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Maximum Horizontal Particle Excursion 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%
✖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 [D]			+10% -10%

✖Maximum Horizontal Particle Excursion refers to the maximum distance that a particle can travel horizontally from its initial position under the influence of a wave or current.ⓘ Maximum Horizontal Particle Excursion at Node [X]

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Maximum Horizontal Particle Excursion at Node Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Horizontal Particle Excursion = (Standing Wave Height of Ocean*Natural Free Oscillating Period of a Basin/2*pi)*sqrt([g]/Water Depth)
X = (H_w*T_n/2*pi)*sqrt([g]/D)
This formula uses 2 Constants, 1 Functions, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Maximum Horizontal Particle Excursion - (Measured in Meter) - Maximum Horizontal Particle Excursion refers to the maximum distance that a particle can travel horizontally from its initial position under the influence of a wave or current.
Standing Wave Height of Ocean - (Measured in Meter) - Standing Wave Height of Ocean results when two equal waves are going in opposite direction.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Standing Wave Height of Ocean: 1.01 Meter --> 1.01 Meter No Conversion Required
Natural Free Oscillating Period of a Basin: 5.5 Second --> 5.5 Second No Conversion Required
Water Depth: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X = (H_w*T_n/2*pi)*sqrt([g]/D) --> (1.01*5.5/2*pi)*sqrt([g]/12)

Evaluating ... ...

X = 7.88812265680199

STEP 3: Convert Result to Output's Unit

7.88812265680199 Meter --> No Conversion Required

FINAL ANSWER

7.88812265680199 ≈ 7.888123 Meter <-- Maximum Horizontal Particle Excursion

(Calculation completed in 00.004 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]

Maximum Horizontal Particle Excursion at Node Formula

LaTeX Go

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

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.

What are Open Basins?

Open Basins are Exorheic, or open lakes drain into a river, or other body of water that ultimately drains into the ocean.

How to Calculate Maximum Horizontal Particle Excursion at Node?

Maximum Horizontal Particle Excursion at Node calculator uses Maximum Horizontal Particle Excursion = (Standing Wave Height of Ocean*Natural Free Oscillating Period of a Basin/2*pi)*sqrt([g]/Water Depth) to calculate the Maximum Horizontal Particle Excursion, The Maximum Horizontal Particle Excursion at Node formula is defined as the integral dependent on wave characteristics. For shallow water waves, water parcels make elliptical motions, horizontal excursion is independent of depth, while vertical excursion decays linearly with depth and collapses to purely horizontal motion near bottom. Maximum Horizontal Particle Excursion is denoted by X symbol.

How to calculate Maximum Horizontal Particle Excursion at Node using this online calculator? To use this online calculator for Maximum Horizontal Particle Excursion at Node, enter Standing Wave Height of Ocean (H_w), Natural Free Oscillating Period of a Basin (T_n) & Water Depth (D) and hit the calculate button. Here is how the Maximum Horizontal Particle Excursion at Node calculation can be explained with given input values -> 7.888123 = (1.01*5.5/2*pi)*sqrt([g]/12).

FAQ

What is Maximum Horizontal Particle Excursion at Node?

The Maximum Horizontal Particle Excursion at Node formula is defined as the integral dependent on wave characteristics. For shallow water waves, water parcels make elliptical motions, horizontal excursion is independent of depth, while vertical excursion decays linearly with depth and collapses to purely horizontal motion near bottom and is represented as X = (H_w*T_n/2*pi)*sqrt([g]/D) or 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 of Ocean results when two equal waves are going in opposite direction, 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 & Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.

How to calculate Maximum Horizontal Particle Excursion at Node?

The Maximum Horizontal Particle Excursion at Node formula is defined as the integral dependent on wave characteristics. For shallow water waves, water parcels make elliptical motions, horizontal excursion is independent of depth, while vertical excursion decays linearly with depth and collapses to purely horizontal motion near bottom is calculated using Maximum Horizontal Particle Excursion = (Standing Wave Height of Ocean*Natural Free Oscillating Period of a Basin/2*pi)*sqrt([g]/Water Depth). To calculate Maximum Horizontal Particle Excursion at Node, you need Standing Wave Height of Ocean (H_w), Natural Free Oscillating Period of a Basin (T_n) & Water Depth (D). With our tool, you need to enter the respective value for Standing Wave Height of Ocean, Natural Free Oscillating Period of a Basin & Water Depth 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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