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Rearward Mach Angle of Expansion Fan Formula

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Rearward Mach angle is the angle formed between the rearward Mach line and the downstream flow direction (parallel to the convex surface). Check FAQs

μ 2 = a r \sin (\frac{1}{M e2})

μ₂ - Rearward Mach Angle?M_e2 - Mach Number Behind Expansion Fan?

Rearward Mach Angle of Expansion Fan Example

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Here is how the Rearward Mach Angle of Expansion Fan equation looks like with Values.

Here is how the Rearward Mach Angle of Expansion Fan equation looks like with Units.

Here is how the Rearward Mach Angle of Expansion Fan equation looks like.

9.5941 = a r \sin (\frac{1}{6})

9.5941° = a r \sin (\frac{1}{6})

9.5941 = a r \sin (\frac{1}{6})

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Rearward Mach Angle of Expansion Fan Solution

Follow our step by step solution on how to calculate Rearward Mach Angle of Expansion Fan?

FIRST Step Consider the formula

μ 2 = a r \sin (\frac{1}{M e2})

Next Step Substitute values of Variables

∴

μ 2 = a r \sin (\frac{1}{6})

Next Step Prepare to Evaluate

∴

μ 2 = a r \sin (\frac{1}{6})

Next Step Evaluate

∴

μ 2 = 0.167448079219689rad

Next Step Convert to Output's Unit

∴

μ 2 = 9.59406822686227°

LAST Step Rounding Answer

∴

μ 2 = 9.5941°

Rearward Mach Angle of Expansion Fan Formula Elements

Variables

Functions

Rearward Mach Angle

Rearward Mach angle is the angle formed between the rearward Mach line and the downstream flow direction (parallel to the convex surface).

Symbol: μ₂

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Rearward Mach Angle

Mach Number Behind Expansion Fan

Mach Number Behind Expansion Fan is the Mach number of downstream flow across the expansion fan.

Symbol: M_e2

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number Behind Expansion Fan

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

arsin

Arcsine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: arsin(Number)

Other formulas in Expansion Waves category

Go Pressure Ratio across Expansion Fan

P e,r = {(\frac{1 + 0.5 \cdot (γ e - 1) \cdot {M e1}^{2}}{1 + 0.5 \cdot (γ e - 1) \cdot {M e2}^{2}})}^{\frac{γ e}{γ e - 1}}

Go Temperature Ratio across Expansion Fan

T e,r = \frac{1 + 0.5 \cdot (γ e - 1) \cdot {M e1}^{2}}{1 + 0.5 \cdot (γ e - 1) \cdot {M e2}^{2}}

Go Pressure behind Expansion Fan

P 2 = P 1 \cdot {(\frac{1 + 0.5 \cdot (γ e - 1) \cdot {M e1}^{2}}{1 + 0.5 \cdot (γ e - 1) \cdot {M e2}^{2}})}^{\frac{γ e}{γ e - 1}}

Go Temperature behind Expansion Fan

T 2 = T 1 \cdot (\frac{1 + 0.5 \cdot (γ e - 1) \cdot {M e1}^{2}}{1 + 0.5 \cdot (γ e - 1) \cdot {M e2}^{2}})

How to Evaluate Rearward Mach Angle of Expansion Fan?

Rearward Mach Angle of Expansion Fan evaluator uses Rearward Mach Angle = arsin(1/Mach Number Behind Expansion Fan) to evaluate the Rearward Mach Angle, The Rearward Mach Angle of Expansion Fan formula is defined as the angle between the direction of flow within the fan and the Mach wave generated by the expansion of the flow. Rearward Mach Angle is denoted by μ₂ symbol.

How to evaluate Rearward Mach Angle of Expansion Fan using this online evaluator? To use this online evaluator for Rearward Mach Angle of Expansion Fan, enter Mach Number Behind Expansion Fan (M_e2) and hit the calculate button.

FAQs on Rearward Mach Angle of Expansion Fan

What is the formula to find Rearward Mach Angle of Expansion Fan?

The formula of Rearward Mach Angle of Expansion Fan is expressed as Rearward Mach Angle = arsin(1/Mach Number Behind Expansion Fan). Here is an example- 0.167448 = arsin(1/6).

How to calculate Rearward Mach Angle of Expansion Fan?

With Mach Number Behind Expansion Fan (M_e2) we can find Rearward Mach Angle of Expansion Fan using the formula - Rearward Mach Angle = arsin(1/Mach Number Behind Expansion Fan). This formula also uses Sine, Inverse Sine function(s).

Can the Rearward Mach Angle of Expansion Fan be negative?

No, the Rearward Mach Angle of Expansion Fan, measured in Angle cannot be negative.

Which unit is used to measure Rearward Mach Angle of Expansion Fan?

Rearward Mach Angle of Expansion Fan is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Rearward Mach Angle of Expansion Fan can be measured.

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