Singularities of wavefields and sonic boom

被引：5

作者：

Kaouri, K. ^{[1
]}

Awright, D. J. ^{[2
]}

Chapman, C. J. ^{[3
]}

Ockendon, J. R. ^{[2
]}

机构：

[1] Univ Nottingham, Sch Math Sci, Ctr Math Med & Biol, Nottingham NG7 2RD, England

[2] Math Inst, OCIAM, Oxford OX1 3LB, England

[3] Univ Keele, Dept Math, Keele ST5 5BG, Staffs, England

来源：

WAVE MOTION | 2008年 / 45卷 / 03期

关键词：

linear wave theory; accelerating source; stratified medium; sonic boom; Tricomi equation; boomray; Mach envelope;

D O I：

10.1016/j.wavemoti.2007.06.003

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

This paper analyses the generic singularities that can occur in wavefields driven by point acoustic sources moving steadily or accelerating in homogeneous or stratified atmospheres. These situations are unified by the result that the strongest wavefields satisfy the Tricomi equation, except in cases of very strong focusing of acoustic rays. The implications for sonic boom carpets are discussed. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：217 / 237

页数：21

共 13 条

[1]

Bateman H, 1915, MATH ANAL ELECT OPTI

[2] FOCUSING CONDITIONS FOR SONIC-BOOMS [J].

DEMPSEY, DF .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1977, 61 (03) :655-662

[3]

Friedlander F.G., 1958, SOUND PULSES

[4]

GUIRAUD JP, 1965, J MECANIQUE, V4, P215

[5]

HOWARTH L, 1948, P CAMB PHILOS SOC, V44, P380

[6]

KAOURI K, 2004, THESIS U OXFORD

[7] REFLECTION AT A LAMINAR BOUNDARY LAYER OF A WEAK STEADY DISTURBANCE TO A SUPERSONIC STREAM, NEGLECTING VISCOSITY AND HEAT CONDUCTION [J].

LIGHTHILL, MJ .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1950, 3 (03) :303-325

[8]

Lilley G. M., 1953, J R AERONAUT SOC, V57, P396, DOI [10.1017/S036839310012526X, DOI 10.1017/S036839310012526X]

[9] Caustics of weak shock waves [J].

Rosales, RR ;

Tabak, EG .

PHYSICS OF FLUIDS, 1998, 10 (01) :206-222

[10] TRANSIENT LIFT OF 3-DIMENSIONAL PURELY SUPERSONIC WINGS [J].

STRANG, WJ .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1950, 202 (1068) :54-60

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