Duration of Wind in SMB Prediction Method Calculator

✖Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.ⓘ Wind Speed [U]			+10% -10%
✖Fetch Parameter is often associated with the concept of fetch, which is the unobstructed distance over which the wind blows across a body of water in a constant direction.ⓘ Fetch Parameter [φ]			+10% -10%

✖Duration of the Wind is the length of time during which the wind blows with a certain speed and direction.ⓘ Duration of Wind in SMB Prediction Method [d]

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Formula

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Duration of Wind in SMB Prediction Method

Formula

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

Example

`"13.77403s"="4m/s"*6.5882*exp((0.0161*(ln("1.22")^2)-0.3692*ln("1.22")+2.2024)^0.5+0.8798*ln("1.22"))/"[g]"`

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Duration of Wind in SMB Prediction Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Duration of the Wind - (Measured in Second) - Duration of the Wind is the length of time during which the wind blows with a certain speed and direction.
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 often associated with the concept of fetch, which is the unobstructed distance over which the wind blows across a body of water in a constant direction.

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

d = U*6.5882*exp((0.0161*(ln(φ)^2)-0.3692*ln(φ)+2.2024)^0.5+0.8798*ln(φ))/[g] --> 4*6.5882*exp((0.0161*(ln(1.22)^2)-0.3692*ln(1.22)+2.2024)^0.5+0.8798*ln(1.22))/[g]

Evaluating ... ...

d = 13.7740288660136

STEP 3: Convert Result to Output's Unit

13.7740288660136 Second --> No Conversion Required

FINAL ANSWER

13.7740288660136 ≈ 13.77403 Second <-- Duration of the Wind

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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National Institute of Technology (NIT), Warangal

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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

Duration of Wind in SMB Prediction Method Formula

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 Duration of Wind in SMB Prediction Method?

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

How to calculate Duration of Wind in SMB Prediction Method using this online calculator? To use this online calculator for Duration of Wind in SMB Prediction Method, enter Wind Speed (U) & Fetch Parameter (φ) and hit the calculate button. Here is how the Duration of Wind in SMB Prediction Method calculation can be explained with given input values -> 13.77403 = 4*6.5882*exp((0.0161*(ln(1.22)^2)-0.3692*ln(1.22)+2.2024)^0.5+0.8798*ln(1.22))/[g].

FAQ

What is Duration of Wind in SMB Prediction Method?

The Duration of Wind in SMB Prediction Method formula is defined as the wind speed parameter influencing the Sverdrup-Munk-Bretschneider (SMB) method, which is a semi-empirical method that has been used for the prediction of the significant wave height (H_s) in global watersheds and is represented as d = U*6.5882*exp((0.0161*(ln(φ)^2)-0.3692*ln(φ)+2.2024)^0.5+0.8798*ln(φ))/[g] or 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 is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature & Fetch Parameter is often associated with the concept of fetch, which is the unobstructed distance over which the wind blows across a body of water in a constant direction.

How to calculate Duration of Wind in SMB Prediction Method?

The Duration of Wind in SMB Prediction Method formula is defined as the wind speed parameter influencing the Sverdrup-Munk-Bretschneider (SMB) method, which is a semi-empirical method that has been used for the prediction of the significant wave height (H_s) in global watersheds is calculated using 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]. To calculate Duration of Wind 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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