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- Silvia Lorenzani
- Philosophical transactions. Series A…
- 2011

In the present paper, we provide an analytical expression for the first- and second-order velocity slip coefficients by means of a variational technique that applies to the integrodifferential form of the Boltzmann equation based on the true linearized collision operator and the Cercignani-Lampis scattering kernel of the gas-surface interaction. The… (More)

Microflows occurring in MEMS are addressed by applying a continuum BEM code for quasi-static Stokes flow accounting for slip boundary condition. Working conditions typical of transition and rarefied flows are treated in a simplified manner by employing a viscosity corrected according to semi-analytical solutions for the linearized BGK model of Couette and… (More)

The evaporation of a liquid slab into vacuum is studied by numerical solutions of the Enskog-Vlasov equation for a fluid of spherical molecules interacting by Sutherland potential. The main aim of this work is to obtain the structure of the vapor-liquid interface in non-equilibrium conditions as well as the distribution function of evaporating molecules.… (More)

- C. Cereignani, Andrea Frangi, Silvia Lorenzani, Aldo Frezzotti
- EuroSime 2006 - 7th International Conference on…
- 2006

A three-dimensional quasi-static Stokes model, with a correction based on the kinetic theory of rarefied gas, is used to evaluate the damping forces exerted by gas flows on the moving surfaces of micromechanical structures in a wide range of pressures. Numerical results arc compared with the experimental data collected on a silicon biaxial accelerometer in… (More)

- Carlo Cercignani, Andrea Frangi, Silvia Lorenzani, B. Vigna
- EuroSime 2006 - 7th International Conference on…
- 2006

The analysis of fluid damping in micro-electro-mechanical-systems (MEMS) is addressed. A mixed fast multipole boundary element method based on both velocity and traction integral equations is employed and adapted in order to account for slip boundary conditions. The formulation presented is applied to the analysis of a biaxial accelerometer and validated… (More)

Rarefied gas flows in ultra-thin film slider bearings are studied in a wide range of Knudsen numbers. The generalized Reynolds equation first derived by Fukui and Kaneko [1], [2] has been extended by allowing for bounding surfaces with different physical structures, as an issue of relevance for applications. Since the solution of this equation requires that… (More)

- Bruno Franchi, Silvia Lorenzani
- J. Nonlinear Science
- 2016

In this paper, we study the homogenization of a set of Smoluchowski’s discrete diffusion-coagulation equations modeling the aggregation and diffusion of β-amyloid peptide (Aβ), a process associated with the development of Alzheimer’s disease. In particular, we define a periodically perforated domain Ω , obtained by removing from the fixed domain Ω (the… (More)

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