Number of Nodes along Long Basin Axis in Closed Basins Calculator

✖Harbour Basin Length or Length of Basin is defined as the length of the drainage basin.ⓘ Harbour Basin Length [L_B]			+10% -10%
✖Natural Free Oscillating Period of a Basin have a period equal to the natural resonant period of the basin which is determined by the basin's geometry and depth.ⓘ Natural Free Oscillating Period of a Basin [T_n]			+10% -10%
✖Water depth means the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth [D]			+10% -10%

✖Number of nodes along the Axis of a Basin where Basin axis is the lowest point on the basement surface.ⓘ Number of Nodes along Long Basin Axis in Closed Basins [N]

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Formula

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Number of Nodes along Long Basin Axis in Closed Basins

Formula

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

Example

`"1.340838"=(2*"40m")/("5.5s"*sqrt("[g]"*"12m"))`

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Number of Nodes along Long Basin Axis in Closed Basins Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of nodes along the Axis of a Basin = (2*Harbour Basin Length)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth))
N = (2*L_B)/(T_n*sqrt([g]*D))
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 where Basin axis is the lowest point on the basement surface.
Harbour Basin Length - (Measured in Meter) - Harbour Basin Length or Length of Basin is defined as the length of the drainage basin.
Natural Free Oscillating Period of a Basin - (Measured in Second) - Natural Free Oscillating Period of a Basin have a period equal to the natural resonant period of the basin which is determined by the basin's geometry and depth.
Water Depth - (Measured in Meter) - Water depth means the depth as measured from the water level to the bottom of the considered water body.

STEP 1: Convert Input(s) to Base Unit

Harbour 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 = (2*L_B)/(T_n*sqrt([g]*D)) --> (2*40)/(5.5*sqrt([g]*12))

Evaluating ... ...

N = 1.3408380836935

STEP 3: Convert Result to Output's Unit

1.3408380836935 --> No Conversion Required

FINAL ANSWER

1.3408380836935 ≈ 1.340838 <-- 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 Closed Basins

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 4 Open and Closed Basins Calculators

Number of Nodes along Long Basin Axis in Open Basin

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

Basin Length along Axis in Open Basin

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

Number of Nodes along Long Basin Axis in Closed Basins

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

Basin Length along Axis for Closed Basins

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

Number of Nodes along Long Basin Axis in Closed Basins Formula

Number of nodes along the Axis of a Basin = (2*Harbour Basin Length)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth))
N = (2*L_B)/(T_n*sqrt([g]*D))

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 Number of Nodes along Long Basin Axis in Closed Basins?

Number of Nodes along Long Basin Axis in Closed Basins calculator uses Number of nodes along the Axis of a Basin = (2*Harbour Basin Length)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)) to calculate the Number of nodes along the Axis of a Basin, The Number of Nodes along Long Basin Axis in Closed Basins is defined as parameter influencing natural free oscillation period. 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 Closed Basins using this online calculator? To use this online calculator for Number of Nodes along Long Basin Axis in Closed Basins, enter Harbour Basin Length (L_B), 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 Closed Basins calculation can be explained with given input values -> 1.340838 = (2*40)/(5.5*sqrt([g]*12)).

FAQ

What is Number of Nodes along Long Basin Axis in Closed Basins?

The Number of Nodes along Long Basin Axis in Closed Basins is defined as parameter influencing natural free oscillation period and is represented as N = (2*L_B)/(T_n*sqrt([g]*D)) or Number of nodes along the Axis of a Basin = (2*Harbour Basin Length)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)). Harbour Basin Length or Length of Basin is defined as the length of the drainage basin, Natural Free Oscillating Period of a Basin have a period equal to the natural resonant period of the basin which is determined by the basin's geometry and depth & Water depth means the depth as measured from the water level to the bottom of the considered water body.

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

The Number of Nodes along Long Basin Axis in Closed Basins is defined as parameter influencing natural free oscillation period is calculated using Number of nodes along the Axis of a Basin = (2*Harbour Basin Length)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)). To calculate Number of Nodes along Long Basin Axis in Closed Basins, you need Harbour Basin Length (L_B), Natural Free Oscillating Period of a Basin (T_n) & Water Depth (D). With our tool, you need to enter the respective value for Harbour 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 Harbour 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 = (((4*Harbour Basin Length)/(Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)))-1)/2

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