31:
98:
84:
compression in supersonic flows). A Mach wave is the weak limit of an oblique shock wave where time averages of flow quantities don't change (a normal shock is the other limit). If the size of the object moving at the speed of sound is near 0, then this domain of influence of the wave is called a
187:
used grooves in the wall of a duct to produce Mach waves in a duct, which were then photographed by the schlieren method, to obtain data about the flow in nozzles and ducts. Mach angles may also occasionally be visualized out of their condensation in air, for example
163:
37:
of an attached shock on a sharp-nosed supersonic body. The Mach angle is acute, showing that the body exceeds Mach 1. The angle of the Mach wave (~59 degrees) indicates a velocity of about Mach 1.17.
101:
A sonic boom produced by an aircraft moving at M=2.92, calculated from the cone angle of 20 degrees. Observers hear nothing until the shock wave, on the edges of the cone, crosses their location.
252:
ZelĘądovich, Iď¸ A︡kov
Borisovich, Yurii Petrovich Raizer, and Wallace D. Hayes. Physics of shock waves and high-temperature hydrodynamic phenomena. Vol. 1. New York: Academic Press, 1966.
243:
Landau, Lev
Davidovich, and Evgenii Mikhailovich Lifshitz. Fluid mechanics: Landau And Lifshitz: course of theoretical physics, Volume 6. Vol. 6. Elsevier, 2013.
77:. Thus, it is possible to have shockless compression or expansion in a supersonic flow by having the production of Mach waves sufficiently spaced (
354:
Supersonic wind tunnel test demonstration (Mach 2.5) with flat plate and wedge creating an oblique shock along with numerous Mach waves(Video)
112:, which is the angle formed between the Mach wave wavefront and a vector that points opposite to the vector of motion. It is given by
118:
323:
286:
210:
17:
183:
or shadowgraph observations to determine the local Mach number of the flow. Early observations by
368:
30:
220:
180:
34:
8:
338:
292:
81:
319:
296:
282:
205:
62:
69:
if sufficient Mach waves are present at any location. Such a shock wave is called a
274:
270:
373:
54:
42:
353:
278:
362:
215:
173:
225:
189:
184:
66:
315:
193:
58:
65:. These weak waves can combine in supersonic flow to become a
310:
E. Carscallen, William; Patrick, H. Oosthuizen (2013-07-12).
97:
158:{\displaystyle \mu =\arcsin \left({\frac {1}{M}}\right),}
265:
Sasoh, Akihiro (2020-01-02). "4.3 Oblique Shock Wave".
121:
309:
157:
360:
105:A Mach wave propagates across the flow at the
267:Compressible Fluid Dynamics and Shock Waves
96:
53:, is a pressure wave traveling with the
29:
312:Introduction to Compressible Fluid Flow
260:
258:
14:
361:
264:
255:
24:
25:
385:
347:
332:
303:
246:
237:
13:
1:
231:
92:
57:caused by a slight change of
7:
273:Singapore. pp. 80–82.
211:Prandtl–Meyer expansion fan
199:
10:
390:
179:Mach waves can be used in
279:10.1007/978-981-15-0504-1
192:around aircraft during
159:
102:
38:
221:Schlieren photography
216:Shadowgraph technique
160:
100:
33:
119:
35:Schlieren photograph
155:
103:
51:weak discontinuity
49:, also known as a
39:
325:978-1-4398-7792-0
288:978-981-15-0504-1
269:. Nagoya, Japan:
206:Compressible flow
146:
63:compressible flow
16:(Redirected from
381:
342:
336:
330:
329:
307:
301:
300:
262:
253:
250:
244:
241:
164:
162:
161:
156:
151:
147:
139:
21:
389:
388:
384:
383:
382:
380:
379:
378:
359:
358:
350:
345:
337:
333:
326:
308:
304:
289:
271:Springer Nature
263:
256:
251:
247:
242:
238:
234:
202:
138:
134:
120:
117:
116:
95:
28:
23:
22:
15:
12:
11:
5:
387:
377:
376:
371:
369:Fluid dynamics
357:
356:
349:
348:External links
346:
344:
343:
331:
324:
314:(2 ed.).
302:
287:
254:
245:
235:
233:
230:
229:
228:
223:
218:
213:
208:
201:
198:
166:
165:
154:
150:
145:
142:
137:
133:
130:
127:
124:
94:
91:
55:speed of sound
43:fluid dynamics
26:
9:
6:
4:
3:
2:
386:
375:
372:
370:
367:
366:
364:
355:
352:
351:
340:
335:
327:
321:
317:
313:
306:
298:
294:
290:
284:
280:
276:
272:
268:
261:
259:
249:
240:
236:
227:
224:
222:
219:
217:
214:
212:
209:
207:
204:
203:
197:
195:
191:
186:
182:
177:
175:
171:
152:
148:
143:
140:
135:
131:
128:
125:
122:
115:
114:
113:
111:
108:
99:
90:
88:
83:
80:
76:
72:
68:
64:
60:
56:
52:
48:
44:
36:
32:
27:Pressure wave
19:
334:
311:
305:
266:
248:
239:
178:
169:
167:
109:
106:
104:
86:
78:
74:
70:
50:
46:
40:
190:vapor cones
174:Mach number
61:added to a
363:Categories
339:Mach angle
232:References
226:Shock wave
185:Ernst Mach
107:Mach angle
93:Mach angle
82:isentropic
75:Mach front
67:shock wave
316:CRC Press
297:213248761
194:transonic
181:schlieren
132:
123:μ
87:Mach cone
71:Mach stem
47:Mach wave
18:Mach cone
341:at NASA.
200:See also
196:flight.
59:pressure
172:is the
322:
295:
285:
168:where
129:arcsin
374:Waves
293:S2CID
320:ISBN
283:ISBN
45:, a
275:doi
79:cf.
73:or
41:In
365::
318:.
291:.
281:.
257:^
176:.
89:.
328:.
299:.
277::
170:M
153:,
149:)
144:M
141:1
136:(
126:=
110:ÎĽ
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
