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Standing Wave Height for Average Horizontal Velocity at Node Calculator

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✖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%
✖Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.ⓘ Water Depth at Harbor [d]			+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%
✖Wavelength is the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%

✖Wave Height is formed when two equal waves are going in opposite direction and create the usual up/down motion of the water surface, but the waves don't progress.ⓘ Standing Wave Height for Average Horizontal Velocity at Node [H_wave]

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Standing Wave Height for Average Horizontal Velocity at Node Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Wave Height - (Measured in Meter) - Wave Height is formed when two equal waves are going in opposite direction and create the usual up/down motion of the water surface, but the waves don't progress.
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.
Water Depth at Harbor - (Measured in Meter) - Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.
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.
Wavelength - (Measured in Meter) - Wavelength is the distance between two successive crests or troughs of a wave.

STEP 1: Convert Input(s) to Base Unit

Average Horizontal Velocity at a Node: 49.7 Meter per Second --> 49.7 Meter per Second No Conversion Required
Water Depth at Harbor: 1.05 Meter --> 1.05 Meter No Conversion Required
Natural Free Oscillating Period of a Basin: 5.5 Second --> 5.5 Second No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_wave = (V'*pi*d*T_n)/λ --> (49.7*pi*1.05*5.5)/26.8

Evaluating ... ...

H_wave = 33.6452264720787

STEP 3: Convert Result to Output's Unit

33.6452264720787 Meter --> No Conversion Required

FINAL ANSWER

33.6452264720787 ≈ 33.64523 Meter <-- Wave Height

(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]

Standing Wave Height for Average Horizontal Velocity at Node Formula

LaTeX Go

Wave Height = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wavelength
H_wave = (V'*pi*d*T_n)/λ

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 Standing Wave Height for Average Horizontal Velocity at Node?

Standing Wave Height for Average Horizontal Velocity at Node calculator uses Wave Height = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wavelength to calculate the Wave Height, The Standing Wave Height for Average Horizontal Velocity at Node formula is defined as the result of two equal waves traveling in opposite directions. In this case, you get the usual up-and-down motion of the water surface, but the waves do not progress. These standing waves are common in coastal areas where waves reflect off seawalls, ship hulls, or breakwaters. Wave Height is denoted by H_wave symbol.

How to calculate Standing Wave Height for Average Horizontal Velocity at Node using this online calculator? To use this online calculator for Standing Wave Height for Average Horizontal Velocity at Node, enter Average Horizontal Velocity at a Node (V'), Water Depth at Harbor (d), Natural Free Oscillating Period of a Basin (T_n) & Wavelength (λ) and hit the calculate button. Here is how the Standing Wave Height for Average Horizontal Velocity at Node calculation can be explained with given input values -> 33.64523 = (49.7*pi*1.05*5.5)/26.8.

FAQ

What is Standing Wave Height for Average Horizontal Velocity at Node?

The Standing Wave Height for Average Horizontal Velocity at Node formula is defined as the result of two equal waves traveling in opposite directions. In this case, you get the usual up-and-down motion of the water surface, but the waves do not progress. These standing waves are common in coastal areas where waves reflect off seawalls, ship hulls, or breakwaters and is represented as H_wave = (V'*pi*d*T_n)/λ or Wave Height = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wavelength. 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, Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor, 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 & Wavelength is the distance between two successive crests or troughs of a wave.

How to calculate Standing Wave Height for Average Horizontal Velocity at Node?

The Standing Wave Height for Average Horizontal Velocity at Node formula is defined as the result of two equal waves traveling in opposite directions. In this case, you get the usual up-and-down motion of the water surface, but the waves do not progress. These standing waves are common in coastal areas where waves reflect off seawalls, ship hulls, or breakwaters is calculated using Wave Height = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wavelength. To calculate Standing Wave Height for Average Horizontal Velocity at Node, you need Average Horizontal Velocity at a Node (V'), Water Depth at Harbor (d), Natural Free Oscillating Period of a Basin (T_n) & Wavelength (λ). With our tool, you need to enter the respective value for Average Horizontal Velocity at a Node, Water Depth at Harbor, Natural Free Oscillating Period of a Basin & Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Wave Height?

In this formula, Wave Height uses Average Horizontal Velocity at a Node, Water Depth at Harbor, Natural Free Oscillating Period of a Basin & Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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