✖Harbor Basin Length is the distance measured along the longitudinal axis of the harbor basin, which is the sheltered area of water where ships are moored.ⓘ Harbor Basin Length [L_hbl]			+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 Oscillating Period of a Basin [T_n]			+10% -10%
✖Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.ⓘ Water Depth [D]			+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 Long Basin Axis in Open Basin [N]

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Formula

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Number of Nodes along Long Basin Axis in Open Basin

Formula

`"N" = (((4*"L"_{"hbl"})/("T"_{"n"}*sqrt("[g]"*"D")))-1)/2`

Example

`"0.840838"=(((4*"40m")/("5.50s"*sqrt("[g]"*"12m")))-1)/2`

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Number of Nodes along Long Basin Axis in Open Basin Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
N = (((4*L_hbl)/(T_n*sqrt([g]*D)))-1)/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

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.
Harbor Basin Length - (Measured in Meter) - Harbor Basin Length is the distance measured along the longitudinal axis of the harbor basin, which is the sheltered area of water where ships are moored.
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 - (Measured in Meter) - Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.

STEP 1: Convert Input(s) to Base Unit

Harbor Basin Length: 40 Meter --> 40 Meter No Conversion Required
Natural Free Oscillating Period of a Basin: 5.5 Second --> 5.5 Second No Conversion Required
Water Depth: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (((4*L_hbl)/(T_n*sqrt([g]*D)))-1)/2 --> (((4*40)/(5.5*sqrt([g]*12)))-1)/2

Evaluating ... ...

N = 0.840838083693497

STEP 3: Convert Result to Output's Unit

0.840838083693497 --> No Conversion Required

FINAL ANSWER

0.840838083693497 ≈ 0.840838 <-- Number of Nodes along the Axis 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 » Open and Closed Basins » Number of Nodes along Long Basin Axis in Open 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))

Number of Nodes along Long Basin Axis in Open Basin Formula

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
N = (((4*L_hbl)/(T_n*sqrt([g]*D)))-1)/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.

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 Number of Nodes along Long Basin Axis in Open Basin?

Number of Nodes along Long Basin Axis in Open Basin calculator uses 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 to calculate the Number of Nodes along the Axis of a Basin, The Number of nodes along Long Basin axis in Open Basin formula is defined as the parameter influencing general expression for free oscillation period, fundamental mode of resonant oscillation occurs when there is one-quarter of wave in basin. Number of Nodes along the Axis of a Basin is denoted by N symbol.

How to calculate Number of Nodes along Long Basin Axis in Open Basin using this online calculator? To use this online calculator for Number of Nodes along Long Basin Axis in Open Basin, enter Harbor Basin Length (L_hbl), Natural Free Oscillating Period of a Basin (T_n) & Water Depth (D) and hit the calculate button. Here is how the Number of Nodes along Long Basin Axis in Open Basin calculation can be explained with given input values -> 0.840838 = (((4*40)/(5.5*sqrt([g]*12)))-1)/2.

FAQ

What is Number of Nodes along Long Basin Axis in Open Basin?

The Number of nodes along Long Basin axis in Open Basin formula is defined as the parameter influencing general expression for free oscillation period, fundamental mode of resonant oscillation occurs when there is one-quarter of wave in basin and is represented as N = (((4*L_hbl)/(T_n*sqrt([g]*D)))-1)/2 or 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. Harbor Basin Length is the distance measured along the longitudinal axis of the harbor basin, which is the sheltered area of water where ships are moored, 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 is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.

How to calculate Number of Nodes along Long Basin Axis in Open Basin?

The Number of nodes along Long Basin axis in Open Basin formula is defined as the parameter influencing general expression for free oscillation period, fundamental mode of resonant oscillation occurs when there is one-quarter of wave in basin is calculated using 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. To calculate Number of Nodes along Long Basin Axis in Open Basin, you need Harbor Basin Length (L_hbl), Natural Free Oscillating Period of a Basin (T_n) & Water Depth (D). With our tool, you need to enter the respective value for Harbor Basin Length, Natural Free Oscillating Period of a Basin & 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 Number of Nodes along the Axis of a Basin?

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

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

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