Head loss in Reach Calculator

✖Static Heads at End Sections at (1) is denoted by the symbol Z₁.ⓘ Static Heads at End Sections at (1) [Z₁]			+10% -10%
✖Height Above Channel Slope at 1, channel slope is how far a channel drops over a horizontal distance.ⓘ Height above Channel Slope at 1 [y₁]			+10% -10%
✖Mean Velocity at End Sections at (1) is denoted by V₁ symbol.ⓘ Mean Velocity at End Sections at (1) [V₁]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Static Head at End Sections at (2) is the height of a column of water at rest that would produce a given pressure.ⓘ Static Head at End Sections at (2) [Z₂]			+10% -10%
✖Height above Channel Slope at 2, channel slope is how far a channel drops over a horizontal distance.ⓘ Height above Channel Slope at 2 [y₂]			+10% -10%
✖Mean Velocity at End Sections at (2) is the time average of the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from fixed time.ⓘ Mean Velocity at End Sections at (2) [V₂]			+10% -10%

✖Head Loss in Reach is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.ⓘ Head loss in Reach [h_l]

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Formula

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Head loss in Reach

Formula

`"h"_{"l"} = "Z"_{"1"}+"y"_{"1"}+("V"_{"1"}^2/(2*"g"))-"Z"_{"2"}-"y"_{"2"}-"V"_{"2"}^2/(2*"g")`

Example

`"2.469388m"="11.5m"+"14m"+(("10m/s")^2/(2*"9.8m/s²"))-"11m"-"13m"-("9m/s")^2/(2*"9.8m/s²")`

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Download Indirect Methods of Streamflow Measurement Formulas PDF

Head loss in Reach Solution

STEP 0: Pre-Calculation Summary

Formula Used

Head Loss in Reach = Static Heads at End Sections at (1)+Height above Channel Slope at 1+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity))-Static Head at End Sections at (2)-Height above Channel Slope at 2-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity)
h_l = Z₁+y₁+(V₁^2/(2*g))-Z₂-y₂-V₂^2/(2*g)
This formula uses 8 Variables

Variables Used

Head Loss in Reach - (Measured in Meter) - Head Loss in Reach is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.
Static Heads at End Sections at (1) - (Measured in Meter) - Static Heads at End Sections at (1) is denoted by the symbol Z₁.
Height above Channel Slope at 1 - (Measured in Meter) - Height Above Channel Slope at 1, channel slope is how far a channel drops over a horizontal distance.
Mean Velocity at End Sections at (1) - (Measured in Meter per Second) - Mean Velocity at End Sections at (1) is denoted by V₁ symbol.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Static Head at End Sections at (2) - (Measured in Meter) - Static Head at End Sections at (2) is the height of a column of water at rest that would produce a given pressure.
Height above Channel Slope at 2 - (Measured in Meter) - Height above Channel Slope at 2, channel slope is how far a channel drops over a horizontal distance.
Mean Velocity at End Sections at (2) - (Measured in Meter per Second) - Mean Velocity at End Sections at (2) is the time average of the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from fixed time.

STEP 1: Convert Input(s) to Base Unit

Static Heads at End Sections at (1): 11.5 Meter --> 11.5 Meter No Conversion Required
Height above Channel Slope at 1: 14 Meter --> 14 Meter No Conversion Required
Mean Velocity at End Sections at (1): 10 Meter per Second --> 10 Meter per Second No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Static Head at End Sections at (2): 11 Meter --> 11 Meter No Conversion Required
Height above Channel Slope at 2: 13 Meter --> 13 Meter No Conversion Required
Mean Velocity at End Sections at (2): 9 Meter per Second --> 9 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_l = Z₁+y₁+(V₁^2/(2*g))-Z₂-y₂-V₂^2/(2*g) --> 11.5+14+(10^2/(2*9.8))-11-13-9^2/(2*9.8)

Evaluating ... ...

h_l = 2.46938775510204

STEP 3: Convert Result to Output's Unit

2.46938775510204 Meter --> No Conversion Required

FINAL ANSWER

2.46938775510204 ≈ 2.469388 Meter <-- Head Loss in Reach

(Calculation completed in 00.020 seconds)

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Head loss in Reach

Go Head Loss in Reach = Static Heads at End Sections at (1)+Height above Channel Slope at 1+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity))-Static Head at End Sections at (2)-Height above Channel Slope at 2-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity)

Frictional Loss

Go Frictional Loss = (Height above Datum at Section 1-Height above Datum at Section 2)+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity)-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity))-Eddy Loss

Eddy Loss

Go Eddy Loss = (Height above Datum at Section 1-Height above Datum at Section 2)+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity)-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity))-Frictional Loss

Head loss in Reach Formula

What is Slope Area method for Uniform Flow in Open Channel?

In Slope Area method for Uniform Flow in Open Channel discharge is computed on the basis of a uniform flow equation involving channel characteristics, water surface profile and a roughness coefficient. The drop in water surface profile for a uniform reach of channel represents losses caused by bed roughness.

What is the difference between Open Channel Flow and Closed Channel Flow?

The major difference is that the flow in a closed conduit is influenced by the pressure in the line whereas same in an open channel it is only by gravity. And in the case of closed conduit fluid does not come in contact with the atmosphere, whereas in open channel it is in touch with the atmosphere.

How to Calculate Head loss in Reach?

Head loss in Reach calculator uses Head Loss in Reach = Static Heads at End Sections at (1)+Height above Channel Slope at 1+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity))-Static Head at End Sections at (2)-Height above Channel Slope at 2-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity) to calculate the Head Loss in Reach, The Head loss in Reach formula is defined as the potential energy that is converted to kinetic energy. Head losses are due to the frictional resistance of the piping system pipe, valves, fittings, entrance, and exit losses. Head Loss in Reach is denoted by h_l symbol.

How to calculate Head loss in Reach using this online calculator? To use this online calculator for Head loss in Reach, enter Static Heads at End Sections at (1) (Z₁), Height above Channel Slope at 1 (y₁), Mean Velocity at End Sections at (1) (V₁), Acceleration due to Gravity (g), Static Head at End Sections at (2) (Z₂), Height above Channel Slope at 2 (y₂) & Mean Velocity at End Sections at (2) (V₂) and hit the calculate button. Here is how the Head loss in Reach calculation can be explained with given input values -> 2.969388 = 11.5+14+(10^2/(2*9.8))-11-13-9^2/(2*9.8).

FAQ

What is Head loss in Reach?

The Head loss in Reach formula is defined as the potential energy that is converted to kinetic energy. Head losses are due to the frictional resistance of the piping system pipe, valves, fittings, entrance, and exit losses and is represented as h_l = Z₁+y₁+(V₁^2/(2*g))-Z₂-y₂-V₂^2/(2*g) or Head Loss in Reach = Static Heads at End Sections at (1)+Height above Channel Slope at 1+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity))-Static Head at End Sections at (2)-Height above Channel Slope at 2-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity). Static Heads at End Sections at (1) is denoted by the symbol Z₁, Height Above Channel Slope at 1, channel slope is how far a channel drops over a horizontal distance, Mean Velocity at End Sections at (1) is denoted by V₁ symbol, Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Static Head at End Sections at (2) is the height of a column of water at rest that would produce a given pressure, Height above Channel Slope at 2, channel slope is how far a channel drops over a horizontal distance & Mean Velocity at End Sections at (2) is the time average of the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from fixed time.

How to calculate Head loss in Reach?

The Head loss in Reach formula is defined as the potential energy that is converted to kinetic energy. Head losses are due to the frictional resistance of the piping system pipe, valves, fittings, entrance, and exit losses is calculated using Head Loss in Reach = Static Heads at End Sections at (1)+Height above Channel Slope at 1+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity))-Static Head at End Sections at (2)-Height above Channel Slope at 2-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity). To calculate Head loss in Reach, you need Static Heads at End Sections at (1) (Z₁), Height above Channel Slope at 1 (y₁), Mean Velocity at End Sections at (1) (V₁), Acceleration due to Gravity (g), Static Head at End Sections at (2) (Z₂), Height above Channel Slope at 2 (y₂) & Mean Velocity at End Sections at (2) (V₂). With our tool, you need to enter the respective value for Static Heads at End Sections at (1), Height above Channel Slope at 1, Mean Velocity at End Sections at (1), Acceleration due to Gravity, Static Head at End Sections at (2), Height above Channel Slope at 2 & Mean Velocity at End Sections at (2) 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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