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

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Draft Tube

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✖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.ⓘ Velocity of water at inlet of draft tube [V₁]			+10% -10%
✖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.ⓘ Efficiency of Draft Tube [η_d]			+10% -10%
✖Loss of head in draft tube is defined as the difference in head at the start and end of the draft tube.ⓘ Loss of head in draft tube [h_f]			+10% -10%

✖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.ⓘ Velocity of water at outlet of draft tube given draft tube efficiency [V₂]

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Formula

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

Formula

`"V"_{"2"} = sqrt(( "V"_{"1"}^2)*(1-"η"_{"d"})-("h"_{"f"}*2*"[g]"))`

Example

`"1.280105m/s"=sqrt(( ("6m/s")^2)*(1-"0.9")-("0.1m"*2*"[g]"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of water at outlet of draft tube = sqrt(( Velocity of water at inlet of draft tube^2)*(1-Efficiency of Draft Tube)-(Loss of head in draft tube*2*[g]))
V₂ = sqrt(( V₁^2)*(1-η_d)-(h_f*2*[g]))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Velocity of water at outlet of draft tube - (Measured in Meter per Second) - 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.
Velocity of water at inlet of draft tube - (Measured in Meter per Second) - 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.
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.
Loss of head in draft tube - (Measured in Meter) - Loss of head in draft tube is defined as the difference in head at the start and end of the draft tube.

STEP 1: Convert Input(s) to Base Unit

Velocity of water at inlet of draft tube: 6 Meter per Second --> 6 Meter per Second No Conversion Required
Efficiency of Draft Tube: 0.9 --> No Conversion Required
Loss of head in draft tube: 0.1 Meter --> 0.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₂ = sqrt(( V₁^2)*(1-η_d)-(h_f*2*[g])) --> sqrt(( 6^2)*(1-0.9)-(0.1*2*[g]))

Evaluating ... ...

V₂ = 1.28010546440518

STEP 3: Convert Result to Output's Unit

1.28010546440518 Meter per Second --> No Conversion Required

FINAL ANSWER

1.28010546440518 ≈ 1.280105 Meter per Second <-- Velocity of water at outlet of draft tube

(Calculation completed in 00.004 seconds)

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Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

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National Institute Of Technology (NIT), Hamirpur

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Efficiency of draft tube

Go 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]))

Head loss in draft tube given efficiency

Go 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])))

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

Go Velocity of water at outlet of draft tube = sqrt(( Velocity of water at inlet of draft tube^2)*(1-Efficiency of Draft Tube)-(Loss of head in draft tube*2*[g]))

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

Go Velocity of water at inlet of draft tube = sqrt(((Velocity of water at outlet of draft tube^2)+(Loss of head in draft tube*2*[g]))/(1-Efficiency of Draft Tube))

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

What is the purpose of draft tube?

The draft tube, in addition to serve a passage for water discharge, has also other purposes. It permits a negative head to be established at the outlet of the runner and thereby increase the net head on the turbine. The turbine may be placed above the trail race without any loss of net head and hence turbine may be inspected properly. It converts a large portion of kinetic energy rejected at the outlet of the turbine into useful pressure energy. Without the draft tube, the kinetic energy rejected at the outlet of turbine will go waste to the trail race.

What are the types of draft tubes?

The following are the important types of draft tubes which are commonly used. Conical draft tubes, simple elbow draft tubes, moody spreading tubes and elbow draft tubes with circular inlet and rectangular outlet.

How to Calculate Velocity of water at outlet of draft tube given draft tube efficiency?

Velocity of water at outlet of draft tube given draft tube efficiency calculator uses Velocity of water at outlet of draft tube = sqrt(( Velocity of water at inlet of draft tube^2)*(1-Efficiency of Draft Tube)-(Loss of head in draft tube*2*[g])) to calculate the Velocity of water at outlet of draft tube, The Velocity of water at outlet of draft tube given draft tube efficiency formula is used to find the speed of the water at the outlet of the draft tube which is the end having a larger cross-section area. Velocity of water at outlet of draft tube is denoted by V₂ symbol.

How to calculate Velocity of water at outlet of draft tube given draft tube efficiency using this online calculator? To use this online calculator for Velocity of water at outlet of draft tube given draft tube efficiency, enter Velocity of water at inlet of draft tube (V₁), Efficiency of Draft Tube (η_d) & Loss of head in draft tube (h_f) and hit the calculate button. Here is how the Velocity of water at outlet of draft tube given draft tube efficiency calculation can be explained with given input values -> 1.280105 = sqrt(( 6^2)*(1-0.9)-(0.1*2*[g])).

FAQ

What is Velocity of water at outlet of draft tube given draft tube efficiency?

The Velocity of water at outlet of draft tube given draft tube efficiency formula is used to find the speed of the water at the outlet of the draft tube which is the end having a larger cross-section area and is represented as V₂ = sqrt(( V₁^2)*(1-η_d)-(h_f*2*[g])) or Velocity of water at outlet of draft tube = sqrt(( Velocity of water at inlet of draft tube^2)*(1-Efficiency of Draft Tube)-(Loss of head in draft tube*2*[g])). 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, 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 & Loss of head in draft tube is defined as the difference in head at the start and end of the draft tube.

How to calculate Velocity of water at outlet of draft tube given draft tube efficiency?

The Velocity of water at outlet of draft tube given draft tube efficiency formula is used to find the speed of the water at the outlet of the draft tube which is the end having a larger cross-section area is calculated using Velocity of water at outlet of draft tube = sqrt(( Velocity of water at inlet of draft tube^2)*(1-Efficiency of Draft Tube)-(Loss of head in draft tube*2*[g])). To calculate Velocity of water at outlet of draft tube given draft tube efficiency, you need Velocity of water at inlet of draft tube (V₁), Efficiency of Draft Tube (η_d) & Loss of head in draft tube (h_f). With our tool, you need to enter the respective value for Velocity of water at inlet of draft tube, Efficiency of Draft Tube & Loss of head in draft tube 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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