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Degree of Reaction of Turbine with Right Angled Outlet Blade Formula

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Degree of Reaction is defined as the ratio of pressure energy change inside a runner to the total energy change inside the runner. Check FAQs

R = 1 - \frac{\cot (α f)}{2 \cdot (\cot (α f) - \cot (θ i))}

R - Degree of Reaction?α_f - Guide Blade Angle For Francis Trubine?θ_i - Vane Angle at Inlet?

Degree of Reaction of Turbine with Right Angled Outlet Blade Example

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Here is how the Degree of Reaction of Turbine with Right Angled Outlet Blade equation looks like with Values.

Here is how the Degree of Reaction of Turbine with Right Angled Outlet Blade equation looks like with Units.

Here is how the Degree of Reaction of Turbine with Right Angled Outlet Blade equation looks like.

0.45 = 1 - \frac{\cot (11.03)}{2 \cdot (\cot (11.03) - \cot (65))}

0.45 = 1 - \frac{\cot (11.03°)}{2 \cdot (\cot (11.03°) - \cot (65°))}

0.45 = 1 - \frac{\cot (11.03)}{2 \cdot (\cot (11.03) - \cot (65))}

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Degree of Reaction of Turbine with Right Angled Outlet Blade Solution

Follow our step by step solution on how to calculate Degree of Reaction of Turbine with Right Angled Outlet Blade?

FIRST Step Consider the formula

R = 1 - \frac{\cot (α f)}{2 \cdot (\cot (α f) - \cot (θ i))}

Next Step Substitute values of Variables

∴

R = 1 - \frac{\cot (11.03°)}{2 \cdot (\cot (11.03°) - \cot (65°))}

Next Step Convert Units

∴

R = 1 - \frac{\cot (0.1925rad)}{2 \cdot (\cot (0.1925rad) - \cot (1.1345rad))}

Next Step Prepare to Evaluate

∴

R = 1 - \frac{\cot (0.1925)}{2 \cdot (\cot (0.1925) - \cot (1.1345))}

Next Step Evaluate

∴

R = 0.450008866151466

LAST Step Rounding Answer

∴

R = 0.45

Degree of Reaction of Turbine with Right Angled Outlet Blade Formula Elements

Variables

Functions

Degree of Reaction

Degree of Reaction is defined as the ratio of pressure energy change inside a runner to the total energy change inside the runner.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Degree of Reaction

Guide Blade Angle For Francis Trubine

Guide Blade Angle For Francis Trubine is defined as the angle between the direction of the jet and the direction of motion of the plate.

Symbol: α_f

Measurement: AngleUnit: °

Note: Value should be less than 361.

Formulas to find Guide Blade Angle For Francis Trubine

Vane Angle at Inlet

Vane Angle at Inlet is the angle made by the relative velocity of jet with the direction of motion at inlet.

Symbol: θ_i

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Vane Angle at Inlet

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

Other formulas in Francis Turbine category

Go Francis Turbine Speed Ratio

K u = \frac{u 1}{\sqrt{2 \cdot g \cdot H i}}

Go Velocity of Vane at Inlet given Speed Ratio Francis Turbine

u 1 = K u \cdot \sqrt{2 \cdot g \cdot H i}

Go Pressure Head given Speed Ratio in Francis Turbine

H i = \frac{{(\frac{u 1}{K u})}^{2}}{2 \cdot g}

Go Francis Turbine Flow Ratio

K f = \frac{V f1}{\sqrt{2 \cdot g \cdot H i}}

How to Evaluate Degree of Reaction of Turbine with Right Angled Outlet Blade?

Degree of Reaction of Turbine with Right Angled Outlet Blade evaluator uses Degree of Reaction = 1-cot(Guide Blade Angle For Francis Trubine)/(2*(cot(Guide Blade Angle For Francis Trubine)-cot(Vane Angle at Inlet))) to evaluate the Degree of Reaction, The Degree of Reaction of turbine with right angled outlet blade formula is defined as the ratio of the change of pressure energy inside the runner to the change of total energy inside the runner. Degree of Reaction is denoted by R symbol.

How to evaluate Degree of Reaction of Turbine with Right Angled Outlet Blade using this online evaluator? To use this online evaluator for Degree of Reaction of Turbine with Right Angled Outlet Blade, enter Guide Blade Angle For Francis Trubine (α_f) & Vane Angle at Inlet (θ_i) and hit the calculate button.

FAQs on Degree of Reaction of Turbine with Right Angled Outlet Blade

What is the formula to find Degree of Reaction of Turbine with Right Angled Outlet Blade?

The formula of Degree of Reaction of Turbine with Right Angled Outlet Blade is expressed as Degree of Reaction = 1-cot(Guide Blade Angle For Francis Trubine)/(2*(cot(Guide Blade Angle For Francis Trubine)-cot(Vane Angle at Inlet))). Here is an example- 0.450009 = 1-cot(0.192509816494938)/(2*(cot(0.192509816494938)-cot(1.1344640137961))).

How to calculate Degree of Reaction of Turbine with Right Angled Outlet Blade?

With Guide Blade Angle For Francis Trubine (α_f) & Vane Angle at Inlet (θ_i) we can find Degree of Reaction of Turbine with Right Angled Outlet Blade using the formula - Degree of Reaction = 1-cot(Guide Blade Angle For Francis Trubine)/(2*(cot(Guide Blade Angle For Francis Trubine)-cot(Vane Angle at Inlet))). This formula also uses Cotangent (cot) function(s).

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