Basin Length along Axis for Closed Basins Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Basin = Natural Free Oscillating Period of a Basin*Number of nodes along the Axis of a Basin*sqrt([g]*Water Depth)/2
Lb = Tn*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 - (Measured in Meter) - Length of Basin or length of the drainage basin in kilometres.
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.
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.
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
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: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lb = Tn*N*sqrt([g]*D)/2 --> 5.5*1.3*sqrt([g]*12)/2
Evaluating ... ...
Lb = 38.7817146845649
STEP 3: Convert Result to Output's Unit
38.7817146845649 Meter --> No Conversion Required
FINAL ANSWER
38.7817146845649 38.78171 Meter <-- Length of Basin
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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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

Basin Length along Axis for Closed Basins Formula

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

Basin Length along Axis for Closed Basins calculator uses Length of Basin = Natural Free Oscillating Period of a Basin*Number of nodes along the Axis of a Basin*sqrt([g]*Water Depth)/2 to calculate the Length of Basin, The Basin Length along Axis for Closed Basins, Basins are generally shallow relative to their length. Hence, basin oscillations involve standing waves in shallow water. simplest basin geometry is a narrow rectangular basin with vertical sides and uniform depth. Length of Basin is denoted by Lb symbol.

How to calculate Basin Length along Axis for Closed Basins using this online calculator? To use this online calculator for Basin Length along Axis for Closed Basins, enter Natural Free Oscillating Period of a Basin (Tn), Number of nodes along the Axis of a Basin (N) & Water Depth (D) and hit the calculate button. Here is how the Basin Length along Axis for Closed Basins calculation can be explained with given input values -> 38.78171 = 5.5*1.3*sqrt([g]*12)/2.

FAQ

What is Basin Length along Axis for Closed Basins?
The Basin Length along Axis for Closed Basins, Basins are generally shallow relative to their length. Hence, basin oscillations involve standing waves in shallow water. simplest basin geometry is a narrow rectangular basin with vertical sides and uniform depth and is represented as Lb = Tn*N*sqrt([g]*D)/2 or Length of Basin = Natural Free Oscillating Period of a Basin*Number of nodes along the Axis of a Basin*sqrt([g]*Water Depth)/2. 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, Number of nodes along the Axis of a Basin where Basin axis is the lowest point on the basement surface & Water depth means the depth as measured from the water level to the bottom of the considered water body.
How to calculate Basin Length along Axis for Closed Basins?
The Basin Length along Axis for Closed Basins, Basins are generally shallow relative to their length. Hence, basin oscillations involve standing waves in shallow water. simplest basin geometry is a narrow rectangular basin with vertical sides and uniform depth is calculated using Length of Basin = Natural Free Oscillating Period of a Basin*Number of nodes along the Axis of a Basin*sqrt([g]*Water Depth)/2. To calculate Basin Length along Axis for Closed Basins, you need Natural Free Oscillating Period of a Basin (Tn), Number of nodes along the Axis of a Basin (N) & Water Depth (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 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?
In this formula, Length of Basin uses Natural Free Oscillating Period of a Basin, Number of nodes along the Axis of a Basin & Water Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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
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