Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions
نویسندگان
چکیده
We consider a family of solutions to the evolutionary Navier-Stokes system supplemented with the complete slip boundary conditions on domains with rough boundaries. We give a complete description of the asymptotic limit by means of Γ−convergence arguments, and identify a general class of boundary conditions.
منابع مشابه
An Analytical Approach to the Effect of Viscous Dissipation on Shear-Driven Flow between two parallel plates with Constant Heat Flux Boundary Conditions
An investigation has been made to analyze the effects of viscous dissipation on the heat transfer characteristics for both hydro-dynamically and thermally fully developed, laminar shear driven flow between two infinitely long parallel plates, where the upper plate is moving in an axial direction at a constant speed. On the basis of some routine assumptions made in the literature, a close form a...
متن کاملInfluence of wall roughness on the slip behavior of viscous fluids
Recent developments in microfluidic and nanofluidic technologies have renewed interest in the influence of surface roughness on the slip behavior of viscous fluids (see the survey by PRIEZJEV and TROIAN [20] and the references cited therein). As a matter of fact, this issue have been subjected to discussion for over two centuries by many distinguished scientists who developed the foundations of...
متن کاملForced Convection Heat Transfer of Non-Newtonian Fluids Through Circular Ducts
The Galerkin finite element method is used to solve the three dimensional continuity, momentum and energy equations for laminar Newtonian and power-law model non-Newtonian flow through horizontal circular tube. The governing equations are non-dimensionalized with respect to specific variables and converted into algebraic equations using appropriate elements. To accelerate convergence a combinat...
متن کاملForced Convection Heat Transfer of Non-Newtonian Fluids Through Circular Ducts
The Galerkin finite element method is used to solve the three dimensional continuity, momentum and energy equations for laminar Newtonian and power-law model non-Newtonian flow through horizontal circular tube. The governing equations are non-dimensionalized with respect to specific variables and converted into algebraic equations using appropriate elements. To accelerate convergence a combinat...
متن کاملبررسی عددی اثر تلفات اصطکاکی و زبری سطح بر جریان سیال و انتقال حرارت در میکروکانال‌ها با استفاده از بسط اختلالات
In this paper, viscous dissipation and roughness effects on heat transfer and fluid flow are investigated in microchannels using perturbation method in slip flow regime. The flow is considered to be laminar, developing thermally and hydrodynamically, two-dimensional, incompressible and steady-state. The working fluid is air, flowing between two parallel plates. The equations obtained from devel...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008