Celerity of the Wave Calculator

Main Category	Engineering ↺
Engineering	Civil ↺
Civil	Hydraulics and Waterworks ↺
Hydraulics and Waterworks	Non-uniform Flow in Channels ↺
Non-uniform Flow in Channels	Surges in Open Channel Flow ↺
Surges in Open Channel Flow	Surge due to Sudden Increase of Flow ↺

✖Depth of Point 1 is the depth of point below the free surface in a static mass of liquid.ⓘ Depth of Point 1 [h ₁]			+10% -10%
✖Height is the distance between the lowest and highest points of a person standing upright.ⓘ Height [h]			+10% -10%

✖Celerity of the Wave is the addition to the normal water velocity of the channels. ⓘ Celerity of the Wave [C]

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Credits

Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1000+ more calculators!

Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 1000+ more calculators!

Celerity of the Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

celerity_of_the_wave = sqrt([g]*Depth of Point 1*(1+1.5*(Height/Depth of Point 1)+0.5*(Height/Depth of Point 1)*(Height/Depth of Point 1)))
C = sqrt([g]*h ₁*(1+1.5*(h/h ₁)+0.5*(h/h ₁)*(h/h ₁)))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665 Meter/Second²

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

Depth of Point 1 - Depth of Point 1 is the depth of point below the free surface in a static mass of liquid. (Measured in Meter)
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)

STEP 1: Convert Input(s) to Base Unit

Depth of Point 1: 10 Meter --> 10 Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = sqrt([g]*h ₁*(1+1.5*(h/h ₁)+0.5*(h/h ₁)*(h/h ₁))) --> sqrt([g]*10*(1+1.5*(12/10)+0.5*(12/10)*(12/10)))

Evaluating ... ...

C = 18.5793993444352

STEP 3: Convert Result to Output's Unit

18.5793993444352 Meter per Second --> No Conversion Required

FINAL ANSWER

18.5793993444352 Meter per Second <-- Celerity of the Wave

(Calculation completed in 00.016 seconds)

You are here

< 11 Other formulas that you can solve using the same Inputs

Volume of a Conical Frustum

volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go

Total Surface Area of a Cone

total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go

Lateral Surface Area of a Cone

lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go

Total Surface Area of a Cylinder

total_surface_area = 2*pi*Radius*(Height+Radius) Go

Lateral Surface Area of a Cylinder

lateral_surface_area = 2*pi*Radius*Height Go

Volume of a Circular Cone

volume = (1/3)*pi*(Radius)^2*Height Go

Area of a Trapezoid

area = ((Base A+Base B)/2)*Height Go

Volume of a Circular Cylinder

volume = pi*(Radius)^2*Height Go

Volume of a Pyramid

volume = (1/3)*Side^2*Height Go

Area of a Triangle when base and height are given

area = 1/2*Base*Height Go

Area of a Parallelogram when base and height are given

area = Base*Height Go

< 8 Other formulas that calculate the same Output

Celerity of the Wave when Velocity at depth1 is Given

celerity_of_the_wave = (Velocity_of the fluid at 1)/(((([g]*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))/Height)) Go

Celerity of the Wave

celerity_of_the_wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1)) Go

Celerity of the Wave

celerity_of_the_wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1)) Go

Celerity of the Wave when Velocity at Depth2 when surge height is negligible is Given

celerity_of_the_wave = (Height*[g])/(Velocity_of the fluid at 1-Velocity_of the fluid at 2) Go

Celerity of the Wave when Surge Height for surge height is negligible the depth of flow is Given

celerity_of_the_wave = Height*[g]/Velocity_of the fluid at 1 Go

Celerity of the Wave from Lagrange's Celerity Equation

celerity_of_the_wave = sqrt([g]*Depth of Point 1) Go

Celerity of the Wave when Absolute Velocity of Surges is Given

celerity_of_the_wave = Absolute Velocity of the Issuing Jet-Mean velocity Go

Celerity of the Wave

celerity_of_the_wave = sqrt([g]*Depth) Go

Celerity of the Wave Formula

What is Non Uniform Flow ?

Flow is said to be non-uniform, when there is a change in velocity of the flow at different points in a flowing fluid, for a given time. For example, the flow of liquids under pressure through long pipelines of varying diameter is referred to as non-uniform flow.

How to Calculate Celerity of the Wave?

Celerity of the Wave calculator uses celerity_of_the_wave = sqrt([g]*Depth of Point 1*(1+1.5*(Height/Depth of Point 1)+0.5*(Height/Depth of Point 1)*(Height/Depth of Point 1))) to calculate the Celerity of the Wave, The Celerity of the Wave is defined as sudden changes of flow depth creates Celerity (Wave Velocity) in the flow in addition to the normal water velocity of the channels. Celerity of the Wave and is denoted by C symbol.

How to calculate Celerity of the Wave using this online calculator? To use this online calculator for Celerity of the Wave, enter Depth of Point 1 (h ₁) and Height (h) and hit the calculate button. Here is how the Celerity of the Wave calculation can be explained with given input values -> 18.5794 = sqrt([g]*10*(1+1.5*(12/10)+0.5*(12/10)*(12/10))).

FAQ

What is Celerity of the Wave?

The Celerity of the Wave is defined as sudden changes of flow depth creates Celerity (Wave Velocity) in the flow in addition to the normal water velocity of the channels and is represented as C = sqrt([g]*h ₁*(1+1.5*(h/h ₁)+0.5*(h/h ₁)*(h/h ₁))) or celerity_of_the_wave = sqrt([g]*Depth of Point 1*(1+1.5*(Height/Depth of Point 1)+0.5*(Height/Depth of Point 1)*(Height/Depth of Point 1))). Depth of Point 1 is the depth of point below the free surface in a static mass of liquid and Height is the distance between the lowest and highest points of a person standing upright.

How to calculate Celerity of the Wave?

The Celerity of the Wave is defined as sudden changes of flow depth creates Celerity (Wave Velocity) in the flow in addition to the normal water velocity of the channels is calculated using celerity_of_the_wave = sqrt([g]*Depth of Point 1*(1+1.5*(Height/Depth of Point 1)+0.5*(Height/Depth of Point 1)*(Height/Depth of Point 1))). To calculate Celerity of the Wave, you need Depth of Point 1 (h ₁) and Height (h). With our tool, you need to enter the respective value for Depth of Point 1 and Height 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 Celerity of the Wave?

In this formula, Celerity of the Wave uses Depth of Point 1 and Height. We can use 8 other way(s) to calculate the same, which is/are as follows -

celerity_of_the_wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))
celerity_of_the_wave = (Height*[g])/(Velocity_of the fluid at 1-Velocity_of the fluid at 2)
celerity_of_the_wave = sqrt([g]*Depth of Point 1)
celerity_of_the_wave = sqrt(([g]*Depth of Point 2*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))
celerity_of_the_wave = (Velocity_of the fluid at 1)/(((([g]*(Depth of Point 2+Depth of Point 1))/(2*Depth of Point 1))/Height))
celerity_of_the_wave = Height*[g]/Velocity_of the fluid at 1
celerity_of_the_wave = Absolute Velocity of the Issuing Jet-Mean velocity
celerity_of_the_wave = sqrt([g]*Depth)

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