Depth given Water Surface Slope Calculator

✖Coefficient of Eckman is a multiplier or factor that measures a particular property.ⓘ Coefficient of 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%
✖Water Surface Slope is the change in elevation of water level over a horizontal distance, indicating its gradient or incline.ⓘ Water Surface Slope [β]			+10% -10%
✖Water Density is mass per unit of water.ⓘ Water Density [ρ_water]			+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.ⓘ Depth given Water Surface Slope [h]

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Depth given Water Surface Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
Coefficient of Eckman - Coefficient of Eckman is a multiplier or factor that measures a particular property.
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.
Water Surface Slope - Water Surface Slope is the change in elevation of water level over a horizontal distance, indicating its gradient or incline.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit of water.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Eckman: 1.49 --> No Conversion Required
Shear Stress at the Water Surface: 0.6 Newton per Square Meter --> 0.6 Pascal (Check conversion here)
Water Surface Slope: 7.65E-06 --> No Conversion Required
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (Δ*τ)/(β*ρ_water*[g]) --> (1.49*0.6)/(7.65E-06*1000*[g])

Evaluating ... ...

h = 11.9166835869578

STEP 3: Convert Result to Output's Unit

11.9166835869578 Meter --> No Conversion Required

FINAL ANSWER

11.9166835869578 ≈ 11.91668 Meter <-- Eckman Constant Depth

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Bay Superelevation Calculators

Superelevation due to Varying Entrance Channel Cross-Section

LaTeX Go Superelevation = Ocean Tide Amplitude*(1-(((Bay Tide Amplitude/Ocean Tide Amplitude)^2)/(4*(Channel Depth/Ocean Tide Amplitude)))-(Ocean Tide Amplitude/(Bank Slope*Channel Width corresponding to Mean Water Depth))*(0.5-(Bay Tide Amplitude/Ocean Tide Amplitude)*cos(Phase Lag)-((3/2)*(Bay Tide Amplitude/Ocean Tide Amplitude)^2)+4*(Channel Depth/Ocean Tide Amplitude)^2))

Tidal Amplitude in Ocean

LaTeX Go Ocean Tide Amplitude = Bay Superelevation/(sin(2*pi*Duration of Inflow/Tidal Period)/(1-cos(2*pi*Duration of Inflow/Tidal Period)))

Superelevation

LaTeX Go Bay Superelevation = Ocean Tide Amplitude*(sin(2*pi*Duration of Inflow/Tidal Period)/(1-cos(2*pi*Duration of Inflow/Tidal Period)))

Depth given Water Surface Slope

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

Depth given Water Surface Slope Formula

LaTeX Go

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

What is Bay Superelevation?

A Superelevation of the bay means that the average level of the bay is greater than the average elevation of the ocean over a given time period. An obvious cause of this effect is the introduction of freshwater into the bay from local rivers and streams. The effect of long-term (months or years) rises in sea level causing a long-term rise in bay level is not included in this definition of bay superelevation, since both sea and bay are responding simultaneously. The bay may not rise at the same rate as the sea due to possible circulation effects if multiple inlets connect the bay to the ocean.

What is Ocean Dynamics & Ocean Tide?

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 have traditionally been investigated by sampling from instruments in situ.
Tides are caused by the gravitational pull of the moon and the sun. Tides are very long-period waves that move through the oceans in response to the forces exerted by the moon and sun. Tides originate in the oceans and progress toward the coastlines where they appear as the regular rise and fall of the sea surface.

How to Calculate Depth given Water Surface Slope?

Depth given Water Surface Slope calculator uses Eckman Constant Depth = (Coefficient of Eckman*Shear Stress at the Water Surface)/(Water Surface Slope*Water Density*[g]) to calculate the Eckman Constant Depth, The Depth given Water Surface Slope formula is defined as a parameter defined by Eckman (1905) considering the problem of an enclosed sea of finite, constant depth. Eckman Constant Depth is denoted by h symbol.

How to calculate Depth given Water Surface Slope using this online calculator? To use this online calculator for Depth given Water Surface Slope, enter Coefficient of Eckman (Δ), Shear Stress at the Water Surface (τ), Water Surface Slope (β) & Water Density (ρ_water) and hit the calculate button. Here is how the Depth given Water Surface Slope calculation can be explained with given input values -> 11.91668 = (1.49*0.6)/(7.65E-06*1000*[g]).

FAQ

What is Depth given Water Surface Slope?

The Depth given Water Surface Slope formula is defined as a parameter defined by Eckman (1905) considering the problem of an enclosed sea of finite, constant depth and is represented as h = (Δ*τ)/(β*ρ_water*[g]) or Eckman Constant Depth = (Coefficient of Eckman*Shear Stress at the Water Surface)/(Water Surface Slope*Water Density*[g]). Coefficient of Eckman is a multiplier or factor that measures a particular property, 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, Water Surface Slope is the change in elevation of water level over a horizontal distance, indicating its gradient or incline & Water Density is mass per unit of water.

How to calculate Depth given Water Surface Slope?

The Depth given Water Surface Slope formula is defined as a parameter defined by Eckman (1905) considering the problem of an enclosed sea of finite, constant depth is calculated using Eckman Constant Depth = (Coefficient of Eckman*Shear Stress at the Water Surface)/(Water Surface Slope*Water Density*[g]). To calculate Depth given Water Surface Slope, you need Coefficient of Eckman (Δ), Shear Stress at the Water Surface (τ), Water Surface Slope (β) & Water Density (ρ_water). With our tool, you need to enter the respective value for Coefficient of Eckman, Shear Stress at the Water Surface, Water Surface Slope & Water Density 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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