Entropy Stability and the No-Slip Wall Boundary Condition
نویسندگان
چکیده
منابع مشابه
Microfluidics: The No-Slip Boundary Condition
The no-slip boundary condition at a solid-liquid interface is at the center of our understanding of fluid mechanics. However, this condition is an assumption that cannot be derived from first principles and could, in theory, be violated. In this chapter, we present a review of recent experimental, numerical and theoretical investigations on the subject. The physical picture that emerges is that...
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2 History of the no-slip condition 2 2.1 The previous centuries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.2 Terminology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.3 Traditional situations where slip occurs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.4 Newtonian liquids: no-sl...
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This paper offers a simple macroscopic approach to the question of the slip boundary condition to be imposed upon the tangential component of the fluid velocity at a solid boundary. Plausible reasons are advanced for believing that it is the energy equation rather than the momentum equation that determines the correct fluid-mechanical boundary condition. The scheme resulting therefrom furnishes...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2018
ISSN: 0036-1429,1095-7170
DOI: 10.1137/16m1097225