کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8954103 | 1645984 | 2019 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Transition to a chaotic flow in a V-shaped triangular cavity heated from below
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی شیمی
جریان سیال و فرایندهای انتقال
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Natural convection in a V-shaped cavity heated from below and cooled from top is investigated owing to its extensive presence in industrial systems and in nature such as in a valley. Two dimensional numerical simulation is performed for natural convection in the cavity using a Finite Volume Method. A wide range of Rayleigh numbers of Raâ¯=â¯100 to 108 for the aspect ratio of Aâ¯=â¯0.5 and the Prandtl number of Prâ¯=â¯0.71 is considered. A set of supercritical bifurcations in a transition to a chaotic flow are described, which include a Pitchfork bifurcation from symmetric to asymmetric state and a Hopf bifurcation from steady to unsteady state. It is found that the Pitchfork bifurcation occurs between Raâ¯=â¯7.5â¯Ãâ¯103 and 7.6â¯Ãâ¯103 and the Hopf bifurcation occurs between Raâ¯=â¯1.5â¯Ãâ¯107 and 1.6â¯Ãâ¯107. Additionally, a further bifurcation from periodic to chaotic state occurs between Raâ¯=â¯5â¯Ãâ¯107 and 6â¯Ãâ¯107. The power spectral density, the phase space trajectory and the largest Lyapunov exponent of unsteady flows in the transition to a chaotic state have been described. Further, heat transfer in the cavity is calculated and the corresponding dependence on the Rayleigh number is discussed and quantified.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Heat and Mass Transfer - Volume 128, January 2019, Pages 76-86
Journal: International Journal of Heat and Mass Transfer - Volume 128, January 2019, Pages 76-86
نویسندگان
Sidhartha Bhowmick, Suvash C. Saha, Manman Qiao, Feng Xu,