✖Standing Wave Height of Ocean results when two equal waves are going in opposite direction.ⓘ Standing Wave Height of Ocean [H_w]			+10% -10%
✖Wavelength is the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%
✖Average Horizontal Velocity at a Node refers to the average velocity of the fluid flow in the horizontal direction (typically x-direction or east-west direction) at that particular node.ⓘ Average Horizontal Velocity at a Node [V']			+10% -10%
✖Natural Free Oscillating Period of a Basin referred to as the natural period or resonant period, is the time it takes for a wave to travel from one end of the basin to the other and back again.ⓘ Natural Free Oscillating Period of a Basin [T_n]			+10% -10%

✖Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.ⓘ Water Depth given Average Horizontal Velocity at Node [D]

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Water Depth given Average Horizontal Velocity at Node

Formula

`"D" = ("H"_{"w"}*"λ")/"V'"*pi*"T"_{"n"}`

Example

`"9.410492m"=("1.01m"*"26.8m")/"49.7m/s"*pi*"5.50s"`

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Water Depth given Average Horizontal Velocity at Node Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Depth = (Standing Wave Height of Ocean*Wavelength)/Average Horizontal Velocity at a Node*pi*Natural Free Oscillating Period of a Basin
D = (H_w*λ)/V'*pi*T_n
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Water Depth - (Measured in Meter) - Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.
Standing Wave Height of Ocean - (Measured in Meter) - Standing Wave Height of Ocean results when two equal waves are going in opposite direction.
Wavelength - (Measured in Meter) - Wavelength is the distance between two successive crests or troughs of a wave.
Average Horizontal Velocity at a Node - (Measured in Meter per Second) - Average Horizontal Velocity at a Node refers to the average velocity of the fluid flow in the horizontal direction (typically x-direction or east-west direction) at that particular node.
Natural Free Oscillating Period of a Basin - (Measured in Second) - Natural Free Oscillating Period of a Basin referred to as the natural period or resonant period, is the time it takes for a wave to travel from one end of the basin to the other and back again.

STEP 1: Convert Input(s) to Base Unit

Standing Wave Height of Ocean: 1.01 Meter --> 1.01 Meter No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Average Horizontal Velocity at a Node: 49.7 Meter per Second --> 49.7 Meter per Second No Conversion Required
Natural Free Oscillating Period of a Basin: 5.5 Second --> 5.5 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (H_w*λ)/V'*pi*T_n --> (1.01*26.8)/49.7*pi*5.5

Evaluating ... ...

D = 9.41049224769672

STEP 3: Convert Result to Output's Unit

9.41049224769672 Meter --> No Conversion Required

FINAL ANSWER

9.41049224769672 ≈ 9.410492 Meter <-- Water Depth

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Harbor Oscillations » Water Depth given Average Horizontal Velocity at Node

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< 21 Harbor Oscillations Calculators

Additional Length to Account for Mass Outside Each End of Channel

Go Additional Length of the Channel = (-Channel Width corresponding to Mean Water Depth/pi)*ln(pi*Channel Width corresponding to Mean Water Depth/(sqrt([g]*Channel Depth)*Resonant Period for Helmholtz Mode))

Resonant Period for Helmholtz Mode

Go Resonant Period for Helmholtz Mode = (2*pi)*sqrt((Channel Length (Helmholtz Mode)+Additional Length of the Channel)*Surface Area of Bay/([g]*Cross Sectional Area))

Maximum Horizontal Particle Excursion at Node

Go Maximum Horizontal Particle Excursion = (Standing Wave Height of Ocean*Natural Free Oscillating Period of a Basin/2*pi)*sqrt([g]/Water Depth)

Standing Wave Height given Maximum Horizontal Particle Excursion at Node

Go Wave Height = (2*pi*Maximum Horizontal Particle Excursion)/Natural Free Oscillating Period of a Basin*sqrt([g]/Water Depth at Harbor)

Channel Cross-sectional Area given Resonant Period for Helmholtz Mode

Go Cross Sectional Area = (Channel Length (Helmholtz Mode)+Additional Length of the Channel)*Surface Area/([g]*(Resonant Period/2*pi)^2)

Basin Surface Area given Resonant Period for Helmholtz Mode

Go Surface Area = ([g]*Cross Sectional Area*(Resonant Period/2*pi)^2/(Channel Length (Helmholtz Mode)+Additional Length of the Channel))

Channel Length for Resonant Period for Helmholtz Mode

Go Channel Length (Helmholtz Mode) = ([g]*Cross Sectional Area*(Resonant Period/2*pi)^2/Surface Area)-Additional Length of the Channel

Additional Length

Go Additional Length of the Channel = ([g]*Cross Sectional Area*(Resonant Period/2*pi)^2/Surface Area)-Channel Length (Helmholtz Mode)

Basin Length along Axis in Open Basin

Go Length of Open Basin along Axis = (Natural Free Oscillating Period of a Basin*(1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))/4

Average Horizontal Velocity at Node

Go Average Horizontal Velocity at a Node = (Standing Wave Height of Ocean*Wavelength)/pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin

Water Depth given Average Horizontal Velocity at Node

Go Water Depth = (Standing Wave Height of Ocean*Wavelength)/Average Horizontal Velocity at a Node*pi*Natural Free Oscillating Period of a Basin

Standing Wave Height for Average Horizontal Velocity at Node

Go Wave Height = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wavelength

Wave Length for Average Horizontal Velocity at Node

Go Wavelength = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wave Height

Water Depth given Maximum Horizontal Particle Excursion at Node

Go Water Depth at Harbor = [g]/(2*pi*Maximum Horizontal Particle Excursion/Wave Height*Natural Free Oscillating Period of a Basin)^2

Period for Fundamental Mode

Go Natural Free Oscillating Period of a Basin = (4*Length of Basin along Axis)/sqrt([g]*Water Depth at Harbor)

Basin Length along Axis for given Period of Fundamental Mode

Go Length of Basin along Axis = Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth at Harbor)/4

Maximum Horizontal Velocity at Node

Go Maximum Horizontal Velocity at a Node = (Standing Wave Height of Ocean/2)*sqrt([g]/Depth of Water)

Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode

Go Length of Basin along Axis = Maximum Oscillation Period*sqrt([g]*Water Depth)/2

Maximum Oscillation Period corresponding to Fundamental Mode

Go Maximum Oscillation Period = 2*Length of Basin along Axis/sqrt([g]*Water Depth)

Water Depth for given Period for Fundamental Mode

Go Water Depth at Harbor = ((4*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2)/[g]

Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

Go Water Depth at Harbor = (2*Length of Basin along Axis/Natural Free Oscillating Period of a Basin)^2/[g]

Water Depth given Average Horizontal Velocity at Node Formula

Water Depth = (Standing Wave Height of Ocean*Wavelength)/Average Horizontal Velocity at a Node*pi*Natural Free Oscillating Period of a Basin
D = (H_w*λ)/V'*pi*T_n

What are Closed Basins?

Enclosed basins can experience oscillations due to a variety of causes. Lake oscillations are usually the result of a sudden change, or a series of intermittent-periodic changes, in atmospheric pressure or wind velocity. Oscillations in canals can be initiated by suddenly adding or subtracting large quantities of water. Harbor oscillations are usually initiated by forcing through the entrance; hence, they deviate from a true closed basin. Local seismic activity can also create oscillations in an enclosed basin.

How to Calculate Water Depth given Average Horizontal Velocity at Node?

Water Depth given Average Horizontal Velocity at Node calculator uses Water Depth = (Standing Wave Height of Ocean*Wavelength)/Average Horizontal Velocity at a Node*pi*Natural Free Oscillating Period of a Basin to calculate the Water Depth, The Water Depth given Average Horizontal Velocity at Node formula is defined as depth parameter influencing the natural free oscillation period, The number of nodes in the basin n does not include the node at the entrance. Water Depth is denoted by D symbol.

How to calculate Water Depth given Average Horizontal Velocity at Node using this online calculator? To use this online calculator for Water Depth given Average Horizontal Velocity at Node, enter Standing Wave Height of Ocean (H_w), Wavelength (λ), Average Horizontal Velocity at a Node (V') & Natural Free Oscillating Period of a Basin (T_n) and hit the calculate button. Here is how the Water Depth given Average Horizontal Velocity at Node calculation can be explained with given input values -> 9.410492 = (1.01*26.8)/49.7*pi*5.5.

FAQ

What is Water Depth given Average Horizontal Velocity at Node?

The Water Depth given Average Horizontal Velocity at Node formula is defined as depth parameter influencing the natural free oscillation period, The number of nodes in the basin n does not include the node at the entrance and is represented as D = (H_w*λ)/V'*pi*T_n or Water Depth = (Standing Wave Height of Ocean*Wavelength)/Average Horizontal Velocity at a Node*pi*Natural Free Oscillating Period of a Basin. Standing Wave Height of Ocean results when two equal waves are going in opposite direction, Wavelength is the distance between two successive crests or troughs of a wave, Average Horizontal Velocity at a Node refers to the average velocity of the fluid flow in the horizontal direction (typically x-direction or east-west direction) at that particular node & Natural Free Oscillating Period of a Basin referred to as the natural period or resonant period, is the time it takes for a wave to travel from one end of the basin to the other and back again.

How to calculate Water Depth given Average Horizontal Velocity at Node?

The Water Depth given Average Horizontal Velocity at Node formula is defined as depth parameter influencing the natural free oscillation period, The number of nodes in the basin n does not include the node at the entrance is calculated using Water Depth = (Standing Wave Height of Ocean*Wavelength)/Average Horizontal Velocity at a Node*pi*Natural Free Oscillating Period of a Basin. To calculate Water Depth given Average Horizontal Velocity at Node, you need Standing Wave Height of Ocean (H_w), Wavelength (λ), Average Horizontal Velocity at a Node (V') & Natural Free Oscillating Period of a Basin (T_n). With our tool, you need to enter the respective value for Standing Wave Height of Ocean, Wavelength, Average Horizontal Velocity at a Node & Natural Free Oscillating Period of a Basin 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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