Duration of Inflow given Inlet Channel Velocity Calculator

✖Inlet Velocity is the velocity of the flow at state 1 or inlet.ⓘ Inlet Velocity [c₁]			+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 Sectional Average Velocity [V_m]			+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%

✖Duration of Inflow is the period over which a stream or river carries a consistent flow of water into a system.ⓘ Duration of Inflow given Inlet Channel Velocity [t]

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Duration of Inflow given Inlet Channel Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Duration of Inflow = (asin(Inlet Velocity/Maximum Cross Sectional Average Velocity)*Tidal Period)/(2*pi)
t = (asin(c₁/V_m)*T)/(2*pi)
This formula uses 1 Constants, 2 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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

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.
Inlet Velocity - (Measured in Meter per Second) - Inlet Velocity is the velocity of the flow at state 1 or inlet.
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 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
Maximum Cross Sectional Average Velocity: 4.1 Meter per Second --> 4.1 Meter per Second No Conversion Required
Tidal Period: 130 Second --> 0.0361111111111111 Hour (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (asin(c₁/V_m)*T)/(2*pi) --> (asin(4.01/4.1)*0.0361111111111111)/(2*pi)

Evaluating ... ...

t = 0.0078213454527563

STEP 3: Convert Result to Output's Unit

28.1568436299227 Second -->0.0078213454527563 Hour (Check conversion here)

FINAL ANSWER

0.0078213454527563 ≈ 0.007821 Hour <-- Duration of Inflow

(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 » Duration of Inflow 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

Duration of Inflow given Inlet Channel Velocity Formula

LaTeX Go

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

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 Duration of Inflow given Inlet Channel Velocity?

Duration of Inflow given Inlet Channel Velocity calculator uses Duration of Inflow = (asin(Inlet Velocity/Maximum Cross Sectional Average Velocity)*Tidal Period)/(2*pi) to calculate the Duration of Inflow, The Duration of Inflow given Inlet Channel Velocity formula is defined as the time taken for a substance to travel through an inlet channel given its velocity. Duration of Inflow is denoted by t symbol.

How to calculate Duration of Inflow given Inlet Channel Velocity using this online calculator? To use this online calculator for Duration of Inflow given Inlet Channel Velocity, enter Inlet Velocity (c₁), Maximum Cross Sectional Average Velocity (V_m) & Tidal Period (T) and hit the calculate button. Here is how the Duration of Inflow given Inlet Channel Velocity calculation can be explained with given input values -> 3.3E-7 = (asin(4.01/4.1)*130)/(2*pi).

FAQ

What is Duration of Inflow given Inlet Channel Velocity?

The Duration of Inflow given Inlet Channel Velocity formula is defined as the time taken for a substance to travel through an inlet channel given its velocity and is represented as t = (asin(c₁/V_m)*T)/(2*pi) or Duration of Inflow = (asin(Inlet Velocity/Maximum Cross Sectional Average Velocity)*Tidal Period)/(2*pi). Inlet Velocity is the velocity of the flow at state 1 or inlet, 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 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 Duration of Inflow given Inlet Channel Velocity?

The Duration of Inflow given Inlet Channel Velocity formula is defined as the time taken for a substance to travel through an inlet channel given its velocity is calculated using Duration of Inflow = (asin(Inlet Velocity/Maximum Cross Sectional Average Velocity)*Tidal Period)/(2*pi). To calculate Duration of Inflow given Inlet Channel Velocity, you need Inlet Velocity (c₁), Maximum Cross Sectional Average Velocity (V_m) & Tidal Period (T). With our tool, you need to enter the respective value for Inlet Velocity, Maximum Cross Sectional Average Velocity & Tidal Period and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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