Average depth given friction factor for propagation velocity of tide wave Calculator

✖Tidal Period is the time it takes 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 Flood current refers to the peak flow rate of water during the flood tide phase of a tidal cycle. It is the highest speed at which water moves in a tidal system as the tide rises.ⓘ Maximum Flood Current [V_max]			+10% -10%
✖Chezy's Constant is a dimensionless quantity used in the Chezy formula that estimates the mean flow velocity in open channel conduits.ⓘ Chezy's Constant [C]			+10% -10%
✖Friction factor in terms of degree is the measure of resistance of fluid flow in terms of degree.ⓘ Friction Factor in Terms of Degree [Θ_f]			+10% -10%

✖Average Depth of a set of objects is calculated by summing all the depths and dividing by the number of objects.ⓘ Average depth given friction factor for propagation velocity of tide wave [h']

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Formula

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Average depth given friction factor for propagation velocity of tide wave

Formula

`"h'" = ("T"*8*"[g]"*"V"_{"max"})/(6*pi^2*"C"^2*tan("Θ"_{"f"}/0.5))`

Example

`"26.00001m"=("130s"*8*"[g]"*"58.832m³/s")/(6*pi^2*("15")^2*tan("30°"/0.5))`

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Average depth given friction factor for propagation velocity of tide wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Depth = (Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5))
h' = (T*8*[g]*V_max)/(6*pi^2*C^2*tan(Θ_f/0.5))
This formula uses 2 Constants, 1 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Average Depth - (Measured in Meter) - Average Depth of a set of objects is calculated by summing all the depths and dividing by the number of objects.
Tidal Period - (Measured in Second) - Tidal Period is the time it takes 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.
Maximum Flood Current - (Measured in Cubic Meter per Second) - Maximum Flood current refers to the peak flow rate of water during the flood tide phase of a tidal cycle. It is the highest speed at which water moves in a tidal system as the tide rises.
Chezy's Constant - Chezy's Constant is a dimensionless quantity used in the Chezy formula that estimates the mean flow velocity in open channel conduits.
Friction Factor in Terms of Degree - (Measured in Radian) - Friction factor in terms of degree is the measure of resistance of fluid flow in terms of degree.

STEP 1: Convert Input(s) to Base Unit

Tidal Period: 130 Second --> 130 Second No Conversion Required
Maximum Flood Current: 58.832 Cubic Meter per Second --> 58.832 Cubic Meter per Second No Conversion Required
Chezy's Constant: 15 --> No Conversion Required
Friction Factor in Terms of Degree: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h' = (T*8*[g]*V_max)/(6*pi^2*C^2*tan(Θ_f/0.5)) --> (130*8*[g]*58.832)/(6*pi^2*15^2*tan(0.5235987755982/0.5))

Evaluating ... ...

h' = 26.0000082728785

STEP 3: Convert Result to Output's Unit

26.0000082728785 Meter --> No Conversion Required

FINAL ANSWER

26.0000082728785 ≈ 26.00001 Meter <-- Average Depth

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Tides » Tidal Rivers » River Navigation » Average depth given friction factor for propagation velocity of tide wave

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< 7 River Navigation Calculators

Chezy's friction factor given friction factor for propagation velocity of tide wave

Go Chezy's Constant = sqrt((Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Average Depth*tan(Friction Factor in Terms of Degree/0.5)))

Tidal period for friction factor and propagation velocity of tide wave

Go Tidal Period = (6*(pi^2)*(Chezy's Constant^2)*Average Depth*tan(Friction Factor in Terms of Degree/0.5))/(8*[g]*Maximum Flood Current)

Maximum flood current given friction factor for propagation velocity of tide wave

Go Maximum Flood Current = (6*pi^2*Chezy's Constant^2*Average Depth*tan(Friction Factor in Terms of Degree/0.5))/(Tidal Period*8*[g])

Average depth given friction factor for propagation velocity of tide wave

Go Average Depth = (Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5))

Friction factor for propagation velocity of tide wave

Go Friction Factor in Terms of Degree = 0.5*atan(Tidal Period*8*[g]*Maximum Flood Current/(6*pi^2*Chezy's Constant^2*Average Depth))

Propagation velocity of tide wave

Go Wave Speed = sqrt([g]*Average Depth*(1-tan(Friction Factor in Terms of Degree)^2))

Average depth given propagation velocity of tide wave

Go Average Depth = Wave Speed^2/([g]*(1-tan(Friction Factor in Terms of Degree)^2))

Average depth given friction factor for propagation velocity of tide wave Formula

Average Depth = (Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5))
h' = (T*8*[g]*V_max)/(6*pi^2*C^2*tan(Θ_f/0.5))

What is River Navigation?

When a stretch of river is made navigable, a lock is sometimes required to bypass an obstruction such as a rapid, dam, or mill weir – because of the change in river level across the obstacle.
In large scale river navigation improvements, weirs and locks are used together. A weir will increase the depth of a shallow stretch, and the required lock will either be built in a gap in the weir, or at the downstream end of an artificial cut which bypasses the weir and perhaps a shallow stretch of river below it. A river improved by these means is often called a Waterway or River Navigation.

How to Calculate Average depth given friction factor for propagation velocity of tide wave?

Average depth given friction factor for propagation velocity of tide wave calculator uses Average Depth = (Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5)) to calculate the Average Depth, The Average depth given friction factor for propagation velocity of tide wave formula is defined as parameter influencing prediction of water depth at each shallow channel reach at time of arrival of ship. Average Depth is denoted by h' symbol.

How to calculate Average depth given friction factor for propagation velocity of tide wave using this online calculator? To use this online calculator for Average depth given friction factor for propagation velocity of tide wave, enter Tidal Period (T), Maximum Flood Current (V_max), Chezy's Constant (C) & Friction Factor in Terms of Degree (Θ_f) and hit the calculate button. Here is how the Average depth given friction factor for propagation velocity of tide wave calculation can be explained with given input values -> 26.00001 = (130*8*[g]*58.832)/(6*pi^2*15^2*tan(0.5235987755982/0.5)).

FAQ

What is Average depth given friction factor for propagation velocity of tide wave?

The Average depth given friction factor for propagation velocity of tide wave formula is defined as parameter influencing prediction of water depth at each shallow channel reach at time of arrival of ship and is represented as h' = (T*8*[g]*V_max)/(6*pi^2*C^2*tan(Θ_f/0.5)) or Average Depth = (Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5)). Tidal Period is the time it takes 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, Maximum Flood current refers to the peak flow rate of water during the flood tide phase of a tidal cycle. It is the highest speed at which water moves in a tidal system as the tide rises, Chezy's Constant is a dimensionless quantity used in the Chezy formula that estimates the mean flow velocity in open channel conduits & Friction factor in terms of degree is the measure of resistance of fluid flow in terms of degree.

How to calculate Average depth given friction factor for propagation velocity of tide wave?

The Average depth given friction factor for propagation velocity of tide wave formula is defined as parameter influencing prediction of water depth at each shallow channel reach at time of arrival of ship is calculated using Average Depth = (Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5)). To calculate Average depth given friction factor for propagation velocity of tide wave, you need Tidal Period (T), Maximum Flood Current (V_max), Chezy's Constant (C) & Friction Factor in Terms of Degree (Θ_f). With our tool, you need to enter the respective value for Tidal Period, Maximum Flood Current, Chezy's Constant & Friction Factor in Terms of Degree 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 Average Depth?

In this formula, Average Depth uses Tidal Period, Maximum Flood Current, Chezy's Constant & Friction Factor in Terms of Degree. We can use 1 other way(s) to calculate the same, which is/are as follows -

Average Depth = Wave Speed^2/([g]*(1-tan(Friction Factor in Terms of Degree)^2))

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