Deflection Angle Calculator

✖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.ⓘ Specific Heat Ratio [Y]			+10% -10%
✖Mach Number ahead of Shock is the Mach number over the body before a shockwave has occurred.ⓘ Mach Number ahead of Shock [M₁]			+10% -10%
✖Mach Number behind shock is the Mach number over the body after a shockwave has occurred.ⓘ Mach Number Behind Shock [M₂]			+10% -10%

✖Deflection Angle is the angle between the onward extension of the previous leg and the line ahead.ⓘ Deflection Angle [θ_d]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Hypersonic Flow Parameters Formulas PDF PDF Image

Deflection Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection Angle = 2/(Specific Heat Ratio-1)*(1/Mach Number ahead of Shock-1/Mach Number Behind Shock)
θ_d = 2/(Y-1)*(1/M₁-1/M₂)
This formula uses 4 Variables

Variables Used

Deflection Angle - (Measured in Radian) - Deflection Angle is the angle between the onward extension of the previous leg and the line ahead.
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.
Mach Number ahead of Shock - Mach Number ahead of Shock is the Mach number over the body before a shockwave has occurred.
Mach Number Behind Shock - Mach Number behind shock is the Mach number over the body after a shockwave has occurred.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.6 --> No Conversion Required
Mach Number ahead of Shock: 1.5 --> No Conversion Required
Mach Number Behind Shock: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_d = 2/(Y-1)*(1/M₁-1/M₂) --> 2/(1.6-1)*(1/1.5-1/0.5)

Evaluating ... ...

θ_d = -4.44444444444444

STEP 3: Convert Result to Output's Unit

-4.44444444444444 Radian --> No Conversion Required

FINAL ANSWER

-4.44444444444444 ≈ -4.444444 Radian <-- Deflection Angle

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Hypersonic Flow Parameters » Deflection Angle

Credits

Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Hypersonic Flow Parameters Calculators

Coefficient of Pressure with Similarity Parameters

LaTeX Go Pressure Coefficient = 2*Flow Deflection angle^2*((Specific Heat Ratio+1)/4+sqrt(((Specific Heat Ratio+1)/4)^2+1/Hypersonic Similarity Parameter^2))

Deflection Angle

LaTeX Go Deflection Angle = 2/(Specific Heat Ratio-1)*(1/Mach Number ahead of Shock-1/Mach Number Behind Shock)

Coefficient of Drag

LaTeX Go Drag Coefficient = Drag Force/(Dynamic Pressure*Area For Flow)

Axial Force Coefficient

LaTeX Go Coefficient of Force = Force/(Dynamic Pressure*Area For Flow)

Deflection Angle Formula

LaTeX Go

Deflection Angle = 2/(Specific Heat Ratio-1)*(1/Mach Number ahead of Shock-1/Mach Number Behind Shock)
θ_d = 2/(Y-1)*(1/M₁-1/M₂)

what is deflection angle?

Equation is the hypersonic relation for Prandtl–Meyer expansion waves; it
is an approximate relation that becomes more accurate as M1 and M2 become
larger

How to Calculate Deflection Angle?

Deflection Angle calculator uses Deflection Angle = 2/(Specific Heat Ratio-1)*(1/Mach Number ahead of Shock-1/Mach Number Behind Shock) to calculate the Deflection Angle, Deflection Angle formula is defined as a measure of the angle through which a fluid is deflected from its original direction of motion, typically used to analyze the flow behavior of gases and fluids in hypersonic flow regimes. Deflection Angle is denoted by θ_d symbol.

How to calculate Deflection Angle using this online calculator? To use this online calculator for Deflection Angle, enter Specific Heat Ratio (Y), Mach Number ahead of Shock (M₁) & Mach Number Behind Shock (M₂) and hit the calculate button. Here is how the Deflection Angle calculation can be explained with given input values -> -4.444444 = 2/(1.6-1)*(1/1.5-1/0.5).

FAQ

What is Deflection Angle?

Deflection Angle formula is defined as a measure of the angle through which a fluid is deflected from its original direction of motion, typically used to analyze the flow behavior of gases and fluids in hypersonic flow regimes and is represented as θ_d = 2/(Y-1)*(1/M₁-1/M₂) or Deflection Angle = 2/(Specific Heat Ratio-1)*(1/Mach Number ahead of Shock-1/Mach Number Behind Shock). 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, Mach Number ahead of Shock is the Mach number over the body before a shockwave has occurred & Mach Number behind shock is the Mach number over the body after a shockwave has occurred.

How to calculate Deflection Angle?

Deflection Angle formula is defined as a measure of the angle through which a fluid is deflected from its original direction of motion, typically used to analyze the flow behavior of gases and fluids in hypersonic flow regimes is calculated using Deflection Angle = 2/(Specific Heat Ratio-1)*(1/Mach Number ahead of Shock-1/Mach Number Behind Shock). To calculate Deflection Angle, you need Specific Heat Ratio (Y), Mach Number ahead of Shock (M₁) & Mach Number Behind Shock (M₂). With our tool, you need to enter the respective value for Specific Heat Ratio, Mach Number ahead of Shock & Mach Number Behind Shock and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search