What Is the Shock Wave Cone Half-Angle at Mach 2.30?

In summary, a shock wave cone half-angle is the angle between a shock wave and the body causing it. It can be measured using experimental techniques or mathematical models and can be affected by factors such as speed, shape, and properties of the surrounding medium. In supersonic and hypersonic flight, a larger cone half-angle can result in increased drag and heating, making it important to control or minimize it through various methods such as changing the body shape, speed, or using advanced aerodynamic designs.
  • #1
lilkrazyrae
64
0
What is the shock wave cone half-angle for a supersonic airplane flying at Mach 2.30?

Would you use Mach=1/sin(theta) and then divide by 2 to get the half angle?

So 2.30=1/sin(theta)=12.9 degrees
 
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  • #2
[tex]sin\theta = \frac{1}{M}[/tex]

So take the inverse sin of 1/M and you get the half angle. There is no need to divide by 2.

http://www.adl.gatech.edu/classes/dci/hispd/dci09.html
 
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  • #3


Yes, that is correct. The shock wave cone half-angle for a supersonic airplane flying at Mach 2.30 would be approximately 12.9 degrees. This means that the angle between the shock wave and the direction of flight is 12.9 degrees. The formula you mentioned, Mach=1/sin(theta), is commonly used to calculate the shock wave cone half-angle for a given Mach number.
 

What is a shock wave cone half-angle?

A shock wave cone half-angle is the angle formed between the shock wave and the body causing the shock. It is a measure of the severity of the shock wave and can impact the aerodynamics and structural integrity of a vehicle or aircraft.

How is the shock wave cone half-angle measured?

The shock wave cone half-angle is typically measured using experimental techniques such as schlieren photography or pressure sensors. It can also be calculated using mathematical models based on the geometry and properties of the shock wave and the body causing it.

What factors can affect the shock wave cone half-angle?

The shock wave cone half-angle can be affected by various factors such as the speed and shape of the body causing the shock, the properties of the surrounding medium (such as air or water), and the temperature and pressure of the flow. Other factors like altitude, humidity, and turbulence can also play a role.

Why is the shock wave cone half-angle important in supersonic and hypersonic flight?

In supersonic and hypersonic flight, the shock wave cone half-angle is important as it can determine the level of drag and heating experienced by the vehicle. A larger cone half-angle can result in increased drag and heating, making it more challenging to design and control high-speed vehicles.

How can the shock wave cone half-angle be controlled or minimized?

The shock wave cone half-angle can be controlled or minimized through various methods such as altering the shape or size of the body causing the shock, changing the speed or direction of the flow, or using advanced aerodynamic designs such as shock waves and boundary layer control devices. These techniques can help reduce the severity of the shock wave and improve the performance and safety of high-speed vehicles.

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