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Natural Free Oscillation Period for Open Basin Calculator

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Free Oscillation Period Flushing or Circulation Processes and Vessel Interactions Open and Closed Basins

✖Basin Length is the horizontal distance or extent of a water body, such as a bay, estuary, or lagoon. It is an important parameter in the design and analysis of coastal structures.ⓘ Basin Length [L_B]			+10% -10%
✖Number of Nodes along the Axis of a Basin refers to specific points or segments along a central line (axis) of a coastal basin or water body.ⓘ Number of Nodes along the Axis of a Basin [N]			+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_w]			+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 Oscillation Period for Open Basin [T_n]

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Natural Free Oscillation Period for Open Basin Solution

STEP 0: Pre-Calculation Summary

Formula Used

Natural Free Oscillating Period of a Basin = 4*Basin Length/((1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))
T_n = 4*L_B/((1+(2*N))*sqrt([g]*D_w))
This formula uses 1 Constants, 1 Functions, 4 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

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.
Basin Length - (Measured in Meter) - Basin Length is the horizontal distance or extent of a water body, such as a bay, estuary, or lagoon. It is an important parameter in the design and analysis of coastal structures.
Number of Nodes along the Axis of a Basin - Number of Nodes along the Axis of a Basin refers to specific points or segments along a central line (axis) of a coastal basin or water body.
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

Basin Length: 180 Meter --> 180 Meter No Conversion Required
Number of Nodes along the Axis of a Basin: 1.3 --> No Conversion Required
Depth of Water: 105.4 Meter --> 105.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_n = 4*L_B/((1+(2*N))*sqrt([g]*D_w)) --> 4*180/((1+(2*1.3))*sqrt([g]*105.4))

Evaluating ... ...

T_n = 6.22084459807459

STEP 3: Convert Result to Output's Unit

6.22084459807459 Second --> No Conversion Required

FINAL ANSWER

6.22084459807459 ≈ 6.220845 Second <-- Natural Free Oscillating Period of a Basin

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Harbor Oscillations » Free Oscillation Period » Natural Free Oscillation Period for Open Basin

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< Free Oscillation Period Calculators

Natural Free Oscillation Period

LaTeX Go Natural Free Oscillating Period of a Basin = (2/sqrt([g]*Water Depth at Harbor))*((Number of Nodes along the X-axis of Basin/Basin Dimensions along the X-axis)^2+(Number of Nodes along the Y-axis of Basin/Basin Dimensions along the Y-axis)^2)^-0.5

Natural Free Oscillation period given Maximum Horizontal Particle Excursion at Node

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

Natural Free Oscillation Period for Average Horizontal Velocity at Node

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

Water Depth given Natural Free Oscillation Period

LaTeX Go Water Depth = (((2*Harbor Basin Length)/(Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis 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

Natural Free Oscillation Period for Open Basin Formula

LaTeX Go

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

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 Natural Free Oscillation Period for Open Basin?

Natural Free Oscillation Period for Open Basin calculator uses Natural Free Oscillating Period of a Basin = 4*Basin Length/((1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water)) to calculate the Natural Free Oscillating Period of a Basin, The Natural Free Oscillation Period for Open Basin formula is defined as the time it takes for water in a large, open body, like a bay or harbor, to complete one full cycle of standing wave motion (oscillation) when disturbed. Natural Free Oscillating Period of a Basin is denoted by T_n symbol.

How to calculate Natural Free Oscillation Period for Open Basin using this online calculator? To use this online calculator for Natural Free Oscillation Period for Open Basin, enter Basin Length (L_B), Number of Nodes along the Axis of a Basin (N) & Depth of Water (D_w) and hit the calculate button. Here is how the Natural Free Oscillation Period for Open Basin calculation can be explained with given input values -> 4.479008 = 4*180/((1+(2*1.3))*sqrt([g]*105.4)).

FAQ

What is Natural Free Oscillation Period for Open Basin?

The Natural Free Oscillation Period for Open Basin formula is defined as the time it takes for water in a large, open body, like a bay or harbor, to complete one full cycle of standing wave motion (oscillation) when disturbed and is represented as T_n = 4*L_B/((1+(2*N))*sqrt([g]*D_w)) or Natural Free Oscillating Period of a Basin = 4*Basin Length/((1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water)). Basin Length is the horizontal distance or extent of a water body, such as a bay, estuary, or lagoon. It is an important parameter in the design and analysis of coastal structures, Number of Nodes along the Axis of a Basin refers to specific points or segments along a central line (axis) of a coastal basin or water body & Depth of Water is the depth as measured from the water level to the bottom of the considered water body.

How to calculate Natural Free Oscillation Period for Open Basin?

The Natural Free Oscillation Period for Open Basin formula is defined as the time it takes for water in a large, open body, like a bay or harbor, to complete one full cycle of standing wave motion (oscillation) when disturbed is calculated using Natural Free Oscillating Period of a Basin = 4*Basin Length/((1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water)). To calculate Natural Free Oscillation Period for Open Basin, you need Basin Length (L_B), Number of Nodes along the Axis of a Basin (N) & Depth of Water (D_w). With our tool, you need to enter the respective value for Basin Length, Number of Nodes along the Axis of a Basin & Depth of Water 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 Natural Free Oscillating Period of a Basin?

In this formula, Natural Free Oscillating Period of a Basin uses Basin Length, Number of Nodes along the Axis of a Basin & Depth of Water. We can use 3 other way(s) to calculate the same, which is/are as follows -

Natural Free Oscillating Period of a Basin = (2/sqrt([g]*Water Depth at Harbor))*((Number of Nodes along the X-axis of Basin/Basin Dimensions along the X-axis)^2+(Number of Nodes along the Y-axis of Basin/Basin Dimensions along the Y-axis)^2)^-0.5
Natural Free Oscillating Period of a Basin = (2*pi*Maximum Horizontal Particle Excursion)/(Wave Height*sqrt([g]/Depth of Water))
Natural Free Oscillating Period of a Basin = (Wave Height*Wavelength)/(Average Horizontal Velocity at a Node*pi*Water Depth at Harbor)

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