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Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions Formula

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Change in Mean Ebb Tide Flow Energy Flux represents the alteration in the energy transferred by ebbing tidal currents over time. Check FAQs

E ΔT = (\frac{4 \cdot T}{3 \cdot π}) \cdot {Q max}^{3} \cdot (\frac{{d NC}^{2} - {d OB}^{2}}{{d OB}^{2} \cdot {d NC}^{2}})

E_ΔT - Change in Mean Ebb Tide Flow Energy Flux?T - Tidal Period?Q_max - Maximum Instantaneous Ebb Tide Discharge?d_NC - Depth of Navigation Channel?d_OB - Natural Depth of Ocean Bar?π - Archimedes' constant?

Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions Example

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Here is how the Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions equation looks like.

161.6417 = (\frac{4 \cdot 130}{3 \cdot 3.1416}) \cdot {2.5}^{3} \cdot (\frac{4^{2} - 2^{2}}{2^{2} \cdot 4^{2}})

161.6417 = (\frac{4 \cdot 130s}{3 \cdot 3.1416}) \cdot {2.5m³/s}^{3} \cdot (\frac{{4m}^{2} - {2m}^{2}}{{2m}^{2} \cdot {4m}^{2}})

161.6417 = (\frac{4 \cdot 130}{3 \cdot 3.1416}) \cdot {2.5}^{3} \cdot (\frac{4^{2} - 2^{2}}{2^{2} \cdot 4^{2}})

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Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions Solution

Follow our step by step solution on how to calculate Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions?

FIRST Step Consider the formula

E ΔT = (\frac{4 \cdot T}{3 \cdot π}) \cdot {Q max}^{3} \cdot (\frac{{d NC}^{2} - {d OB}^{2}}{{d OB}^{2} \cdot {d NC}^{2}})

Next Step Substitute values of Variables

∴

E ΔT = (\frac{4 \cdot 130s}{3 \cdot π}) \cdot {2.5m³/s}^{3} \cdot (\frac{{4m}^{2} - {2m}^{2}}{{2m}^{2} \cdot {4m}^{2}})

Next Step Substitute values of Constants

∴

E ΔT = (\frac{4 \cdot 130s}{3 \cdot 3.1416}) \cdot {2.5m³/s}^{3} \cdot (\frac{{4m}^{2} - {2m}^{2}}{{2m}^{2} \cdot {4m}^{2}})

Next Step Prepare to Evaluate

∴

E ΔT = (\frac{4 \cdot 130}{3 \cdot 3.1416}) \cdot {2.5}^{3} \cdot (\frac{4^{2} - 2^{2}}{2^{2} \cdot 4^{2}})

Next Step Evaluate

∴

E ΔT = 161.641739077706

LAST Step Rounding Answer

∴

E ΔT = 161.6417

Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions Formula Elements

Variables

Constants

Change in Mean Ebb Tide Flow Energy Flux

Change in Mean Ebb Tide Flow Energy Flux represents the alteration in the energy transferred by ebbing tidal currents over time.

Symbol: E_ΔT

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Change in Mean Ebb Tide Flow Energy Flux

Tidal Period

Tidal Period is the time taken for a specific site on Earth to rotate from an exact point under moon to same point under moon, also known as “tidal day” and it’s slightly longer than a solar day.

Symbol: T

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Tidal Period

Maximum Instantaneous Ebb Tide Discharge

Maximum Instantaneous Ebb Tide Discharge per unit width is the tidal phase during which the water level falls & flood tidal phase during which the water level rises.

Symbol: Q_max

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Maximum Instantaneous Ebb Tide Discharge

Depth of Navigation Channel

Depth of Navigation Channel is the depth of a passage in a stretch of water where the sea or riverbed has been deepened to allow access to large vessels.

Symbol: d_NC

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Navigation Channel

Natural Depth of Ocean Bar

Natural Depth of Ocean Bar is the original depth of a sandbar or shoal in the ocean before any human intervention, such as dredging.

Symbol: d_OB

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Natural Depth of Ocean Bar

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 Methods to Predict Channel Shoaling category

Go Transport Ratio

t r = {(\frac{d 1}{d 2})}^{\frac{5}{2}}

Go Depth before Dredging given Transport Ratio

d 1 = d 2 \cdot {t r}^{\frac{2}{5}}

Go Depth after Dredging given Transport Ratio

d 2 = \frac{d 1}{{t r}^{\frac{2}{5}}}

Go Density of Water given Water Surface Slope

ρ = \frac{Δ \cdot τ}{β \cdot [g] \cdot h}

How to Evaluate Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions?

Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions evaluator uses Change in Mean Ebb Tide Flow Energy Flux = ((4*Tidal Period)/(3*pi))*Maximum Instantaneous Ebb Tide Discharge^3*((Depth of Navigation Channel^2-Natural Depth of Ocean Bar^2)/(Natural Depth of Ocean Bar^2*Depth of Navigation Channel^2)) to evaluate the Change in Mean Ebb Tide Flow Energy Flux, The Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions formula is defined as the measure to quantify the change in energy flux due to tidal currents across an ocean bar, when the conditions change from natural to channel conditions. Change in Mean Ebb Tide Flow Energy Flux is denoted by E_ΔT symbol.

How to evaluate Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions using this online evaluator? To use this online evaluator for Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions, enter Tidal Period (T), Maximum Instantaneous Ebb Tide Discharge (Q_max), Depth of Navigation Channel (d_NC) & Natural Depth of Ocean Bar (d_OB) and hit the calculate button.

FAQs on Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions

What is the formula to find Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions?

The formula of Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions is expressed as Change in Mean Ebb Tide Flow Energy Flux = ((4*Tidal Period)/(3*pi))*Maximum Instantaneous Ebb Tide Discharge^3*((Depth of Navigation Channel^2-Natural Depth of Ocean Bar^2)/(Natural Depth of Ocean Bar^2*Depth of Navigation Channel^2)). Here is an example- 161.6417 = ((4*130)/(3*pi))*2.5^3*((4^2-2^2)/(2^2*4^2)).

How to calculate Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions?

With Tidal Period (T), Maximum Instantaneous Ebb Tide Discharge (Q_max), Depth of Navigation Channel (d_NC) & Natural Depth of Ocean Bar (d_OB) we can find Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions using the formula - Change in Mean Ebb Tide Flow Energy Flux = ((4*Tidal Period)/(3*pi))*Maximum Instantaneous Ebb Tide Discharge^3*((Depth of Navigation Channel^2-Natural Depth of Ocean Bar^2)/(Natural Depth of Ocean Bar^2*Depth of Navigation Channel^2)). This formula also uses Archimedes' constant .

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Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions Formula

Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions Example

Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions Solution

Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions Formula Elements

Other formulas in Methods to Predict Channel Shoaling category

How to Evaluate Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions?

FAQs on Change of Ebb Tidal Energy Flux across Ocean Bar between Natural and Channel Conditions

Variable Name