Significant Wave Height in SMB Prediction Method Solution

STEP 0: Pre-Calculation Summary
Formula Used
Significant Wave Height for SMB Prediction Method = (Wind Speed^2*0.283*tanh(0.0125*Fetch Parameter^0.42))/[g]
Hsig = (U^2*0.283*tanh(0.0125*φ^0.42))/[g]
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
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)
Variables Used
Significant Wave Height for SMB Prediction Method - (Measured in Meter) - Significant Wave Height for SMB Prediction Method is defined traditionally as the mean wave height of the highest third of the waves.
Wind Speed - (Measured in Meter per Second) - Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.
Fetch Parameter - Fetch Parameter is the parameter influencing the length of water over which a given wind has blown without obstruction.
STEP 1: Convert Input(s) to Base Unit
Wind Speed: 4 Meter per Second --> 4 Meter per Second No Conversion Required
Fetch Parameter: 1.22 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hsig = (U^2*0.283*tanh(0.0125*φ^0.42))/[g] --> (4^2*0.283*tanh(0.0125*1.22^0.42))/[g]
Evaluating ... ...
Hsig = 0.00627393700902667
STEP 3: Convert Result to Output's Unit
0.00627393700902667 Meter --> No Conversion Required
FINAL ANSWER
0.00627393700902667 0.006274 Meter <-- Significant Wave Height for SMB Prediction Method
(Calculation completed in 00.004 seconds)

Credits

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Coorg Institute of Technology (CIT), Coorg
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9 SMB Prediction Method Calculators

Wind Speed given Duration of Wind in SMB Prediction Method
Go Wind Speed = ([g]*Duration of the Wind)/(6.5882*exp((0.0161*(ln(Fetch Parameter)^2)-0.3692*ln(Fetch Parameter)+2.2024)^0.5+0.8798*ln(Fetch Parameter)))
Duration of Wind in SMB Prediction Method
Go Duration of the Wind = Wind Speed*6.5882*exp((0.0161*(ln(Fetch Parameter)^2)-0.3692*ln(Fetch Parameter)+2.2024)^0.5+0.8798*ln(Fetch Parameter))/[g]
Wind Speed for Significant Wave Height in SMB Prediction Method
Go Wind Speed = sqrt([g]*Significant Wave Height for SMB Prediction Method/(0.283*tanh(0.0125*Fetch Parameter^0.42)))
Significant Wave Height in SMB Prediction Method
Go Significant Wave Height for SMB Prediction Method = (Wind Speed^2*0.283*tanh(0.0125*Fetch Parameter^0.42))/[g]
Wind Speed given Period of Significant Wave in SMB Prediction Method
Go Wind Speed = ([g]*Significant Wave Period)/(7.540*tanh(0.077*Fetch Parameter^0.25))
Period of Significant Wave in SMB Prediction Method
Go Significant Wave Period = (Wind Speed*7.540*tanh(0.077*Fetch Parameter^0.25))/[g]
Wind Speed given Fetch Parameter in SMB Prediction Method
Go Wind Speed = sqrt([g]*Fetch Length/Fetch Parameter)
Fetch Length given Fetch Parameter in SMB Prediction Method
Go Fetch Length = (Fetch Parameter*Wind Speed^2)/[g]
Fetch Parameter in SMB Prediction Method
Go Fetch Parameter = ([g]*Fetch Length)/Wind Speed^2

Significant Wave Height in SMB Prediction Method Formula

Significant Wave Height for SMB Prediction Method = (Wind Speed^2*0.283*tanh(0.0125*Fetch Parameter^0.42))/[g]
Hsig = (U^2*0.283*tanh(0.0125*φ^0.42))/[g]

What is Significant Wave Height?

Significant wave height is defined as the average wave height, from trough to crest, of the highest one-third of the waves. Devised by oceanographer Walter Munk during World War II, the significant wave height provides an estimation of wave heights recorded by a trained observer from a fixed point at sea

How to Calculate Significant Wave Height in SMB Prediction Method?

Significant Wave Height in SMB Prediction Method calculator uses Significant Wave Height for SMB Prediction Method = (Wind Speed^2*0.283*tanh(0.0125*Fetch Parameter^0.42))/[g] to calculate the Significant Wave Height for SMB Prediction Method, The Significant Wave Height in SMB Prediction Method is defined as a semi-empirical method that has been used for the prediction of the significant wave height – Hs in global watersheds. Significant Wave Height for SMB Prediction Method is denoted by Hsig symbol.

How to calculate Significant Wave Height in SMB Prediction Method using this online calculator? To use this online calculator for Significant Wave Height in SMB Prediction Method, enter Wind Speed (U) & Fetch Parameter (φ) and hit the calculate button. Here is how the Significant Wave Height in SMB Prediction Method calculation can be explained with given input values -> 0.006274 = (4^2*0.283*tanh(0.0125*1.22^0.42))/[g].

FAQ

What is Significant Wave Height in SMB Prediction Method?
The Significant Wave Height in SMB Prediction Method is defined as a semi-empirical method that has been used for the prediction of the significant wave height – Hs in global watersheds and is represented as Hsig = (U^2*0.283*tanh(0.0125*φ^0.42))/[g] or Significant Wave Height for SMB Prediction Method = (Wind Speed^2*0.283*tanh(0.0125*Fetch Parameter^0.42))/[g]. Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature & Fetch Parameter is the parameter influencing the length of water over which a given wind has blown without obstruction.
How to calculate Significant Wave Height in SMB Prediction Method?
The Significant Wave Height in SMB Prediction Method is defined as a semi-empirical method that has been used for the prediction of the significant wave height – Hs in global watersheds is calculated using Significant Wave Height for SMB Prediction Method = (Wind Speed^2*0.283*tanh(0.0125*Fetch Parameter^0.42))/[g]. To calculate Significant Wave Height in SMB Prediction Method, you need Wind Speed (U) & Fetch Parameter (φ). With our tool, you need to enter the respective value for Wind Speed & Fetch Parameter 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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