Water Depth given Maximum Wave Height by Miche criterion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Water Depth = ((atanh(Maximum Wave Height/(0.14*Wavelength)))/Wave Number)
d = ((atanh(Hmax/(0.14*λ)))/k)
This formula uses 2 Functions, 4 Variables
Functions Used
tanh - The hyperbolic tangent function (tanh) is a function that is defined as the ratio of the hyperbolic sine function (sinh) to the hyperbolic cosine function (cosh)., tanh(Number)
atanh - The inverse hyperbolic tangent function returns the value whose hyperbolic tangent is a number., atanh(Number)
Variables Used
Water Depth - (Measured in Meter) - Water Depth of the considered catchment. Water depth means the depth as measured from the water level to the bottom of the considered water body.
Maximum Wave Height - (Measured in Meter) - Maximum Wave Height that is most probable influenced by the difference between the elevations of a crest and a neighboring trough.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
Wave Number - Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.
STEP 1: Convert Input(s) to Base Unit
Maximum Wave Height: 0.7 Meter --> 0.7 Meter No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Wave Number: 0.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = ((atanh(Hmax/(0.14*λ)))/k) --> ((atanh(0.7/(0.14*26.8)))/0.2)
Evaluating ... ...
d = 0.943890799977719
STEP 3: Convert Result to Output's Unit
0.943890799977719 Meter --> No Conversion Required
FINAL ANSWER
0.943890799977719 0.943891 Meter <-- Water Depth
(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg
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13 Energy Flux Method Calculators

Water Depth given Energy Dissipation Rate per unit Surface Area due to Wave Breaking
Go Water Depth = Decay Coefficient*(Wave Energy Per Unit Surface Area*Wave Group Speed-(Energy Flux associated with Stable Wave Height))/Energy Dissipation Rate per unit Surface Area
Maximum Wave Height given Energy Dissipation Rate
Go Maximum Wave Height = sqrt(Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Percentage of Waves Breaking*Mean Wave Frequency))
Energy Dissipation Rate per unit Surface Area due to Wave Breaking
Go Energy Dissipation = (Decay Coefficient/Water Depth)*(Wave Energy Per Unit Surface Area*Wave Group Speed-(Energy Flux associated with Stable Wave Height))
Percentage of Waves Breaking given Energy Dissipation Rate
Go Percentage of Waves Breaking = Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Mean Wave Frequency*(Maximum Wave Height^2))
Mean Wave Frequency given Energy Dissipation Rate
Go Mean Wave Frequency = Energy Dissipation Rate per unit Surface Area/(0.25*Water Density*[g]*Percentage of Waves Breaking*Maximum Wave Height^2)
Energy Dissipation Rate by Battjes and Janssen
Go Energy Dissipation Rate per unit Surface Area = 0.25*Water Density*[g]*Percentage of Waves Breaking*Mean Wave Frequency*(Maximum Wave Height^2)
Water Depth given Maximum Wave Height by Miche criterion
Go Water Depth = ((atanh(Maximum Wave Height/(0.14*Wavelength)))/Wave Number)
Wave Number given Maximum Wave Height by Miche Criterion
Go Wave Number = atanh(Maximum Wave Height/(0.14*Wavelength))/Water Depth
Wavelength given Maximum Wave Height by Miche Criterion
Go Wavelength = Maximum Wave Height/(0.14*tanh(Wave Number*Water Depth))
Maximum Wave Height using Miche Criterion
Go Maximum Wave Height = 0.14*Wavelength*tanh(Water Depth*Wave Number)
Energy Flux associated with Stable Wave Height
Go Energy Flux associated with Stable Wave Height = Wave Energy Per Unit Surface Area*Wave Group Speed
Water Depth given Stable Wave Height
Go Water Depth = Stable Wave Height/0.4
Stable Wave Height
Go Wave Height = 0.4*Water Depth

Water Depth given Maximum Wave Height by Miche criterion Formula

Water Depth = ((atanh(Maximum Wave Height/(0.14*Wavelength)))/Wave Number)
d = ((atanh(Hmax/(0.14*λ)))/k)

What is Breaking wave?

In fluid dynamics, a breaking wave or breaker is a wave whose amplitude reaches a critical level at which some process can suddenly start to occur that causes large amounts of wave energy to be transformed into turbulent kinetic energy.

How to Calculate Water Depth given Maximum Wave Height by Miche criterion?

Water Depth given Maximum Wave Height by Miche criterion calculator uses Water Depth = ((atanh(Maximum Wave Height/(0.14*Wavelength)))/Wave Number) to calculate the Water Depth, The Water Depth given Maximum Wave Height by Miche criterion is a measure by soundings usually acquired by hydrographic surveys, measured from the water level to the bottom surface. Water Depth is denoted by d symbol.

How to calculate Water Depth given Maximum Wave Height by Miche criterion using this online calculator? To use this online calculator for Water Depth given Maximum Wave Height by Miche criterion, enter Maximum Wave Height (Hmax), Wavelength (λ) & Wave Number (k) and hit the calculate button. Here is how the Water Depth given Maximum Wave Height by Miche criterion calculation can be explained with given input values -> 0.943891 = ((atanh(0.7/(0.14*26.8)))/0.2).

FAQ

What is Water Depth given Maximum Wave Height by Miche criterion?
The Water Depth given Maximum Wave Height by Miche criterion is a measure by soundings usually acquired by hydrographic surveys, measured from the water level to the bottom surface and is represented as d = ((atanh(Hmax/(0.14*λ)))/k) or Water Depth = ((atanh(Maximum Wave Height/(0.14*Wavelength)))/Wave Number). Maximum Wave Height that is most probable influenced by the difference between the elevations of a crest and a neighboring trough, Wavelength can be defined as the distance between two successive crests or troughs of a wave & Wave Number is the spatial frequency of a wave, measured in cycles per unit distance or radians per unit distance.
How to calculate Water Depth given Maximum Wave Height by Miche criterion?
The Water Depth given Maximum Wave Height by Miche criterion is a measure by soundings usually acquired by hydrographic surveys, measured from the water level to the bottom surface is calculated using Water Depth = ((atanh(Maximum Wave Height/(0.14*Wavelength)))/Wave Number). To calculate Water Depth given Maximum Wave Height by Miche criterion, you need Maximum Wave Height (Hmax), Wavelength (λ) & Wave Number (k). With our tool, you need to enter the respective value for Maximum Wave Height, Wavelength & Wave Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Water Depth?
In this formula, Water Depth uses Maximum Wave Height, Wavelength & Wave Number. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Water Depth = Decay Coefficient*(Wave Energy Per Unit Surface Area*Wave Group Speed-(Energy Flux associated with Stable Wave Height))/Energy Dissipation Rate per unit Surface Area
  • Water Depth = Stable Wave Height/0.4
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