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Basin Length along Axis for given Period of Fundamental Mode Calculator

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

✖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 Oscillating Period of a Basin [T_n]			+10% -10%
✖Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.ⓘ Water Depth at Harbor [d]			+10% -10%

✖Length of Basin along Axis refers to the distance from one end of the basin to the other, typically measured along the longest axis.ⓘ Basin Length along Axis for given Period of Fundamental Mode [L_ba]

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Formula

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Basin Length along Axis for given Period of Fundamental Mode

Formula

L ba = T n \cdot \frac{\sqrt{[g] \cdot d}}{4}

Example

4.412225 m = 5.50 s \cdot \frac{\sqrt{[g] \cdot 1.05 m}}{4}

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Basin Length along Axis for given Period of Fundamental Mode Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Basin along Axis = Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth at Harbor)/4
L_ba = T_n*sqrt([g]*d)/4
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 along Axis - (Measured in Meter) - Length of Basin along Axis refers to the distance from one end of the basin to the other, typically measured along the longest axis.
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.
Water Depth at Harbor - (Measured in Meter) - Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.

STEP 1: Convert Input(s) to Base Unit

Natural Free Oscillating Period of a Basin: 5.5 Second --> 5.5 Second No Conversion Required
Water Depth at Harbor: 1.05 Meter --> 1.05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_ba = T_n*sqrt([g]*d)/4 --> 5.5*sqrt([g]*1.05)/4

Evaluating ... ...

L_ba = 4.41222534998639

STEP 3: Convert Result to Output's Unit

4.41222534998639 Meter --> No Conversion Required

FINAL ANSWER

4.41222534998639 ≈ 4.412225 Meter <-- Length of Basin along Axis

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Harbor Oscillations » Basin Length along Axis for given Period of Fundamental Mode

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< Harbor Oscillations Calculators

Period for Fundamental Mode

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

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

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

Maximum Oscillation Period corresponding to Fundamental Mode

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

Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

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

Basin Length along Axis for given Period of Fundamental Mode Formula

Length of Basin along Axis = Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth at Harbor)/4
L_ba = T_n*sqrt([g]*d)/4

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 Basin Length along Axis for given Period of Fundamental Mode?

Basin Length along Axis for given Period of Fundamental Mode calculator uses Length of Basin along Axis = Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth at Harbor)/4 to calculate the Length of Basin along Axis, The Basin Length along Axis for given Period of Fundamental Mode formula is defined as the maximum distance along the basin to the pouring point influencing the period for the fundamental mode (n = 0). Length of Basin along Axis is denoted by L_ba symbol.

How to calculate Basin Length along Axis for given Period of Fundamental Mode using this online calculator? To use this online calculator for Basin Length along Axis for given Period of Fundamental Mode, enter Natural Free Oscillating Period of a Basin (T_n) & Water Depth at Harbor (d) and hit the calculate button. Here is how the Basin Length along Axis for given Period of Fundamental Mode calculation can be explained with given input values -> 4.412225 = 5.5*sqrt([g]*1.05)/4.

FAQ

What is Basin Length along Axis for given Period of Fundamental Mode?

The Basin Length along Axis for given Period of Fundamental Mode formula is defined as the maximum distance along the basin to the pouring point influencing the period for the fundamental mode (n = 0) and is represented as L_ba = T_n*sqrt([g]*d)/4 or Length of Basin along Axis = Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth at Harbor)/4. 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 & Water Depth at Harbor is the vertical distance from the water surface to the seabed or bottom of the harbor.

How to calculate Basin Length along Axis for given Period of Fundamental Mode?

The Basin Length along Axis for given Period of Fundamental Mode formula is defined as the maximum distance along the basin to the pouring point influencing the period for the fundamental mode (n = 0) is calculated using Length of Basin along Axis = Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth at Harbor)/4. To calculate Basin Length along Axis for given Period of Fundamental Mode, you need Natural Free Oscillating Period of a Basin (T_n) & Water Depth at Harbor (d). With our tool, you need to enter the respective value for Natural Free Oscillating Period of a Basin & Water Depth at Harbor 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 along Axis?

In this formula, Length of Basin along Axis uses Natural Free Oscillating Period of a Basin & Water Depth at Harbor. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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