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Maximum Instantaneous Ebb Tide Discharge per Unit Width Formula

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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. Check FAQs

Q max = {(E ΔT \cdot \frac{3 \cdot π \cdot {d OB}^{2} \cdot {d NC}^{2}}{4 \cdot T \cdot ({d NC}^{2} - {d OB}^{2})})}^{\frac{1}{3}}

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

Maximum Instantaneous Ebb Tide Discharge per Unit Width Example

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Here is how the Maximum Instantaneous Ebb Tide Discharge per Unit Width equation looks like with Values.

Here is how the Maximum Instantaneous Ebb Tide Discharge per Unit Width equation looks like with Units.

Here is how the Maximum Instantaneous Ebb Tide Discharge per Unit Width equation looks like.

2.5 = {(161.64 \cdot \frac{3 \cdot 3.1416 \cdot 2^{2} \cdot 4^{2}}{4 \cdot 130 \cdot (4^{2} - 2^{2})})}^{\frac{1}{3}}

2.5m³/s = {(161.64 \cdot \frac{3 \cdot 3.1416 \cdot {2m}^{2} \cdot {4m}^{2}}{4 \cdot 130s \cdot ({4m}^{2} - {2m}^{2})})}^{\frac{1}{3}}

2.5 = {(161.64 \cdot \frac{3 \cdot 3.1416 \cdot 2^{2} \cdot 4^{2}}{4 \cdot 130 \cdot (4^{2} - 2^{2})})}^{\frac{1}{3}}

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Maximum Instantaneous Ebb Tide Discharge per Unit Width Solution

Follow our step by step solution on how to calculate Maximum Instantaneous Ebb Tide Discharge per Unit Width?

FIRST Step Consider the formula

Q max = {(E ΔT \cdot \frac{3 \cdot π \cdot {d OB}^{2} \cdot {d NC}^{2}}{4 \cdot T \cdot ({d NC}^{2} - {d OB}^{2})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

Q max = {(161.64 \cdot \frac{3 \cdot π \cdot {2m}^{2} \cdot {4m}^{2}}{4 \cdot 130s \cdot ({4m}^{2} - {2m}^{2})})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

Q max = {(161.64 \cdot \frac{3 \cdot 3.1416 \cdot {2m}^{2} \cdot {4m}^{2}}{4 \cdot 130s \cdot ({4m}^{2} - {2m}^{2})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

Q max = {(161.64 \cdot \frac{3 \cdot 3.1416 \cdot 2^{2} \cdot 4^{2}}{4 \cdot 130 \cdot (4^{2} - 2^{2})})}^{\frac{1}{3}}

Next Step Evaluate

∴

Q max = 2.49999103426734m³/s

LAST Step Rounding Answer

∴

Q max = 2.5m³/s

Maximum Instantaneous Ebb Tide Discharge per Unit Width Formula Elements

Variables

Constants

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

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

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

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

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

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 Maximum Instantaneous Ebb Tide Discharge per Unit Width?

Maximum Instantaneous Ebb Tide Discharge per Unit Width evaluator uses Maximum Instantaneous Ebb Tide Discharge = (Change in Mean Ebb Tide Flow Energy Flux*(3*pi*Natural Depth of Ocean Bar^2*Depth of Navigation Channel^2)/(4*Tidal Period*(Depth of Navigation Channel^2-Natural Depth of Ocean Bar^2)))^(1/3) to evaluate the Maximum Instantaneous Ebb Tide Discharge, The Maximum Instantaneous Ebb Tide Discharge per Unit Width formula is defined as quantifying the maximum volume of water that is discharged during the ebb tide (the period when the tide is going out and the water level is falling) per unit width of a channel. Maximum Instantaneous Ebb Tide Discharge is denoted by Q_max symbol.

How to evaluate Maximum Instantaneous Ebb Tide Discharge per Unit Width using this online evaluator? To use this online evaluator for Maximum Instantaneous Ebb Tide Discharge per Unit Width, enter Change in Mean Ebb Tide Flow Energy Flux (E_ΔT), Natural Depth of Ocean Bar (d_OB), Depth of Navigation Channel (d_NC) & Tidal Period (T) and hit the calculate button.

FAQs on Maximum Instantaneous Ebb Tide Discharge per Unit Width

What is the formula to find Maximum Instantaneous Ebb Tide Discharge per Unit Width?

The formula of Maximum Instantaneous Ebb Tide Discharge per Unit Width is expressed as Maximum Instantaneous Ebb Tide Discharge = (Change in Mean Ebb Tide Flow Energy Flux*(3*pi*Natural Depth of Ocean Bar^2*Depth of Navigation Channel^2)/(4*Tidal Period*(Depth of Navigation Channel^2-Natural Depth of Ocean Bar^2)))^(1/3). Here is an example- 1.050709 = (161.64*(3*pi*2^2*4^2)/(4*130*(4^2-2^2)))^(1/3).

How to calculate Maximum Instantaneous Ebb Tide Discharge per Unit Width?

With Change in Mean Ebb Tide Flow Energy Flux (E_ΔT), Natural Depth of Ocean Bar (d_OB), Depth of Navigation Channel (d_NC) & Tidal Period (T) we can find Maximum Instantaneous Ebb Tide Discharge per Unit Width using the formula - Maximum Instantaneous Ebb Tide Discharge = (Change in Mean Ebb Tide Flow Energy Flux*(3*pi*Natural Depth of Ocean Bar^2*Depth of Navigation Channel^2)/(4*Tidal Period*(Depth of Navigation Channel^2-Natural Depth of Ocean Bar^2)))^(1/3). This formula also uses Archimedes' constant .

Can the Maximum Instantaneous Ebb Tide Discharge per Unit Width be negative?

No, the Maximum Instantaneous Ebb Tide Discharge per Unit Width, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Maximum Instantaneous Ebb Tide Discharge per Unit Width?

Maximum Instantaneous Ebb Tide Discharge per Unit Width is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Maximum Instantaneous Ebb Tide Discharge per Unit Width can be measured.

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Maximum Instantaneous Ebb Tide Discharge per Unit Width Formula

Maximum Instantaneous Ebb Tide Discharge per Unit Width Example

Maximum Instantaneous Ebb Tide Discharge per Unit Width Solution

Maximum Instantaneous Ebb Tide Discharge per Unit Width Formula Elements

Other formulas in Methods to Predict Channel Shoaling category

How to Evaluate Maximum Instantaneous Ebb Tide Discharge per Unit Width?

FAQs on Maximum Instantaneous Ebb Tide Discharge per Unit Width

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