کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8901396 1631736 2018 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Peristaltic axisymmetric flow of a Bingham fluid
ترجمه فارسی عنوان
جریان متقاطع نفوذی یک مایع بینگام
کلمات کلیدی
مایعات بینگ، تقریب روانکاری، جریانهای پرانرژی، گسترش انعطاف پذیر، موج حرکتی، شبیه سازی عددی،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
We model the peristaltic flow of a Bingham fluid in a tube in lubrication approximation. Following the procedure developed in Fusi et al. (2015a) we derive the rigid plug equation using an integral formulation for the balance of linear momentum, modelling the unyielded domain as an evolving non-material volume. The mathematical problem is formulated for the yielded and unyielded part and appropriate boundary conditions are established at the pipe walls and at the yield surface. The zero order approximation leads to a system formed by an integral equation and an algebraic equation for the yield surface and for the plug velocity (which is uniform in space), respectively. Because of the integral approach adopted in the unyielded part of the flow, the leading order approximation does not give rise to the lubrication paradox. The problem is solved numerically and an analytical solution is found when the oscillating wall is given as a small perturbation of the uniform wall.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 320, 1 March 2018, Pages 1-15
نویسندگان
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