کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5016500 1465300 2017 38 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A hyperbolic mathematical modeling for describing the transition saturated/unsaturated in a rigid porous medium
ترجمه فارسی عنوان
یک مدلسازی ریاضی هیپربولیک برای توصیف انتقال اشباع / غیر اشباع در یک محیط متخلخل سخت
کلمات کلیدی
رویکرد هیپربولیک، جریان از طریق رسانه متخلخل غیر اشباع، انتقال غیر اشباع شده در ماتریس متخلخل تقریبا سفت و سخت، مشکل ریمان،
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی
This work proposes a mathematical model to study the filling up of an unsaturated porous medium by a liquid identifying the transition from unsaturated to saturated flow and allowing a small super saturation. As a consequence the problem remains hyperbolic even when saturation is reached. This important feature enables obtaining numerical solution for any initial value problem and allows employing Glimm's scheme associated with an operator splitting technique for treating drag and viscous effects. A mixture theory approach is used to build the mechanical model, considering a mixture of three overlapping continuous constituents: a solid (porous medium), a liquid (Newtonian fluid) and a very low-density gas (to account for the mixture compressibility). The constitutive assumption proposed for the pressure gives rise to a continuous function of the fluid fraction. The complete solution of the Riemann problem associated with the system of conservation laws, as well as four examples, considering all the four possible connections, namely, 1-shock/2-shock, 1-rarefaction/2-rarefaction, 1-rarefaction/2-shock and 1-shock/2-rarefaction are presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 95, October 2017, Pages 168-177
نویسندگان
, , , , ,