FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Channel Length for Resonant Period for Helmholtz Mode Formula

Fx Copy

LaTeX Copy

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. Check FAQs

L ch = ([g] \cdot A C \cdot \frac{{(\frac{T r 2}{2} \cdot π)}^{2}}{A s}) - l' c

L_ch - Channel Length (Helmholtz Mode)?A_C - Cross Sectional Area?T_r2 - Resonant Period?A_s - Surface Area?l'_c - Additional Length of the Channel?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Channel Length for Resonant Period for Helmholtz Mode Example

With values

With units

Only example

Here is how the Channel Length for Resonant Period for Helmholtz Mode equation looks like with Values.

Here is how the Channel Length for Resonant Period for Helmholtz Mode equation looks like with Units.

Here is how the Channel Length for Resonant Period for Helmholtz Mode equation looks like.

40.0875 = (9.8066 \cdot 0.2 \cdot \frac{{(\frac{19.3}{2} \cdot 3.1416)}^{2}}{30}) - 20

40.0875m = (9.8066m/s² \cdot 0.2m² \cdot \frac{{(\frac{19.3s}{2} \cdot 3.1416)}^{2}}{30m²}) - 20m

40.0875 = (9.8066 \cdot 0.2 \cdot \frac{{(\frac{19.3}{2} \cdot 3.1416)}^{2}}{30}) - 20

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Coastal and Ocean Engineering » fx Channel Length for Resonant Period for Helmholtz Mode

Channel Length for Resonant Period for Helmholtz Mode Solution

Follow our step by step solution on how to calculate Channel Length for Resonant Period for Helmholtz Mode?

FIRST Step Consider the formula

L ch = ([g] \cdot A C \cdot \frac{{(\frac{T r 2}{2} \cdot π)}^{2}}{A s}) - l' c

Next Step Substitute values of Variables

∴

L ch = ([g] \cdot 0.2m² \cdot \frac{{(\frac{19.3s}{2} \cdot π)}^{2}}{30m²}) - 20m

Next Step Substitute values of Constants

∴

L ch = (9.8066m/s² \cdot 0.2m² \cdot \frac{{(\frac{19.3s}{2} \cdot 3.1416)}^{2}}{30m²}) - 20m

Next Step Prepare to Evaluate

∴

L ch = (9.8066 \cdot 0.2 \cdot \frac{{(\frac{19.3}{2} \cdot 3.1416)}^{2}}{30}) - 20

Next Step Evaluate

∴

L ch = 40.0874520540313m

LAST Step Rounding Answer

∴

L ch = 40.0875m

Channel Length for Resonant Period for Helmholtz Mode Formula Elements

Variables

Constants

Channel Length (Helmholtz Mode)

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.

Symbol: L_ch

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Channel Length (Helmholtz Mode)

Cross Sectional Area

Cross Sectional Area is the area of the channel when viewed in a plane perpendicular to the direction of flow.

Symbol: A_C

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Cross Sectional Area

Resonant Period

Resonant Period is the natural period of oscillation at which a body of water or a structure responds most strongly to external forcing.

Symbol: T_r2

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Resonant Period

Surface Area

Surface Area is the extent of a two-dimensional surface within a three-dimensional space. This surface can pertain to various natural and man-made structures and phenomena.

Symbol: A_s

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Surface Area

Additional Length of the Channel

Additional Length of the Channel refers to the extra distance required in a channel or conduit to accommodate certain flow characteristics or conditions.

Symbol: l'_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Additional Length of the Channel

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Harbor Oscillations category

Go Maximum Oscillation Period corresponding to Fundamental Mode

T 1 = 2 \cdot \frac{L ba}{\sqrt{[g] \cdot D}}

Go Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode

L ba = T 1 \cdot \frac{\sqrt{[g] \cdot D}}{2}

Go Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

d = \frac{{(2 \cdot \frac{L ba}{T n})}^{2}}{[g]}

Go Period for Fundamental Mode

T n = \frac{4 \cdot L ba}{\sqrt{[g] \cdot d}}

How to Evaluate Channel Length for Resonant Period for Helmholtz Mode?

Channel Length for Resonant Period for Helmholtz Mode evaluator uses Channel Length (Helmholtz Mode) = ([g]*Cross Sectional Area*(Resonant Period/2*pi)^2/Surface Area)-Additional Length of the Channel to evaluate the Channel Length (Helmholtz Mode), The Channel Length for Resonant Period for Helmholtz Mode formula is defined as the number of intermediaries in a particular distribution channel between the source & channel end point. Channel Length (Helmholtz Mode) is denoted by L_ch symbol.

How to evaluate Channel Length for Resonant Period for Helmholtz Mode using this online evaluator? To use this online evaluator for Channel Length for Resonant Period for Helmholtz Mode, enter Cross Sectional Area (A_C), Resonant Period (T_r2), Surface Area (A_s) & Additional Length of the Channel (l'_c) and hit the calculate button.

FAQs on Channel Length for Resonant Period for Helmholtz Mode

What is the formula to find Channel Length for Resonant Period for Helmholtz Mode?

The formula of Channel Length for Resonant Period for Helmholtz Mode is expressed as Channel Length (Helmholtz Mode) = ([g]*Cross Sectional Area*(Resonant Period/2*pi)^2/Surface Area)-Additional Length of the Channel. Here is an example- 40.08745 = ([g]*0.2*(19.3/2*pi)^2/30)-20.

How to calculate Channel Length for Resonant Period for Helmholtz Mode?

With Cross Sectional Area (A_C), Resonant Period (T_r2), Surface Area (A_s) & Additional Length of the Channel (l'_c) we can find Channel Length for Resonant Period for Helmholtz Mode using the formula - Channel Length (Helmholtz Mode) = ([g]*Cross Sectional Area*(Resonant Period/2*pi)^2/Surface Area)-Additional Length of the Channel. This formula also uses Gravitational acceleration on Earth, Archimedes' constant .

Can the Channel Length for Resonant Period for Helmholtz Mode be negative?

No, the Channel Length for Resonant Period for Helmholtz Mode, measured in Length cannot be negative.

Which unit is used to measure Channel Length for Resonant Period for Helmholtz Mode?

Channel Length for Resonant Period for Helmholtz Mode is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Channel Length for Resonant Period for Helmholtz Mode can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Channel Length for Resonant Period for Helmholtz Mode Formula

Channel Length for Resonant Period for Helmholtz Mode Example

Channel Length for Resonant Period for Helmholtz Mode Solution

Channel Length for Resonant Period for Helmholtz Mode Formula Elements

Other formulas in Harbor Oscillations category

How to Evaluate Channel Length for Resonant Period for Helmholtz Mode?

FAQs on Channel Length for Resonant Period for Helmholtz Mode

Variable Name