✖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%
✖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%
✖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 Closed Basin [L_ba]

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Basin Length along Axis for Closed Basin

Formula

`"L"_{"ba"} = "T"_{"n"}*"N"*sqrt("[g]"*"d")/2`

Example

`"11.47179m"="5.50s"*"1.3"*sqrt("[g]"*"1.05m")/2`

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Basin Length along Axis for Closed Basin Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Basin along Axis = Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis of a Basin*sqrt([g]*Water Depth at Harbor)/2
L_ba = T_n*N*sqrt([g]*d)/2
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

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.
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.
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
Number of Nodes along the Axis of a Basin: 1.3 --> 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*N*sqrt([g]*d)/2 --> 5.5*1.3*sqrt([g]*1.05)/2

Evaluating ... ...

L_ba = 11.4717859099646

STEP 3: Convert Result to Output's Unit

11.4717859099646 Meter --> No Conversion Required

FINAL ANSWER

11.4717859099646 ≈ 11.47179 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 » Open and Closed Basins » Basin Length along Axis for Closed Basin

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< 3 Open and Closed Basins Calculators

Basin Length along Axis for Closed Basin

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

Number of Nodes along Long Basin Axis in Open Basin

Go Number of Nodes along the Axis of a Basin = (((4*Harbor Basin Length)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)))-1)/2

Number of Nodes along Long Basin Axis in Closed Basin

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

Basin Length along Axis for Closed Basin Formula

Length of Basin along Axis = Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis of a Basin*sqrt([g]*Water Depth at Harbor)/2
L_ba = T_n*N*sqrt([g]*d)/2

What is Wave Reflection on Structures?

If there is a change in water depth as a wave propagates forward, a portion of the wave’s energy will be reflected. When a wave hits a vertical, impermeable, rigid surface-piercing wall, essentially all of the wave energy will reflect from the wall. On the other hand, when a wave propagates over a small bottom slope, only a very small portion of the energy will be reflected. The degree of wave reflection is defined by the reflection coefficient Cr = Hr/Hi where Hr and Hi are the reflected and incident wave heights, respectively.

How to Calculate Basin Length along Axis for Closed Basin?

Basin Length along Axis for Closed Basin calculator uses Length of Basin along Axis = Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis of a Basin*sqrt([g]*Water Depth at Harbor)/2 to calculate the Length of Basin along Axis, The Basin Length along Axis for Closed Basin formula is defined as the longest distance measured along the principal axis (usually the longest dimension) of a closed basin. A closed basin is a geographical or man-made depression that collects water and does not have a surface outflow to other bodies of water like rivers or oceans. Length of Basin along Axis is denoted by L_ba symbol.

How to calculate Basin Length along Axis for Closed Basin using this online calculator? To use this online calculator for Basin Length along Axis for Closed Basin, enter Natural Free Oscillating Period of a Basin (T_n), Number of Nodes along the Axis of a Basin (N) & Water Depth at Harbor (d) and hit the calculate button. Here is how the Basin Length along Axis for Closed Basin calculation can be explained with given input values -> 11.47179 = 5.5*1.3*sqrt([g]*1.05)/2.

FAQ

What is Basin Length along Axis for Closed Basin?

The Basin Length along Axis for Closed Basin formula is defined as the longest distance measured along the principal axis (usually the longest dimension) of a closed basin. A closed basin is a geographical or man-made depression that collects water and does not have a surface outflow to other bodies of water like rivers or oceans and is represented as L_ba = T_n*N*sqrt([g]*d)/2 or Length of Basin along Axis = Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis of a Basin*sqrt([g]*Water Depth at Harbor)/2. 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, 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 & 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 Closed Basin?

The Basin Length along Axis for Closed Basin formula is defined as the longest distance measured along the principal axis (usually the longest dimension) of a closed basin. A closed basin is a geographical or man-made depression that collects water and does not have a surface outflow to other bodies of water like rivers or oceans is calculated using Length of Basin along Axis = Natural Free Oscillating Period of a Basin*Number of Nodes along the Axis of a Basin*sqrt([g]*Water Depth at Harbor)/2. To calculate Basin Length along Axis for Closed Basin, you need Natural Free Oscillating Period of a Basin (T_n), Number of Nodes along the Axis of a Basin (N) & Water Depth at Harbor (d). With our tool, you need to enter the respective value for Natural Free Oscillating Period of a Basin, Number of Nodes along the Axis 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.

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