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Head loss in Reach Formula

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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. Check FAQs

h l = Z 1 + y 1 + (\frac{{V 1}^{2}}{2 \cdot g}) - Z 2 - y 2 - \frac{{V 2}^{2}}{2 \cdot g}

h_l - Head Loss in Reach?Z₁ - Static Heads at End Sections at (1)?y₁ - Height above Channel Slope at 1?V₁ - Mean Velocity at End Sections at (1)?g - Acceleration due to Gravity?Z₂ - Static Head at End Sections at (2)?y₂ - Height above Channel Slope at 2?V₂ - Mean Velocity at End Sections at (2)?

Head loss in Reach Example

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Here is how the Head loss in Reach equation looks like with Values.

Here is how the Head loss in Reach equation looks like with Units.

Here is how the Head loss in Reach equation looks like.

2.4694 = 11.5 + 14 + (\frac{10^{2}}{2 \cdot 9.8}) - 11 - 13 - \frac{9^{2}}{2 \cdot 9.8}

2.4694m = 11.5m + 14m + (\frac{{10m/s}^{2}}{2 \cdot 9.8m/s²}) - 11m - 13m - \frac{{9m/s}^{2}}{2 \cdot 9.8m/s²}

2.4694 = 11.5 + 14 + (\frac{10^{2}}{2 \cdot 9.8}) - 11 - 13 - \frac{9^{2}}{2 \cdot 9.8}

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Head loss in Reach Solution

Follow our step by step solution on how to calculate Head loss in Reach?

FIRST Step Consider the formula

h l = Z 1 + y 1 + (\frac{{V 1}^{2}}{2 \cdot g}) - Z 2 - y 2 - \frac{{V 2}^{2}}{2 \cdot g}

Next Step Substitute values of Variables

∴

h l = 11.5m + 14m + (\frac{{10m/s}^{2}}{2 \cdot 9.8m/s²}) - 11m - 13m - \frac{{9m/s}^{2}}{2 \cdot 9.8m/s²}

Next Step Prepare to Evaluate

∴

h l = 11.5 + 14 + (\frac{10^{2}}{2 \cdot 9.8}) - 11 - 13 - \frac{9^{2}}{2 \cdot 9.8}

Next Step Evaluate

∴

h l = 2.46938775510204m

LAST Step Rounding Answer

∴

h l = 2.4694m

Head loss in Reach Formula Elements

Variables

Head Loss in Reach

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.

Symbol: h_l

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head Loss in Reach

Static Heads at End Sections at (1)

Static Heads at End Sections at (1) is denoted by the symbol Z₁.

Symbol: Z₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Static Heads at End Sections at (1)

Height above Channel Slope at 1

Height Above Channel Slope at 1, channel slope is how far a channel drops over a horizontal distance.

Symbol: y₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height above Channel Slope at 1

Mean Velocity at End Sections at (1)

Mean Velocity at End Sections at (1) is denoted by V₁ symbol.

Symbol: V₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity at End Sections at (1)

Acceleration due to Gravity

Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Static Head at End Sections at (2)

Static Head at End Sections at (2) is the height of a column of water at rest that would produce a given pressure.

Symbol: Z₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Static Head at End Sections at (2)

Height above Channel Slope at 2

Height above Channel Slope at 2, channel slope is how far a channel drops over a horizontal distance.

Symbol: y₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height above Channel Slope at 2

Mean Velocity at End Sections at (2)

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.

Symbol: V₂

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity at End Sections at (2)

Other formulas in Slope Area Method category

Go Frictional Loss

h f = (h 1 - h 2) + (\frac{{V 1}^{2}}{2 \cdot g} - \frac{{V 2}^{2}}{2 \cdot g}) - h e

Go Eddy Loss

h e = (h 1 - h 2) + (\frac{{V 1}^{2}}{2 \cdot g} - \frac{{V 2}^{2}}{2 \cdot g}) - h f

How to Evaluate Head loss in Reach?

Head loss in Reach evaluator 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 evaluate 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 evaluate Head loss in Reach using this online evaluator? To use this online evaluator 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.

FAQs on Head loss in Reach

What is the formula to find Head loss in Reach?

The formula of Head loss in Reach is expressed as 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). Here is an example- 2.969388 = 11.5+14+(10^2/(2*9.8))-11-13-9^2/(2*9.8).

How to calculate Head loss in Reach?

With 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) we can find Head loss in Reach using the formula - 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).

Can the Head loss in Reach be negative?

Yes, the Head loss in Reach, measured in Length can be negative.

Which unit is used to measure Head loss in Reach?

Head loss in Reach is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Head loss in Reach can be measured.

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Head loss in Reach Formula

Head loss in Reach Example

Head loss in Reach Solution

Head loss in Reach Formula Elements

Other formulas in Slope Area Method category

How to Evaluate Head loss in Reach?

FAQs on Head loss in Reach

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