Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity Calculator

✖Inlet Velocity is the velocity of the flow at state 1 or inlet.ⓘ Inlet Velocity [c₁]			+10% -10%
✖Duration of Inflow is the period over which a stream or river carries a consistent flow of water into a system.ⓘ Duration of Inflow [t]			+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 given Inlet Channel Velocity [V_m]

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Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Cross Sectional Average Velocity = Inlet Velocity/sin(2*pi*Duration of Inflow/Tidal Period)
V_m = c₁/sin(2*pi*t/T)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

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.
Inlet Velocity - (Measured in Meter per Second) - Inlet Velocity is the velocity of the flow at state 1 or inlet.
Duration of Inflow - (Measured in Hour) - Duration of Inflow is the period over which a stream or river carries a consistent flow of water into a system.
Tidal Period - (Measured in Hour) - 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

Inlet Velocity: 4.01 Meter per Second --> 4.01 Meter per Second No Conversion Required
Duration of Inflow: 1.2 Hour --> 1.2 Hour No Conversion Required
Tidal Period: 130 Second --> 0.0361111111111111 Hour (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = c₁/sin(2*pi*t/T) --> 4.01/sin(2*pi*1.2/0.0361111111111111)

Evaluating ... ...

V_m = 4.03945215423137

STEP 3: Convert Result to Output's Unit

4.03945215423137 Meter per Second --> No Conversion Required

FINAL ANSWER

4.03945215423137 ≈ 4.039452 Meter per Second <-- Maximum Cross Sectional Average Velocity

(Calculation completed in 00.020 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 given Inlet Channel Velocity

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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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 given Inlet Channel Velocity Formula

LaTeX Go

Maximum Cross Sectional Average Velocity = Inlet Velocity/sin(2*pi*Duration of Inflow/Tidal Period)
V_m = c₁/sin(2*pi*t/T)

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 given Inlet Channel Velocity?

Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity calculator uses Maximum Cross Sectional Average Velocity = Inlet Velocity/sin(2*pi*Duration of Inflow/Tidal Period) to calculate the Maximum Cross Sectional Average Velocity, The Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity 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 during Tidal Cycle given Inlet Channel Velocity using this online calculator? To use this online calculator for Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity, enter Inlet Velocity (c₁), Duration of Inflow (t) & Tidal Period (T) and hit the calculate button. Here is how the Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity calculation can be explained with given input values -> 0.856243 = 4.01/sin(2*pi*4320/130).

FAQ

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

The Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity 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 = c₁/sin(2*pi*t/T) or Maximum Cross Sectional Average Velocity = Inlet Velocity/sin(2*pi*Duration of Inflow/Tidal Period). Inlet Velocity is the velocity of the flow at state 1 or inlet, Duration of Inflow is the period over which a stream or river carries a consistent flow of water into a system & 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 given Inlet Channel Velocity?

The Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity 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 = Inlet Velocity/sin(2*pi*Duration of Inflow/Tidal Period). To calculate Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity, you need Inlet Velocity (c₁), Duration of Inflow (t) & Tidal Period (T). With our tool, you need to enter the respective value for Inlet Velocity, Duration of Inflow & 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 Inlet Velocity, Duration of Inflow & Tidal Period. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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