HCF of two numbers

Resonant Period for Helmholtz Mode Calculator

Engineering Chemistry Financial Health More >>

↳

Civil Chemical Engineering Electrical Electronics More >>

⤿

Coastal and Ocean Engineering Bridge and Suspension Cable Columns Concrete Formulas More >>

⤿

Surf Zone Hydrodynamics Calculation of Forces on Ocean Structures Density Currents in Harbors Density Currents in Rivers More >>

⤿

Harbor Hydrodynamics Methods to Predict Channel Shoaling Nearshore Currents Surf Zone Waves More >>

⤿

Harbor Oscillations Important Formulas of Harbor Oscillation Mooring Reflection from Structures More >>

⤿

Flushing or Circulation Processes and Vessel Interactions Free Oscillation Period Open and Closed Basins

✖Channel Length (Helmholtz Mode) is the specific length of a coastal channel at which the natural frequency of the channel matches the frequency of incoming waves, leading to resonance.ⓘ Channel Length (Helmholtz Mode) [L_ch]			+10% -10%
✖Additional Length of the Channel refers to the extra distance required in a channel or conduit to accommodate certain flow characteristics or conditions.ⓘ Additional Length of the Channel [l'_c]			+10% -10%
✖Surface Area of Bay is defined as a small body of water set off from the main body.ⓘ Surface Area of Bay [A_b]			+10% -10%
✖Cross Sectional Area is the area of the channel when viewed in a plane perpendicular to the direction of flow.ⓘ Cross Sectional Area [A_C]			+10% -10%

✖Resonant Period for Helmholtz Mode is the specific time period at which a resonant oscillation occurs in a system exhibiting Helmholtz resonance.ⓘ Resonant Period for Helmholtz Mode [T_H]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Surf Zone Hydrodynamics Formula PDF PDF Image

Resonant Period for Helmholtz Mode Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
T_H = (2*pi)*sqrt((L_ch+l'_c)*A_b/([g]*A_C))
This formula uses 2 Constants, 1 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

Resonant Period for Helmholtz Mode - (Measured in Second) - Resonant Period for Helmholtz Mode is the specific time period at which a resonant oscillation occurs in a system exhibiting Helmholtz resonance.
Channel Length (Helmholtz Mode) - (Measured in Meter) - Channel Length (Helmholtz Mode) is the specific length of a coastal channel at which the natural frequency of the channel matches the frequency of incoming waves, leading to resonance.
Additional Length of the Channel - (Measured in Meter) - Additional Length of the Channel refers to the extra distance required in a channel or conduit to accommodate certain flow characteristics or conditions.
Surface Area of Bay - (Measured in Square Meter) - Surface Area of Bay is defined as a small body of water set off from the main body.
Cross Sectional Area - (Measured in Square Meter) - Cross Sectional Area is the area of the channel when viewed in a plane perpendicular to the direction of flow.

STEP 1: Convert Input(s) to Base Unit

Channel Length (Helmholtz Mode): 40 Meter --> 40 Meter No Conversion Required
Additional Length of the Channel: 20 Meter --> 20 Meter No Conversion Required
Surface Area of Bay: 1.5001 Square Meter --> 1.5001 Square Meter No Conversion Required
Cross Sectional Area: 0.2 Square Meter --> 0.2 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_H = (2*pi)*sqrt((L_ch+l'_c)*A_b/([g]*A_C)) --> (2*pi)*sqrt((40+20)*1.5001/([g]*0.2))

Evaluating ... ...

T_H = 42.5637872207341

STEP 3: Convert Result to Output's Unit

42.5637872207341 Second --> No Conversion Required

FINAL ANSWER

42.5637872207341 ≈ 42.56379 Second <-- Resonant Period for Helmholtz Mode

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Harbor Oscillations » Resonant Period for Helmholtz Mode

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has verified this Calculator and 400+ more calculators!

< 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

Resonant Period for Helmholtz Mode Formula

LaTeX Go

What is the Resonant Frequency of a Helmholtz Resonator?

Like a reed or like lips at the mouthpiece of a wind instrument, the vocal folds function acoustically as a closed end, so that the vocal column is a closed-tube resonator with resonant frequencies of about 500, 1,500, 2,500, and 3,500 hertz, and so on.

What are Open basins - Helmholtz resonance?

A harbor basin open to the sea through an inlet can resonate in a mode referred to as the Helmholtz or grave mode (Sorensen 1986b). This very long period mode appears to be particularly significant for harbors responding to tsunami energy and for several harbors on the Great Lakes that respond to long-wave energy spectra generated by storms (Miles 1974; Sorensen 1986; Sorensen and Seelig 1976).

How to Calculate Resonant Period for Helmholtz Mode?

Resonant Period for Helmholtz Mode calculator uses 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)) to calculate the Resonant Period for Helmholtz Mode, The Resonant Period for Helmholtz Mode formula is defined as the natural oscillation period of a submerged cavity or structure, such as a breakwater or coastal barrier, responding to wave action. Resonant Period for Helmholtz Mode is denoted by T_H symbol.

How to calculate Resonant Period for Helmholtz Mode using this online calculator? To use this online calculator for Resonant Period for Helmholtz Mode, enter Channel Length (Helmholtz Mode) (L_ch), Additional Length of the Channel (l'_c), Surface Area of Bay (A_b) & Cross Sectional Area (A_C) and hit the calculate button. Here is how the Resonant Period for Helmholtz Mode calculation can be explained with given input values -> 42.56379 = (2*pi)*sqrt((40+20)*1.5001/([g]*0.2)).

FAQ

What is Resonant Period for Helmholtz Mode?

The Resonant Period for Helmholtz Mode formula is defined as the natural oscillation period of a submerged cavity or structure, such as a breakwater or coastal barrier, responding to wave action and is represented as T_H = (2*pi)*sqrt((L_ch+l'_c)*A_b/([g]*A_C)) or 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)). Channel Length (Helmholtz Mode) is the specific length of a coastal channel at which the natural frequency of the channel matches the frequency of incoming waves, leading to resonance, Additional Length of the Channel refers to the extra distance required in a channel or conduit to accommodate certain flow characteristics or conditions, Surface Area of Bay is defined as a small body of water set off from the main body & Cross Sectional Area is the area of the channel when viewed in a plane perpendicular to the direction of flow.

How to calculate Resonant Period for Helmholtz Mode?

The Resonant Period for Helmholtz Mode formula is defined as the natural oscillation period of a submerged cavity or structure, such as a breakwater or coastal barrier, responding to wave action is calculated using 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)). To calculate Resonant Period for Helmholtz Mode, you need Channel Length (Helmholtz Mode) (L_ch), Additional Length of the Channel (l'_c), Surface Area of Bay (A_b) & Cross Sectional Area (A_C). With our tool, you need to enter the respective value for Channel Length (Helmholtz Mode), Additional Length of the Channel, Surface Area of Bay & Cross Sectional Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search