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  • Description and analysis of acoustic waves in ducts with a temperature gradient represents a signifi- cant problem of science and practical interest. This problem is induced by the need of understanding how temperature fields affect acoustic processes which leads to a better possibility to design and con- trol systems in which interactions between the acoustic and temperature fields occur. This includes for instance thermo-acoustic devices and engines, combustors, automotive mufflers, measuring methods of impedances of high temperature systems, investigation of thermo-acoustic and combustion instabil- ities etc. Most of the works dealing with these problems requires either the weak temperature gradient or temperature gradients, which are not fully consistent with the imposed physical conditions. In our work we deal with investigating of the behavior of plane acoustic waves that enter a region with arbitrarily spatially varying temperature gradient. This temperature region smoothly verges into the remaining regions in which the temperature gradient is constant. The one-dimensional wave equa- tion for ducts with an axial mean temperature gradient is solved analytically. The derived solutions extend the class of published analytical solutions of model wave equations taking into account the temperature gradient of medium by solutions that assume a smooth temperature distribution.
  • Description and analysis of acoustic waves in ducts with a temperature gradient represents a signifi- cant problem of science and practical interest. This problem is induced by the need of understanding how temperature fields affect acoustic processes which leads to a better possibility to design and con- trol systems in which interactions between the acoustic and temperature fields occur. This includes for instance thermo-acoustic devices and engines, combustors, automotive mufflers, measuring methods of impedances of high temperature systems, investigation of thermo-acoustic and combustion instabil- ities etc. Most of the works dealing with these problems requires either the weak temperature gradient or temperature gradients, which are not fully consistent with the imposed physical conditions. In our work we deal with investigating of the behavior of plane acoustic waves that enter a region with arbitrarily spatially varying temperature gradient. This temperature region smoothly verges into the remaining regions in which the temperature gradient is constant. The one-dimensional wave equa- tion for ducts with an axial mean temperature gradient is solved analytically. The derived solutions extend the class of published analytical solutions of model wave equations taking into account the temperature gradient of medium by solutions that assume a smooth temperature distribution. (en)
Title
  • Acoustic plane waves in a gas-filled duct with an axial temperature gradient
  • Acoustic plane waves in a gas-filled duct with an axial temperature gradient (en)
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  • Acoustic plane waves in a gas-filled duct with an axial temperature gradient
  • Acoustic plane waves in a gas-filled duct with an axial temperature gradient (en)
skos:notation
  • RIV/68407700:21230/14:00220113!RIV15-GA0-21230___
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  • P(GAP101/12/1925)
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  • 1485
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  • RIV/68407700:21230/14:00220113
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  • Acoustic wave; temperature gradient; analytical description (en)
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  • [E04DD0D1385E]
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  • Krakow
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  • Wroclaw
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  • Forum Acusticum 2014
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  • Bednařík, Michal
  • Červenka, Milan
  • Bálek, Rudolf
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http://linked.open.../riv/zahajeniAkce
issn
  • 2221-3767
number of pages
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  • Polish Acoustical Society
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  • 21230
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