کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1707959 1519479 2014 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Derivation of Prandtl boundary layer equations for the incompressible Navier–Stokes equations in a curved domain
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Derivation of Prandtl boundary layer equations for the incompressible Navier–Stokes equations in a curved domain
چکیده انگلیسی

The proposal of this note is to derive the equations of boundary layers in the small viscosity limit for the two-dimensional incompressible Navier–Stokes equations defined in a curved bounded domain with the non-slip boundary condition. By using curvilinear coordinate system in a neighborhood of boundary, and the multi-scale analysis we deduce that the leading profiles of boundary layers of the incompressible flows in a bounded domain still satisfy the classical Prandtl equations when the viscosity goes to zero, which are the same as for the flows defined in the half space.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 34, August 2014, Pages 81–85
نویسندگان
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