Water Surface Slope Calculator

✖Coefficient Eckman represents the change of ebb tidal energy flux across the ocean bar between natural and channel conditions.ⓘ Coefficient Eckman [Δ]			+10% -10%
✖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.ⓘ Shear Stress at the Water Surface [τ]			+10% -10%
✖Density of Water is its mass per unit volume. It’s a measurement of how tightly matter is packed together.ⓘ Density of Water [ρ]			+10% -10%
✖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.ⓘ Eckman Constant Depth [h]			+10% -10%

✖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.ⓘ Water Surface Slope [β]

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Water Surface Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Surface Slope = (Coefficient Eckman*Shear Stress at the Water Surface)/(Density of Water*[g]*Eckman Constant Depth)
β = (Δ*τ)/(ρ*[g]*h)
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

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.
Coefficient Eckman - Coefficient Eckman represents the change of ebb tidal energy flux across the ocean bar between natural and channel conditions.
Shear Stress at the Water Surface - (Measured in Pascal) - 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.
Density of Water - (Measured in Kilogram per Cubic Meter) - Density of Water is its mass per unit volume. It’s a measurement of how tightly matter is packed together.
Eckman Constant Depth - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Coefficient Eckman: 6 --> No Conversion Required
Shear Stress at the Water Surface: 0.6 Newton per Square Meter --> 0.6 Pascal (Check conversion here)
Density of Water: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Eckman Constant Depth: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β = (Δ*τ)/(ρ*[g]*h) --> (6*0.6)/(1000*[g]*11)

Evaluating ... ...

β = 3.33725306065504E-05

STEP 3: Convert Result to Output's Unit

3.33725306065504E-05 --> No Conversion Required

FINAL ANSWER

3.33725306065504E-05 ≈ 3.3E-5 <-- Water Surface Slope

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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NSS College of Engineering (NSSCE), Palakkad

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< Methods to Predict Channel Shoaling Calculators

Density of Water given Water Surface Slope

LaTeX Go Density of Water = (Coefficient Eckman*Shear Stress at the Water Surface)/(Water Surface Slope*[g]*Eckman Constant Depth)

Transport Ratio

LaTeX Go Transport Ratio = (Depth before Dredging/Depth after Dredging)^(5/2)

Depth before Dredging given Transport Ratio

LaTeX Go Depth before Dredging = Depth after Dredging*Transport Ratio^(2/5)

Depth after Dredging given Transport Ratio

LaTeX Go Depth after Dredging = Depth before Dredging/Transport Ratio^(2/5)

Water Surface Slope Formula

LaTeX Go

Water Surface Slope = (Coefficient Eckman*Shear Stress at the Water Surface)/(Density of Water*[g]*Eckman Constant Depth)
β = (Δ*τ)/(ρ*[g]*h)

What is Ocean Dynamics?

The Ocean Dynamics define and describe the motion of water within the oceans. Ocean temperature and motion fields can be separated into three distinct layers: mixed (surface) layer, upper ocean (above the thermocline), and deep ocean. Ocean dynamics has traditionally been investigated by sampling from instruments in situ.

What is Dredging?

Dredging is the act of removing silt and other material from the bottom of bodies of water. It is a routine necessity in waterways around the world because sedimentation—the natural process of sand and silt washing downstream—gradually fills channels and harbors.

How to Calculate Water Surface Slope?

Water Surface Slope calculator uses Water Surface Slope = (Coefficient Eckman*Shear Stress at the Water Surface)/(Density of Water*[g]*Eckman Constant Depth) to calculate 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 calculate Water Surface Slope using this online calculator? To use this online calculator 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. Here is how the Water Surface Slope calculation can be explained with given input values -> 3.7E-5 = (6*0.6)/(1000*[g]*11).

FAQ

What is 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 and is represented as β = (Δ*τ)/(ρ*[g]*h) or Water Surface Slope = (Coefficient Eckman*Shear Stress at the Water Surface)/(Density of Water*[g]*Eckman Constant Depth). Coefficient Eckman represents the change of ebb tidal energy flux across the ocean bar between natural and channel conditions, 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, Density of Water is its mass per unit volume. It’s a measurement of how tightly matter is packed together & 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.

How to calculate 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 is calculated using Water Surface Slope = (Coefficient Eckman*Shear Stress at the Water Surface)/(Density of Water*[g]*Eckman Constant Depth). To calculate Water Surface Slope, you need Coefficient Eckman (Δ), Shear Stress at the Water Surface (τ), Density of Water (ρ) & Eckman Constant Depth (h). With our tool, you need to enter the respective value for Coefficient Eckman, Shear Stress at the Water Surface, Density of Water & Eckman Constant Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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