کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5775786 | 1631753 | 2017 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the exact solution of the Riemann problem for blood flow in human veins, including collapse
ترجمه فارسی عنوان
در حل دقیق مشکل ریمان برای جریان خون در ورید های انسانی، از جمله فروپاشی
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کلمات کلیدی
جریان خون، مدل یک بعدی، رگها، سقوط - فروپاشی، مشکل ریمان،
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
چکیده انگلیسی
We solve exactly the Riemann problem for the non-linear hyperbolic system governing blood flow in human veins and note that, as modeled here, veins do not admit complete collapse, that is zero cross-sectional area A. This means that the Cauchy problem will not admit zero cross-sectional areas as initial condition. In particular, rarefactions and shock waves (elastic jumps), classical waves in the conventional Riemann problem, cannot be connected to the zero state with A=0. Moreover, we show that the area A* between two rarefaction waves in the solution of the Riemann problem can never attain the value zero, unless the data velocity difference uRâuL tends to infinity. This is in sharp contrast to analogous systems such as blood flow in arteries, gas dynamics and shallow water flows, all of which admitting a vacuum state. We discuss the implications of these findings in the modelling of the human circulation system that includes the venous system.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 303, 15 June 2017, Pages 178-189
Journal: Applied Mathematics and Computation - Volume 303, 15 June 2017, Pages 178-189
نویسندگان
C. Spiller, E.F. Toro, M.E. Vázquez-Cendón, C. Contarino,