Generalized Boltzmann Equation: Slip-No -Slip Dynamic Transition in Flows of Strongly Non-Linear Fluids

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dc.creatorYakhot, Victor
dc.creatorChen, Hudong
dc.creatorStaroselsky, Ilia
dc.creatorWanderer, John
dc.creatorZhang, Raoyang
dc.date2004-11-09
dc.date2004-11-10
dc.date.accessioned2026-07-07T05:53:23Z
dc.date.available2026-07-07T05:53:23Z
dc.descriptionThe Navier-Stokes equations, are understood as the result of the low-order expansion in powers of dimensionless rate of strain $η_{ij}=τ_{0}S_{ij}$, where $τ_{0}$ is the microscopic relaxation time of a close-to- thermodynamic equilibrium fluid. In strongly sheared non-equilibrium fluids where $|η_{ij}|\geq 1$, the hydrodynamic description breaks down. According to Bogolubov's conjecture, strongly non-equlibrium systems are characterized by an hierarchy of relaxation times corresponding to various stages of the relaxation process. A "hydro-kinetic" equation with the relaxation time involving both molecular and hydrodynamic components proposed in this paper, reflects qualitative aspects of Bogolubov's hierarchy. It is shown that, applied to wall flows, this equation leads to qualitatively correct results in an extremely wide range of parameter $η$-variation. Among other features, it predicts the onset of slip velocity at the wall as an instability of the corresponding hydrodynamic approximation.
dc.description13 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/physics/0411105
dc.identifierhttp://arxiv.org/abs/physics/0411105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/86626
dc.subjectFluid Dynamics
dc.titleGeneralized Boltzmann Equation: Slip-No -Slip Dynamic Transition in Flows of Strongly Non-Linear Fluids
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