Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow Calculator

✖Tidal Prism Filling Bay is the volume of water in an estuary or inlet between mean high tide and mean low tide, or the volume of water leaving an estuary at ebb tide.ⓘ Tidal Prism Filling Bay [P]			+10% -10%
✖Keulegan Constant for Non-sinusoidal Character quantifies drag force on structures exposed to irregular water flow, aiding design considerations.ⓘ Keulegan Constant for Non-sinusoidal Character [C]			+10% -10%
✖Tidal duration is an efficient way of guesstimating how much water there is, at any given time of day, over a particular point.ⓘ Tidal Duration [T]			+10% -10%
✖Average Area over the Channel Length is calculated with surface area of bay, change of bay elevation with time and average velocity in channel for flow.ⓘ Average Area over the Channel Length [A_avg]			+10% -10%

✖Maximum Cross Sectional Average Velocity during a tidal cycle which is the periodic rise and fall of the waters of the ocean and its inlets.ⓘ Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow [V_m]

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Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow

Formula

`"V"_{"m"} = ("P"*pi*"C")/("T"*"A"_{"avg"})`

Example

`"6.346017m/s"=("32m³"*pi*"1.01")/("2Year"*"8m²")`

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Download Hydrodynamics of Tidal Inlets-2 Formulas PDF

Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Cross Sectional Average Velocity = (Tidal Prism Filling Bay*pi*Keulegan Constant for Non-sinusoidal Character)/(Tidal Duration*Average Area over the Channel Length)
V_m = (P*pi*C)/(T*A_avg)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Maximum Cross Sectional Average Velocity - (Measured in Meter per Second) - Maximum Cross Sectional Average Velocity during a tidal cycle which is the periodic rise and fall of the waters of the ocean and its inlets.
Tidal Prism Filling Bay - (Measured in Cubic Meter) - Tidal Prism Filling Bay is the volume of water in an estuary or inlet between mean high tide and mean low tide, or the volume of water leaving an estuary at ebb tide.
Keulegan Constant for Non-sinusoidal Character - Keulegan Constant for Non-sinusoidal Character quantifies drag force on structures exposed to irregular water flow, aiding design considerations.
Tidal Duration - (Measured in Year) - Tidal duration is an efficient way of guesstimating how much water there is, at any given time of day, over a particular point.
Average Area over the Channel Length - (Measured in Square Meter) - Average Area over the Channel Length is calculated with surface area of bay, change of bay elevation with time and average velocity in channel for flow.

STEP 1: Convert Input(s) to Base Unit

Tidal Prism Filling Bay: 32 Cubic Meter --> 32 Cubic Meter No Conversion Required
Keulegan Constant for Non-sinusoidal Character: 1.01 --> No Conversion Required
Tidal Duration: 2 Year --> 2 Year No Conversion Required
Average Area over the Channel Length: 8 Square Meter --> 8 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = (P*pi*C)/(T*A_avg) --> (32*pi*1.01)/(2*8)

Evaluating ... ...

V_m = 6.34601716025138

STEP 3: Convert Result to Output's Unit

6.34601716025138 Meter per Second --> No Conversion Required

FINAL ANSWER

6.34601716025138 ≈ 6.346017 Meter per Second <-- Maximum Cross Sectional Average Velocity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Hydrodynamics of Tidal Inlets-2 » Hydrodynamic and Sediment Interaction at Tidal Inlets » Tidal Prism » Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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National Institute of Technology (NIT), Warangal

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< 18 Tidal Prism Calculators

Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow

Go Maximum Cross Sectional Average Velocity = (Tidal Prism Filling Bay*pi*Keulegan Constant for Non-sinusoidal Character)/(Tidal Duration*Average Area over the Channel Length)

Tidal Period when Tidal Prism Accounting for Non-sinusoidal Prototype Flow by Keulegan

Go Tidal Duration = (Tidal Prism Filling Bay*pi*Keulegan Constant for Non-sinusoidal Character)/(Maximum Cross Sectional Average Velocity*Average Area over the Channel Length)

Average Area over Channel Length given Tidal Prism of Non-Sinusoidal Prototype Flow

Go Average Area over the Channel Length = (Tidal Prism Filling Bay*pi*Keulegan Constant for Non-sinusoidal Character)/(Tidal Duration*Maximum Cross Sectional Average Velocity)

Tidal Prism Filling Bay Accounting for Non-sinusoidal Prototype Flow by Keulegan

Go Tidal Prism Filling Bay = (Tidal Duration*Maximum Instantaneous Ebb Tide Discharge)/(pi*Keulegan Constant for Non-sinusoidal Character)

Maximum Ebb Tide Discharge Accounting for Non-Sinusoidal Character of Prototype Flow by Keulegan

Go Maximum Instantaneous Ebb Tide Discharge = (Tidal Prism Filling Bay*pi*Keulegan Constant for Non-sinusoidal Character)/Tidal Duration

Tidal Period Accounting for Non-sinusoidal Character of Prototype Flow by Keulegan

Go Tidal Duration = (Tidal Prism Filling Bay*pi*Keulegan Constant for Non-sinusoidal Character)/Maximum Instantaneous Ebb Tide Discharge

Tidal Prism for Non-sinusoidal character of Prototype Flow by Keulegan

Go Tidal Prism Filling Bay = Tidal Duration*Maximum Instantaneous Ebb Tide Discharge/(pi*Keulegan Constant for Non-sinusoidal Character)

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Tidal Prism

Go Maximum Cross Sectional Average Velocity = (Tidal Prism Filling Bay*pi)/(Tidal Duration*Average Area over the Channel Length)

Tidal Period given Maximum Cross-sectionally Averaged Velocity and Tidal Prism

Go Tidal Duration = (Tidal Prism Filling Bay*pi)/(Maximum Cross Sectional Average Velocity*Average Area over the Channel Length)

Average Area over Channel Length given Tidal Prism

Go Average Area over the Channel Length = (Tidal Prism Filling Bay*pi)/(Tidal Duration*Maximum Cross Sectional Average Velocity)

Tidal Prism given Average Area over Channel Length

Go Tidal Prism Filling Bay = (Tidal Duration*Maximum Cross Sectional Average Velocity*Average Area over the Channel Length)/pi

Maximum Velocity Averaged over Entire Cross-Section

Go Max Velocity averaged Over Inlet Cross Section = Point Measurement of Maximum Velocity*(Hydraulic Radius/Depth of Water at Current Meter Location)^(2/3)

Hydraulic Radius of Entire Cross-Section

Go Hydraulic Radius = Depth of Water at Current Meter Location*(Max Velocity averaged Over Inlet Cross Section/Point Measurement of Maximum Velocity)^(3/2)

Depth of Water at Current Meter Location

Go Depth of Water at Current Meter Location = Hydraulic Radius/(Max Velocity averaged Over Inlet Cross Section/Point Measurement of Maximum Velocity)^(3/2)

Point Measurement of Maximum Velocity

Go Point Measurement of Maximum Velocity = Max Velocity averaged Over Inlet Cross Section/(Hydraulic Radius/Depth of Water at Current Meter Location)^(2/3)

Tidal Period given Maximum Instantaneous Ebb Tide Discharge and Tidal Prism

Go Tidal Duration = (Tidal Prism Filling Bay*pi)/Maximum Instantaneous Ebb Tide Discharge

Maximum Instantaneous Ebb Tide Discharge given Tidal Prism

Go Maximum Instantaneous Ebb Tide Discharge = Tidal Prism Filling Bay*pi/Tidal Duration

Tidal Prism filling Bay given Maximum Ebb Tide Discharge

Go Tidal Prism Filling Bay = Tidal Duration*Maximum Instantaneous Ebb Tide Discharge/pi

Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow Formula

Maximum Cross Sectional Average Velocity = (Tidal Prism Filling Bay*pi*Keulegan Constant for Non-sinusoidal Character)/(Tidal Duration*Average Area over the Channel Length)
V_m = (P*pi*C)/(T*A_avg)

What is Inlet flow patterns?

An Inlet has a "gorge" where flows converge before they expand again on the opposite side. Shoal (shallow) areas that extend bayward and oceanward from the gorge depend on inlet hydraulics, wave conditions, and general geomorphology. All these interact to determine flow patterns in and around the inlet and locations where flow channels occur.

How to Calculate Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow?

Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow calculator uses Maximum Cross Sectional Average Velocity = (Tidal Prism Filling Bay*pi*Keulegan Constant for Non-sinusoidal Character)/(Tidal Duration*Average Area over the Channel Length) to calculate the Maximum Cross Sectional Average Velocity, The Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow formula is defined as the maximum velocity parameter influencing King’s dimensionless velocity and Inlet Channel Velocity during Tidal Cycle. Maximum Cross Sectional Average Velocity is denoted by V_m symbol.

How to calculate Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow using this online calculator? To use this online calculator for Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow, enter Tidal Prism Filling Bay (P), Keulegan Constant for Non-sinusoidal Character (C), Tidal Duration (T) & Average Area over the Channel Length (A_avg) and hit the calculate button. Here is how the Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow calculation can be explained with given input values -> 6.346017 = (32*pi*1.01)/(63113904*8).

FAQ

What is Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow?

The Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow formula is defined as the maximum velocity parameter influencing King’s dimensionless velocity and Inlet Channel Velocity during Tidal Cycle and is represented as V_m = (P*pi*C)/(T*A_avg) or Maximum Cross Sectional Average Velocity = (Tidal Prism Filling Bay*pi*Keulegan Constant for Non-sinusoidal Character)/(Tidal Duration*Average Area over the Channel Length). Tidal Prism Filling Bay is the volume of water in an estuary or inlet between mean high tide and mean low tide, or the volume of water leaving an estuary at ebb tide, Keulegan Constant for Non-sinusoidal Character quantifies drag force on structures exposed to irregular water flow, aiding design considerations, Tidal duration is an efficient way of guesstimating how much water there is, at any given time of day, over a particular point & Average Area over the Channel Length is calculated with surface area of bay, change of bay elevation with time and average velocity in channel for flow.

How to calculate Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow?

The Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow formula is defined as the maximum velocity parameter influencing King’s dimensionless velocity and Inlet Channel Velocity during Tidal Cycle is calculated using Maximum Cross Sectional Average Velocity = (Tidal Prism Filling Bay*pi*Keulegan Constant for Non-sinusoidal Character)/(Tidal Duration*Average Area over the Channel Length). To calculate Maximum Cross-Sectionally Averaged Velocity given Tidal Prism of Non-sinusoidal Prototype Flow, you need Tidal Prism Filling Bay (P), Keulegan Constant for Non-sinusoidal Character (C), Tidal Duration (T) & Average Area over the Channel Length (A_avg). With our tool, you need to enter the respective value for Tidal Prism Filling Bay, Keulegan Constant for Non-sinusoidal Character, Tidal Duration & Average Area over the Channel Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum Cross Sectional Average Velocity?

In this formula, Maximum Cross Sectional Average Velocity uses Tidal Prism Filling Bay, Keulegan Constant for Non-sinusoidal Character, Tidal Duration & Average Area over the Channel Length. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Cross Sectional Average Velocity = (Tidal Prism Filling Bay*pi)/(Tidal Duration*Average Area over the Channel Length)

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