20:
87:
73:
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
176:
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
152:
26:
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.
90:
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.
241:
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.
232:
Landau, Lev
Davidovich, and Evgenii Mikhailovich Lifshitz. Fluid mechanics: Landau And Lifshitz: course of theoretical physics, Volume 6. Vol. 6. Elsevier, 2013.
66:. Thus, it is possible to have shockless compression or expansion in a supersonic flow by having the production of Mach waves sufficiently spaced (
343:
Supersonic wind tunnel test demonstration (Mach 2.5) with flat plate and wedge creating an oblique shock along with numerous Mach waves(Video)
101:, 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
107:
312:
275:
199:
172:
or shadowgraph observations to determine the local Mach number of the flow. Early observations by
357:
19:
209:
169:
23:
8:
327:
281:
70:
308:
285:
271:
194:
51:
58:
if sufficient Mach waves are present at any location. Such a shock wave is called a
263:
259:
362:
43:
31:
342:
267:
351:
204:
162:
214:
178:
173:
55:
304:
182:
47:
54:. These weak waves can combine in supersonic flow to become a
299:
E. Carscallen, William; Patrick, H. Oosthuizen (2013-07-12).
86:
147:{\displaystyle \mu =\arcsin \left({\frac {1}{M}}\right),}
254:
Sasoh, Akihiro (2020-01-02). "4.3 Oblique Shock Wave".
110:
298:
146:
349:
94:A Mach wave propagates across the flow at the
256:Compressible Fluid Dynamics and Shock Waves
85:
42:, is a pressure wave traveling with the
18:
301:Introduction to Compressible Fluid Flow
249:
247:
350:
253:
244:
13:
14:
374:
336:
321:
292:
235:
226:
1:
220:
81:
46:caused by a slight change of
7:
262:Singapore. pp. 80–82.
200:Prandtl–Meyer expansion fan
188:
10:
379:
168:Mach waves can be used in
268:10.1007/978-981-15-0504-1
181:around aircraft during
148:
91:
27:
210:Schlieren photography
205:Shadowgraph technique
149:
89:
22:
108:
24:Schlieren photograph
144:
92:
40:weak discontinuity
38:, also known as a
28:
314:978-1-4398-7792-0
277:978-981-15-0504-1
258:. Nagoya, Japan:
195:Compressible flow
135:
52:compressible flow
370:
331:
325:
319:
318:
296:
290:
289:
251:
242:
239:
233:
230:
153:
151:
150:
145:
140:
136:
128:
378:
377:
373:
372:
371:
369:
368:
367:
348:
347:
339:
334:
326:
322:
315:
297:
293:
278:
260:Springer Nature
252:
245:
240:
236:
231:
227:
223:
191:
127:
123:
109:
106:
105:
84:
17:
12:
11:
5:
376:
366:
365:
360:
358:Fluid dynamics
346:
345:
338:
337:External links
335:
333:
332:
320:
313:
303:(2 ed.).
291:
276:
243:
234:
224:
222:
219:
218:
217:
212:
207:
202:
197:
190:
187:
155:
154:
143:
139:
134:
131:
126:
122:
119:
116:
113:
83:
80:
44:speed of sound
32:fluid dynamics
15:
9:
6:
4:
3:
2:
375:
364:
361:
359:
356:
355:
353:
344:
341:
340:
329:
324:
316:
310:
306:
302:
295:
287:
283:
279:
273:
269:
265:
261:
257:
250:
248:
238:
229:
225:
216:
213:
211:
208:
206:
203:
201:
198:
196:
193:
192:
186:
184:
180:
175:
171:
166:
164:
160:
141:
137:
132:
129:
124:
120:
117:
114:
111:
104:
103:
102:
100:
97:
88:
79:
77:
72:
69:
65:
61:
57:
53:
49:
45:
41:
37:
33:
25:
21:
16:Pressure wave
323:
300:
294:
255:
237:
228:
167:
158:
156:
98:
95:
93:
75:
67:
63:
59:
39:
35:
29:
179:vapor cones
163:Mach number
50:added to a
352:Categories
328:Mach angle
221:References
215:Shock wave
174:Ernst Mach
96:Mach angle
82:Mach angle
71:isentropic
64:Mach front
56:shock wave
305:CRC Press
286:213248761
183:transonic
170:schlieren
121:
112:μ
76:Mach cone
60:Mach stem
36:Mach wave
330:at NASA.
189:See also
185:flight.
48:pressure
161:is the
311:
284:
274:
157:where
118:arcsin
363:Waves
282:S2CID
309:ISBN
272:ISBN
34:, a
264:doi
68:cf.
62:or
30:In
354::
307:.
280:.
270:.
246:^
165:.
78:.
317:.
288:.
266::
159:M
142:,
138:)
133:M
130:1
125:(
115:=
99:ÎĽ
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
