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Water Depth given Average Horizontal Velocity at Node Calculator

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✖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 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 00.020 seconds)

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< Harbor Oscillations Calculators

Period for Fundamental Mode

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

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

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

Maximum Oscillation Period corresponding to Fundamental Mode

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

Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

LaTeX 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

LaTeX Go

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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