dh /dx = \frac{2 \cdot 𝜏}{γ f \cdot d radial}

How to Evaluate Velocity Gradient given Piezometric Gradient with Shear Stress?

Velocity Gradient given Piezometric Gradient with Shear Stress evaluator uses Velocity Gradient = (Specific Weight of Liquid/Dynamic Viscosity)*Piezometric Gradient*0.5*Radial Distance to evaluate the Velocity Gradient, The Velocity Gradient given Piezometric Gradient with Shear Stress is defined as change in velocity with respect to radial distance. Velocity Gradient is denoted by V_G symbol.

How to evaluate Velocity Gradient given Piezometric Gradient with Shear Stress using this online evaluator? To use this online evaluator for Velocity Gradient given Piezometric Gradient with Shear Stress, enter Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ), Piezometric Gradient (dh_/dx) & Radial Distance (d_radial) and hit the calculate button.

FAQs on Velocity Gradient given Piezometric Gradient with Shear Stress

What is the formula to find Velocity Gradient given Piezometric Gradient with Shear Stress?

The formula of Velocity Gradient given Piezometric Gradient with Shear Stress is expressed as Velocity Gradient = (Specific Weight of Liquid/Dynamic Viscosity)*Piezometric Gradient*0.5*Radial Distance. Here is an example- 442411.8 = (9810/1.02)*10*0.5*9.2.

How to calculate Velocity Gradient given Piezometric Gradient with Shear Stress?

With Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ), Piezometric Gradient (dh_/dx) & Radial Distance (d_radial) we can find Velocity Gradient given Piezometric Gradient with Shear Stress using the formula - Velocity Gradient = (Specific Weight of Liquid/Dynamic Viscosity)*Piezometric Gradient*0.5*Radial Distance.

Can the Velocity Gradient given Piezometric Gradient with Shear Stress be negative?

No, the Velocity Gradient given Piezometric Gradient with Shear Stress, measured in Speed cannot be negative.

Which unit is used to measure Velocity Gradient given Piezometric Gradient with Shear Stress?

Velocity Gradient given Piezometric Gradient with 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 Velocity Gradient given Piezometric Gradient with Shear Stress can be measured.

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Velocity Gradient given Piezometric Gradient with Shear Stress Formula

Velocity Gradient given Piezometric Gradient with Shear Stress Example

Velocity Gradient given Piezometric Gradient with Shear Stress Solution

Velocity Gradient given Piezometric Gradient with Shear Stress Formula Elements

Other formulas in Laminar Flow Through Inclined Pipes category

How to Evaluate Velocity Gradient given Piezometric Gradient with Shear Stress?

FAQs on Velocity Gradient given Piezometric Gradient with Shear Stress

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