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Water Surface Slope Formula

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The Water Surface Slope describes how it inclines or changes with distance. It's pivotal in understanding water flow in channels like rivers or pipes, influencing the speed and behavior of the water. Check FAQs

β = \frac{Δ \cdot τ}{ρ \cdot [g] \cdot h}

β - Water Surface Slope?Δ - Coefficient Eckman?τ - Shear Stress at the Water Surface?ρ - Density of Water?h - Eckman Constant Depth?[g] - Gravitational acceleration on Earth?

Water Surface Slope Example

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Here is how the Water Surface Slope equation looks like with Values.

Here is how the Water Surface Slope equation looks like with Units.

Here is how the Water Surface Slope equation looks like.

3.3E-5 = \frac{6 \cdot 0.6}{1000 \cdot 9.8066 \cdot 11}

3.3E-5 = \frac{6 \cdot 0.6N/m²}{1000kg/m³ \cdot 9.8066m/s² \cdot 11m}

3.3E-5 = \frac{6 \cdot 0.6}{1000 \cdot 9.8066 \cdot 11}

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Water Surface Slope Solution

Follow our step by step solution on how to calculate Water Surface Slope?

FIRST Step Consider the formula

β = \frac{Δ \cdot τ}{ρ \cdot [g] \cdot h}

Next Step Substitute values of Variables

∴

β = \frac{6 \cdot 0.6N/m²}{1000kg/m³ \cdot [g] \cdot 11m}

Next Step Substitute values of Constants

∴

β = \frac{6 \cdot 0.6N/m²}{1000kg/m³ \cdot 9.8066m/s² \cdot 11m}

Next Step Convert Units

∴

β = \frac{6 \cdot 0.6Pa}{1000kg/m³ \cdot 9.8066m/s² \cdot 11m}

Next Step Prepare to Evaluate

∴

β = \frac{6 \cdot 0.6}{1000 \cdot 9.8066 \cdot 11}

Next Step Evaluate

∴

β = 3.33725306065504E-05

LAST Step Rounding Answer

∴

β = 3.3E-5

Water Surface Slope Formula Elements

Variables

Constants

Water Surface Slope

The Water Surface Slope describes how it inclines or changes with distance. It's pivotal in understanding water flow in channels like rivers or pipes, influencing the speed and behavior of the water.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Water Surface Slope

Coefficient Eckman

Coefficient Eckman represents the change of ebb tidal energy flux across the ocean bar between natural and channel conditions.

Symbol: Δ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient Eckman

Shear Stress at the Water Surface

Shear Stress at the Water Surface referred to as the “tractive force” is a measure of the internal resistance of a fluid to deformation when subjected to a force acting parallel to its surface.

Symbol: τ

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Shear Stress at the Water Surface

Density of Water

Density of Water is its mass per unit volume. It’s a measurement of how tightly matter is packed together.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Water

Eckman Constant Depth

Eckman Constant Depth is the depth in water where the effect of wind-induced movement lessens, influencing currents and turbulence within this specific layer of the ocean.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Eckman Constant Depth

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Methods to Predict Channel Shoaling category

Go Transport Ratio

t r = {(\frac{d 1}{d 2})}^{\frac{5}{2}}

Go Depth before Dredging given Transport Ratio

d 1 = d 2 \cdot {t r}^{\frac{2}{5}}

Go Depth after Dredging given Transport Ratio

d 2 = \frac{d 1}{{t r}^{\frac{2}{5}}}

Go Density of Water given Water Surface Slope

ρ = \frac{Δ \cdot τ}{β \cdot [g] \cdot h}

How to Evaluate Water Surface Slope?

Water Surface Slope evaluator uses Water Surface Slope = (Coefficient Eckman*Shear Stress at the Water Surface)/(Density of Water*[g]*Eckman Constant Depth) to evaluate the Water Surface Slope, The Water Surface Slope formula is defined as the constant when predicting bedload sediment transport in rivers despite its significance as a determinant of shear stress and the impact that variability would have on calculated sediment flux. Water Surface Slope is denoted by β symbol.

How to evaluate Water Surface Slope using this online evaluator? To use this online evaluator for Water Surface Slope, enter Coefficient Eckman (Δ), Shear Stress at the Water Surface (τ), Density of Water (ρ) & Eckman Constant Depth (h) and hit the calculate button.

FAQs on Water Surface Slope

What is the formula to find Water Surface Slope?

The formula of Water Surface Slope is expressed as Water Surface Slope = (Coefficient Eckman*Shear Stress at the Water Surface)/(Density of Water*[g]*Eckman Constant Depth). Here is an example- 3.7E-5 = (6*0.6)/(1000*[g]*11).

How to calculate Water Surface Slope?

With Coefficient Eckman (Δ), Shear Stress at the Water Surface (τ), Density of Water (ρ) & Eckman Constant Depth (h) we can find Water Surface Slope using the formula - Water Surface Slope = (Coefficient Eckman*Shear Stress at the Water Surface)/(Density of Water*[g]*Eckman Constant Depth). This formula also uses Gravitational acceleration on Earth constant(s).

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Water Surface Slope Formula

Water Surface Slope Example

Water Surface Slope Solution

Water Surface Slope Formula Elements

Other formulas in Methods to Predict Channel Shoaling category

How to Evaluate Water Surface Slope?

FAQs on Water Surface Slope

Variable Name