Energy loss in Hydraulic Jump Calculator

✖Depth of Point 2 for Rectangular Channel is the depth of point below the free surface in a static mass of liquid.ⓘ Depth of Point 2 for Rectangular Channel [d_2R]			+10% -10%
✖Depth of Point 1 for Rectangular Channel is the depth of point below the free surface in a static mass of liquid.ⓘ Depth of Point 1 for Rectangular Channel [d_1R]			+10% -10%

✖Energy loss for Rectangular Channel is the loss of energy of flowing water.ⓘ Energy loss in Hydraulic Jump [S_r]

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Formula

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Energy loss in Hydraulic Jump

Formula

`"S"_{"r"} = (("d"_{"2R"}-"d"_{"1R"})^3)/(4*"d"_{"1R"}*"d"_{"2R"})`

Example

`"0.000189J"=(("1.2m"-"1.1m")^3)/(4*"1.1m"*"1.2m")`

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Download Non-uniform Flow in Channels Formula PDF

Energy loss in Hydraulic Jump Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy loss for Rectangular Channel = ((Depth of Point 2 for Rectangular Channel-Depth of Point 1 for Rectangular Channel)^3)/(4*Depth of Point 1 for Rectangular Channel*Depth of Point 2 for Rectangular Channel)
S_r = ((d_2R-d_1R)^3)/(4*d_1R*d_2R)
This formula uses 3 Variables

Variables Used

Energy loss for Rectangular Channel - (Measured in Joule) - Energy loss for Rectangular Channel is the loss of energy of flowing water.
Depth of Point 2 for Rectangular Channel - (Measured in Meter) - Depth of Point 2 for Rectangular Channel is the depth of point below the free surface in a static mass of liquid.
Depth of Point 1 for Rectangular Channel - (Measured in Meter) - Depth of Point 1 for Rectangular Channel is the depth of point below the free surface in a static mass of liquid.

STEP 1: Convert Input(s) to Base Unit

Depth of Point 2 for Rectangular Channel: 1.2 Meter --> 1.2 Meter No Conversion Required
Depth of Point 1 for Rectangular Channel: 1.1 Meter --> 1.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_r = ((d_2R-d_1R)^3)/(4*d_1R*d_2R) --> ((1.2-1.1)^3)/(4*1.1*1.2)

Evaluating ... ...

S_r = 0.000189393939393939

STEP 3: Convert Result to Output's Unit

0.000189393939393939 Joule --> No Conversion Required

FINAL ANSWER

0.000189393939393939 ≈ 0.000189 Joule <-- Energy loss for Rectangular Channel

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 11 Hydraulic Jump in Rectangular Channel Calculators

Conjugate Depth y1 given Discharge per Unit Width of Channel

Go Depth of Point 1 for Rectangular Channel = 0.5*Depth of Point 2 for Rectangular Channel*(-1+sqrt(1+(8*(Discharge per Unit Width^2))/([g]*Depth of Point 2 for Rectangular Channel*Depth of Point 2 for Rectangular Channel*Depth of Point 2 for Rectangular Channel)))

Conjugate Depth y2 given Discharge per Unit Width of Channel

Go Depth of Point 2 for Rectangular Channel = 0.5*Depth of Point 1 for Rectangular Channel*(-1+sqrt(1+(8*(Discharge per Unit Width^2))/([g]*Depth of Point 1 for Rectangular Channel*Depth of Point 1 for Rectangular Channel*Depth of Point 1 for Rectangular Channel)))

Discharge Per Unit Width of Channel given Conjugate Depths

Go Discharge per Unit Width = sqrt((Depth of Point 1 for Rectangular Channel*Depth of Point 2 for Rectangular Channel*(Depth of Point 1 for Rectangular Channel+Depth of Point 2 for Rectangular Channel))*[g]*0.5)

Energy Loss in Hydraulic Jump given Mean Velocities

Go Energy loss for Rectangular Channel = ((Depth of Point 2 for Rectangular Channel-Depth of Point 1 for Rectangular Channel)^3)/(4*Depth of Point 1 for Rectangular Channel*Depth of Point 2 for Rectangular Channel)*Mean velocity

Energy loss in Hydraulic Jump

Conjugate Depth y2 given Critical Depth

Go Depth of Point 2 for Rectangular Channel = 0.5*Depth of Point 1 for Rectangular Channel*(-1+sqrt(1+(8*(Critical Depth of Weir^3))/(Depth of Point 1 for Rectangular Channel^3)))

Conjugate Depth y1 given Critical Depth

Go Depth of Point 1 for Rectangular Channel = 0.5*Depth of Point 2 for Rectangular Channel*(-1+sqrt(1+(8*(Critical Depth of Weir^3))/(Depth of Point 2 for Rectangular Channel^3)))

Conjugate Depth y1 given Froude Number Fr1

Go Depth of Point 1 for Rectangular Channel = Depth of Point 2 for Rectangular Channel/(0.5*(-1+sqrt(1+(8*(Froude Number^2)))))

Conjugate Depth y2 given Froude Number Fr1

Go Depth of Point 2 for Rectangular Channel = Depth of Point 1 for Rectangular Channel*(0.5*(-1+sqrt(1+(8*(Froude Number^2)))))

Conjugate Depth y1 given Froude Number Fr2

Go Depth of Point 1 for Rectangular Channel = Depth of Point 2 for Rectangular Channel*(0.5*(-1+sqrt(1+(8*(Froude Number^2)))))

Conjugate Depth y2 given Froude Number Fr2

Go Depth of Point 2 for Rectangular Channel = Depth of Point 1 for Rectangular Channel/(0.5*(-1+sqrt(1+(8*(Froude Number^2)))))

Energy loss in Hydraulic Jump Formula

What is Hydraulic Jump?

A hydraulic jump is a phenomenon in the science of hydraulics which is frequently observed in open channel flow such as rivers and spillways. When liquid at high velocity discharges into a zone of lower velocity, a rather abrupt rise occurs in the liquid surface.

How to Calculate Energy loss in Hydraulic Jump?

Energy loss in Hydraulic Jump calculator uses Energy loss for Rectangular Channel = ((Depth of Point 2 for Rectangular Channel-Depth of Point 1 for Rectangular Channel)^3)/(4*Depth of Point 1 for Rectangular Channel*Depth of Point 2 for Rectangular Channel) to calculate the Energy loss for Rectangular Channel, The Energy loss in Hydraulic Jump is defined as amount of energy lost in the gradually varied flow in the channel of stream. Energy loss for Rectangular Channel is denoted by S_r symbol.

How to calculate Energy loss in Hydraulic Jump using this online calculator? To use this online calculator for Energy loss in Hydraulic Jump, enter Depth of Point 2 for Rectangular Channel (d_2R) & Depth of Point 1 for Rectangular Channel (d_1R) and hit the calculate button. Here is how the Energy loss in Hydraulic Jump calculation can be explained with given input values -> 0.000189 = ((1.2-1.1)^3)/(4*1.1*1.2).

FAQ

What is Energy loss in Hydraulic Jump?

The Energy loss in Hydraulic Jump is defined as amount of energy lost in the gradually varied flow in the channel of stream and is represented as S_r = ((d_2R-d_1R)^3)/(4*d_1R*d_2R) or Energy loss for Rectangular Channel = ((Depth of Point 2 for Rectangular Channel-Depth of Point 1 for Rectangular Channel)^3)/(4*Depth of Point 1 for Rectangular Channel*Depth of Point 2 for Rectangular Channel). Depth of Point 2 for Rectangular Channel is the depth of point below the free surface in a static mass of liquid & Depth of Point 1 for Rectangular Channel is the depth of point below the free surface in a static mass of liquid.

How to calculate Energy loss in Hydraulic Jump?

The Energy loss in Hydraulic Jump is defined as amount of energy lost in the gradually varied flow in the channel of stream is calculated using Energy loss for Rectangular Channel = ((Depth of Point 2 for Rectangular Channel-Depth of Point 1 for Rectangular Channel)^3)/(4*Depth of Point 1 for Rectangular Channel*Depth of Point 2 for Rectangular Channel). To calculate Energy loss in Hydraulic Jump, you need Depth of Point 2 for Rectangular Channel (d_2R) & Depth of Point 1 for Rectangular Channel (d_1R). With our tool, you need to enter the respective value for Depth of Point 2 for Rectangular Channel & Depth of Point 1 for Rectangular Channel 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 Energy loss for Rectangular Channel?

In this formula, Energy loss for Rectangular Channel uses Depth of Point 2 for Rectangular Channel & Depth of Point 1 for Rectangular Channel. We can use 1 other way(s) to calculate the same, which is/are as follows -

Energy loss for Rectangular Channel = ((Depth of Point 2 for Rectangular Channel-Depth of Point 1 for Rectangular Channel)^3)/(4*Depth of Point 1 for Rectangular Channel*Depth of Point 2 for Rectangular Channel)*Mean velocity

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