Average Horizontal Velocity at Node Calculator

✖Standing Wave Height result when two equal waves are going in opposite direction and in this case you get the usual up/down motion of the water surface but the waves don't progress [length].ⓘ Standing Wave Height [H]			+10% -10%
✖Wavelength can be defined as the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%
✖Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth [d]			+10% -10%
✖Natural Free Oscillating Period of a Basin have a period equal to the natural resonant period of the basin which is determined by the basin's geometry and depth.ⓘ Natural Free Oscillating Period of a Basin [T_n]			+10% -10%

✖Average Horizontal Velocity at a Node [length/time] uses the standing wave height, wavelength, water depth and natural free oscillating period of the basin.ⓘ Average Horizontal Velocity at Node [V']

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Formula

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Average Horizontal Velocity at Node

Formula

`"V'" = ("H"*"λ")/pi*"d"*"T"_{"n"}`

Example

`"246.3241m/s"=("5m"*"26.8m")/pi*"1.05m"*"5.5s"`

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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*Wavelength)/pi*Water Depth*Natural Free Oscillating Period of a Basin
V' = (H*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 [length/time] uses the standing wave height, wavelength, water depth and natural free oscillating period of the basin.
Standing Wave Height - (Measured in Meter) - Standing Wave Height result when two equal waves are going in opposite direction and in this case you get the usual up/down motion of the water surface but the waves don't progress [length].
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
Water Depth - (Measured in Meter) - Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.
Natural Free Oscillating Period of a Basin - (Measured in Second) - Natural Free Oscillating Period of a Basin have a period equal to the natural resonant period of the basin which is determined by the basin's geometry and depth.

STEP 1: Convert Input(s) to Base Unit

Standing Wave Height: 5 Meter --> 5 Meter No Conversion Required
Wavelength: 26.8 Meter --> 26.8 Meter No Conversion Required
Water Depth: 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*λ)/pi*d*T_n --> (5*26.8)/pi*1.05*5.5

Evaluating ... ...

V' = 246.324105423326

STEP 3: Convert Result to Output's Unit

246.324105423326 Meter per Second --> No Conversion Required

FINAL ANSWER

246.324105423326 ≈ 246.3241 Meter per Second <-- Average Horizontal Velocity at a Node

(Calculation completed in 00.004 seconds)

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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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< 22 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)

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

Standing Wave Height given Maximum Horizontal Velocity at Node

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

Maximum Horizontal Velocity at Node

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

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 given Maximum Horizontal Velocity at Node

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

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]

Average Horizontal Velocity at Node Formula

Average Horizontal Velocity at a Node = (Standing Wave Height*Wavelength)/pi*Water Depth*Natural Free Oscillating Period of a Basin
V' = (H*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*Wavelength)/pi*Water Depth*Natural Free Oscillating Period of a Basin to calculate the Average Horizontal Velocity at a Node, The Average Horizontal Velocity at node is defined as the average of a motion problem deals with motion in the x direction; that is, side to side, not up and down at the node under consideration. 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 (H), Wavelength (λ), Water Depth (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 -> 234.5944 = (5*26.8)/pi*1.05*5.5.

FAQ

What is Average Horizontal Velocity at Node?

The Average Horizontal Velocity at node is defined as the average of a motion problem deals with motion in the x direction; that is, side to side, not up and down at the node under consideration and is represented as V' = (H*λ)/pi*d*T_n or Average Horizontal Velocity at a Node = (Standing Wave Height*Wavelength)/pi*Water Depth*Natural Free Oscillating Period of a Basin. Standing Wave Height result when two equal waves are going in opposite direction and in this case you get the usual up/down motion of the water surface but the waves don't progress [length], Wavelength can be defined as the distance between two successive crests or troughs of a wave, Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body & Natural Free Oscillating Period of a Basin have a period equal to the natural resonant period of the basin which is determined by the basin's geometry and depth.

How to calculate Average Horizontal Velocity at Node?

The Average Horizontal Velocity at node is defined as the average of a motion problem deals with motion in the x direction; that is, side to side, not up and down at the node under consideration is calculated using Average Horizontal Velocity at a Node = (Standing Wave Height*Wavelength)/pi*Water Depth*Natural Free Oscillating Period of a Basin. To calculate Average Horizontal Velocity at Node, you need Standing Wave Height (H), Wavelength (λ), Water Depth (d) & Natural Free Oscillating Period of a Basin (T_n). With our tool, you need to enter the respective value for Standing Wave Height, Wavelength, Water Depth & 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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