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Duration of Wind in SMB Prediction Method Formula

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Duration of the Wind is the length of time during which the wind blows with a certain speed and direction. Check FAQs

d = U \cdot 6.5882 \cdot \frac{\exp ({(0.0161 \cdot ({\ln (φ)}^{2}) - 0.3692 \cdot \ln (φ) + 2.2024)}^{0.5} + 0.8798 \cdot \ln (φ))}{[g]}

d - Duration of the Wind?U - Wind Speed?φ - Fetch Parameter?[g] - Gravitational acceleration on Earth?

Duration of Wind in SMB Prediction Method Example

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Here is how the Duration of Wind in SMB Prediction Method equation looks like with Values.

Here is how the Duration of Wind in SMB Prediction Method equation looks like with Units.

Here is how the Duration of Wind in SMB Prediction Method equation looks like.

13.774 = 4 \cdot 6.5882 \cdot \frac{\exp ({(0.0161 \cdot ({\ln (1.22)}^{2}) - 0.3692 \cdot \ln (1.22) + 2.2024)}^{0.5} + 0.8798 \cdot \ln (1.22))}{9.8066}

13.774s = 4m/s \cdot 6.5882 \cdot \frac{\exp ({(0.0161 \cdot ({\ln (1.22)}^{2}) - 0.3692 \cdot \ln (1.22) + 2.2024)}^{0.5} + 0.8798 \cdot \ln (1.22))}{9.8066m/s²}

13.774 = 4 \cdot 6.5882 \cdot \frac{\exp ({(0.0161 \cdot ({\ln (1.22)}^{2}) - 0.3692 \cdot \ln (1.22) + 2.2024)}^{0.5} + 0.8798 \cdot \ln (1.22))}{9.8066}

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Duration of Wind in SMB Prediction Method Solution

Follow our step by step solution on how to calculate Duration of Wind in SMB Prediction Method?

FIRST Step Consider the formula

d = U \cdot 6.5882 \cdot \frac{\exp ({(0.0161 \cdot ({\ln (φ)}^{2}) - 0.3692 \cdot \ln (φ) + 2.2024)}^{0.5} + 0.8798 \cdot \ln (φ))}{[g]}

Next Step Substitute values of Variables

∴

d = 4m/s \cdot 6.5882 \cdot \frac{\exp ({(0.0161 \cdot ({\ln (1.22)}^{2}) - 0.3692 \cdot \ln (1.22) + 2.2024)}^{0.5} + 0.8798 \cdot \ln (1.22))}{[g]}

Next Step Substitute values of Constants

∴

d = 4m/s \cdot 6.5882 \cdot \frac{\exp ({(0.0161 \cdot ({\ln (1.22)}^{2}) - 0.3692 \cdot \ln (1.22) + 2.2024)}^{0.5} + 0.8798 \cdot \ln (1.22))}{9.8066m/s²}

Next Step Prepare to Evaluate

∴

d = 4 \cdot 6.5882 \cdot \frac{\exp ({(0.0161 \cdot ({\ln (1.22)}^{2}) - 0.3692 \cdot \ln (1.22) + 2.2024)}^{0.5} + 0.8798 \cdot \ln (1.22))}{9.8066}

Next Step Evaluate

∴

d = 13.7740288660136s

LAST Step Rounding Answer

∴

d = 13.774s

Duration of Wind in SMB Prediction Method Formula Elements

Variables

Constants

Functions

Duration of the Wind

Duration of the Wind is the length of time during which the wind blows with a certain speed and direction.

Symbol: d

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Duration of the Wind

Wind Speed

Wind Speed is a fundamental atmospheric quantity caused by air moving from high to low pressure, usually due to changes in temperature.

Symbol: U

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Wind Speed

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.

Symbol: φ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Fetch Parameter

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: 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.

Syntax: exp(Number)

Other formulas in SMB Prediction Method category

Go Significant Wave Height in SMB Prediction Method

H sig = \frac{U^{2} \cdot 0.283 \cdot \tanh (0.0125 \cdot φ^{0.42})}{[g]}

Go Wind Speed for Significant Wave Height in SMB Prediction Method

U = \sqrt{[g] \cdot \frac{H sig}{0.283 \cdot \tanh (0.0125 \cdot φ^{0.42})}}

Go Period of Significant Wave in SMB Prediction Method

T sig = \frac{U \cdot 7.540 \cdot \tanh (0.077 \cdot φ^{0.25})}{[g]}

Go Wind Speed given Period of Significant Wave in SMB Prediction Method

U = \frac{[g] \cdot T sig}{7.540 \cdot \tanh (0.077 \cdot φ^{0.25})}

How to Evaluate Duration of Wind in SMB Prediction Method?

Duration of Wind in SMB Prediction Method evaluator 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 evaluate 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 evaluate Duration of Wind in SMB Prediction Method using this online evaluator? To use this online evaluator for Duration of Wind in SMB Prediction Method, enter Wind Speed (U) & Fetch Parameter (φ) and hit the calculate button.

FAQs on Duration of Wind in SMB Prediction Method

What is the formula to find Duration of Wind in SMB Prediction Method?

The formula of Duration of Wind in SMB Prediction Method is expressed as 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]. Here is an example- 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].

How to calculate Duration of Wind in SMB Prediction Method?

With Wind Speed (U) & Fetch Parameter (φ) we can find Duration of Wind in SMB Prediction Method using the formula - 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]. This formula also uses Gravitational acceleration on Earth constant(s) and , Natural Logarithm (ln), Exponential Growth (exp) function(s).

Can the Duration of Wind in SMB Prediction Method be negative?

No, the Duration of Wind in SMB Prediction Method, measured in Time cannot be negative.

Which unit is used to measure Duration of Wind in SMB Prediction Method?

Duration of Wind in SMB Prediction Method is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Duration of Wind in SMB Prediction Method can be measured.

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Duration of Wind in SMB Prediction Method Formula

Duration of Wind in SMB Prediction Method Example

Duration of Wind in SMB Prediction Method Solution

Duration of Wind in SMB Prediction Method Formula Elements

Other formulas in SMB Prediction Method category

How to Evaluate Duration of Wind in SMB Prediction Method?

FAQs on Duration of Wind in SMB Prediction Method

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