کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5499577 1533622 2017 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Rayleigh-Bènard convection in the generalized Oberbeck-Boussinesq system
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
Rayleigh-Bènard convection in the generalized Oberbeck-Boussinesq system
چکیده انگلیسی


- We investigated the more than 100 years old problem Rayleigh-Benard convection or the related Oberbeck-Boussinesq equations with a self-similar Ansatz.
- We gave physical interpretation of the applied self-similar Ansatz.
- We found analytic solutions which are new and has nothing to do with the chaotic solutions obtained from truncated Fourier series in the last 50 years.
- A possible answer is given, from the analytic temperature distribution, how the Rayleigh-Benard convection cells could appear.

The original Oberbeck-Boussinesq (OB) equations which are the coupled two dimensional Navier-Stokes(NS) and heat conduction equations have been investigated by E.N. Lorenz half a century ago with Fourier series and opened the way to the paradigm of chaos. In our former study-Chaos, Solitons and Fractals 78, 249 (2015)-we presented fully analytic solutions for the velocity, pressure and temperature fields with the aim of the self-similar Ansatz and gave a possible explanation of the Rayleigh-Bènard convection cells. Now we generalize the Oberbeck-Boussinesq hydrodynamical system, going beyond the first order Boussinesq approximation and consider a non-linear temperature coupling. We investigate more general, power law dependent fluid viscosity or heat conduction material equations as well. Our analytic results obtained via the self-similar Ansatz may attract the interest of various fields like meteorology, oceanography or climate studies.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 103, October 2017, Pages 336-341
نویسندگان
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