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Efficiency of draft tube Formula

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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. Check FAQs

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]}}

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

Efficiency of draft tube Example

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Here is how the Efficiency of draft tube equation looks like with Values.

Here is how the Efficiency of draft tube equation looks like with Units.

Here is how the Efficiency of draft tube equation looks like.

0.9055 = \frac{((\frac{6^{2}}{2 \cdot 9.8066}) - (\frac{{1.2}^{2}}{2 \cdot 9.8066})) - (0.1)}{\frac{6^{2}}{2 \cdot 9.8066}}

0.9055 = \frac{((\frac{{6m/s}^{2}}{2 \cdot 9.8066m/s²}) - (\frac{{1.2m/s}^{2}}{2 \cdot 9.8066m/s²})) - (0.1m)}{\frac{{6m/s}^{2}}{2 \cdot 9.8066m/s²}}

0.9055 = \frac{((\frac{6^{2}}{2 \cdot 9.8066}) - (\frac{{1.2}^{2}}{2 \cdot 9.8066})) - (0.1)}{\frac{6^{2}}{2 \cdot 9.8066}}

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Efficiency of draft tube Solution

Follow our step by step solution on how to calculate Efficiency of draft tube?

FIRST Step Consider the formula

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]}}

Next Step Substitute values of Variables

∴

η d = \frac{((\frac{{6m/s}^{2}}{2 \cdot [g]}) - (\frac{{1.2m/s}^{2}}{2 \cdot [g]})) - (0.1m)}{\frac{{6m/s}^{2}}{2 \cdot [g]}}

Next Step Substitute values of Constants

∴

η d = \frac{((\frac{{6m/s}^{2}}{2 \cdot 9.8066m/s²}) - (\frac{{1.2m/s}^{2}}{2 \cdot 9.8066m/s²})) - (0.1m)}{\frac{{6m/s}^{2}}{2 \cdot 9.8066m/s²}}

Next Step Prepare to Evaluate

∴

η d = \frac{((\frac{6^{2}}{2 \cdot 9.8066}) - (\frac{{1.2}^{2}}{2 \cdot 9.8066})) - (0.1)}{\frac{6^{2}}{2 \cdot 9.8066}}

Next Step Evaluate

∴

η d = 0.905518611111111

LAST Step Rounding Answer

∴

η d = 0.9055

Efficiency of draft tube Formula Elements

Variables

Constants

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

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

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

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 Head loss in draft tube given efficiency

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]}))

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 Efficiency of draft tube?

Efficiency of draft tube evaluator uses Efficiency of Draft Tube = ((((Velocity of Water at Inlet of Draft Tube^2)/(2*[g]))-((Velocity of Water at Outlet of Draft Tube^2)/(2*[g])))-(Loss of Head in Draft Tube))/((Velocity of Water at Inlet of Draft Tube^2)/(2*[g])) to evaluate the Efficiency of Draft Tube, The Efficiency of draft tube formula is defined as the ratio of actual conversion of kinetic head into pressure head to the kinetic head at the inlet of the draft tube. Efficiency of Draft Tube is denoted by η_d symbol.

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

FAQs on Efficiency of draft tube

What is the formula to find Efficiency of draft tube?

The formula of Efficiency of draft tube is expressed as Efficiency of Draft Tube = ((((Velocity of Water at Inlet of Draft Tube^2)/(2*[g]))-((Velocity of Water at Outlet of Draft Tube^2)/(2*[g])))-(Loss of Head in Draft Tube))/((Velocity of Water at Inlet of Draft Tube^2)/(2*[g])). Here is an example- 0.905519 = ((((6^2)/(2*[g]))-((1.2^2)/(2*[g])))-(0.1))/((6^2)/(2*[g])).

How to calculate Efficiency of draft tube?

With Velocity of Water at Inlet of Draft Tube (V₁), Velocity of Water at Outlet of Draft Tube (V₂) & Loss of Head in Draft Tube (h_f) we can find Efficiency of draft tube using the formula - Efficiency of Draft Tube = ((((Velocity of Water at Inlet of Draft Tube^2)/(2*[g]))-((Velocity of Water at Outlet of Draft Tube^2)/(2*[g])))-(Loss of Head in 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).

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Efficiency of draft tube Formula

Efficiency of draft tube Example

Efficiency of draft tube Solution

Efficiency of draft tube Formula Elements

Other formulas in Draft Tube category

How to Evaluate Efficiency of draft tube?

FAQs on Efficiency of draft tube

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