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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%
✖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%

✖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 Node [V']

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Average Horizontal Velocity at Node Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

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
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V' = (H_w*λ)/pi*d*T_n --> (1.01*26.8)/pi*1.05*5.5

Evaluating ... ...

V' = 49.7574692955119

STEP 3: Convert Result to Output's Unit

49.7574692955119 Meter per Second --> No Conversion Required

FINAL ANSWER

49.7574692955119 ≈ 49.75747 Meter per Second <-- Average Horizontal Velocity at a Node

(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]

< Important Formulas of Harbor Oscillation Calculators

Resonant Period for Helmholtz Mode

LaTeX 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))

Standing Wave Height given Maximum Horizontal Velocity at Node

LaTeX Go Standing Wave Height of Ocean = (Maximum Horizontal Velocity at a Node/sqrt([g]/Depth of Water))*2

Maximum Horizontal Velocity at Node

LaTeX Go Maximum Horizontal Velocity at a Node = (Standing Wave Height of Ocean/2)*sqrt([g]/Depth of Water)

Water Depth given Maximum Horizontal Velocity at Node

LaTeX Go Depth of Water = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height of Ocean/2))^2

Average Horizontal Velocity at Node Formula

LaTeX 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
V' = (H_w*λ)/pi*d*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.

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 Average Horizontal Velocity at Node?

Average Horizontal Velocity at Node calculator uses Average Horizontal Velocity at a Node = (Standing Wave Height of Ocean*Wavelength)/pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin to calculate the Average Horizontal Velocity at a Node, The Average Horizontal Velocity at Node formula is defined as 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 is denoted by V' symbol.

How to calculate Average Horizontal Velocity at Node using this online calculator? To use this online calculator for Average Horizontal Velocity at Node, enter Standing Wave Height of Ocean (H_w), Wavelength (λ), Water Depth at Harbor (d) & Natural Free Oscillating Period of a Basin (T_n) and hit the calculate button. Here is how the Average Horizontal Velocity at Node calculation can be explained with given input values -> 49.75747 = (1.01*26.8)/pi*1.05*5.5.

FAQ

What is Average Horizontal Velocity at Node?

The Average Horizontal Velocity at Node formula is defined as the average velocity of the fluid flow in the horizontal direction (typically x-direction or east-west direction) at that particular node and is represented as V' = (H_w*λ)/pi*d*T_n or Average Horizontal Velocity at a Node = (Standing Wave Height of Ocean*Wavelength)/pi*Water Depth at Harbor*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, 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.

How to calculate Average Horizontal Velocity at Node?

The Average Horizontal Velocity at Node formula is defined as the average velocity of the fluid flow in the horizontal direction (typically x-direction or east-west direction) at that particular node is calculated using Average Horizontal Velocity at a Node = (Standing Wave Height of Ocean*Wavelength)/pi*Water Depth at Harbor*Natural Free Oscillating Period of a Basin. To calculate Average Horizontal Velocity at Node, you need Standing Wave Height of Ocean (H_w), Wavelength (λ), Water Depth at Harbor (d) & 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, Water Depth at Harbor & 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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