Maximum Horizontal Velocity at Node Calculator

✖Standing Wave Height of Ocean results when two equal waves are going in opposite direction.ⓘ Standing Wave Height of Ocean [H_w]			+10% -10%
✖Depth of Water is the depth as measured from the water level to the bottom of the considered water body.ⓘ Depth of Water [D]			+10% -10%

✖Maximum Horizontal Velocity at a Node refers to the highest velocity component in the horizontal direction at that particular node in a fluid flow simulation.ⓘ Maximum Horizontal Velocity at Node [V_max]

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Formula

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Maximum Horizontal Velocity at Node

Formula

`"V"_{"max"} = ("H"_{"w"}/2)*sqrt("[g]"/"D")`

Example

`"554.5413m/h"=("1.01m"/2)*sqrt("[g]"/"105.4m")`

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Maximum Horizontal Velocity at Node Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Horizontal Velocity at a Node = (Standing Wave Height of Ocean/2)*sqrt([g]/Depth of Water)
V_max = (H_w/2)*sqrt([g]/D)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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 Velocity at a Node - (Measured in Meter per Second) - Maximum Horizontal Velocity at a Node refers to the highest velocity component in the horizontal direction at that particular node in a fluid flow simulation.
Standing Wave Height of Ocean - (Measured in Meter) - Standing Wave Height of Ocean results when two equal waves are going in opposite direction.
Depth of Water - (Measured in Meter) - Depth of Water is the depth as measured from the water level to the bottom of the considered water body.

STEP 1: Convert Input(s) to Base Unit

Standing Wave Height of Ocean: 1.01 Meter --> 1.01 Meter No Conversion Required
Depth of Water: 105.4 Meter --> 105.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_max = (H_w/2)*sqrt([g]/D) --> (1.01/2)*sqrt([g]/105.4)

Evaluating ... ...

V_max = 0.154039255336213

STEP 3: Convert Result to Output's Unit

0.154039255336213 Meter per Second -->554.541319210368 Meter per Hour (Check conversion here)

FINAL ANSWER

554.541319210368 ≈ 554.5413 Meter per Hour <-- Maximum Horizontal Velocity at a Node

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Harbor Oscillations » Maximum Horizontal Velocity at Node

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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

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< 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+Additional Length of the Channel)*Surface Area of Bay/([g]*Channel Cross Sectional Area))

Channel Cross-sectional Area given Resonant Period for Helmholtz mode

Go Channel Cross-sectional Area = (Channel Length+Additional Length of the Channel)*Surface Area of Bay/([g]*(Resonant Period for Helmholtz Mode/2*pi)^2)

Basin Surface Area given Resonant Period for Helmholtz mode

Go Surface Area of Bay = ([g]*Channel Cross-sectional Area*(Resonant Period for Helmholtz Mode/2*pi)^2/(Channel Length+Additional Length of the Channel))

Additional Length accounting for Mass Outside each End of Channel

Go Additional Length of the Channel = ([g]*Channel Cross-sectional Area*(Resonant Period for Helmholtz Mode/2*pi)^2/Surface Area of Bay)-Channel Length

Channel Length for Resonant Period for Helmholtz Mode

Go Channel Length = ([g]*Channel Cross-sectional Area*(Resonant Period for Helmholtz Mode/2*pi)^2/Surface Area of Bay)-Additional Length of the Channel

Standing Wave Height given Maximum Horizontal Particle Excursion at Node

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

Maximum Horizontal Particle Excursion at Node

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

Basin Length along Axis in Open Basin

Go Length of Basin = (Natural Free Oscillating Period of a Basin*(1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))/4

Standing Wave Height for Average Horizontal Velocity at Node

Go Standing Wave Height = (Average Horizontal Velocity at a Node*pi*Water Depth*Natural Free Oscillating Period of a Basin)/Wavelength

Water Depth given Average Horizontal Velocity at Node

Go Water Depth = (Standing Wave Height*Wavelength)/Average Horizontal Velocity at a Node*pi*Natural Free Oscillating Period of a Basin

Wave Length for Average Horizontal Velocity at Node

Go Wavelength = (Average Horizontal Velocity at a Node*pi*Water Depth*Natural Free Oscillating Period of a Basin)/Standing Wave Height

Average Horizontal Velocity at Node

Go Average Horizontal Velocity at a Node = (Standing Wave Height*Wavelength)/pi*Water Depth*Natural Free Oscillating Period of a Basin

Water Depth given Maximum Horizontal Particle Excursion at Node

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

Maximum Horizontal Velocity at Node

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

Period for Fundamental Mode

Go Natural Free Oscillating Period of a Basin = (4*Length of Basin)/sqrt([g]*Water Depth)

Basin Length along Axis for given Period of Fundamental Mode

Go Length of Basin = Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)/4

Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode

Go Length of Basin = Maximum Oscillation Period*sqrt([g]*Water Depth)/2

Maximum Oscillation Period corresponding to Fundamental Mode

Go Maximum Oscillation Period = 2*Length of Basin/sqrt([g]*Water Depth)

Water Depth for given Period for Fundamental Mode

Go Water Depth = ((4*Length of Basin/Natural Free Oscillating Period of a Basin)^2)/[g]

Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

Go Water Depth = (2*Length of Basin/Natural Free Oscillating Period of a Basin)^2/[g]

< 8 Important Formulas of Harbor Hydrodynamics Calculators

Resonant Period for Helmholtz Mode

Go Resonant Period for Helmholtz Mode = (2*pi)*sqrt((Channel Length+Additional Length of the Channel)*Surface Area of Bay/([g]*Channel Cross Sectional Area))

Natural Free Oscillation Period for Open Basin

Go Natural Free Oscillating Period of a Basin = 4*Harbour Basin Length/((1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))

Basin Length along Axis in Open Basin

Go Length of Basin = (Natural Free Oscillating Period of a Basin*(1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))/4

Natural Free Oscillation Period for Closed Basins

Go Natural Free Oscillating Period of a Basin = (2*Harbour Basin Length)/(Number of Nodes along the Axis of a Basin*sqrt([g]*Depth of Water))

Standing Wave Height given Maximum Horizontal Velocity at Node

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

Maximum Horizontal Velocity at Node

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

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

Vessel Speed given Froude Number

Go Vessel Speed = Froude Number*sqrt([g]*Depth of Water)

Maximum Horizontal Velocity at Node Formula

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

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.

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.

How to Calculate Maximum Horizontal Velocity at Node?

Maximum Horizontal Velocity at Node calculator uses Maximum Horizontal Velocity at a Node = (Standing Wave Height of Ocean/2)*sqrt([g]/Depth of Water) to calculate the Maximum Horizontal Velocity at a Node, The Maximum Horizontal Velocity at Node is defined as the highest velocity component in the horizontal direction at that particular node in a fluid flow simulation. Maximum Horizontal Velocity at a Node is denoted by V_max symbol.

How to calculate Maximum Horizontal Velocity at Node using this online calculator? To use this online calculator for Maximum Horizontal Velocity at Node, enter Standing Wave Height of Ocean (H_w) & Depth of Water (D) and hit the calculate button. Here is how the Maximum Horizontal Velocity at Node calculation can be explained with given input values -> 2E+6 = (1.01/2)*sqrt([g]/105.4).

FAQ

What is Maximum Horizontal Velocity at Node?

The Maximum Horizontal Velocity at Node is defined as the highest velocity component in the horizontal direction at that particular node in a fluid flow simulation and is represented as V_max = (H_w/2)*sqrt([g]/D) or Maximum Horizontal Velocity at a Node = (Standing Wave Height of Ocean/2)*sqrt([g]/Depth of Water). Standing Wave Height of Ocean results when two equal waves are going in opposite direction & Depth of Water is the depth as measured from the water level to the bottom of the considered water body.

How to calculate Maximum Horizontal Velocity at Node?

The Maximum Horizontal Velocity at Node is defined as the highest velocity component in the horizontal direction at that particular node in a fluid flow simulation is calculated using Maximum Horizontal Velocity at a Node = (Standing Wave Height of Ocean/2)*sqrt([g]/Depth of Water). To calculate Maximum Horizontal Velocity at Node, you need Standing Wave Height of Ocean (H_w) & Depth of Water (D). With our tool, you need to enter the respective value for Standing Wave Height of Ocean & Depth of Water 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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