Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle Calculator

✖King’s Dimensionless Velocity is measure of fluid flow independent of scale, expressed as the ratio of velocity to a characteristic speed.ⓘ King’s Dimensionless Velocity [V'_m]			+10% -10%
✖Ocean Tide Amplitude is the height difference between high and low tides, reflecting gravitational forces from the moon and sun.ⓘ Ocean Tide Amplitude [a_o]			+10% -10%
✖Surface Area of Bay is defined as a small body of water set off from the main body.ⓘ Surface Area of Bay [A_b]			+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%
✖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.ⓘ Tidal Period [T]			+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 during Tidal Cycle [V_m]

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Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Cross Sectional Average Velocity = (King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Average Area over the Channel Length*Tidal Period)
V_m = (V'_m*2*pi*a_o*A_b)/(A_avg*T)
This formula uses 1 Constants, 6 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.
King’s Dimensionless Velocity - King’s Dimensionless Velocity is measure of fluid flow independent of scale, expressed as the ratio of velocity to a characteristic speed.
Ocean Tide Amplitude - (Measured in Meter) - Ocean Tide Amplitude is the height difference between high and low tides, reflecting gravitational forces from the moon and sun.
Surface Area of Bay - (Measured in Square Meter) - Surface Area of Bay is defined as a small body of water set off from the main body.
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.
Tidal Period - (Measured in Second) - 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.

STEP 1: Convert Input(s) to Base Unit

King’s Dimensionless Velocity: 110 --> No Conversion Required
Ocean Tide Amplitude: 4 Meter --> 4 Meter No Conversion Required
Surface Area of Bay: 1.5001 Square Meter --> 1.5001 Square Meter No Conversion Required
Average Area over the Channel Length: 8 Square Meter --> 8 Square Meter No Conversion Required
Tidal Period: 130 Second --> 130 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = (V'_m*2*pi*a_o*A_b)/(A_avg*T) --> (110*2*pi*4*1.5001)/(8*130)

Evaluating ... ...

V_m = 3.98767188739619

STEP 3: Convert Result to Output's Unit

3.98767188739619 Meter per Second --> No Conversion Required

FINAL ANSWER

3.98767188739619 ≈ 3.987672 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 1 » Inlet Hydrodynamics » Inlet Currents and Tidal Elevations » Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

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NSS College of Engineering (NSSCE), Palakkad

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< Inlet Currents and Tidal Elevations Calculators

Change of Bay Elevation with Time for Flow through Inlet into Bay

LaTeX Go Change of Bay Elevation with Time = (Average Area over the Channel Length*Average Velocity in Channel for Flow)/Surface Area of Bay

Average Area over Channel Length for Flow through Inlet into Bay

LaTeX Go Average Area over the Channel Length = (Surface Area of Bay*Change of Bay Elevation with Time)/Average Velocity in Channel for Flow

Average Velocity in Channel for Flow through Inlet into Bay

LaTeX Go Average Velocity in Channel for Flow = (Surface Area of Bay*Change of Bay Elevation with Time)/Average Area over the Channel Length

Surface Area of Bay for Flow through Inlet into Bay

LaTeX Go Surface Area of Bay = (Average Velocity in Channel for Flow*Average Area over the Channel Length)/Change of Bay Elevation with Time

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle Formula

LaTeX Go

What are Seiches?

Seiches are standing waves or oscillations of the free surface of a body of water in a closed or semi-closed basin. These oscillations are of relatively long periods, extending from minutes in harbours and bays to over 10 hr in the Great Lakes. Any external perturbation to the lake or embayment can force an oscillation. In harbours, the forcing can be the result of short waves and wave groups at the harbour entrance. Examples include 30- to 400-sec wave-forced oscillations in the Los Angeles-Long Beach harbour (Seabergh 1985).

What is Inlet flow Pattern & Tidal Prism?

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.
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. The inter-tidal prism volume can be expressed by the relationship: P=H A, where H is the average tidal range and A is the average surface area of the basin.

How to Calculate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle?

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle calculator uses Maximum Cross Sectional Average Velocity = (King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Average Area over the Channel Length*Tidal Period) to calculate the Maximum Cross Sectional Average Velocity, The Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle formula is defined as a parameter influencing King’s dimensionless velocity. Maximum Cross Sectional Average Velocity is denoted by V_m symbol.

How to calculate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle using this online calculator? To use this online calculator for Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle, enter King’s Dimensionless Velocity (V'_m), Ocean Tide Amplitude (a_o), Surface Area of Bay (A_b), Average Area over the Channel Length (A_avg) & Tidal Period (T) and hit the calculate button. Here is how the Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle calculation can be explained with given input values -> 3.987406 = (110*2*pi*4*1.5001)/(8*130).

FAQ

What is Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle?

The Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle formula is defined as a parameter influencing King’s dimensionless velocity and is represented as V_m = (V'_m*2*pi*a_o*A_b)/(A_avg*T) or Maximum Cross Sectional Average Velocity = (King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Average Area over the Channel Length*Tidal Period). King’s Dimensionless Velocity is measure of fluid flow independent of scale, expressed as the ratio of velocity to a characteristic speed, Ocean Tide Amplitude is the height difference between high and low tides, reflecting gravitational forces from the moon and sun, Surface Area of Bay is defined as a small body of water set off from the main body, 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 & 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.

How to calculate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle?

The Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle formula is defined as a parameter influencing King’s dimensionless velocity is calculated using Maximum Cross Sectional Average Velocity = (King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Average Area over the Channel Length*Tidal Period). To calculate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle, you need King’s Dimensionless Velocity (V'_m), Ocean Tide Amplitude (a_o), Surface Area of Bay (A_b), Average Area over the Channel Length (A_avg) & Tidal Period (T). With our tool, you need to enter the respective value for King’s Dimensionless Velocity, Ocean Tide Amplitude, Surface Area of Bay, Average Area over the Channel Length & Tidal Period 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 King’s Dimensionless Velocity, Ocean Tide Amplitude, Surface Area of Bay, Average Area over the Channel Length & Tidal Period. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Cross Sectional Average Velocity = Inlet Velocity/sin(2*pi*Duration of Inflow/Tidal Period)

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