Water Depth given Average Horizontal Velocity at Node Solution

STEP 0: Pre-Calculation Summary
Formula Used
Water Depth = (Standing Wave Height*Wavelength)/Average Horizontal Velocity at a Node*pi*Natural Free Oscillating Period of a Basin
d = (H*λ)/V'*pi*Tn
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Water Depth - (Measured in Meter) - Water Depth of the considered catchment. Water depth means the depth as measured from the water level to the bottom of the considered water body.
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.
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.
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
Average Horizontal Velocity at a Node: 20 Meter per Second --> 20 Meter per Second 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
d = (H*λ)/V'*pi*Tn --> (5*26.8)/20*pi*5.5
Evaluating ... ...
d = 115.767689284784
STEP 3: Convert Result to Output's Unit
115.767689284784 Meter --> No Conversion Required
FINAL ANSWER
115.767689284784 115.7677 Meter <-- Water Depth
(Calculation completed in 00.004 seconds)

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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]

Water Depth given Average Horizontal Velocity at Node Formula

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

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 Water Depth given Average Horizontal Velocity at Node?

Water Depth given Average Horizontal Velocity at Node calculator uses Water Depth = (Standing Wave Height*Wavelength)/Average Horizontal Velocity at a Node*pi*Natural Free Oscillating Period of a Basin to calculate the Water Depth, The Water Depth given Average Horizontal Velocity at Node is defined as depth parameter influencing the natural free oscillation period, The number of nodes in the basin n does not include the node at the entrance. Water Depth is denoted by d symbol.

How to calculate Water Depth given Average Horizontal Velocity at Node using this online calculator? To use this online calculator for Water Depth given Average Horizontal Velocity at Node, enter Standing Wave Height (H), Wavelength (λ), Average Horizontal Velocity at a Node (V') & Natural Free Oscillating Period of a Basin (Tn) and hit the calculate button. Here is how the Water Depth given Average Horizontal Velocity at Node calculation can be explained with given input values -> 115.7677 = (5*26.8)/20*pi*5.5.

FAQ

What is Water Depth given Average Horizontal Velocity at Node?
The Water Depth given Average Horizontal Velocity at Node is defined as depth parameter influencing the natural free oscillation period, The number of nodes in the basin n does not include the node at the entrance and is represented as d = (H*λ)/V'*pi*Tn or Water Depth = (Standing Wave Height*Wavelength)/Average Horizontal Velocity at a Node*pi*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, Average Horizontal Velocity at a Node [length/time] uses the standing wave height, wavelength, water depth and natural free oscillating period of the basin & 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 Water Depth given Average Horizontal Velocity at Node?
The Water Depth given Average Horizontal Velocity at Node is defined as depth parameter influencing the natural free oscillation period, The number of nodes in the basin n does not include the node at the entrance is calculated using Water Depth = (Standing Wave Height*Wavelength)/Average Horizontal Velocity at a Node*pi*Natural Free Oscillating Period of a Basin. To calculate Water Depth given Average Horizontal Velocity at Node, you need Standing Wave Height (H), Wavelength (λ), Average Horizontal Velocity at a Node (V') & Natural Free Oscillating Period of a Basin (Tn). With our tool, you need to enter the respective value for Standing Wave Height, Wavelength, Average Horizontal Velocity at a Node & 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.
How many ways are there to calculate Water Depth?
In this formula, Water Depth uses Standing Wave Height, Wavelength, Average Horizontal Velocity at a Node & Natural Free Oscillating Period of a Basin. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Water Depth = (2*Length of Basin/Natural Free Oscillating Period of a Basin)^2/[g]
  • Water Depth = ((4*Length of Basin/Natural Free Oscillating Period of a Basin)^2)/[g]
  • Water Depth = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height/2))^2
  • Water Depth = [g]/(2*pi*Maximum Horizontal Particle Excursion/Standing Wave Height*Natural Free Oscillating Period of a Basin)^2
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