کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1705656 1012437 2010 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multiscale analysis and numerical simulation for stability of the incompressible flow of a Maxwell fluid
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Multiscale analysis and numerical simulation for stability of the incompressible flow of a Maxwell fluid
چکیده انگلیسی

How to predict the stability of a small-scale flow subject to perturbations is a significant multiscale problem. It is difficult to directly study the stability by the theoretical analysis for the incompressible flow of a Maxwell fluid because of its analytical complexity. Here, we develop the multiscale analysis method based on the mathematical homogenization theory in the stress–stream function formulation. This method is used to derive the homogenized equation which governs the transport of the large-scale perturbations. The linear stabilities of the large-scale perturbations are analyzed theoretically based on the linearized homogenized equation, while the effect of the nonlinear terms on the linear stability results is discussed numerically based on the nonlinear homogenized equation. The agreements between the multiscale predictions and the direct numerical simulations demonstrate the multiscale analysis method is effective and credible to predict stabilities of flows.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 34, Issue 3, March 2010, Pages 763–775
نویسندگان
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