Shear Stress at Water Surface given Water Surface Slope Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Stress at the Water Surface = (Water Surface Slope*Density of Water*[g]*Eckman Constant Depth)/Coefficient Eckman
τ = (β*ρ*[g]*h)/Δ
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
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 - 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.
Coefficient Eckman - Coefficient Eckman represents the change of ebb tidal energy flux across the ocean bar between natural and channel conditions.
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
Coefficient Eckman: 6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τ = (β*ρ*[g]*h)/Δ --> (3.7E-05*1000*[g]*11)/6
Evaluating ... ...
τ = 0.665217758333333
STEP 3: Convert Result to Output's Unit
0.665217758333333 Pascal -->0.665217758333333 Newton per Square Meter (Check conversion ​here)
FINAL ANSWER
0.665217758333333 0.665218 Newton per Square Meter <-- Shear Stress at the Water Surface
(Calculation completed in 00.020 seconds)

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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)

Shear Stress at Water Surface given Water Surface Slope Formula

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

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 Shear Stress at Water Surface given Water Surface Slope?

Shear Stress at Water Surface given Water Surface Slope calculator uses Shear Stress at the Water Surface = (Water Surface Slope*Density of Water*[g]*Eckman Constant Depth)/Coefficient Eckman to calculate the Shear Stress at the Water Surface, The Shear Stress at Water Surface given Water Surface Slope formula is defined as a measure of the force of friction from a fluid acting on a body in the path of that fluid. Shear Stress at the Water Surface is denoted by τ symbol.

How to calculate Shear Stress at Water Surface given Water Surface Slope using this online calculator? To use this online calculator for Shear Stress at Water Surface given Water Surface Slope, enter Water Surface Slope (β), Density of Water (ρ), Eckman Constant Depth (h) & Coefficient Eckman (Δ) and hit the calculate button. Here is how the Shear Stress at Water Surface given Water Surface Slope calculation can be explained with given input values -> 0.604743 = (3.7E-05*1000*[g]*11)/6.

FAQ

What is Shear Stress at Water Surface given Water Surface Slope?
The Shear Stress at Water Surface given Water Surface Slope formula is defined as a measure of the force of friction from a fluid acting on a body in the path of that fluid and is represented as τ = (β*ρ*[g]*h)/Δ or Shear Stress at the Water Surface = (Water Surface Slope*Density of Water*[g]*Eckman Constant Depth)/Coefficient Eckman. 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 & Coefficient Eckman represents the change of ebb tidal energy flux across the ocean bar between natural and channel conditions.
How to calculate Shear Stress at Water Surface given Water Surface Slope?
The Shear Stress at Water Surface given Water Surface Slope formula is defined as a measure of the force of friction from a fluid acting on a body in the path of that fluid is calculated using Shear Stress at the Water Surface = (Water Surface Slope*Density of Water*[g]*Eckman Constant Depth)/Coefficient Eckman. To calculate Shear Stress at Water Surface given Water Surface Slope, you need Water Surface Slope (β), Density of Water (ρ), Eckman Constant Depth (h) & Coefficient Eckman (Δ). With our tool, you need to enter the respective value for Water Surface Slope, Density of Water, Eckman Constant Depth & Coefficient Eckman 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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