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Piezometric Gradient given Shear Stress Formula

GoPiezometric Gradient given Velocity Gradient with 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{2 \cdot 𝜏}{γ f \cdot d radial}

dh_/dx - Piezometric Gradient?𝜏 - Shear Stress?γ_f - Specific Weight of Liquid?d_radial - Radial Distance?

Piezometric Gradient given Shear Stress Example

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

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

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

0.0021 = \frac{2 \cdot 93.1}{9.81 \cdot 9.2}

0.0021 = \frac{2 \cdot 93.1Pa}{9.81kN/m³ \cdot 9.2m}

0.0021 = \frac{2 \cdot 93.1}{9.81 \cdot 9.2}

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Piezometric Gradient given Shear Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

dh /dx = \frac{2 \cdot 93.1Pa}{9.81kN/m³ \cdot 9.2m}

Next Step Convert Units

∴

dh /dx = \frac{2 \cdot 93.1Pa}{9810N/m³ \cdot 9.2m}

Next Step Prepare to Evaluate

∴

dh /dx = \frac{2 \cdot 93.1}{9810 \cdot 9.2}

Next Step Evaluate

∴

dh /dx = 0.00206311217479945

LAST Step Rounding Answer

∴

dh /dx = 0.0021

Piezometric Gradient given 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

Shear Stress

The Shear Stress refers to the 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

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

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 Velocity Gradient with Shear Stress

dh /dx = \frac{V G}{(\frac{γ f}{μ}) \cdot (0.5 \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 Shear Stress?

Piezometric Gradient given Shear Stress evaluator uses Piezometric Gradient = (2*Shear Stress)/(Specific Weight of Liquid*Radial Distance) to evaluate the Piezometric Gradient, The Piezometric Gradient given Shear Stress is defined as change in hydraulic head with respect pipe length distance. Piezometric Gradient is denoted by dh_/dx symbol.

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

FAQs on Piezometric Gradient given Shear Stress

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

The formula of Piezometric Gradient given Shear Stress is expressed as Piezometric Gradient = (2*Shear Stress)/(Specific Weight of Liquid*Radial Distance). Here is an example- 0.002063 = (2*93.1)/(9810*9.2).

How to calculate Piezometric Gradient given Shear Stress?

With Shear Stress (𝜏), Specific Weight of Liquid (γ_f) & Radial Distance (d_radial) we can find Piezometric Gradient given Shear Stress using the formula - Piezometric Gradient = (2*Shear Stress)/(Specific Weight of Liquid*Radial Distance).

What are the other ways to Calculate Piezometric Gradient?

Here are the different ways to Calculate Piezometric Gradient-

Piezometric Gradient=Velocity Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*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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