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, shear stress describes the force of water that is trying to drag the channel surface downstream with it.
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) - The Density of Water is mass per unit of water.
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 Eckman - Coefficient Eckman is a multiplier or factor that measures a particular property.
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 00.004 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 Coefficients b)*e^(Hoerls best-fit Coefficients c*Filling Index)
Ratio of Depth of Channel to Depth at which Seaward Slope of Ocean Bar meets Sea Bottom
Go Ratio of Depth of the Channel = (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)/Ratio of Depth of the Channel)+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 = Ratio of Depth of the Channel*(Water Depth between Sea Tip and Offshore Bottom-Natural Depth of Ocean Bar)+Natural Depth of Ocean Bar
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
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)

Shear Stress at Water Surface given Water Surface Slope Formula

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.

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, Shear Stress at Water Surface given Water Surface Slope is measure of force of friction from fluid acting on body in 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?
Shear Stress at Water Surface given Water Surface Slope is measure of force of friction from fluid acting on body in 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, The Density of Water is mass per unit of water, 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 Eckman is a multiplier or factor that measures a particular property.
How to calculate Shear Stress at Water Surface given Water Surface Slope?
Shear Stress at Water Surface given Water Surface Slope is measure of force of friction from fluid acting on body in 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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