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*ρwater*[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) - The Eckman Constant Depth signifies 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, shear stress describes the force of water that is trying to drag the channel surface downstream with it.
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*ρwater*[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 00.004 seconds)

Credits

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Coorg Institute of Technology (CIT), Coorg
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4 Bay Superelevation Calculators

Superelevation due to Varying Entrance Channel Cross-Section
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
Go Ocean Tide Amplitude = Bay Superelevation/(sin(2*pi*Duration of Inflow/Tidal Period)/(1-cos(2*pi*Duration of Inflow/Tidal Period)))
Superelevation
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
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

Eckman Constant Depth = (Coefficient of Eckman*Shear Stress at the Water Surface)/(Water Surface Slope*Water Density*[g])
h = (Δ*τ)/(β*ρwater*[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 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*ρwater*[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, shear stress describes the force of water that is trying to drag the channel surface downstream with it, 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 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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