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Head loss in draft tube given efficiency Formula

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Loss of head in draft tube is defined as the difference in head at the start and end of the draft tube. Check FAQs

h f = ((\frac{{V 1}^{2}}{2 \cdot [g]}) - (\frac{{V 2}^{2}}{2 \cdot [g]})) - (η d \cdot (\frac{{V 1}^{2}}{2 \cdot [g]}))

h_f - Loss of Head in Draft Tube?V₁ - Velocity of Water at Inlet of Draft Tube?V₂ - Velocity of Water at Outlet of Draft Tube?η_d - Efficiency of Draft Tube?[g] - Gravitational acceleration on Earth?[g] - Gravitational acceleration on Earth?[g] - Gravitational acceleration on Earth?

Head loss in draft tube given efficiency Example

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Here is how the Head loss in draft tube given efficiency equation looks like with Values.

Here is how the Head loss in draft tube given efficiency equation looks like with Units.

Here is how the Head loss in draft tube given efficiency equation looks like.

0.1101 = ((\frac{6^{2}}{2 \cdot 9.8066}) - (\frac{{1.2}^{2}}{2 \cdot 9.8066})) - (0.9 \cdot (\frac{6^{2}}{2 \cdot 9.8066}))

0.1101m = ((\frac{{6m/s}^{2}}{2 \cdot 9.8066m/s²}) - (\frac{{1.2m/s}^{2}}{2 \cdot 9.8066m/s²})) - (0.9 \cdot (\frac{{6m/s}^{2}}{2 \cdot 9.8066m/s²}))

0.1101 = ((\frac{6^{2}}{2 \cdot 9.8066}) - (\frac{{1.2}^{2}}{2 \cdot 9.8066})) - (0.9 \cdot (\frac{6^{2}}{2 \cdot 9.8066}))

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Head loss in draft tube given efficiency Solution

Follow our step by step solution on how to calculate Head loss in draft tube given efficiency?

FIRST Step Consider the formula

h f = ((\frac{{V 1}^{2}}{2 \cdot [g]}) - (\frac{{V 2}^{2}}{2 \cdot [g]})) - (η d \cdot (\frac{{V 1}^{2}}{2 \cdot [g]}))

Next Step Substitute values of Variables

∴

h f = ((\frac{{6m/s}^{2}}{2 \cdot [g]}) - (\frac{{1.2m/s}^{2}}{2 \cdot [g]})) - (0.9 \cdot (\frac{{6m/s}^{2}}{2 \cdot [g]}))

Next Step Substitute values of Constants

∴

h f = ((\frac{{6m/s}^{2}}{2 \cdot 9.8066m/s²}) - (\frac{{1.2m/s}^{2}}{2 \cdot 9.8066m/s²})) - (0.9 \cdot (\frac{{6m/s}^{2}}{2 \cdot 9.8066m/s²}))

Next Step Prepare to Evaluate

∴

h f = ((\frac{6^{2}}{2 \cdot 9.8066}) - (\frac{{1.2}^{2}}{2 \cdot 9.8066})) - (0.9 \cdot (\frac{6^{2}}{2 \cdot 9.8066}))

Next Step Evaluate

∴

h f = 0.110129351001616m

LAST Step Rounding Answer

∴

h f = 0.1101m

Head loss in draft tube given efficiency Formula Elements

Variables

Constants

Loss of Head in Draft Tube

Loss of head in draft tube is defined as the difference in head at the start and end of the draft tube.

Symbol: h_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Loss of Head in Draft Tube

Velocity of Water at Inlet of Draft Tube

Velocity of water at inlet of draft tube is the velocity of water entering the inlet of draft tube which is the part with smaller area of cross section.

Symbol: V₁

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Water at Inlet of Draft Tube

Velocity of Water at Outlet of Draft Tube

Velocity of water at outlet of draft tube is the velocity of water flowing though the outlet of draft tube which is the end with bigger area of cross section.

Symbol: V₂

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Water at Outlet of Draft Tube

Efficiency of Draft Tube

The Efficiency of Draft Tube is defined as the ratio of the actual conversion of the kinetic head into the pressure head in the draft tube to the kinetic head at the inlet of the draft tube.

Symbol: η_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Efficiency of Draft Tube

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Draft Tube category

Go Efficiency of draft tube

η d = \frac{((\frac{{V 1}^{2}}{2 \cdot [g]}) - (\frac{{V 2}^{2}}{2 \cdot [g]})) - (h f)}{\frac{{V 1}^{2}}{2 \cdot [g]}}

Go Velocity of water at outlet of draft tube given draft tube efficiency

V 2 = \sqrt{({V 1}^{2}) \cdot (1 - η d) - (h f \cdot 2 \cdot [g])}

Go Velocity of water at inlet of draft tube given draft tube efficiency

V 1 = \sqrt{\frac{({V 2}^{2}) + (h f \cdot 2 \cdot [g])}{1 - η d}}

How to Evaluate Head loss in draft tube given efficiency?

Head loss in draft tube given efficiency evaluator uses Loss of Head in Draft Tube = (((Velocity of Water at Inlet of Draft Tube^2)/(2*[g]))-((Velocity of Water at Outlet of Draft Tube^2)/(2*[g])))-(Efficiency of Draft Tube*((Velocity of Water at Inlet of Draft Tube^2)/(2*[g]))) to evaluate the Loss of Head in Draft Tube, The Head loss in draft tube given efficiency formula is used to find the loss in heads across the draft tube when the efficiency of the draft tube is known. Loss of Head in Draft Tube is denoted by h_f symbol.

How to evaluate Head loss in draft tube given efficiency using this online evaluator? To use this online evaluator for Head loss in draft tube given efficiency, enter Velocity of Water at Inlet of Draft Tube (V₁), Velocity of Water at Outlet of Draft Tube (V₂) & Efficiency of Draft Tube (η_d) and hit the calculate button.

FAQs on Head loss in draft tube given efficiency

What is the formula to find Head loss in draft tube given efficiency?

The formula of Head loss in draft tube given efficiency is expressed as Loss of Head in Draft Tube = (((Velocity of Water at Inlet of Draft Tube^2)/(2*[g]))-((Velocity of Water at Outlet of Draft Tube^2)/(2*[g])))-(Efficiency of Draft Tube*((Velocity of Water at Inlet of Draft Tube^2)/(2*[g]))). Here is an example- 0.110129 = (((6^2)/(2*[g]))-((1.2^2)/(2*[g])))-(0.9*((6^2)/(2*[g]))).

How to calculate Head loss in draft tube given efficiency?

With Velocity of Water at Inlet of Draft Tube (V₁), Velocity of Water at Outlet of Draft Tube (V₂) & Efficiency of Draft Tube (η_d) we can find Head loss in draft tube given efficiency using the formula - Loss of Head in Draft Tube = (((Velocity of Water at Inlet of Draft Tube^2)/(2*[g]))-((Velocity of Water at Outlet of Draft Tube^2)/(2*[g])))-(Efficiency of Draft Tube*((Velocity of Water at Inlet of Draft Tube^2)/(2*[g]))). This formula also uses Gravitational acceleration on Earth, Gravitational acceleration on Earth, Gravitational acceleration on Earth constant(s).

Can the Head loss in draft tube given efficiency be negative?

No, the Head loss in draft tube given efficiency, measured in Length cannot be negative.

Which unit is used to measure Head loss in draft tube given efficiency?

Head loss in draft tube given efficiency 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 draft tube given efficiency can be measured.

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Head loss in draft tube given efficiency Formula

Head loss in draft tube given efficiency Example

Head loss in draft tube given efficiency Solution

Head loss in draft tube given efficiency Formula Elements

Other formulas in Draft Tube category

How to Evaluate Head loss in draft tube given efficiency?

FAQs on Head loss in draft tube given efficiency

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