Gas Dynamics (Compressible Flow) Normal Shock Wave

In summary, an atomic bomb explosion produces a blast wave traveling at 60,000 m/s through air at standard atmospheric conditions. Using the equation v=M sqrt(gamma*R*T) with air p=103.5 kpa and T=298K, the Mach number is approximately 180.
  • #1
enginsale
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Homework Statement



Suppose that a blast wave, which might have been initiated by an atomic bomb explosion, is traveling through air at standard atmospheric conditions with a speed of 60,000 m/s
find change in ( pressure , temperature , stagnation pressure , velocity ) produced by the wave with respect to an observer who is stationary with respect to the undisturbed air.


Homework Equations



v= M*sqrt(gamma*R*T)

isentropic tables & Normal Shock Wave Tables.

The Attempt at a Solution



i'm trying to use the equation v=M sqrt(gamma*R*T) with air p=103.5 kpa , T=298K , but i can't seem to understand the problem , since i get M=180 which is obviously wrong.
 
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  • #2
The shock wave is traveling at 60000 m/s, and the speed of sound is approx. 340 m/s.
M = 180 is about right.
 

Related to Gas Dynamics (Compressible Flow) Normal Shock Wave

1. What is a normal shock wave in gas dynamics?

A normal shock wave is a sudden, strong increase in pressure and decrease in velocity that occurs when a supersonic flow encounters a solid object or a sudden change in cross-sectional area. It is a type of compression wave that forms when the flow speed exceeds the local speed of sound.

2. How is a normal shock wave formed?

A normal shock wave is formed due to the abrupt change in the flow properties, such as Mach number, density, and temperature, across a shock front. This change is caused by the conservation of mass, momentum, and energy principles in a compressible flow.

3. What are the characteristics of a normal shock wave?

A normal shock wave is characterized by a sudden increase in pressure and temperature, a decrease in velocity, and an increase in density. It also causes a large amount of energy loss and an increase in entropy in the flow.

4. How is a normal shock wave analyzed and calculated?

A normal shock wave can be analyzed and calculated using the governing equations of gas dynamics, such as the continuity equation, momentum equation, and energy equation. These equations are solved using various numerical methods, such as the method of characteristics or the shock polar diagram.

5. What are the applications of normal shock waves in engineering?

Normal shock waves have various applications in engineering, such as in the design of supersonic aircraft, gas turbines, and rocket engines. They are also used in industrial processes, such as shock tube testing and shock wave lithotripsy. Understanding and controlling normal shock waves is crucial for the efficient and safe operation of these systems.

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