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Nonlinear Acoustics : what happens when the constraint is challenged?
Dissertation (MSc)--University of Pretoria, 2017.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2018
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| _version_ | 1867613450745675776 |
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| access_status_str | Open Access |
| author2 | Sauer, N. (Niko) |
| author_browse | Sauer, N. (Niko) |
| author_facet | Sauer, N. (Niko) |
| collection | Thesis |
| dc_rights_str_mv | � 2018 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
| description | Dissertation (MSc)--University of Pretoria, 2017. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/67998 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:36:20.940Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2018 |
| publishDateRange | 2018 |
| publishDateSort | 2018 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/67998 Nonlinear Acoustics : what happens when the constraint is challenged? Sauer, N. (Niko) simba@dziwainc.com Dziwa, Simbarashe Kudzai UCTD Unrestricted Dissertation (MSc)--University of Pretoria, 2017. The Lagrangian formulation for the propagation of sonic disturbances consists of a system of rst order partial di erential equations and an inequality constraint under which the system is hyperbolic. We study the behaviour of solutions when the system is initially at rest but strained under an initial pressure eld that challenges the constraint. The result is that the challenge is transferred to the solutions, that the pressure decays, the rest state changes violently, and shock discontinuities appear in velocity as well as pressure. The main tool of investigation is the notion of inverse characteristics in which a chosen point in the time-space plane is associated with points on the initial manifold where characteristics through the given point emanate from. They also lead to the introduction of an alternative measure of time in terms of which explicit expressions for the onset of shocks are derived. Mathematics and Applied Mathematics MSc 2018-12-05T08:06:24Z 2018-12-05T08:06:24Z 2009/04/18 2017 Dissertation Dziwa, SK 2017, Nonlinear Acoustics: What happens when the constraint is challenged?, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/67998> S2018 http://hdl.handle.net/2263/67998 en � 2018 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria |
| spellingShingle | UCTD Unrestricted Nonlinear Acoustics : what happens when the constraint is challenged? |
| title | Nonlinear Acoustics : what happens when the constraint is challenged? |
| title_full | Nonlinear Acoustics : what happens when the constraint is challenged? |
| title_fullStr | Nonlinear Acoustics : what happens when the constraint is challenged? |
| title_full_unstemmed | Nonlinear Acoustics : what happens when the constraint is challenged? |
| title_short | Nonlinear Acoustics : what happens when the constraint is challenged? |
| title_sort | nonlinear acoustics what happens when the constraint is challenged |
| topic | UCTD Unrestricted |
| url | http://hdl.handle.net/2263/67998 |