Head loss in draft tube given efficiency Calculator

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Draft Tube

Flow Characteristics

Orifices and Mouthpieces

Properties of Surfaces and Solids

Viscous Flow

✖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%
✖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 [V₂]			+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.ⓘ Head loss in draft tube given efficiency [h_f]

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Formula

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Head loss in draft tube given efficiency

Formula

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

Example

`"0.110129m"=(((("6m/s")^2)/(2*"[g]"))-((("1.2m/s")^2)/(2*"[g]")))-("0.9"*((("6m/s")^2)/(2*"[g]")))`

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Head loss in draft tube given efficiency Solution

STEP 0: Pre-Calculation Summary

Formula Used

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])))
h_f = (((V₁^2)/(2*[g]))-((V₂^2)/(2*[g])))-(η_d*((V₁^2)/(2*[g])))
This formula uses 1 Constants, 4 Variables

Constants Used

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

Variables Used

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.
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.
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.
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.

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
Velocity of water at outlet of draft tube: 1.2 Meter per Second --> 1.2 Meter per Second No Conversion Required
Efficiency of Draft Tube: 0.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_f = (((V₁^2)/(2*[g]))-((V₂^2)/(2*[g])))-(η_d*((V₁^2)/(2*[g]))) --> (((6^2)/(2*[g]))-((1.2^2)/(2*[g])))-(0.9*((6^2)/(2*[g])))

Evaluating ... ...

h_f = 0.110129351001616

STEP 3: Convert Result to Output's Unit

0.110129351001616 Meter --> No Conversion Required

FINAL ANSWER

0.110129351001616 ≈ 0.110129 Meter <-- Loss of head in draft tube

(Calculation completed in 00.007 seconds)

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Created by Peri Krishna Karthik

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

Peri Krishna Karthik has created this Calculator and 200+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 4 Draft Tube Calculators

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 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

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]))

Head loss in draft tube given 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 Head loss in draft tube given efficiency?

Head loss in draft tube given efficiency calculator 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 calculate 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 calculate Head loss in draft tube given efficiency using this online calculator? To use this online calculator 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. Here is how the Head loss in draft tube given efficiency calculation can be explained with given input values -> 0.110129 = (((6^2)/(2*[g]))-((1.2^2)/(2*[g])))-(0.9*((6^2)/(2*[g]))).

FAQ

What is Head loss in draft tube given efficiency?

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 and is represented as h_f = (((V₁^2)/(2*[g]))-((V₂^2)/(2*[g])))-(η_d*((V₁^2)/(2*[g]))) or 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 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 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 & 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.

How to calculate Head loss in draft tube given efficiency?

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 is calculated using 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 calculate Head loss in draft tube given efficiency, you need Velocity of water at inlet of draft tube (V₁), Velocity of water at outlet of draft tube (V₂) & Efficiency of Draft Tube (η_d). With our tool, you need to enter the respective value for Velocity of water at inlet of draft tube, Velocity of water at outlet of draft tube & Efficiency of 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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