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Piezometric Gradient given Flow Velocity of Stream Formula

GoPiezometric Gradient given Shear Stress Formula

GoPiezometric Gradient given Velocity Gradient with Shear Stress 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}{(\frac{γ f}{4 \cdot μ}) \cdot ({R inclined}^{2} - {d radial}^{2})}

dh_/dx - Piezometric Gradient?v - Velocity of Liquid?γ_f - Specific Weight of Liquid?μ - Dynamic Viscosity?R_inclined - Inclined Pipes Radius?d_radial - Radial Distance?

Piezometric Gradient given Flow Velocity of Stream Example

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Here is how the Piezometric Gradient given Flow Velocity of Stream equation looks like with Values.

Here is how the Piezometric Gradient given Flow Velocity of Stream equation looks like with Units.

Here is how the Piezometric Gradient given Flow Velocity of Stream equation looks like.

0.001 = \frac{61.57}{(\frac{9.81}{4 \cdot 10.2}) \cdot ({10.5}^{2} - {9.2}^{2})}

0.001 = \frac{61.57m/s}{(\frac{9.81kN/m³}{4 \cdot 10.2P}) \cdot ({10.5m}^{2} - {9.2m}^{2})}

0.001 = \frac{61.57}{(\frac{9.81}{4 \cdot 10.2}) \cdot ({10.5}^{2} - {9.2}^{2})}

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Piezometric Gradient given Flow Velocity of Stream Solution

Follow our step by step solution on how to calculate Piezometric Gradient given Flow Velocity of Stream?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

dh /dx = \frac{61.57m/s}{(\frac{9.81kN/m³}{4 \cdot 10.2P}) \cdot ({10.5m}^{2} - {9.2m}^{2})}

Next Step Convert Units

∴

dh /dx = \frac{61.57m/s}{(\frac{9810N/m³}{4 \cdot 1.02Pa*s}) \cdot ({10.5m}^{2} - {9.2m}^{2})}

Next Step Prepare to Evaluate

∴

dh /dx = \frac{61.57}{(\frac{9810}{4 \cdot 1.02}) \cdot ({10.5}^{2} - {9.2}^{2})}

Next Step Evaluate

∴

dh /dx = 0.000999886559985288

LAST Step Rounding Answer

∴

dh /dx = 0.001

Piezometric Gradient given Flow Velocity of Stream 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 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

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

Inclined Pipes Radius

The Inclined Pipes Radius refers to the distance from the center of the pipe’s cross-section to its inner wall.

Symbol: R_inclined

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inclined Pipes Radius

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 Velocity Gradient with Shear Stress

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

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 Flow Velocity of Stream?

Piezometric Gradient given Flow Velocity of Stream evaluator uses Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2)) to evaluate the Piezometric Gradient, The Piezometric Gradient given Flow Velocity of Stream is defined as change in pressure with respect to radial distance. Piezometric Gradient is denoted by dh_/dx symbol.

How to evaluate Piezometric Gradient given Flow Velocity of Stream using this online evaluator? To use this online evaluator for Piezometric Gradient given Flow Velocity of Stream, enter Velocity of Liquid (v), Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ), Inclined Pipes Radius (R_inclined) & Radial Distance (d_radial) and hit the calculate button.

FAQs on Piezometric Gradient given Flow Velocity of Stream

What is the formula to find Piezometric Gradient given Flow Velocity of Stream?

The formula of Piezometric Gradient given Flow Velocity of Stream is expressed as Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2)). Here is an example- 0.001 = 61.57/(((9810)/(4*1.02))*(10.5^2-9.2^2)).

How to calculate Piezometric Gradient given Flow Velocity of Stream?

With Velocity of Liquid (v), Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ), Inclined Pipes Radius (R_inclined) & Radial Distance (d_radial) we can find Piezometric Gradient given Flow Velocity of Stream using the formula - Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2)).

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 Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance))

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Piezometric Gradient given Flow Velocity of Stream Formula

​GoPiezometric Gradient given Shear Stress Formula

​GoPiezometric Gradient given Velocity Gradient with Shear Stress Formula

Piezometric Gradient given Flow Velocity of Stream Example

Piezometric Gradient given Flow Velocity of Stream Solution

Piezometric Gradient given Flow Velocity of Stream Formula Elements

Other Formulas to find Piezometric Gradient

Other formulas in Laminar Flow Through Inclined Pipes category

How to Evaluate Piezometric Gradient given Flow Velocity of Stream?

FAQs on Piezometric Gradient given Flow Velocity of Stream

Variable Name

GoPiezometric Gradient given Shear Stress Formula

GoPiezometric Gradient given Velocity Gradient with Shear Stress Formula