✖Velocity at the Surface is the speed and direction of water flow at the very top layer of the ocean or coastal water body. This velocity is influenced by various factors, including wind, waves etc.ⓘ Velocity at the Surface [V_s]			+10% -10%
✖Depth of Frictional Influence is the vertical extent in a water column where frictional forces from the seabed affect the flow of water.ⓘ Depth of Frictional Influence [D_F]			+10% -10%
✖Water Density is mass per unit volume of water.ⓘ Water Density [ρ_water]			+10% -10%
✖Angular Speed of the Earth is the rate at which the Earth rotates around its own axis. It is the angle through which the Earth rotates in a unit of time.ⓘ Angular Speed of the Earth [Ω_E]			+10% -10%
✖Latitude of the Line is the point at which a specific line or structure is located, this term often pertains to the position of coastal features relative to the Earth's equatorial plane.ⓘ Latitude of the Line [L]			+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 Water Surface given Velocity at Surface [τ]

⎘ Copy

👎

Formula

✖

Shear Stress at Water Surface given Velocity at Surface

Formula

`"τ" = "V"_{"s"}*sqrt(2*"D"_{"F"}*"ρ"_{"water"}*"Ω"_{"E"}*sin("L"))/pi`

Example

`"0.598328N/m²"="0.5m/s"*sqrt(2*"120m"*"1000kg/m³"*"7.2921159E^-05rad/s"*sin("0.94m"))/pi`

Calculator

LaTeX

Reset

👍

Download Surf Zone Hydrodynamics Formula PDF PDF Image

Shear Stress at Water Surface given Velocity at Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress at the Water Surface = Velocity at the Surface*sqrt(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth*sin(Latitude of the Line))/pi
τ = V_s*sqrt(2*D_F*ρ_water*Ω_E*sin(L))/pi
This formula uses 1 Constants, 2 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Velocity at the Surface - (Measured in Meter per Second) - Velocity at the Surface is the speed and direction of water flow at the very top layer of the ocean or coastal water body. This velocity is influenced by various factors, including wind, waves etc.
Depth of Frictional Influence - (Measured in Meter) - Depth of Frictional Influence is the vertical extent in a water column where frictional forces from the seabed affect the flow of water.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit volume of water.
Angular Speed of the Earth - (Measured in Radian per Second) - Angular Speed of the Earth is the rate at which the Earth rotates around its own axis. It is the angle through which the Earth rotates in a unit of time.
Latitude of the Line - (Measured in Meter) - Latitude of the Line is the point at which a specific line or structure is located, this term often pertains to the position of coastal features relative to the Earth's equatorial plane.

STEP 1: Convert Input(s) to Base Unit

Velocity at the Surface: 0.5 Meter per Second --> 0.5 Meter per Second No Conversion Required
Depth of Frictional Influence: 120 Meter --> 120 Meter No Conversion Required
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Angular Speed of the Earth: 7.2921159E-05 Radian per Second --> 7.2921159E-05 Radian per Second No Conversion Required
Latitude of the Line: 0.94 Meter --> 0.94 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = V_s*sqrt(2*D_F*ρ_water*Ω_E*sin(L))/pi --> 0.5*sqrt(2*120*1000*7.2921159E-05*sin(0.94))/pi

Evaluating ... ...

τ = 0.598328131836061

STEP 3: Convert Result to Output's Unit

0.598328131836061 Pascal -->0.598328131836061 Newton per Square Meter (Check conversion here)

FINAL ANSWER

0.598328131836061 ≈ 0.598328 Newton per Square Meter <-- Shear Stress at the Water Surface

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Mooring » Mooring Forces » Shear Stress at Water Surface given Velocity at Surface

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 25 Mooring Forces Calculators

Latitude given Velocity at Surface

Go Latitude of the Line = asin((pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth))

Angular Velocity of Earth for Velocity at Surface

Go Angular Speed of the Earth = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Water Density*sin(Latitude of the Line))

Density of Water given Velocity at Surface

Go Water Density = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Angular Speed of the Earth*sin(Latitude of the Line))

Depth given Velocity at Surface

Go Depth of Frictional Influence = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Water Density*Angular Speed of the Earth*sin(Latitude of the Line))

Velocity at Surface given Shear Stress at Water Surface

Go Velocity at the Surface = pi*Shear Stress at the Water Surface/(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth*sin(Latitude of the Line))

Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number

Go Angle of the Current = acos((Reynolds Number for Mooring Forces*Kinematic Viscosity in Stokes)/(Average Current Speed*Waterline Length of a Vessel))

Kinematic Viscosity of Water given Reynolds Number

Go Kinematic Viscosity in Stokes = (Average Current Speed*Waterline Length of a Vessel*cos(Angle of the Current))/Reynolds Number

Waterline Length of Vessel given Reynolds Number

Go Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity in Stokes)/Average Current Speed*cos(Angle of the Current)

Average Current Speed given Reynolds Number

Go Average Current Speed = (Reynolds Number*Kinematic Viscosity in Stokes)/Waterline Length of a Vessel*cos(Angle of the Current)

Wind Speed at Standard Elevation of 10 m above Water's Surface using Drag Force due to Wind

Go Wind Speed at Height of 10 m = sqrt(Drag Force/(0.5*Air Density*Coefficient of Drag*Projected Area of the Vessel))

Waterline Length of Vessel for Wetted Surface Area of Vessel

Go Waterline Length of a Vessel = (Wetted Surface Area of Vessel-(35*Displacement of a Vessel/Draft in Vessel))/1.7*Draft in Vessel

Displacement of Vessel for Wetted Surface Area of Vessel

Go Displacement of a Vessel = (Vessel Draft*(Wetted Surface Area of Vessel-(1.7*Vessel Draft*Waterline Length of a Vessel)))/35

Wetted Surface Area of Vessel

Go Wetted Surface Area of Vessel = (1.7*Vessel Draft*Waterline Length of a Vessel)+((35*Displacement of a Vessel)/Vessel Draft)

Coefficient of Drag for Winds Measured at 10 m given Drag Force due to Wind

Go Coefficient of Drag = Drag Force/(0.5*Air Density*Projected Area of the Vessel*Wind Speed at Height of 10 m^2)

Projected Area of Vessel above Waterline given Drag Force due to Wind

Go Projected Area of the Vessel = Drag Force/(0.5*Air Density*Coefficient of Drag*Wind Speed at Height of 10 m^2)

Mass Density of Air given Drag Force due to Wind

Go Air Density = Drag Force/(0.5*Coefficient of Drag*Projected Area of the Vessel*Wind Speed at Height of 10 m^2)

Drag Force due to Wind

Go Drag Force = 0.5*Air Density*Coefficient of Drag*Projected Area of the Vessel*Wind Speed at Height of 10 m^2

Total Longitudinal Current Load on Vessel

Go Total Longitudinal Current Load on a Vessel = Form Drag of a Vessel+Skin Friction of a Vessel+Vessel Propeller Drag

Waterline Length of Vessel given Expanded or Developed Blade Area

Go Waterline Length of a Vessel = (Expanded or Developed Blade Area of a Propeller*0.838*Area Ratio)/Vessel Beam

Vessel Beam given Expanded or Developed Blade Area of Propeller

Go Vessel Beam = (Expanded or Developed Blade Area of a Propeller*0.838*Area Ratio)/Waterline Length of a Vessel

Area Ratio given Expanded or Developed Blade Area of Propeller

Go Area Ratio = Waterline Length of a Vessel*Vessel Beam/(Expanded or Developed Blade Area of a Propeller*0.838)

Expanded or Developed Blade Area of Propeller

Go Expanded or Developed Blade Area of a Propeller = (Waterline Length of a Vessel*Vessel Beam)/0.838*Area Ratio

Elevation given Velocity at Desired Elevation

Go Desired Elevation = 10*(Velocity at the Desired Elevation z/Wind Speed at Height of 10 m)^1/0.11

Wind Speed at Standard Elevation of 10 m given Velocity at Desired Elevation

Go Wind Speed at Height of 10 m = Velocity at the Desired Elevation z/(Desired Elevation/10)^0.11

Velocity at Desired Elevation

Go Velocity at the Desired Elevation z = Wind Speed at Height of 10 m*(Desired Elevation/10)^0.11

Shear Stress at Water Surface given Velocity at Surface Formula

What is Ocean Dynamics?

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 Velocity at Surface?

Shear Stress at Water Surface given Velocity at Surface calculator uses Shear Stress at the Water Surface = Velocity at the Surface*sqrt(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth*sin(Latitude of the Line))/pi to calculate the Shear Stress at the Water Surface, The Shear Stress at Water Surface given Velocity at Surface formula is defined as the wind shear stress or surface shear stress, is a measure of the force exerted by the wind on the surface of the water. It is a critical parameter in understanding how wind energy is transferred to the water, which drives various physical processes in coastal and ocean engineering. Shear Stress at the Water Surface is denoted by τ symbol.

How to calculate Shear Stress at Water Surface given Velocity at Surface using this online calculator? To use this online calculator for Shear Stress at Water Surface given Velocity at Surface, enter Velocity at the Surface (V_s), Depth of Frictional Influence (D_F), Water Density (ρ_water), Angular Speed of the Earth (Ω_E) & Latitude of the Line (L) and hit the calculate button. Here is how the Shear Stress at Water Surface given Velocity at Surface calculation can be explained with given input values -> 0.598328 = 0.5*sqrt(2*120*1000*7.2921159E-05*sin(0.94))/pi.

FAQ

What is Shear Stress at Water Surface given Velocity at Surface?

The Shear Stress at Water Surface given Velocity at Surface formula is defined as the wind shear stress or surface shear stress, is a measure of the force exerted by the wind on the surface of the water. It is a critical parameter in understanding how wind energy is transferred to the water, which drives various physical processes in coastal and ocean engineering and is represented as τ = V_s*sqrt(2*D_F*ρ_water*Ω_E*sin(L))/pi or Shear Stress at the Water Surface = Velocity at the Surface*sqrt(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth*sin(Latitude of the Line))/pi. Velocity at the Surface is the speed and direction of water flow at the very top layer of the ocean or coastal water body. This velocity is influenced by various factors, including wind, waves etc, Depth of Frictional Influence is the vertical extent in a water column where frictional forces from the seabed affect the flow of water, Water Density is mass per unit volume of water, Angular Speed of the Earth is the rate at which the Earth rotates around its own axis. It is the angle through which the Earth rotates in a unit of time & Latitude of the Line is the point at which a specific line or structure is located, this term often pertains to the position of coastal features relative to the Earth's equatorial plane.

How to calculate Shear Stress at Water Surface given Velocity at Surface?

The Shear Stress at Water Surface given Velocity at Surface formula is defined as the wind shear stress or surface shear stress, is a measure of the force exerted by the wind on the surface of the water. It is a critical parameter in understanding how wind energy is transferred to the water, which drives various physical processes in coastal and ocean engineering is calculated using Shear Stress at the Water Surface = Velocity at the Surface*sqrt(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth*sin(Latitude of the Line))/pi. To calculate Shear Stress at Water Surface given Velocity at Surface, you need Velocity at the Surface (V_s), Depth of Frictional Influence (D_F), Water Density (ρ_water), Angular Speed of the Earth (Ω_E) & Latitude of the Line (L). With our tool, you need to enter the respective value for Velocity at the Surface, Depth of Frictional Influence, Water Density, Angular Speed of the Earth & Latitude of the Line and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search