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)
Vm = 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
Vm = c1/sin(2*pi*t/T) --> 4.01/sin(2*pi*1.2/0.0361111111111111)
Evaluating ... ...
Vm = 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 00.004 seconds)

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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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)
Vm = c1/sin(2*pi*t/T)

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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?

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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 Vm 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 Vm = 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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