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Navier–Stokes equations with slip boundary conditions

Mathematical Methods in the Applied Sciences, 2007
AbstractIn this paper, we consider incompressible viscous fluid flows with slip boundary conditions. We first prove the existence of solutions of the unsteady Navier–Stokes equations in n‐spacial dimensions. Then, we investigate the stability, uniqueness and regularity of solutions in two and three spacial dimensions.
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General expression of aerodynamic force under different boundary conditions (slip, partial slip, no-slip)

Physics of Fluids, 2021
Integral expression is derived for aerodynamic forces in unsteady separated flows of an incompressible Newtonian fluid via the characteristics of the flow on the body surface including the vortex flux generated by it. The expression obtained is valid for unsteady and steady flows under the no-slip or the partial slip boundary conditions in a viscous ...
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A Fluid Problem with Navier-Slip Boundary Conditions

2004
We study the equations governing the motion of second grade fluids in a bounded domain of ℝ d , d = 2, 3, with Navier slip boundary conditions with and without viscosity (averaged Euler equations). The main results concern the global existence and uniqueness of H 3 solutions in dimension two and, for dimension three, local existence of H 3 solutions ...
Busuioc, Adriana Valentina   +1 more
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Thin Film Traveling Waves and the Navier Slip Condition

SIAM Journal on Applied Mathematics, 2003
We consider the lubrication model for a thin film driven by competing gravitational forces and thermal gradients on an inclined plane. We are interested in the general traveling wave problem when the Navier slip boundary condition is used. We contrast (1) gravity dominated flow, (2) Marangoni dominated flow, and (3) flow in which the two driving ...
Andrea L. Bertozzi   +2 more
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The no-slip boundary condition in fluid mechanics

Resonance, 2004
Ideas leading to the resolut ion of the p rob lem of no-slip condi t ion for fluid veloci ty at a solid surface are t raced in this conc lud ing part of the article. In the c o n t i n u u m limit veloci ty slip being zero is es tabl ished beyond any doubt now.
Sandeep Prabhakara, M. D. Deshpande
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Frictional slip of granite at hydrothermal conditions

Journal of Geophysical Research: Solid Earth, 1995
Sliding on faults in much of the continental crust likely occurs at hydrothermal conditions, i.e., at elevated temperature and elevated pressure of aqueous pore fluids, yet there have been few relevant laboratory studies. To measure the strength, sliding behavior, and friction constitutive properties of faults at hydrothermal ...
Michael L. Blanpied   +2 more
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Modeling of Fretting Wear Under Gross Slip and Partial Slip Conditions Gross Slip and Partial Slip

2007
The paper presents a numerical model to investigate fretting wear either under partial or gross slip conditions. An efficient three-dimensional elastic–static contact model to solve both the normal contact problem and the tangential contact problem is presented. The contact model is validated with analytical solutions for a sphere on flat geometry.
Gallego, Ludovic, Nelias, Daniel
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Analysis of drag reduction with slip/no-slip boundary condition

The Proceedings of Conference of Hokuriku-Shinetsu Branch, 2004
Masato Hasegawa   +3 more
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