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Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula Formula

GoDeepwater Wave Height for Total Transport Formula

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Deepwater Wave Height is the vertical distance between the crest (highest point) and the trough (lowest point) of a wave in deep water. Check FAQs

H d = \sqrt{\frac{S}{0.014 \cdot C o \cdot {K r}^{2} \cdot \sin (φ br) \cdot \cos (φ br)}}

H_d - Deepwater Wave Height?S - Total Littoral Transport?C_o - Deepwater Wave Celerity?K_r - Refraction Coefficient?φ_br - Angle of Wave Incidence?

Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula Example

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Here is how the Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula equation looks like with Values.

Here is how the Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula equation looks like with Units.

Here is how the Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula equation looks like.

3.5006 = \sqrt{\frac{0.0039}{0.014 \cdot 4.5 \cdot {0.1}^{2} \cdot \sin (45) \cdot \cos (45)}}

3.5006m = \sqrt{\frac{0.0039}{0.014 \cdot 4.5m/s \cdot {0.1}^{2} \cdot \sin (45°) \cdot \cos (45°)}}

3.5006 = \sqrt{\frac{0.0039}{0.014 \cdot 4.5 \cdot {0.1}^{2} \cdot \sin (45) \cdot \cos (45)}}

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Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula Solution

Follow our step by step solution on how to calculate Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula?

FIRST Step Consider the formula

H d = \sqrt{\frac{S}{0.014 \cdot C o \cdot {K r}^{2} \cdot \sin (φ br) \cdot \cos (φ br)}}

Next Step Substitute values of Variables

∴

H d = \sqrt{\frac{0.0039}{0.014 \cdot 4.5m/s \cdot {0.1}^{2} \cdot \sin (45°) \cdot \cos (45°)}}

Next Step Convert Units

∴

H d = \sqrt{\frac{0.0039}{0.014 \cdot 4.5m/s \cdot {0.1}^{2} \cdot \sin (0.7854rad) \cdot \cos (0.7854rad)}}

Next Step Prepare to Evaluate

∴

H d = \sqrt{\frac{0.0039}{0.014 \cdot 4.5 \cdot {0.1}^{2} \cdot \sin (0.7854) \cdot \cos (0.7854)}}

Next Step Evaluate

∴

H d = 3.50056684752173m

LAST Step Rounding Answer

∴

H d = 3.5006m

Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula Formula Elements

Variables

Functions

Deepwater Wave Height

Deepwater Wave Height is the vertical distance between the crest (highest point) and the trough (lowest point) of a wave in deep water.

Symbol: H_d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Deepwater Wave Height

Total Littoral Transport

Total Littoral Transport in the entire Breaker Zone is the transport of non-cohesive sediments in the littoral zone along shoreline mainly due to breaking waves.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Total Littoral Transport

Deepwater Wave Celerity

Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.

Symbol: C_o

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Deepwater Wave Celerity

Refraction Coefficient

Refraction Coefficient when waves approach a plane base travelling from deep water into shallow water.

Symbol: K_r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Refraction Coefficient

Angle of Wave Incidence

Angle of Wave Incidence is the angle between the wave propagation direction and the normal to the coastline or the angle between the wavefront and the coastline.

Symbol: φ_br

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Wave Incidence

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Deepwater Wave Height

Go Deepwater Wave Height for Total Transport

H d = \sqrt{\frac{S'}{1.65 \cdot 10^{6}}}

Other formulas in Sediment Transport along Coasts category

Go Total Littoral Transport in Entire Breaker Zone in CERC Formula

S = 0.014 \cdot {H d}^{2} \cdot C o \cdot {K r}^{2} \cdot \sin (φ br) \cdot \cos (φ br)

Go Wave Speed in Deepwater for Total Littoral Transport in Entire Breaker Zone in CERC Formula

C o = (\frac{S}{0.014 \cdot {H d}^{2} \cdot {K r}^{2} \cdot \sin (φ br) \cdot \cos (φ br)})

Go Wave Height in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year

H o = \sqrt{\frac{S'}{(0.44 \cdot 10^{6}) \cdot C o \cdot {K r}^{2} \cdot \sin (φ br) \cdot \cos (φ br)}}

Go Wave Speed in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year

C o = \frac{S'}{(0.44 \cdot 10^{6}) \cdot {H o}^{2} \cdot {K r}^{2} \cdot \sin (φ br) \cdot \cos (φ br)}

How to Evaluate Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula?

Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula evaluator uses Deepwater Wave Height = sqrt(Total Littoral Transport/(0.014*Deepwater Wave Celerity*Refraction Coefficient^2*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence))) to evaluate the Deepwater Wave Height, The Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula is defined as the result of the total littoral transport across the entire breaker zone, encompassing the movement of sediment along the shoreline in wave action. Deepwater Wave Height is denoted by H_d symbol.

How to evaluate Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula using this online evaluator? To use this online evaluator for Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula, enter Total Littoral Transport (S), Deepwater Wave Celerity (C_o), Refraction Coefficient (K_r) & Angle of Wave Incidence (φ_br) and hit the calculate button.

FAQs on Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula

What is the formula to find Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula?

The formula of Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula is expressed as Deepwater Wave Height = sqrt(Total Littoral Transport/(0.014*Deepwater Wave Celerity*Refraction Coefficient^2*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence))). Here is an example- 6 = sqrt(0.00386/(0.014*4.5*0.1^2*sin(0.785398163397301)*cos(0.785398163397301))).

How to calculate Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula?

With Total Littoral Transport (S), Deepwater Wave Celerity (C_o), Refraction Coefficient (K_r) & Angle of Wave Incidence (φ_br) we can find Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula using the formula - Deepwater Wave Height = sqrt(Total Littoral Transport/(0.014*Deepwater Wave Celerity*Refraction Coefficient^2*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence))). This formula also uses Sine (sin)Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Deepwater Wave Height?

Here are the different ways to Calculate Deepwater Wave Height-

Deepwater Wave Height=sqrt(Total Littoral Transport in cubic meter per year/(1.65*10^6))

Can the Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula be negative?

No, the Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula, measured in Length cannot be negative.

Which unit is used to measure Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula?

Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula can be measured.

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Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula Formula

​GoDeepwater Wave Height for Total Transport Formula

Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula Example

Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula Solution

Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula Formula Elements

Other Formulas to find Deepwater Wave Height

Other formulas in Sediment Transport along Coasts category

How to Evaluate Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula?

FAQs on Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula

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GoDeepwater Wave Height for Total Transport Formula