✖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]

⎘ Copy

👎

Formula

✖

Standing Wave Height for Average Horizontal Velocity at Node

Formula

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

Example

`"33.64523m"=("49.7m/s"*pi*"1.05m"*"5.50s")/"26.8m"`

Calculator

LaTeX

Reset

👍

Download Surf Zone Hydrodynamics Formula PDF PDF Image

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)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Harbor Oscillations » Standing Wave Height for Average Horizontal Velocity at Node

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 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]

Standing Wave Height for Average Horizontal Velocity at Node Formula

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)

Home

FREE PDFs

🔍 Search