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Unformatted text preview: Fluids – Lecture 14 Notes 1. Normal Shock Waves 2. Speed of Sound Reading: Anderson 8.1 – 8.3 Normal Shock Waves Occurance of normal shock waves A normal shock wave appears in many types of supersonic ﬂows. Two examples are shown in the figure. Any blunt-nosed body in a supersonic ﬂow will develop a curved bow shock , which is normal to the ﬂow locally just ahead of the stagnation point. Another common example is a supersonic nozzle ﬂow, which is typically found in a jet or rocket engine. A normal shock can appear in the diverging part of the nozzle under certain conditions. M Bow Shock M>1 Nozzle Shock Shock jump relations We examine the ﬂow in the frame in which the shock is stationary. The upstream and downstream ﬂow properties are denoted by the subscripts () 1 and () 2 as shown in the figure. A control volume is defined straddling the shock. The ﬂow in the shock has the following properties: 1. Flow is steady, so ∂ () /∂t = 0 in all equations....
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This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.
- Fall '05