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Piezometric Gradient given Velocity Gradient with Shear Stress Formula

GoPiezometric Gradient given Shear Stress Formula

GoPiezometric Gradient given Flow Velocity of Stream Formula

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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. Check FAQs

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

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

Piezometric Gradient given Velocity Gradient with Shear Stress Example

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

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

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

0.0017 = \frac{76.6}{(\frac{9.81}{10.2}) \cdot (0.5 \cdot 9.2)}

0.0017 = \frac{76.6m/s}{(\frac{9.81kN/m³}{10.2P}) \cdot (0.5 \cdot 9.2m)}

0.0017 = \frac{76.6}{(\frac{9.81}{10.2}) \cdot (0.5 \cdot 9.2)}

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Piezometric Gradient given Velocity Gradient with Shear Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

dh /dx = \frac{76.6m/s}{(\frac{9.81kN/m³}{10.2P}) \cdot (0.5 \cdot 9.2m)}

Next Step Convert Units

∴

dh /dx = \frac{76.6m/s}{(\frac{9810N/m³}{1.02Pa*s}) \cdot (0.5 \cdot 9.2m)}

Next Step Prepare to Evaluate

∴

dh /dx = \frac{76.6}{(\frac{9810}{1.02}) \cdot (0.5 \cdot 9.2)}

Next Step Evaluate

∴

dh /dx = 0.00173141869432256

LAST Step Rounding Answer

∴

dh /dx = 0.0017

Piezometric Gradient given Velocity Gradient with Shear Stress Formula Elements

Variables

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

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

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 to find Piezometric Gradient

Go Piezometric Gradient given Shear Stress

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

Go Piezometric Gradient given Flow Velocity of Stream

dh /dx = \frac{v}{(\frac{γ f}{4 \cdot μ}) \cdot ({R inclined}^{2} - {d radial}^{2})}

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 Velocity Gradient given Piezometric Gradient with Shear Stress

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

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

Piezometric Gradient given Velocity Gradient with Shear Stress evaluator uses Piezometric Gradient = Velocity Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance)) to evaluate the Piezometric Gradient, The Piezometric Gradient given Velocity Gradient with Shear Stress formula is defined as change in pressure with respect to horizontal distance along pipe. Piezometric Gradient is denoted by dh_/dx symbol.

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

FAQs on Piezometric Gradient given Velocity Gradient with Shear Stress

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

The formula of Piezometric Gradient given Velocity Gradient with Shear Stress is expressed as Piezometric Gradient = Velocity Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance)). Here is an example- 0.001731 = 76.6/((9810/1.02)*(0.5*9.2)).

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

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

What are the other ways to Calculate Piezometric Gradient?

Here are the different ways to Calculate Piezometric Gradient-

Piezometric Gradient=(2*Shear Stress)/(Specific Weight of Liquid*Radial Distance)
Piezometric Gradient=Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2))

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Piezometric Gradient given Velocity Gradient with Shear Stress Formula

​GoPiezometric Gradient given Shear Stress Formula

​GoPiezometric Gradient given Flow Velocity of Stream Formula

Piezometric Gradient given Velocity Gradient with Shear Stress Example

Piezometric Gradient given Velocity Gradient with Shear Stress Solution

Piezometric Gradient given Velocity Gradient with Shear Stress Formula Elements

Other Formulas to find Piezometric Gradient

Other formulas in Laminar Flow Through Inclined Pipes category

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

FAQs on Piezometric Gradient given Velocity Gradient with Shear Stress

Variable Name

GoPiezometric Gradient given Shear Stress Formula

GoPiezometric Gradient given Flow Velocity of Stream Formula