کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
783463 1465318 2015 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lie symmetry solutions for two-phase mass flows
ترجمه فارسی عنوان
راه حل های تقاربی درو برای جریان های جوی دو فاز
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی


• We apply Lie symmetry to non-linear PDEs describing two-phase mass flows.
• Result generalizes two-phase flow with dominant strong phase-interaction.
• Several general similarity forms are generated to construct self-similar solutions.
• Analytical, numerical solutions presented for symmetry-reduced system.
• New models adequately describe two-phase debris flows and produce observable phenomena.

We apply Lie symmetry method to a set of non-linear partial differential equations, which describes a two-phase rapid gravity mass flow as a mixture of solid particles and viscous fluid down a slope (Pudasaini, J. Geophys. Res. 117 (2012) F03010, 28 pp [1]). In order to systematically explore the mathematical structure and underlying physics of the two-phase mixture flow, we generate several similarity forms in general form and construct self-similar solutions. Our analysis generalizes the results, obtained by applying the Lie symmetry method to relatively simple single-phase pressure-driven gravity mass flows, to the two-phase mass flows that include several dominant driving forces and strong phase-interactions. Analytical and numerical solutions are presented for the symmetry-reduced homogeneous and non-homogeneous systems of equations. Analytical and numerical results show that the new models presented here can adequately describe the dynamics of two-phase debris flows, and produce observable phenomena that are consistent with the physics of the flow. The solutions are strongly dependent on the choice of the symmetry-reduced model, as characterized by the group parameters, and the physical parameters of the flows. These solutions reveal strong non-linear and distinct dynamic evolutions, and phase-interactions between the solid and fluid phases, namely the phase-heights and phase-velocities.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 77, December 2015, Pages 325–341
نویسندگان
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