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Guide Blade Angle given Degree of Reaction Formula

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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. Check FAQs

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

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

Guide Blade Angle given Degree of Reaction Example

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Here is how the Guide Blade Angle given Degree of Reaction equation looks like with Values.

Here is how the Guide Blade Angle given Degree of Reaction equation looks like with Units.

Here is how the Guide Blade Angle given Degree of Reaction equation looks like.

11.0317 = a \cot (\frac{\cot (65)}{1 - \frac{1}{2 \cdot (1 - 0.45)}})

11.0317° = a \cot (\frac{\cot (65°)}{1 - \frac{1}{2 \cdot (1 - 0.45)}})

11.0317 = a \cot (\frac{\cot (65)}{1 - \frac{1}{2 \cdot (1 - 0.45)}})

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Guide Blade Angle given Degree of Reaction Solution

Follow our step by step solution on how to calculate Guide Blade Angle given Degree of Reaction?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

α f = a \cot (\frac{\cot (65°)}{1 - \frac{1}{2 \cdot (1 - 0.45)}})

Next Step Convert Units

∴

α f = a \cot (\frac{\cot (1.1345rad)}{1 - \frac{1}{2 \cdot (1 - 0.45)}})

Next Step Prepare to Evaluate

∴

α f = a \cot (\frac{\cot (1.1345)}{1 - \frac{1}{2 \cdot (1 - 0.45)}})

Next Step Evaluate

∴

α f = 0.192540093735278rad

Next Step Convert to Output's Unit

∴

α f = 11.0317347580868°

LAST Step Rounding Answer

∴

α f = 11.0317°

Guide Blade Angle given Degree of Reaction Formula Elements

Variables

Functions

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

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

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)

acot

The ACOT function calculates the arccotangent of a given number which is an angle given in radians from 0 (zero) to pi.

Syntax: acot(Number)

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 Guide Blade Angle given Degree of Reaction?

Guide Blade Angle given Degree of Reaction evaluator uses Guide Blade Angle For Francis Trubine = acot(cot(Vane Angle at Inlet)/(1-1/(2*(1-Degree of Reaction)))) to evaluate the Guide Blade Angle For Francis Trubine, The Guide blade angle given degree of reaction formula is used to find the guide blade angle of a Francis turbine with a right-angled outlet blade angle. Guide Blade Angle For Francis Trubine is denoted by α_f symbol.

How to evaluate Guide Blade Angle given Degree of Reaction using this online evaluator? To use this online evaluator for Guide Blade Angle given Degree of Reaction, enter Vane Angle at Inlet (θ_i) & Degree of Reaction (R) and hit the calculate button.

FAQs on Guide Blade Angle given Degree of Reaction

What is the formula to find Guide Blade Angle given Degree of Reaction?

The formula of Guide Blade Angle given Degree of Reaction is expressed as Guide Blade Angle For Francis Trubine = acot(cot(Vane Angle at Inlet)/(1-1/(2*(1-Degree of Reaction)))). Here is an example- 632.0718 = acot(cot(1.1344640137961)/(1-1/(2*(1-0.45)))).

How to calculate Guide Blade Angle given Degree of Reaction?

With Vane Angle at Inlet (θ_i) & Degree of Reaction (R) we can find Guide Blade Angle given Degree of Reaction using the formula - Guide Blade Angle For Francis Trubine = acot(cot(Vane Angle at Inlet)/(1-1/(2*(1-Degree of Reaction)))). This formula also uses Cotangent (cot), Inverse cotangent (acot) function(s).

Can the Guide Blade Angle given Degree of Reaction be negative?

No, the Guide Blade Angle given Degree of Reaction, measured in Angle cannot be negative.

Which unit is used to measure Guide Blade Angle given Degree of Reaction?

Guide Blade Angle given Degree of Reaction is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Guide Blade Angle given Degree of Reaction can be measured.

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