Wind Speed given Duration of Wind in SMB Prediction Method Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
U = ([g]*d)/(6.5882*exp((0.0161*(ln(φ)^2)-0.3692*ln(φ)+2.2024)^0.5+0.8798*ln(φ)))
This formula uses 1 Constants, 2 Functions, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
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.
Duration of the Wind - (Measured in Second) - Duration of the Wind in SMB Prediction Method. Sverdruv Munk Bretschneider (SMB) methods is a semi-empirical method used for the prediction of the significant wave height.
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
Duration of the Wind: 13.77 Second --> 13.77 Second No Conversion Required
Fetch Parameter: 1.22 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
U = ([g]*d)/(6.5882*exp((0.0161*(ln(φ)^2)-0.3692*ln(φ)+2.2024)^0.5+0.8798*ln(φ))) --> ([g]*13.77)/(6.5882*exp((0.0161*(ln(1.22)^2)-0.3692*ln(1.22)+2.2024)^0.5+0.8798*ln(1.22)))
Evaluating ... ...
U = 3.99883001086966
STEP 3: Convert Result to Output's Unit
3.99883001086966 Meter per Second --> No Conversion Required
FINAL ANSWER
3.99883001086966 3.99883 Meter per Second <-- Wind Speed
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
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

Wind Speed given Duration of Wind in SMB Prediction Method Formula

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)))
U = ([g]*d)/(6.5882*exp((0.0161*(ln(φ)^2)-0.3692*ln(φ)+2.2024)^0.5+0.8798*ln(φ)))

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 Wind Speed given Duration of Wind in SMB Prediction Method?

Wind Speed given Duration of Wind in SMB Prediction Method calculator uses 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))) to calculate the Wind Speed, Wind Speed given Duration of Wind in SMB Prediction Method is defined as wind speed parameter influencing Sverdrup-Munk-Bretschneider (SMB) method, which is semi-empirical method that has been used for prediction of significant wave height – Hs in global watersheds. Wind Speed is denoted by U symbol.

How to calculate Wind Speed given Duration of Wind in SMB Prediction Method using this online calculator? To use this online calculator for Wind Speed given Duration of Wind in SMB Prediction Method, enter Duration of the Wind (d) & Fetch Parameter (φ) and hit the calculate button. Here is how the Wind Speed given Duration of Wind in SMB Prediction Method calculation can be explained with given input values -> 3.99883 = ([g]*13.77)/(6.5882*exp((0.0161*(ln(1.22)^2)-0.3692*ln(1.22)+2.2024)^0.5+0.8798*ln(1.22))).

FAQ

What is Wind Speed given Duration of Wind in SMB Prediction Method?
Wind Speed given Duration of Wind in SMB Prediction Method is defined as wind speed parameter influencing Sverdrup-Munk-Bretschneider (SMB) method, which is semi-empirical method that has been used for prediction of significant wave height – Hs in global watersheds and is represented as U = ([g]*d)/(6.5882*exp((0.0161*(ln(φ)^2)-0.3692*ln(φ)+2.2024)^0.5+0.8798*ln(φ))) or 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 the Wind in SMB Prediction Method. Sverdruv Munk Bretschneider (SMB) methods is a semi-empirical method used for the prediction of the significant wave height & Fetch Parameter is the parameter influencing the length of water over which a given wind has blown without obstruction.
How to calculate Wind Speed given Duration of Wind in SMB Prediction Method?
Wind Speed given Duration of Wind in SMB Prediction Method is defined as wind speed parameter influencing Sverdrup-Munk-Bretschneider (SMB) method, which is semi-empirical method that has been used for prediction of significant wave height – Hs in global watersheds is calculated using 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))). To calculate Wind Speed given Duration of Wind in SMB Prediction Method, you need Duration of the Wind (d) & Fetch Parameter (φ). With our tool, you need to enter the respective value for Duration of the Wind & Fetch Parameter 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 Wind Speed?
In this formula, Wind Speed uses Duration of the Wind & Fetch Parameter. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Wind Speed = sqrt([g]*Significant Wave Height for SMB Prediction Method/(0.283*tanh(0.0125*Fetch Parameter^0.42)))
  • Wind Speed = ([g]*Significant Wave Period)/(7.540*tanh(0.077*Fetch Parameter^0.25))
  • Wind Speed = sqrt([g]*Fetch Length/Fetch Parameter)
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