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Basin Length along Axis in Open Basin 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%
✖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%
✖Depth of Water is the depth as measured from the water level to the bottom of the considered water body.ⓘ Depth of Water [D_w]			+10% -10%

✖Length of Open Basin along Axis refers to the distance or extent of an open water basin (such as a bay, harbor, or estuary) measured along its primary axis.ⓘ Basin Length along Axis in Open Basin [L_b]

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Basin Length along Axis in Open Basin Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Open Basin along Axis = (Natural Free Oscillating Period of a Basin*(1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))/4
L_b = (T_n*(1+(2*N))*sqrt([g]*D_w))/4
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 Open Basin along Axis - (Measured in Meter) - Length of Open Basin along Axis refers to the distance or extent of an open water basin (such as a bay, harbor, or estuary) measured along its primary 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.
Depth of Water - (Measured in Meter) - Depth of Water is 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
Depth of Water: 105.4 Meter --> 105.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_b = (T_n*(1+(2*N))*sqrt([g]*D_w))/4 --> (5.5*(1+(2*1.3))*sqrt([g]*105.4))/4

Evaluating ... ...

L_b = 159.142377597154

STEP 3: Convert Result to Output's Unit

159.142377597154 Meter --> No Conversion Required

FINAL ANSWER

159.142377597154 ≈ 159.1424 Meter <-- Length of Open 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 in Open Basin

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< Harbor Oscillations Calculators

Period for Fundamental Mode

LaTeX 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

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

Maximum Oscillation Period corresponding to Fundamental Mode

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

Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

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

< Important Formulas of Harbor Oscillation Calculators

Resonant Period for Helmholtz Mode

LaTeX Go Resonant Period for Helmholtz Mode = (2*pi)*sqrt((Channel Length (Helmholtz Mode)+Additional Length of the Channel)*Surface Area of Bay/([g]*Cross Sectional Area))

Standing Wave Height given Maximum Horizontal Velocity at Node

LaTeX Go Standing Wave Height of Ocean = (Maximum Horizontal Velocity at a Node/sqrt([g]/Depth of Water))*2

Maximum Horizontal Velocity at Node

LaTeX Go Maximum Horizontal Velocity at a Node = (Standing Wave Height of Ocean/2)*sqrt([g]/Depth of Water)

Water Depth given Maximum Horizontal Velocity at Node

LaTeX Go Depth of Water = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height of Ocean/2))^2

Basin Length along Axis in Open Basin Formula

LaTeX Go

Length of Open Basin along Axis = (Natural Free Oscillating Period of a Basin*(1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))/4
L_b = (T_n*(1+(2*N))*sqrt([g]*D_w))/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 in Open Basin?

Basin Length along Axis in Open Basin calculator uses Length of Open Basin along Axis = (Natural Free Oscillating Period of a Basin*(1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))/4 to calculate the Length of Open Basin along Axis, The Basin Length along Axis in Open Basin formula is defined as maximum distance from watershed boundary to pour point influencing natural free oscillating period. Length of Open Basin along Axis is denoted by L_b symbol.

How to calculate Basin Length along Axis in Open Basin using this online calculator? To use this online calculator for Basin Length along Axis in Open Basin, enter Natural Free Oscillating Period of a Basin (T_n), Number of Nodes along the Axis of a Basin (N) & Depth of Water (D_w) and hit the calculate button. Here is how the Basin Length along Axis in Open Basin calculation can be explained with given input values -> 159.1424 = (5.5*(1+(2*1.3))*sqrt([g]*105.4))/4.

FAQ

What is Basin Length along Axis in Open Basin?

The Basin Length along Axis in Open Basin formula is defined as maximum distance from watershed boundary to pour point influencing natural free oscillating period and is represented as L_b = (T_n*(1+(2*N))*sqrt([g]*D_w))/4 or Length of Open Basin along Axis = (Natural Free Oscillating Period of a Basin*(1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))/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, 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 & Depth of Water is the depth as measured from the water level to the bottom of the considered water body.

How to calculate Basin Length along Axis in Open Basin?

The Basin Length along Axis in Open Basin formula is defined as maximum distance from watershed boundary to pour point influencing natural free oscillating period is calculated using Length of Open Basin along Axis = (Natural Free Oscillating Period of a Basin*(1+(2*Number of Nodes along the Axis of a Basin))*sqrt([g]*Depth of Water))/4. To calculate Basin Length along Axis in Open Basin, you need Natural Free Oscillating Period of a Basin (T_n), Number of Nodes along the Axis of a Basin (N) & Depth of Water (D_w). 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 & Depth of Water 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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