کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839664 1470483 2015 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic behavior of a non-Newtonian flow in a thin domain with Navier law on a rough boundary
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Asymptotic behavior of a non-Newtonian flow in a thin domain with Navier law on a rough boundary
چکیده انگلیسی

We consider a non-Newtonian flow in a thin domain of thickness εε. The flow is described by the 3D incompressible Navier–Stokes (Stokes) system with a nonlinear viscosity, being a power of the shear rate (power law) of flow index pp.The bottom of the domain is irregular by the presence of slight roughness of amplitude εδεδ and period εβεβ, satisfying the relation 1<β<δ1<β<δ. Assuming pure slip or partial slip with a friction coefficient ε−γε−γ, with γ>0γ>0, on the rough boundary, we consider the limit when domain thickness tends to zero and we obtain different models depending on the magnitude δδ with respect to 2p−1pβ−p−1p, and the magnitude γγ with respect to 1p−1.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 117, April 2015, Pages 99–123
نویسندگان
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