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Slope of Channel given Mean Velocity of Flow Formula

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The Slope of Surface of Constant Pressure refers to the slope at which free surface is inclined with horizontal. Check FAQs

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

S - Slope of Surface of Constant Pressure?μ - Dynamic Viscosity?V_mean - Mean Velocity?d_section - Diameter of Section?R - Horizontal Distance?γ_f - Specific Weight of Liquid?

Slope of Channel given Mean Velocity of Flow Example

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Here is how the Slope of Channel given Mean Velocity of Flow equation looks like with Values.

Here is how the Slope of Channel given Mean Velocity of Flow equation looks like with Units.

Here is how the Slope of Channel given Mean Velocity of Flow equation looks like.

0.229 = \frac{10.2 \cdot 10}{(5 \cdot 1.01 - \frac{{1.01}^{2}}{2}) \cdot 9.81}

0.229 = \frac{10.2P \cdot 10m/s}{(5m \cdot 1.01m - \frac{{1.01m}^{2}}{2}) \cdot 9.81kN/m³}

0.229 = \frac{10.2 \cdot 10}{(5 \cdot 1.01 - \frac{{1.01}^{2}}{2}) \cdot 9.81}

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Slope of Channel given Mean Velocity of Flow Solution

Follow our step by step solution on how to calculate Slope of Channel given Mean Velocity of Flow?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \frac{10.2P \cdot 10m/s}{(5m \cdot 1.01m - \frac{{1.01m}^{2}}{2}) \cdot 9.81kN/m³}

Next Step Convert Units

∴

S = \frac{1.02Pa*s \cdot 10m/s}{(5m \cdot 1.01m - \frac{{1.01m}^{2}}{2}) \cdot 9.81kN/m³}

Next Step Prepare to Evaluate

∴

S = \frac{1.02 \cdot 10}{(5 \cdot 1.01 - \frac{{1.01}^{2}}{2}) \cdot 9.81}

Next Step Evaluate

∴

S = 0.229023524858634

LAST Step Rounding Answer

∴

S = 0.229

Slope of Channel given Mean Velocity of Flow Formula Elements

Variables

Slope of Surface of Constant Pressure

The Slope of Surface of Constant Pressure refers to the slope at which free surface is inclined with horizontal.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Slope of Surface of Constant Pressure

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

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

Horizontal Distance

The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Horizontal Distance

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

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 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}

Go Discharge per unit channel width

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

How to Evaluate Slope of Channel given Mean Velocity of Flow?

Slope of Channel given Mean Velocity of Flow evaluator uses Slope of Surface of Constant Pressure = (Dynamic Viscosity*Mean Velocity)/((Diameter of Section*Horizontal Distance-(Horizontal Distance^2)/2)*Specific Weight of Liquid) to evaluate the Slope of Surface of Constant Pressure, The Slope of Channel given Mean Velocity of Flow is defined as inclination of the channel or gradient to which head is made. Slope of Surface of Constant Pressure is denoted by S symbol.

How to evaluate Slope of Channel given Mean Velocity of Flow using this online evaluator? To use this online evaluator for Slope of Channel given Mean Velocity of Flow, enter Dynamic Viscosity (μ), Mean Velocity (V_mean), Diameter of Section (d_section), Horizontal Distance (R) & Specific Weight of Liquid (γ_f) and hit the calculate button.

FAQs on Slope of Channel given Mean Velocity of Flow

What is the formula to find Slope of Channel given Mean Velocity of Flow?

The formula of Slope of Channel given Mean Velocity of Flow is expressed as Slope of Surface of Constant Pressure = (Dynamic Viscosity*Mean Velocity)/((Diameter of Section*Horizontal Distance-(Horizontal Distance^2)/2)*Specific Weight of Liquid). Here is an example- 0.000229 = (1.02*10)/((5*1.01-(1.01^2)/2)*9810).

How to calculate Slope of Channel given Mean Velocity of Flow?

With Dynamic Viscosity (μ), Mean Velocity (V_mean), Diameter of Section (d_section), Horizontal Distance (R) & Specific Weight of Liquid (γ_f) we can find Slope of Channel given Mean Velocity of Flow using the formula - Slope of Surface of Constant Pressure = (Dynamic Viscosity*Mean Velocity)/((Diameter of Section*Horizontal Distance-(Horizontal Distance^2)/2)*Specific Weight of Liquid).

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Slope of Channel given Mean Velocity of Flow Formula

Slope of Channel given Mean Velocity of Flow Example

Slope of Channel given Mean Velocity of Flow Solution

Slope of Channel given Mean Velocity of Flow Formula Elements

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

How to Evaluate Slope of Channel given Mean Velocity of Flow?

FAQs on Slope of Channel given Mean Velocity of Flow

Variable Name