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

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Cross Sectional Average Velocity = (Tidal Prism Filling Bay*pi)/(Tidal Duration*Average Area over the Channel Length)
Vm = (P*pi)/(T*Aavg)
This formula uses 1 Constants, 4 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.
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
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
Vm = (P*pi)/(T*Aavg) --> (32*pi)/(2*8)
Evaluating ... ...
Vm = 6.28318530717959
STEP 3: Convert Result to Output's Unit
6.28318530717959 Meter per Second --> No Conversion Required
FINAL ANSWER
6.28318530717959 6.283185 Meter per Second <-- Maximum Cross Sectional Average Velocity
(Calculation completed in 00.020 seconds)

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Tidal Prism Calculators

Tidal Prism given Average Area over Channel Length
​ LaTeX ​ Go Tidal Prism Filling Bay = (Tidal Duration*Maximum Cross Sectional Average Velocity*Average Area over the Channel Length)/pi
Tidal Period given Maximum Instantaneous Ebb Tide Discharge and Tidal Prism
​ LaTeX ​ Go Tidal Duration = (Tidal Prism Filling Bay*pi)/Maximum Instantaneous Ebb Tide Discharge
Maximum Instantaneous Ebb Tide Discharge given Tidal Prism
​ LaTeX ​ Go Maximum Instantaneous Ebb Tide Discharge = Tidal Prism Filling Bay*pi/Tidal Duration
Tidal Prism filling Bay given Maximum Ebb Tide Discharge
​ LaTeX ​ Go Tidal Prism Filling Bay = Tidal Duration*Maximum Instantaneous Ebb Tide Discharge/pi

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

​LaTeX ​Go
Maximum Cross Sectional Average Velocity = (Tidal Prism Filling Bay*pi)/(Tidal Duration*Average Area over the Channel Length)
Vm = (P*pi)/(T*Aavg)

What is Tidal Prism?

A Tidal Prism 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. It can also be thought of as the volume of the incoming tide plus the river discharge.

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 backward 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 during Tidal Cycle given Tidal Prism?

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Tidal Prism calculator uses Maximum Cross Sectional Average Velocity = (Tidal Prism Filling Bay*pi)/(Tidal Duration*Average Area over the Channel Length) to calculate the Maximum Cross Sectional Average Velocity, The Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Tidal Prism 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 Vm symbol.

How to calculate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Tidal Prism using this online calculator? To use this online calculator for Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Tidal Prism, enter Tidal Prism Filling Bay (P), Tidal Duration (T) & Average Area over the Channel Length (Aavg) and hit the calculate button. Here is how the Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Tidal Prism calculation can be explained with given input values -> 6.283185 = (32*pi)/(63113904*8).

FAQ

What is Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Tidal Prism?
The Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Tidal Prism formula is defined as the maximum velocity parameter influencing King’s dimensionless velocity and Inlet Channel Velocity during Tidal Cycle and is represented as Vm = (P*pi)/(T*Aavg) or Maximum Cross Sectional Average Velocity = (Tidal Prism Filling Bay*pi)/(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, 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 during Tidal Cycle given Tidal Prism?
The Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Tidal Prism 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)/(Tidal Duration*Average Area over the Channel Length). To calculate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Tidal Prism, you need Tidal Prism Filling Bay (P), Tidal Duration (T) & Average Area over the Channel Length (Aavg). With our tool, you need to enter the respective value for Tidal Prism Filling Bay, 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, 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*Keulegan Constant for Non-sinusoidal Character)/(Tidal Duration*Average Area over the Channel Length)
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