Inlet Channel Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inlet Velocity = Maximum Cross Sectional Average Velocity*sin(2*pi*Duration of Inflow/Tidal Period)
c1 = Vm*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
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.
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 an efficient way of guesstimating how much water there is, at any given time of day, over a particular point.
STEP 1: Convert Input(s) to Base Unit
Maximum Cross Sectional Average Velocity: 4.1 Meter per Second --> 4.1 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
c1 = Vm*sin(2*pi*t/T) --> 4.1*sin(2*pi*1.2/0.0361111111111111)
Evaluating ... ...
c1 = 4.07010638380204
STEP 3: Convert Result to Output's Unit
4.07010638380204 Meter per Second --> No Conversion Required
FINAL ANSWER
4.07010638380204 4.070106 Meter per Second <-- Inlet Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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25 Inlet Currents and Tidal Elevations Calculators

Ocean Tide Amplitude using King's Dimensionless Velocity
Go Ocean Tide Amplitude = (Average Area over the Channel Length*Maximum Cross Sectional Average Velocity*Tidal Period)/ (King’s Dimensionless Velocity*2*pi*Surface Area of Bay)
Average Area over Channel Length using King's Dimensionless Velocity
Go Average Area over the Channel Length = (King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude*Surface Area of Bay)/(Tidal Period*Maximum Cross Sectional Average Velocity)
Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle
Go 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)
Surface Area of Bay using King's Dimensionless Velocity
Go Surface Area of Bay = (Average Area over the Channel Length*Tidal Period*Maximum Cross Sectional Average Velocity)/(King’s Dimensionless Velocity*2*pi*Ocean Tide Amplitude)
Tidal Period using King's Dimensionless Velocity
Go Tidal Period = (2*pi*Ocean Tide Amplitude*Surface Area of Bay*King’s Dimensionless Velocity)/(Average Area over the Channel Length*Maximum Cross Sectional Average Velocity)
King's Dimensionless Velocity
Go King’s Dimensionless Velocity = (Average Area over the Channel Length*Tidal Period*Maximum Cross Sectional Average Velocity)/(2*pi*Ocean Tide Amplitude*Surface Area of Bay)
Inlet Hydraulic Radius given Inlet Impedance
Go Hydraulic Radius = (Dimensionless Parameter*Inlet Length)/(4*(Inlet Impedance-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient))
Entrance Energy Loss Coefficient given Inlet Impedance
Go Entrance Energy Loss Coefficient = Inlet Impedance-Exit Energy Loss Coefficient-(Dimensionless Parameter*Inlet Length/(4*Hydraulic Radius))
Darcy - Weisbach Friction Term given Inlet Impedance
Go Dimensionless Parameter = (4*Hydraulic Radius*(Inlet Impedance-Entrance Energy Loss Coefficient-Exit Energy Loss Coefficient))/Inlet Length
Exit Energy Loss Coefficient given Inlet Impedance
Go Exit Energy Loss Coefficient = Inlet Impedance-Entrance Energy Loss Coefficient-(Dimensionless Parameter*Inlet Length/(4*Hydraulic Radius))
Inlet Impedance
Go Inlet Impedance = Entrance Energy Loss Coefficient+Exit Energy Loss Coefficient+(Dimensionless Parameter*Inlet Length/(4*Hydraulic Radius))
Inlet Length given Inlet Impedance
Go Inlet Length = 4*Hydraulic Radius*(Inlet Impedance-Exit Energy Loss Coefficient-Entrance Energy Loss Coefficient)/Dimensionless Parameter
Duration of Inflow given Inlet Channel Velocity
Go Duration of Inflow = (asin(Inlet Velocity/Maximum Cross Sectional Average Velocity)*Tidal Period)/(2*pi)
Maximum Cross-Sectionally Averaged Velocity during Tidal Cycle given Inlet Channel Velocity
Go Maximum Cross Sectional Average Velocity = Inlet Velocity/sin(2*pi*Duration of Inflow/Tidal Period)
Inlet Channel Velocity
Go Inlet Velocity = Maximum Cross Sectional Average Velocity*sin(2*pi*Duration of Inflow/Tidal Period)
Change of Bay Elevation with Time for Flow through Inlet into Bay
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
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
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
Go Surface Area of Bay = (Average Velocity in Channel for Flow*Average Area over the Channel Length)/Change of Bay Elevation with Time
Inlet Friction Coefficient Parameter given Keulegan Repletion Coefficient
Go King’s 1st Inlet Friction Coefficient = sqrt(1/King’s Inlet Friction Coefficient)/(Keulegan Repletion Coefficient [dimensionless])
Keulegan Repletion Coefficient
Go Keulegan Repletion Coefficient [dimensionless] = 1/King’s 1st Inlet Friction Coefficient*sqrt(1/King’s Inlet Friction Coefficient)
Inlet Friction Coefficient given Keulegan Repletion Coefficient
Go King’s Inlet Friction Coefficient = 1/(Keulegan Repletion Coefficient [dimensionless]*King’s 1st Inlet Friction Coefficient)^2
Hydraulic Radius given Dimensionless Parameter
Go Hydraulic Radius of the Channel = (116*Manning’s Roughness Coefficient^2/Dimensionless Parameter)^3
Surface Area of Bay given Tidal Prism Filling Bay
Go Surface Area of Bay = Tidal Prism Filling Bay/(2*Bay Tide Amplitude)
Bay Tide Amplitude given Tidal Prism Filling Bay
Go Bay Tide Amplitude = Tidal Prism Filling Bay/(2*Surface Area of Bay)

Inlet Channel Velocity Formula

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

What is Inlet flow patterns?

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 Inlet Channel Velocity?

Inlet Channel Velocity calculator uses Inlet Velocity = Maximum Cross Sectional Average Velocity*sin(2*pi*Duration of Inflow/Tidal Period) to calculate the Inlet Velocity, The Inlet Channel Velocity formula is defined as the representation of a first approximation channel velocity over time. Inlet Velocity is denoted by c1 symbol.

How to calculate Inlet Channel Velocity using this online calculator? To use this online calculator for Inlet Channel Velocity, enter Maximum Cross Sectional Average Velocity (Vm), Duration of Inflow (t) & Tidal Period (T) and hit the calculate button. Here is how the Inlet Channel Velocity calculation can be explained with given input values -> 4.070106 = 4.1*sin(2*pi*4320/130).

FAQ

What is Inlet Channel Velocity?
The Inlet Channel Velocity formula is defined as the representation of a first approximation channel velocity over time and is represented as c1 = Vm*sin(2*pi*t/T) or Inlet Velocity = Maximum Cross Sectional Average Velocity*sin(2*pi*Duration of Inflow/Tidal Period). 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, Duration of Inflow is the period over which a stream or river carries a consistent flow of water into a system & Tidal Period is an efficient way of guesstimating how much water there is, at any given time of day, over a particular point.
How to calculate Inlet Channel Velocity?
The Inlet Channel Velocity formula is defined as the representation of a first approximation channel velocity over time is calculated using Inlet Velocity = Maximum Cross Sectional Average Velocity*sin(2*pi*Duration of Inflow/Tidal Period). To calculate Inlet Channel Velocity, you need Maximum Cross Sectional Average Velocity (Vm), Duration of Inflow (t) & Tidal Period (T). With our tool, you need to enter the respective value for Maximum Cross Sectional Average 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.
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