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

✖Maximum Oscillation Period corresponding to the Fundamental Mode.ⓘ Maximum Oscillation Period [T₁]			+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%

✖Length of Basin or length of the drainage basin in kilometres.ⓘ Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode [L_b]

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Formula

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

Formula

`"L"_{"b"} = "T"_{"1"}*sqrt("[g]"*"d")/2`

Example

`"4813.337m"="50min"*sqrt("[g]"*"1.05m")/2`

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Basin = Maximum Oscillation Period*sqrt([g]*Water Depth)/2
L_b = T₁*sqrt([g]*d)/2
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

Length of Basin - (Measured in Meter) - Length of Basin or length of the drainage basin in kilometres.
Maximum Oscillation Period - (Measured in Second) - Maximum Oscillation Period corresponding to the Fundamental Mode.
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.

STEP 1: Convert Input(s) to Base Unit

Maximum Oscillation Period: 50 Minute --> 3000 Second (Check conversion here)
Water Depth: 1.05 Meter --> 1.05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_b = T₁*sqrt([g]*d)/2 --> 3000*sqrt([g]*1.05)/2

Evaluating ... ...

L_b = 4813.3367454397

STEP 3: Convert Result to Output's Unit

4813.3367454397 Meter --> No Conversion Required

FINAL ANSWER

4813.3367454397 ≈ 4813.337 Meter <-- Length of Basin

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Harbor Oscillations » Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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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]

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

Length of Basin = Maximum Oscillation Period*sqrt([g]*Water Depth)/2
L_b = T₁*sqrt([g]*d)/2

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

Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode calculator uses Length of Basin = Maximum Oscillation Period*sqrt([g]*Water Depth)/2 to calculate the Length of Basin, The Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode is defined as a parameter influencing the The maximum oscillation period T1 corresponding to the fundamental mode is given by setting n = 1. Length of Basin is denoted by L_b symbol.

How to calculate Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode using this online calculator? To use this online calculator for Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode, enter Maximum Oscillation Period (T₁) & Water Depth (d) and hit the calculate button. Here is how the Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode calculation can be explained with given input values -> 4697.336 = 3000*sqrt([g]*1.05)/2.

FAQ

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

The Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode is defined as a parameter influencing the The maximum oscillation period T1 corresponding to the fundamental mode is given by setting n = 1 and is represented as L_b = T₁*sqrt([g]*d)/2 or Length of Basin = Maximum Oscillation Period*sqrt([g]*Water Depth)/2. Maximum Oscillation Period corresponding to the Fundamental Mode & Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

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

The Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode is defined as a parameter influencing the The maximum oscillation period T1 corresponding to the fundamental mode is given by setting n = 1 is calculated using Length of Basin = Maximum Oscillation Period*sqrt([g]*Water Depth)/2. To calculate Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode, you need Maximum Oscillation Period (T₁) & Water Depth (d). With our tool, you need to enter the respective value for Maximum Oscillation Period & Water Depth 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 Length of Basin?

In this formula, Length of Basin uses Maximum Oscillation Period & Water Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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