کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9867194 | 1529977 | 2005 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Symmetries of discontinuous flows and the dual Rankine-Hugoniot conditions in fluid dynamics
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Symmetries of discontinuous flows and the dual Rankine-Hugoniot conditions in fluid dynamics Symmetries of discontinuous flows and the dual Rankine-Hugoniot conditions in fluid dynamics](/preview/png/9867194.png)
چکیده انگلیسی
It has recently been shown that the maximal kinematical invariance group of polytropic fluids, for smooth subsonic flows, is the semidirect product of SL (2, R) and the static Galilei group G. This result purports to offer a theoretical explanation for an intriguing similarity, that was recently observed, between a supernova explosion and a plasma implosion. In this paper we extend this result to discuss the symmetries of discontinuous flows, which further validates the explanation by taking into account shock waves, which are the driving force behind both the explosion and implosion. This is accomplished by constructing a new set of Rankine-Hugoniot conditions, which follow from Noether's conservation laws. The new set is dual to the standard Rankine-Hugoniot conditions and is related to them through the SL (2, R) transformations. The entropy condition, that the shock needs to satisfy for physical reasons, is also seen to remain invariant under the transformations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 316, Issue 1, March 2005, Pages 30-43
Journal: Annals of Physics - Volume 316, Issue 1, March 2005, Pages 30-43
نویسندگان
Oliver Jahn, V.V. Sreedhar, Amitabh Virmani,