Wave Height for Mass Transport Velocity to second-order Calculator

✖Wavelength of Wave can be defined as the distance between two successive crests or troughs of a wave.ⓘ Wavelength of Wave [λ]			+10% -10%
✖Mass Transport Velocity is the mean drift velocity and is denoted by U(z) symbol.ⓘ Mass Transport Velocity [U_z]			+10% -10%
✖Water Depth for Fluid Velocity is the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth for Fluid Velocity [d]			+10% -10%
✖Celerity of the Wave refers to the speed at which a wave propagates through a medium.ⓘ Celerity of The Wave [C]			+10% -10%
✖Distance above the Bottom expressing the local fluid velocity component.ⓘ Distance above the Bottom [D_Z+d]			+10% -10%

✖Height of The Wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height for Mass Transport Velocity to second-order [H_w]

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Formula

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Wave Height for Mass Transport Velocity to second-order

Formula

`"H"_{"w"} = ("λ"*(("U"_{"z"}*(2*sinh(2*pi*"d"/"λ")^2/("C"*cosh(4*pi*("D"_{"Z+d"})/"λ"))))^0.5)/pi)`

Example

`"13.99289m"=("32m"*(("0.152m/s"*(2*sinh(2*pi*"17m"/"32m")^2/("24.05m/s"*cosh(4*pi*("2m")/"32m"))))^0.5)/pi)`

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Wave Height for Mass Transport Velocity to second-order Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of The Wave = (Wavelength of Wave*((Mass Transport Velocity*(2*sinh(2*pi*Water Depth for Fluid Velocity/Wavelength of Wave)^2/(Celerity of The Wave*cosh(4*pi*(Distance above the Bottom)/Wavelength of Wave))))^0.5)/pi)
H_w = (λ*((U_z*(2*sinh(2*pi*d/λ)^2/(C*cosh(4*pi*(D_Z+d)/λ))))^0.5)/pi)
This formula uses 1 Constants, 2 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sinh - The hyperbolic sine function, also known as the sinh function, is a mathematical function that is defined as the hyperbolic analogue of the sine function., sinh(Number)
cosh - The hyperbolic cosine function is a mathematical function that is defined as the ratio of the sum of the exponential functions of x and negative x to 2., cosh(Number)

Variables Used

Height of The Wave - (Measured in Meter) - Height of The Wave is the difference between the elevations of a crest and a neighboring trough.
Wavelength of Wave - (Measured in Meter) - Wavelength of Wave can be defined as the distance between two successive crests or troughs of a wave.
Mass Transport Velocity - (Measured in Meter per Second) - Mass Transport Velocity is the mean drift velocity and is denoted by U(z) symbol.
Water Depth for Fluid Velocity - (Measured in Meter) - Water Depth for Fluid Velocity is the depth as measured from the water level to the bottom of the considered water body.
Celerity of The Wave - (Measured in Meter per Second) - Celerity of the Wave refers to the speed at which a wave propagates through a medium.
Distance above the Bottom - (Measured in Meter) - Distance above the Bottom expressing the local fluid velocity component.

STEP 1: Convert Input(s) to Base Unit

Wavelength of Wave: 32 Meter --> 32 Meter No Conversion Required
Mass Transport Velocity: 0.152 Meter per Second --> 0.152 Meter per Second No Conversion Required
Water Depth for Fluid Velocity: 17 Meter --> 17 Meter No Conversion Required
Celerity of The Wave: 24.05 Meter per Second --> 24.05 Meter per Second No Conversion Required
Distance above the Bottom: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_w = (λ*((U_z*(2*sinh(2*pi*d/λ)^2/(C*cosh(4*pi*(D_Z+d)/λ))))^0.5)/pi) --> (32*((0.152*(2*sinh(2*pi*17/32)^2/(24.05*cosh(4*pi*(2)/32))))^0.5)/pi)

Evaluating ... ...

H_w = 13.9928893456955

STEP 3: Convert Result to Output's Unit

13.9928893456955 Meter --> No Conversion Required

FINAL ANSWER

13.9928893456955 ≈ 13.99289 Meter <-- Height of The Wave

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Local Fluid and Mass Transport Velocity » Mass Transport Velocity » Wave Height for Mass Transport Velocity to second-order

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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Wave Height for Mass Transport Velocity to second-order

Go Height of The Wave = (Wavelength of Wave*((Mass Transport Velocity*(2*sinh(2*pi*Water Depth for Fluid Velocity/Wavelength of Wave)^2/(Celerity of The Wave*cosh(4*pi*(Distance above the Bottom)/Wavelength of Wave))))^0.5)/pi)

Mass Transport Velocity to second-order

Go Mass Transport Velocity = (pi*Height of The Wave/Wavelength of Wave)^2*(Celerity of The Wave*cosh(4*pi*(Distance above the Bottom)/Wavelength of Wave))/(2*sinh(2*pi*Water Depth for Fluid Velocity/Wavelength of Wave)^2)

Wave Height for Mass Transport Velocity to second-order Formula

What is Wave Celerity?

The Wave Celerity is defined as the speed at which an individual wave advances or “propagates” . The open channel Surges due to sudden changes of flow depth creates Celerity (Wave Velocity) in the flow in addition to the normal water velocity of the channels. These waves travel in the downstream and sometimes upstream of the channels depending on the various situations.

How to Calculate Wave Height for Mass Transport Velocity to second-order?

Wave Height for Mass Transport Velocity to second-order calculator uses Height of The Wave = (Wavelength of Wave*((Mass Transport Velocity*(2*sinh(2*pi*Water Depth for Fluid Velocity/Wavelength of Wave)^2/(Celerity of The Wave*cosh(4*pi*(Distance above the Bottom)/Wavelength of Wave))))^0.5)/pi) to calculate the Height of The Wave, The Wave Height for Mass Transport Velocity to second-order of a surface wave is the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering. Height of The Wave is denoted by H_w symbol.

How to calculate Wave Height for Mass Transport Velocity to second-order using this online calculator? To use this online calculator for Wave Height for Mass Transport Velocity to second-order, enter Wavelength of Wave (λ), Mass Transport Velocity (U_z), Water Depth for Fluid Velocity (d), Celerity of The Wave (C) & Distance above the Bottom (D_Z+d) and hit the calculate button. Here is how the Wave Height for Mass Transport Velocity to second-order calculation can be explained with given input values -> 13.99289 = (32*((0.152*(2*sinh(2*pi*17/32)^2/(24.05*cosh(4*pi*(2)/32))))^0.5)/pi).

FAQ

What is Wave Height for Mass Transport Velocity to second-order?

The Wave Height for Mass Transport Velocity to second-order of a surface wave is the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering and is represented as H_w = (λ*((U_z*(2*sinh(2*pi*d/λ)^2/(C*cosh(4*pi*(D_Z+d)/λ))))^0.5)/pi) or Height of The Wave = (Wavelength of Wave*((Mass Transport Velocity*(2*sinh(2*pi*Water Depth for Fluid Velocity/Wavelength of Wave)^2/(Celerity of The Wave*cosh(4*pi*(Distance above the Bottom)/Wavelength of Wave))))^0.5)/pi). Wavelength of Wave can be defined as the distance between two successive crests or troughs of a wave, Mass Transport Velocity is the mean drift velocity and is denoted by U(z) symbol, Water Depth for Fluid Velocity is the depth as measured from the water level to the bottom of the considered water body, Celerity of the Wave refers to the speed at which a wave propagates through a medium & Distance above the Bottom expressing the local fluid velocity component.

How to calculate Wave Height for Mass Transport Velocity to second-order?

The Wave Height for Mass Transport Velocity to second-order of a surface wave is the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering is calculated using Height of The Wave = (Wavelength of Wave*((Mass Transport Velocity*(2*sinh(2*pi*Water Depth for Fluid Velocity/Wavelength of Wave)^2/(Celerity of The Wave*cosh(4*pi*(Distance above the Bottom)/Wavelength of Wave))))^0.5)/pi). To calculate Wave Height for Mass Transport Velocity to second-order, you need Wavelength of Wave (λ), Mass Transport Velocity (U_z), Water Depth for Fluid Velocity (d), Celerity of The Wave (C) & Distance above the Bottom (D_Z+d). With our tool, you need to enter the respective value for Wavelength of Wave, Mass Transport Velocity, Water Depth for Fluid Velocity, Celerity of The Wave & Distance above the Bottom 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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