Wave Length for Average Horizontal Velocity at Node Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wavelength = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wave Height
λ = (V'*pi*d*Tn)/Hwave
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
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.
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
Wave Height: 30 Meter --> 30 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λ = (V'*pi*d*Tn)/Hwave --> (49.7*pi*1.05*5.5)/30
Evaluating ... ...
λ = 30.056402315057
STEP 3: Convert Result to Output's Unit
30.056402315057 Meter --> No Conversion Required
FINAL ANSWER
30.056402315057 30.0564 Meter <-- Wavelength
(Calculation completed in 00.008 seconds)

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Coorg Institute of Technology (CIT), Coorg
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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]

Wave Length for Average Horizontal Velocity at Node Formula

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

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 Wave Length for Average Horizontal Velocity at Node?

Wave Length for Average Horizontal Velocity at Node calculator uses Wavelength = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wave Height to calculate the Wavelength, The Wave Length for Average Horizontal Velocity at Node formula is defined as the distance between two identical points on successive waves, for example crest to crest, or trough to trough. Wavelength is denoted by λ symbol.

How to calculate Wave Length for Average Horizontal Velocity at Node using this online calculator? To use this online calculator for Wave Length 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 (Tn) & Wave Height (Hwave) and hit the calculate button. Here is how the Wave Length for Average Horizontal Velocity at Node calculation can be explained with given input values -> 30.0564 = (49.7*pi*1.05*5.5)/30.

FAQ

What is Wave Length for Average Horizontal Velocity at Node?
The Wave Length for Average Horizontal Velocity at Node formula is defined as the distance between two identical points on successive waves, for example crest to crest, or trough to trough and is represented as λ = (V'*pi*d*Tn)/Hwave or Wavelength = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wave Height. 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 & 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.
How to calculate Wave Length for Average Horizontal Velocity at Node?
The Wave Length for Average Horizontal Velocity at Node formula is defined as the distance between two identical points on successive waves, for example crest to crest, or trough to trough is calculated using Wavelength = (Average Horizontal Velocity at a Node*pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin)/Wave Height. To calculate Wave Length 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 (Tn) & Wave Height (Hwave). 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 & Wave Height 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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