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Wave Height of Unbroken Wave in Water of Finite Depth Formula

GoWave Height given Celerity of Solitary Wave Formula

GoWave Height for Total Wave Energy per Unit Crest Width of Solitary Wave Formula

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Height of the Wave is the difference between the elevations of a crest and a neighboring trough. Check FAQs

H w = D w \cdot (\frac{(0.141063 \cdot (\frac{L}{D w})) + (0.0095721 \cdot {(\frac{L}{D w})}^{2}) + (0.0077829 \cdot {(\frac{L}{D w})}^{3})}{1 + (0.078834 \cdot (\frac{L}{D w})) + (0.0317567 \cdot {(\frac{L}{D w})}^{2}) + (0.0093407 \cdot {(\frac{L}{D w})}^{3})}) \cdot a s

H_w - Height of the Wave?D_w - Water Depth from Bed?L - Length of Water Wave?a_s - Solitary Wave Amplitude?

Wave Height of Unbroken Wave in Water of Finite Depth Example

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Here is how the Wave Height of Unbroken Wave in Water of Finite Depth equation looks like with Values.

Here is how the Wave Height of Unbroken Wave in Water of Finite Depth equation looks like with Units.

Here is how the Wave Height of Unbroken Wave in Water of Finite Depth equation looks like.

14.0103 = 45 \cdot (\frac{(0.141063 \cdot (\frac{90}{45})) + (0.0095721 \cdot {(\frac{90}{45})}^{2}) + (0.0077829 \cdot {(\frac{90}{45})}^{3})}{1 + (0.078834 \cdot (\frac{90}{45})) + (0.0317567 \cdot {(\frac{90}{45})}^{2}) + (0.0093407 \cdot {(\frac{90}{45})}^{3})}) \cdot 1.106

14.0103m = 45m \cdot (\frac{(0.141063 \cdot (\frac{90m}{45m})) + (0.0095721 \cdot {(\frac{90m}{45m})}^{2}) + (0.0077829 \cdot {(\frac{90m}{45m})}^{3})}{1 + (0.078834 \cdot (\frac{90m}{45m})) + (0.0317567 \cdot {(\frac{90m}{45m})}^{2}) + (0.0093407 \cdot {(\frac{90m}{45m})}^{3})}) \cdot 1.106m

14.0103 = 45 \cdot (\frac{(0.141063 \cdot (\frac{90}{45})) + (0.0095721 \cdot {(\frac{90}{45})}^{2}) + (0.0077829 \cdot {(\frac{90}{45})}^{3})}{1 + (0.078834 \cdot (\frac{90}{45})) + (0.0317567 \cdot {(\frac{90}{45})}^{2}) + (0.0093407 \cdot {(\frac{90}{45})}^{3})}) \cdot 1.106

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Wave Height of Unbroken Wave in Water of Finite Depth Solution

Follow our step by step solution on how to calculate Wave Height of Unbroken Wave in Water of Finite Depth?

FIRST Step Consider the formula

H w = D w \cdot (\frac{(0.141063 \cdot (\frac{L}{D w})) + (0.0095721 \cdot {(\frac{L}{D w})}^{2}) + (0.0077829 \cdot {(\frac{L}{D w})}^{3})}{1 + (0.078834 \cdot (\frac{L}{D w})) + (0.0317567 \cdot {(\frac{L}{D w})}^{2}) + (0.0093407 \cdot {(\frac{L}{D w})}^{3})}) \cdot a s

Next Step Substitute values of Variables

∴

H w = 45m \cdot (\frac{(0.141063 \cdot (\frac{90m}{45m})) + (0.0095721 \cdot {(\frac{90m}{45m})}^{2}) + (0.0077829 \cdot {(\frac{90m}{45m})}^{3})}{1 + (0.078834 \cdot (\frac{90m}{45m})) + (0.0317567 \cdot {(\frac{90m}{45m})}^{2}) + (0.0093407 \cdot {(\frac{90m}{45m})}^{3})}) \cdot 1.106m

Next Step Prepare to Evaluate

∴

H w = 45 \cdot (\frac{(0.141063 \cdot (\frac{90}{45})) + (0.0095721 \cdot {(\frac{90}{45})}^{2}) + (0.0077829 \cdot {(\frac{90}{45})}^{3})}{1 + (0.078834 \cdot (\frac{90}{45})) + (0.0317567 \cdot {(\frac{90}{45})}^{2}) + (0.0093407 \cdot {(\frac{90}{45})}^{3})}) \cdot 1.106

Next Step Evaluate

∴

H w = 14.0102827293161m

LAST Step Rounding Answer

∴

H w = 14.0103m

Wave Height of Unbroken Wave in Water of Finite Depth Formula Elements

Variables

Height of the Wave

Height of the Wave is the difference between the elevations of a crest and a neighboring trough.

Symbol: H_w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height of the Wave

Water Depth from Bed

Water Depth from Bed means the depth as measured from the water level to the bottom of the considered water body.

Symbol: D_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth from Bed

Length of Water Wave

Length of Water Wave is the horizontal distance between corresponding points on two successive waves.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Water Wave

Solitary Wave Amplitude

Solitary Wave Amplitude is a measurement of the vertical distance of the solitary wave from the average.

Symbol: a_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Solitary Wave Amplitude

Other Formulas to find Height of the Wave

Go Wave Height given Celerity of Solitary Wave

H w = (\frac{C^{2}}{[g]}) - D w

Go Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave

H w = {(\frac{E}{(\frac{8}{3 \cdot \sqrt{3}}) \cdot ρ s \cdot [g] \cdot {D w}^{\frac{3}{2}}})}^{\frac{2}{3}}

Go Wave Height given Volume of Water within Wave above Still Water Level

H w = \frac{V^{2}}{(\frac{16}{3}) \cdot {D w}^{3}}

Other formulas in Solitary Wave category

Go Volume of Water above Still Water Level per Unit Crest Width

V = {((\frac{16}{3}) \cdot {D w}^{3} \cdot H w)}^{0.5}

Go Water Depth given Volume of Water within Wave above Still Water Level

D w = {(\frac{{(V)}^{2}}{(\frac{16}{3}) \cdot H w})}^{\frac{1}{3}}

Go Water Surface above Bottom

y s' = D w + H w \cdot {(sech (\sqrt{(\frac{3}{4}) \cdot (\frac{H w}{{D w}^{3}})} \cdot (x - (C \cdot t))))}^{2}

Go Water Depth given Celerity of Solitary Wave

D w = (\frac{C^{2}}{[g]}) - H w

How to Evaluate Wave Height of Unbroken Wave in Water of Finite Depth?

Wave Height of Unbroken Wave in Water of Finite Depth evaluator uses Height of the Wave = Water Depth from Bed*(((0.141063*(Length of Water Wave/Water Depth from Bed))+(0.0095721*(Length of Water Wave/Water Depth from Bed)^2)+(0.0077829*(Length of Water Wave/Water Depth from Bed)^3))/(1+(0.078834*(Length of Water Wave/Water Depth from Bed))+(0.0317567*(Length of Water Wave/Water Depth from Bed)^2)+(0.0093407*(Length of Water Wave/Water Depth from Bed)^3)))*Solitary Wave Amplitude to evaluate the Height of the Wave, The Wave Height of Unbroken Wave in Water of Finite Depth is defined as the vertical distance between the wave crest (the highest point of the wave) and the wave trough (the lowest point of the wave) in conditions where the water depth influences the wave characteristics. Height of the Wave is denoted by H_w symbol.

How to evaluate Wave Height of Unbroken Wave in Water of Finite Depth using this online evaluator? To use this online evaluator for Wave Height of Unbroken Wave in Water of Finite Depth, enter Water Depth from Bed (D_w), Length of Water Wave (L) & Solitary Wave Amplitude (a_s) and hit the calculate button.

FAQs on Wave Height of Unbroken Wave in Water of Finite Depth

What is the formula to find Wave Height of Unbroken Wave in Water of Finite Depth?

The formula of Wave Height of Unbroken Wave in Water of Finite Depth is expressed as Height of the Wave = Water Depth from Bed*(((0.141063*(Length of Water Wave/Water Depth from Bed))+(0.0095721*(Length of Water Wave/Water Depth from Bed)^2)+(0.0077829*(Length of Water Wave/Water Depth from Bed)^3))/(1+(0.078834*(Length of Water Wave/Water Depth from Bed))+(0.0317567*(Length of Water Wave/Water Depth from Bed)^2)+(0.0093407*(Length of Water Wave/Water Depth from Bed)^3)))*Solitary Wave Amplitude. Here is an example- 14.01028 = 45*(((0.141063*(90/45))+(0.0095721*(90/45)^2)+(0.0077829*(90/45)^3))/(1+(0.078834*(90/45))+(0.0317567*(90/45)^2)+(0.0093407*(90/45)^3)))*1.106.

How to calculate Wave Height of Unbroken Wave in Water of Finite Depth?

With Water Depth from Bed (D_w), Length of Water Wave (L) & Solitary Wave Amplitude (a_s) we can find Wave Height of Unbroken Wave in Water of Finite Depth using the formula - Height of the Wave = Water Depth from Bed*(((0.141063*(Length of Water Wave/Water Depth from Bed))+(0.0095721*(Length of Water Wave/Water Depth from Bed)^2)+(0.0077829*(Length of Water Wave/Water Depth from Bed)^3))/(1+(0.078834*(Length of Water Wave/Water Depth from Bed))+(0.0317567*(Length of Water Wave/Water Depth from Bed)^2)+(0.0093407*(Length of Water Wave/Water Depth from Bed)^3)))*Solitary Wave Amplitude.

What are the other ways to Calculate Height of the Wave?

Here are the different ways to Calculate Height of the Wave-

Height of the Wave=(Celerity of the Wave^2/[g])-Water Depth from Bed
Height of the Wave=(Total Wave Energy per Unit Crest Width/((8/(3*sqrt(3)))*Density of Salt Water*[g]*Water Depth from Bed^(3/2)))^(2/3)
Height of the Wave=Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^3)

Can the Wave Height of Unbroken Wave in Water of Finite Depth be negative?

Yes, the Wave Height of Unbroken Wave in Water of Finite Depth, measured in Length can be negative.

Which unit is used to measure Wave Height of Unbroken Wave in Water of Finite Depth?

Wave Height of Unbroken Wave in Water of Finite Depth is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Wave Height of Unbroken Wave in Water of Finite Depth can be measured.

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Wave Height of Unbroken Wave in Water of Finite Depth Formula

​GoWave Height given Celerity of Solitary Wave Formula

​GoWave Height for Total Wave Energy per Unit Crest Width of Solitary Wave Formula

Wave Height of Unbroken Wave in Water of Finite Depth Example

Wave Height of Unbroken Wave in Water of Finite Depth Solution

Wave Height of Unbroken Wave in Water of Finite Depth Formula Elements

Other Formulas to find Height of the Wave

Other formulas in Solitary Wave category

How to Evaluate Wave Height of Unbroken Wave in Water of Finite Depth?

FAQs on Wave Height of Unbroken Wave in Water of Finite Depth

Variable Name

GoWave Height given Celerity of Solitary Wave Formula

GoWave Height for Total Wave Energy per Unit Crest Width of Solitary Wave Formula