Maximum Instantaneous Ebb Tide Discharge per Unit Width Calculator

✖Change in Mean Ebb Tide Flow Energy Flux represents the alteration in the energy transferred by ebbing tidal currents over time.ⓘ Change in Mean Ebb Tide Flow Energy Flux [E_ΔT]			+10% -10%
✖Natural Depth of Ocean Bar is the original depth of a sandbar or shoal in the ocean before any human intervention, such as dredging.ⓘ Natural Depth of Ocean Bar [d_OB]			+10% -10%
✖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.ⓘ Depth of Navigation Channel [d_NC]			+10% -10%
✖Tidal Period is the time it takes 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.ⓘ Tidal Period [T]			+10% -10%

✖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.ⓘ Maximum Instantaneous Ebb Tide Discharge per Unit Width [Q_max]

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Maximum Instantaneous Ebb Tide Discharge per Unit Width

Formula

`"Q"_{"max"} = ("E"_{"ΔT"}*(3*pi*"d"_{"OB"}^2*"d"_{"NC"}^2)/(4*"T"*("d"_{"NC"}^2-"d"_{"OB"}^2)))^(1/3)`

Example

`"2.499991m³/s"=("161.64"*(3*pi*("2m")^2*("4m")^2)/(4*"130s"*(("4m")^2-("2m")^2)))^(1/3)`

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Maximum Instantaneous Ebb Tide Discharge per Unit Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Q_max = (E_ΔT*(3*pi*d_OB^2*d_NC^2)/(4*T*(d_NC^2-d_OB^2)))^(1/3)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Maximum Instantaneous Ebb Tide Discharge - (Measured in Cubic Meter per Second) - 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.
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.
Natural Depth of Ocean Bar - (Measured in Meter) - Natural Depth of Ocean Bar is the original depth of a sandbar or shoal in the ocean before any human intervention, such as dredging.
Depth of Navigation Channel - (Measured in Meter) - 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.
Tidal Period - (Measured in Second) - Tidal Period is the time it takes 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.

STEP 1: Convert Input(s) to Base Unit

Change in Mean Ebb Tide Flow Energy Flux: 161.64 --> No Conversion Required
Natural Depth of Ocean Bar: 2 Meter --> 2 Meter No Conversion Required
Depth of Navigation Channel: 4 Meter --> 4 Meter No Conversion Required
Tidal Period: 130 Second --> 130 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_max = (E_ΔT*(3*pi*d_OB^2*d_NC^2)/(4*T*(d_NC^2-d_OB^2)))^(1/3) --> (161.64*(3*pi*2^2*4^2)/(4*130*(4^2-2^2)))^(1/3)

Evaluating ... ...

Q_max = 2.49999103426734

STEP 3: Convert Result to Output's Unit

2.49999103426734 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

2.49999103426734 ≈ 2.499991 Cubic Meter per Second <-- Maximum Instantaneous Ebb Tide Discharge

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Methods to Predict Channel Shoaling » Maximum Instantaneous Ebb Tide Discharge per Unit Width

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< 14 Methods to Predict Channel Shoaling Calculators

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

Go 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))

Maximum Instantaneous Ebb Tide Discharge per Unit Width

Go 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)

Tidal Period given Change of Ebb Tidal Energy Flux across Ocean Bar

Go Tidal Period = Change in Mean Ebb Tide Flow Energy Flux*(3*pi*Natural Depth of Ocean Bar^2*Depth of Navigation Channel^2)/(4*Maximum Instantaneous Ebb Tide Discharge^3*(Depth of Navigation Channel^2-Natural Depth of Ocean Bar^2))

Hoerls Special Function Distribution

Go Hoerls Special Function Distribution = Hoerls Best-fit Coefficient a*(Filling Index^Hoerls Best-fit Coefficient b)*e^(Hoerls Best-fit Coefficient c*Filling Index)

Density of Water given Water Surface Slope

Go Density of Water = (Coefficient Eckman*Shear Stress at the Water Surface)/(Water Surface Slope*[g]*Eckman Constant Depth)

Water Surface Slope

Go Water Surface Slope = (Coefficient Eckman*Shear Stress at the Water Surface)/(Density of Water*[g]*Eckman Constant Depth)

Shear Stress at Water Surface given Water Surface Slope

Go Shear Stress at the Water Surface = (Water Surface Slope*Density of Water*[g]*Eckman Constant Depth)/Coefficient Eckman

Coefficient given Water Surface Slope by Eckman

Go Coefficient Eckman = (Water Surface Slope*Density of Water*[g]*Eckman Constant Depth)/Shear Stress at the Water Surface

Ratio of Depth of Channel to Depth at which Seaward Slope of Ocean Bar Meets Sea Bottom

Go Depth Ratio = (Depth of Navigation Channel-Natural Depth of Ocean Bar)/(Water Depth between Sea Tip and Offshore Bottom-Natural Depth of Ocean Bar)

Water Depth where Seaward Tip of Ocean Bar meets Offshore Sea Bottom

Go Water Depth between Sea Tip and Offshore Bottom = ((Depth of Navigation Channel-Natural Depth of Ocean Bar)/Depth Ratio)+Natural Depth of Ocean Bar

Depth of Navigation Channel given Depth of Channel to depth at which Ocean Bar meets Sea Bottom

Go Depth of Navigation Channel = Depth Ratio*(Water Depth between Sea Tip and Offshore Bottom-Natural Depth of Ocean Bar)+Natural Depth of Ocean Bar

Transport Ratio

Go Transport Ratio = (Depth before Dredging/Depth after Dredging)^(5/2)

Depth before Dredging given Transport Ratio

Go Depth before Dredging = Depth after Dredging*Transport Ratio^(2/5)

Depth after Dredging given Transport Ratio

Go Depth after Dredging = Depth before Dredging/Transport Ratio^(2/5)

Maximum Instantaneous Ebb Tide Discharge per Unit Width Formula

What is Ocean Dynamics?

The Ocean Dynamics define and describe the motion of water within the oceans. Ocean temperature and motion fields can be separated into three distinct layers: mixed (surface) layer, upper ocean (above the thermocline), and deep ocean. Ocean dynamics has traditionally been investigated by sampling from instruments in situ.

What is Dredging?

Dredging is the act of removing silt and other material from the bottom of bodies of water. It is a routine necessity in waterways around the world because sedimentation—the natural process of sand and silt washing downstream—gradually fills channels and harbors.

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

Maximum Instantaneous Ebb Tide Discharge per Unit Width calculator 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 calculate 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 calculate Maximum Instantaneous Ebb Tide Discharge per Unit Width using this online calculator? To use this online calculator 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. Here is how the Maximum Instantaneous Ebb Tide Discharge per Unit Width calculation can be explained with given input values -> 1.050709 = (161.64*(3*pi*2^2*4^2)/(4*130*(4^2-2^2)))^(1/3).

FAQ

What is Maximum Instantaneous Ebb Tide Discharge per Unit Width?

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 and is represented as Q_max = (E_ΔT*(3*pi*d_OB^2*d_NC^2)/(4*T*(d_NC^2-d_OB^2)))^(1/3) or 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). Change in Mean Ebb Tide Flow Energy Flux represents the alteration in the energy transferred by ebbing tidal currents over time, Natural Depth of Ocean Bar is the original depth of a sandbar or shoal in the ocean before any human intervention, such as dredging, 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 & Tidal Period is the time it takes 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.

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

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 is calculated using 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 calculate Maximum Instantaneous Ebb Tide Discharge per Unit Width, you need 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). With our tool, you need to enter the respective value for Change in Mean Ebb Tide Flow Energy Flux, Natural Depth of Ocean Bar, Depth of Navigation Channel & Tidal Period 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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