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Diameter of Section given Potential Head Drop Formula

GoDiameter of Section given Mean Velocity of Flow Formula

GoDiameter of Section given Discharge per Unit Channel Width Formula

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The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle. Check FAQs

d section = \sqrt{\frac{3 \cdot μ \cdot V mean \cdot L}{γ f \cdot h L}}

d_section - Diameter of Section?μ - Dynamic Viscosity?V_mean - Mean Velocity?L - Length of Pipe?γ_f - Specific Weight of Liquid?h_L - Head Loss due to Friction?

Diameter of Section given Potential Head Drop Example

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Here is how the Diameter of Section given Potential Head Drop equation looks like with Values.

Here is how the Diameter of Section given Potential Head Drop equation looks like with Units.

Here is how the Diameter of Section given Potential Head Drop equation looks like.

4.9624 = \sqrt{\frac{3 \cdot 10.2 \cdot 10 \cdot 15}{9.81 \cdot 1.9}}

4.9624m = \sqrt{\frac{3 \cdot 10.2P \cdot 10m/s \cdot 15m}{9.81kN/m³ \cdot 1.9m}}

4.9624 = \sqrt{\frac{3 \cdot 10.2 \cdot 10 \cdot 15}{9.81 \cdot 1.9}}

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Diameter of Section given Potential Head Drop Solution

Follow our step by step solution on how to calculate Diameter of Section given Potential Head Drop?

FIRST Step Consider the formula

d section = \sqrt{\frac{3 \cdot μ \cdot V mean \cdot L}{γ f \cdot h L}}

Next Step Substitute values of Variables

∴

d section = \sqrt{\frac{3 \cdot 10.2P \cdot 10m/s \cdot 15m}{9.81kN/m³ \cdot 1.9m}}

Next Step Convert Units

∴

d section = \sqrt{\frac{3 \cdot 1.02Pa*s \cdot 10m/s \cdot 15m}{9.81kN/m³ \cdot 1.9m}}

Next Step Prepare to Evaluate

∴

d section = \sqrt{\frac{3 \cdot 1.02 \cdot 10 \cdot 15}{9.81 \cdot 1.9}}

Next Step Evaluate

∴

d section = 4.96243736938805m

LAST Step Rounding Answer

∴

d section = 4.9624m

Diameter of Section given Potential Head Drop Formula Elements

Variables

Functions

Diameter of Section

The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.

Symbol: d_section

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Section

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

Mean Velocity

The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Length of Pipe

The Length of Pipe refers to the measurement of the pipe from one end to the other.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe

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

Head Loss due to Friction

The Head Loss due to Friction refers to the reduction in pressure (or head) that occurs as fluid flows through a pipe or hydraulic system.

Symbol: h_L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head Loss due to Friction

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Diameter of Section

Go Diameter of Section given Mean Velocity of Flow

d section = \frac{(R^{2} + (μ \cdot V mean \cdot \frac{S}{γ f}))}{R}

Go Diameter of Section given Discharge per Unit Channel Width

d section = {(\frac{3 \cdot μ \cdot ν}{s \cdot γ f})}^{\frac{1}{3}}

Go Diameter of Section given Slope of Channel

d section = (\frac{𝜏}{s \cdot γ f}) + R

Go Diameter of Section given Bed Shear Stress

d section = \frac{𝜏}{s \cdot γ f}

Other formulas in Laminar Flow of Fluid in an Open Channel category

Go Mean Velocity of Flow in Section

V mean = \frac{γ f \cdot dh|dx \cdot (d section \cdot R - R^{2})}{μ}

Go Slope of Channel given Mean Velocity of Flow

S = \frac{μ \cdot V mean}{(d section \cdot R - \frac{R^{2}}{2}) \cdot γ f}

Go Dynamic Viscosity given Mean Velocity of Flow in Section

μ = \frac{γ f \cdot dh|dx \cdot (d section \cdot R - R^{2})}{V mean}

Go Discharge per unit channel width

ν = \frac{γ f \cdot s \cdot {d section}^{3}}{3 \cdot μ}

How to Evaluate Diameter of Section given Potential Head Drop?

Diameter of Section given Potential Head Drop evaluator uses Diameter of Section = sqrt((3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction)) to evaluate the Diameter of Section, The Diameter of Section given Potential Head Drop is defined as the sectional depth of flow depth at a particular point. Diameter of Section is denoted by d_section symbol.

How to evaluate Diameter of Section given Potential Head Drop using this online evaluator? To use this online evaluator for Diameter of Section given Potential Head Drop, enter Dynamic Viscosity (μ), Mean Velocity (V_mean), Length of Pipe (L), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h_L) and hit the calculate button.

FAQs on Diameter of Section given Potential Head Drop

What is the formula to find Diameter of Section given Potential Head Drop?

The formula of Diameter of Section given Potential Head Drop is expressed as Diameter of Section = sqrt((3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction)). Here is an example- 4.962437 = sqrt((3*1.02*10*15)/(9810*1.9)).

How to calculate Diameter of Section given Potential Head Drop?

With Dynamic Viscosity (μ), Mean Velocity (V_mean), Length of Pipe (L), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h_L) we can find Diameter of Section given Potential Head Drop using the formula - Diameter of Section = sqrt((3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction)). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Diameter of Section?

Here are the different ways to Calculate Diameter of Section-

Diameter of Section=((Horizontal Distance^2+(Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance
Diameter of Section=((3*Dynamic Viscosity*Kinematic Viscosity)/(Slope of Bed*Specific Weight of Liquid))^(1/3)
Diameter of Section=(Shear Stress/(Slope of Bed*Specific Weight of Liquid))+Horizontal Distance

Can the Diameter of Section given Potential Head Drop be negative?

No, the Diameter of Section given Potential Head Drop, measured in Length cannot be negative.

Which unit is used to measure Diameter of Section given Potential Head Drop?

Diameter of Section given Potential Head Drop is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Section given Potential Head Drop can be measured.

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Diameter of Section given Potential Head Drop Formula

​GoDiameter of Section given Mean Velocity of Flow Formula

​GoDiameter of Section given Discharge per Unit Channel Width Formula

Diameter of Section given Potential Head Drop Example

Diameter of Section given Potential Head Drop Solution

Diameter of Section given Potential Head Drop Formula Elements

Other Formulas to find Diameter of Section

Other formulas in Laminar Flow of Fluid in an Open Channel category

How to Evaluate Diameter of Section given Potential Head Drop?

FAQs on Diameter of Section given Potential Head Drop

Variable Name

GoDiameter of Section given Mean Velocity of Flow Formula

GoDiameter of Section given Discharge per Unit Channel Width Formula