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Discharge per unit channel width Formula

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The Kinematic Viscosity refers to the fluid’s internal resistance to flow under the influence of gravity. Check FAQs

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

ν - Kinematic Viscosity?γ_f - Specific Weight of Liquid?s - Slope of Bed?d_section - Diameter of Section?μ - Dynamic Viscosity?

Discharge per unit channel width Example

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Here is how the Discharge per unit channel width equation looks like with Values.

Here is how the Discharge per unit channel width equation looks like with Units.

Here is how the Discharge per unit channel width equation looks like.

4.0074 = \frac{9.81 \cdot 0.01 \cdot 5^{3}}{3 \cdot 10.2}

4.0074m²/s = \frac{9.81kN/m³ \cdot 0.01 \cdot {5m}^{3}}{3 \cdot 10.2P}

4.0074 = \frac{9.81 \cdot 0.01 \cdot 5^{3}}{3 \cdot 10.2}

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Discharge per unit channel width Solution

Follow our step by step solution on how to calculate Discharge per unit channel width?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ν = \frac{9.81kN/m³ \cdot 0.01 \cdot {5m}^{3}}{3 \cdot 10.2P}

Next Step Convert Units

∴

ν = \frac{9.81kN/m³ \cdot 0.01 \cdot {5m}^{3}}{3 \cdot 1.02Pa*s}

Next Step Prepare to Evaluate

∴

ν = \frac{9.81 \cdot 0.01 \cdot 5^{3}}{3 \cdot 1.02}

Next Step Evaluate

∴

ν = 4.00735294117647m²/s

LAST Step Rounding Answer

∴

ν = 4.0074m²/s

Discharge per unit channel width Formula Elements

Variables

Kinematic Viscosity

The Kinematic Viscosity refers to the fluid’s internal resistance to flow under the influence of gravity.

Symbol: ν

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Kinematic Viscosity

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

Slope of Bed

The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.

Symbol: s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Slope of Bed

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

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 Diameter of Section given Mean Velocity of Flow

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

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}

How to Evaluate Discharge per unit channel width?

Discharge per unit channel width evaluator uses Kinematic Viscosity = (Specific Weight of Liquid*Slope of Bed*Diameter of Section^3)/(3*Dynamic Viscosity) to evaluate the Kinematic Viscosity, The Discharge per Unit Channel Width formula is defined as amount of fluid on through the section of the channel in the whole length. Kinematic Viscosity is denoted by ν symbol.

How to evaluate Discharge per unit channel width using this online evaluator? To use this online evaluator for Discharge per unit channel width, enter Specific Weight of Liquid (γ_f), Slope of Bed (s), Diameter of Section (d_section) & Dynamic Viscosity (μ) and hit the calculate button.

FAQs on Discharge per unit channel width

What is the formula to find Discharge per unit channel width?

The formula of Discharge per unit channel width is expressed as Kinematic Viscosity = (Specific Weight of Liquid*Slope of Bed*Diameter of Section^3)/(3*Dynamic Viscosity). Here is an example- 4.007353 = (9810*0.01*5^3)/(3*1.02).

How to calculate Discharge per unit channel width?

With Specific Weight of Liquid (γ_f), Slope of Bed (s), Diameter of Section (d_section) & Dynamic Viscosity (μ) we can find Discharge per unit channel width using the formula - Kinematic Viscosity = (Specific Weight of Liquid*Slope of Bed*Diameter of Section^3)/(3*Dynamic Viscosity).

Can the Discharge per unit channel width be negative?

No, the Discharge per unit channel width, measured in Kinematic Viscosity cannot be negative.

Which unit is used to measure Discharge per unit channel width?

Discharge per unit channel width is usually measured using the Square Meter per Second[m²/s] for Kinematic Viscosity. Square Meter per Hour[m²/s], Square Centimeter per Second[m²/s], Square Millimeter per Second[m²/s] are the few other units in which Discharge per unit channel width can be measured.

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Discharge per unit channel width Formula

Discharge per unit channel width Example

Discharge per unit channel width Solution

Discharge per unit channel width Formula Elements

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

How to Evaluate Discharge per unit channel width?

FAQs on Discharge per unit channel width

Variable Name