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Deflection Angle Formula

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A Deflection angle is the angle between the onward extension of the previous leg and the line ahead. Check FAQs

θ def = \frac{2}{Y - 1} \cdot (\frac{1}{M 1} - \frac{1}{M 2})

θ_def - Deflection Angle?Y - Specific Heat Ratio?M₁ - Mach Number ahead of shock?M₂ - Mach Number behind shock?

Deflection Angle Example

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Here is how the Deflection Angle equation looks like with Values.

Here is how the Deflection Angle equation looks like with Units.

Here is how the Deflection Angle equation looks like.

-4.4444 = \frac{2}{1.6 - 1} \cdot (\frac{1}{1.5} - \frac{1}{0.5})

-4.4444rad = \frac{2}{1.6 - 1} \cdot (\frac{1}{1.5} - \frac{1}{0.5})

-4.4444 = \frac{2}{1.6 - 1} \cdot (\frac{1}{1.5} - \frac{1}{0.5})

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Deflection Angle Solution

Follow our step by step solution on how to calculate Deflection Angle?

FIRST Step Consider the formula

θ def = \frac{2}{Y - 1} \cdot (\frac{1}{M 1} - \frac{1}{M 2})

Next Step Substitute values of Variables

∴

θ def = \frac{2}{1.6 - 1} \cdot (\frac{1}{1.5} - \frac{1}{0.5})

Next Step Prepare to Evaluate

∴

θ def = \frac{2}{1.6 - 1} \cdot (\frac{1}{1.5} - \frac{1}{0.5})

Next Step Evaluate

∴

θ def = -4.44444444444444rad

LAST Step Rounding Answer

∴

θ def = -4.4444rad

Deflection Angle Formula Elements

Variables

Deflection Angle

A Deflection angle is the angle between the onward extension of the previous leg and the line ahead.

Symbol: θ_def

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Deflection Angle

Specific Heat Ratio

The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Specific Heat Ratio

Mach Number ahead of shock

Mach Number ahead of shock is the Mach number over the body before a shockwave has occurred.

Symbol: M₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number ahead of shock

Mach Number behind shock

Mach Number behind shock is the Mach number over the body after a shockwave has occurred.

Symbol: M₂

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number behind shock

Other formulas in Hypersonic Flow Parameters category

Go Axial Force Coefficient

μ = \frac{F}{q \cdot A}

Go Coefficient of Drag

C D = \frac{F D}{q \cdot A}

Go Coefficient of Pressure with Similarity Parameters

C p = 2 \cdot θ^{2} \cdot (\frac{Y + 1}{4} + \sqrt{{(\frac{Y + 1}{4})}^{2} + \frac{1}{K^{2}}})

Go Drag Force

F D = C D \cdot q \cdot A

How to Evaluate Deflection Angle?

Deflection Angle evaluator uses Deflection Angle = 2/(Specific Heat Ratio-1)*(1/Mach Number ahead of shock-1/Mach Number behind shock) to evaluate the Deflection Angle, Deflection angle is the product of the inverse of specific heat ratio minus 1 and double the inverse change in velocity of flow usually in Mach number. Deflection Angle is denoted by θ_def symbol.

How to evaluate Deflection Angle using this online evaluator? To use this online evaluator for Deflection Angle, enter Specific Heat Ratio (Y), Mach Number ahead of shock (M₁) & Mach Number behind shock (M₂) and hit the calculate button.

FAQs on Deflection Angle

What is the formula to find Deflection Angle?

The formula of Deflection Angle is expressed as Deflection Angle = 2/(Specific Heat Ratio-1)*(1/Mach Number ahead of shock-1/Mach Number behind shock). Here is an example- -4.444444 = 2/(1.6-1)*(1/1.5-1/0.5).

How to calculate Deflection Angle?

With Specific Heat Ratio (Y), Mach Number ahead of shock (M₁) & Mach Number behind shock (M₂) we can find Deflection Angle using the formula - Deflection Angle = 2/(Specific Heat Ratio-1)*(1/Mach Number ahead of shock-1/Mach Number behind shock).

Can the Deflection Angle be negative?

Yes, the Deflection Angle, measured in Angle can be negative.

Which unit is used to measure Deflection Angle?

Deflection Angle is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Deflection Angle can be measured.

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Deflection Angle Formula

Deflection Angle Example

Deflection Angle Solution

Deflection Angle Formula Elements

Other formulas in Hypersonic Flow Parameters category

How to Evaluate Deflection Angle?

FAQs on Deflection Angle

Variable Name