کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
657268 | 1458062 | 2015 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Linear stability analysis of the convective flow in a spherical gap with η=0.714
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی شیمی
جریان سیال و فرایندهای انتقال
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A linear stability analysis has been performed of the buoyancy-driven flow of a Boussinesq fluid in a spherical gap where the inner shell is warmer than the outer one (T1>T2) for the radii ratio η=R1R2=0.714. We show that the two-dimensional axisymmetric basic flow becomes unstable with respect to non-axisymmetric perturbations. The stability diagrams, critical Grashof number Grc and wave number mc versus the Prandtl number Pr are presented for both the steady and the oscillatory instabilities. In this way, the results bridge the gap to recent three-dimensional simulations performed in Scurtu et al. (2010), Feldman and Colonius (2013) for air in this η. Furthermore we investigate the energy exchange between the basic flow and perturbations in terms of a Reynolds-Orr-equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Heat and Mass Transfer - Volume 80, January 2015, Pages 266-273
Journal: International Journal of Heat and Mass Transfer - Volume 80, January 2015, Pages 266-273
نویسندگان
Vadim Travnikov, K. Eckert, S. Odenbach,