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# hw6 - MAE135 Homework No 6 Spring 2010 Date Assigned Friday...

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MAE135 Homework No. 6 Spring 2010 Date Assigned: Friday, May 7, 2010 Due date: 5:00 pm Tuesday, May 18, 2010 PROBLEM 1 (10 points) 0 p a p 0 p a p e * (a) M=1 Subsonic Shock e * A /A =4.0 0 p p e * Shock * 1 a 1 2 A /A =4.0 (b) A /A =2.0 0 p e * Shock * 1 a 1 2 A /A =4.0 p A /A =3.0 1 2 A /A =4.0 0 p a p e * A /A =4.0 No shock e p = a p (c) (d) (e) For a nozzle with A e /A * = 4 . 0, find the pressure ratio p 0 /p a for which: (a) sonic flow first occurs at the throat; (b) a shock sits at A 1 /A * = 2 . 0; (c) a shock sits at A 1 /A * = 3 . 0; (d) a shock sits at the exit; (e) the exit flow is supersonic and the exit pressure matches the ambient pressure. (This is called the “ pressure matched condition” at which no shock waves – or any other type of waves – occur). 1

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PROBLEM 2 (10 points) p 0 1 2 M 1 p 1 p 2 Normal shock Particle seeding In a fluid process application, a shock wave inside a convergent-divergent nozzle is used to disintegrate (break up) small liquid particles seeded in the air flow (the seeding of the particles is light enough not to change the perfect-gas behavior of the air).
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hw6 - MAE135 Homework No 6 Spring 2010 Date Assigned Friday...

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