Coefficient given Water Surface Slope by Eckman Calculator

✖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]			+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%
✖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%

✖Coefficient Eckman represents the change of ebb tidal energy flux across the ocean bar between natural and channel conditions.ⓘ Coefficient given Water Surface Slope by Eckman [Δ]

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Coefficient given Water Surface Slope by Eckman

Formula

`"Δ" = ("β"*"ρ"*"[g]"*"h")/"τ"`

Example

`"6.652178"=("3.7E^-5"*"1000kg/m³"*"[g]"*"11m")/"0.6N/m²"`

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Download Methods to Predict Channel Shoaling Formulas PDF

Coefficient given Water Surface Slope by Eckman Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Water Surface Slope: 3.7E-05 --> No Conversion Required
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
Shear Stress at the Water Surface: 0.6 Newton per Square Meter --> 0.6 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δ = (β*ρ*[g]*h)/τ --> (3.7E-05*1000*[g]*11)/0.6

Evaluating ... ...

Δ = 6.65217758333333

STEP 3: Convert Result to Output's Unit

6.65217758333333 --> No Conversion Required

FINAL ANSWER

6.65217758333333 ≈ 6.652178 <-- Coefficient Eckman

(Calculation completed in 00.004 seconds)

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< 14 Methods to Predict Channel Shoaling Calculators

Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions

Go Change in Mean Ebb Tide Flow Energy Flux = ((4*Tidal Period)/(3*pi))*Maximum Instantaneous Ebb Tide Discharge^3*((Depth of Navigation Channel^2-Natural Depth of Ocean Bar^2)/(Natural Depth of Ocean Bar^2*Depth of Navigation Channel^2))

Maximum Instantaneous Ebb Tide Discharge per Unit Width

Go Maximum Instantaneous Ebb Tide Discharge = (Change in Mean Ebb Tide Flow Energy Flux*(3*pi*Natural Depth of Ocean Bar^2*Depth of Navigation Channel^2)/(4*Tidal Period*(Depth of Navigation Channel^2-Natural Depth of Ocean Bar^2)))^(1/3)

Tidal Period given Change of Ebb Tidal Energy Flux across Ocean Bar

Go Tidal Period = Change in Mean Ebb Tide Flow Energy Flux*(3*pi*Natural Depth of Ocean Bar^2*Depth of Navigation Channel^2)/(4*Maximum Instantaneous Ebb Tide Discharge^3*(Depth of Navigation Channel^2-Natural Depth of Ocean Bar^2))

Hoerls Special Function Distribution

Go Hoerls Special Function Distribution = Hoerls Best-fit Coefficient a*(Filling Index^Hoerls Best-fit Coefficient b)*e^(Hoerls Best-fit Coefficient c*Filling Index)

Density of Water given Water Surface Slope

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

Water Surface Slope

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

Shear Stress at Water Surface given Water Surface Slope

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

Coefficient given Water Surface Slope by Eckman

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

Ratio of Depth of Channel to Depth at which Seaward Slope of Ocean Bar Meets Sea Bottom

Go Depth Ratio = (Depth of Navigation Channel-Natural Depth of Ocean Bar)/(Water Depth between Sea Tip and Offshore Bottom-Natural Depth of Ocean Bar)

Water Depth where Seaward Tip of Ocean Bar meets Offshore Sea Bottom

Go Water Depth between Sea Tip and Offshore Bottom = ((Depth of Navigation Channel-Natural Depth of Ocean Bar)/Depth Ratio)+Natural Depth of Ocean Bar

Depth of Navigation Channel given Depth of Channel to depth at which Ocean Bar meets Sea Bottom

Go Depth of Navigation Channel = Depth Ratio*(Water Depth between Sea Tip and Offshore Bottom-Natural Depth of Ocean Bar)+Natural Depth of Ocean Bar

Transport Ratio

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

Depth before Dredging given Transport Ratio

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

Depth after Dredging given Transport Ratio

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

Coefficient given Water Surface Slope by Eckman Formula

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

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 Coefficient given Water Surface Slope by Eckman?

Coefficient given Water Surface Slope by Eckman calculator uses Coefficient Eckman = (Water Surface Slope*Density of Water*[g]*Eckman Constant Depth)/Shear Stress at the Water Surface to calculate the Coefficient Eckman, The Coefficient given Water Surface Slope by Eckmann formula is defined as the parameter used in fluid dynamics, particularly in the study of water bodies which varies between 1.0 for very deep water and 1.5 for shallow water or where Coriolis’s influences are neglected. Coefficient Eckman is denoted by Δ symbol.

How to calculate Coefficient given Water Surface Slope by Eckman using this online calculator? To use this online calculator for Coefficient given Water Surface Slope by Eckman, enter Water Surface Slope (β), Density of Water (ρ), Eckman Constant Depth (h) & Shear Stress at the Water Surface (τ) and hit the calculate button. Here is how the Coefficient given Water Surface Slope by Eckman calculation can be explained with given input values -> 6.047434 = (3.7E-05*1000*[g]*11)/0.6.

FAQ

What is Coefficient given Water Surface Slope by Eckman?

The Coefficient given Water Surface Slope by Eckmann formula is defined as the parameter used in fluid dynamics, particularly in the study of water bodies which varies between 1.0 for very deep water and 1.5 for shallow water or where Coriolis’s influences are neglected and is represented as Δ = (β*ρ*[g]*h)/τ or Coefficient Eckman = (Water Surface Slope*Density of Water*[g]*Eckman Constant Depth)/Shear Stress at the Water Surface. 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, 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 & 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.

How to calculate Coefficient given Water Surface Slope by Eckman?

The Coefficient given Water Surface Slope by Eckmann formula is defined as the parameter used in fluid dynamics, particularly in the study of water bodies which varies between 1.0 for very deep water and 1.5 for shallow water or where Coriolis’s influences are neglected is calculated using Coefficient Eckman = (Water Surface Slope*Density of Water*[g]*Eckman Constant Depth)/Shear Stress at the Water Surface. To calculate Coefficient given Water Surface Slope by Eckman, you need Water Surface Slope (β), Density of Water (ρ), Eckman Constant Depth (h) & Shear Stress at the Water Surface (τ). With our tool, you need to enter the respective value for Water Surface Slope, Density of Water, Eckman Constant Depth & Shear Stress at the Water Surface 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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