Navier - Stokes ALE free surface flow with generalized Navier slip conditions . Droplet impact and attempt using

نویسندگان

  • Adel M. Benselama
  • Jérôme Monnier
چکیده

Droplet impact onto a solid surface is modeled and numerically simulated using an ALE formulation of the Navier-Stokes free surface equations. The triple line dynamics aspect is modeled implicitely through the Shikhmurzaev theory. Those equations involve a generalized Navier slip boundary conditions with the variation of the surface tension near the triple line (thus a local Marangoni effect). Comsol Multiphysics 3.2 potentialities are investigated to implement the different components of this ALE free surface problem. Finally, some numerical results of the spreading phase are obtained using the algorithm elaborated and implemented into Micralef, a home-developed software. Key-words: Navier-stokes free surface, ALE, generalized Navier slip boundary conditions, triple line dynamics, droplet impact, Comsol multiphysics 3.2, Micralef. ∗ Lab. LJK, BP 53, F-38041 Grenoble Cedex 9, France † ‡ INPG & INRIA, Navier-Stokes ALE surface libre avec conditions de glissement de Navier generalisée. Impact de gouttelettes et tentative de simulations avec Comsol Multiphysics 3.2. Résumé : Nous nous intéressons à la modélisation numérique d’une gouttelette impactant un solide. Les équations sont celles de Navier-Stokes surface libre en formulation ALE. La dynamique de la ligne triple est implicitement modélisée par les équations de Shikhmurzaev. Ces équations introduisent une condition de glissement de Navier généralisée, avec un gradient de tension de surface (effet Marangoni localisé). Les potentialités du logiciel Comsol Multiphysics 3.2 pour résoudre ce problème sont étudiées. Finalement, nous obtenons des résultats basés sur les algorithmes établis mais implémentés au sein de Micralef, un code de calcul spécialement développé pour cette étude. Mots-clés : Navier-stokes surface libre, condition de glissement de Navier généralisée, dynamique de ligne triple, impact de gouttelette, Comsol multiphysics 3.2, Micralef. Navier-Stokes ALE free surface flow with generalized slip conditions. 3

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Navier - Stokes ALE free

Droplet impact onto a solid surface is modeled and numerically simulated using an ALE formulation of the Navier-Stokes free surface equations. The triple line dynamics aspect is modeled implicitely through the Shikhmurzaev theory. Those equations involve a generalized Navier slip boundary conditions with the variation of the surface tension near the triple line (thus a local Marangoni effect). ...

متن کامل

Mesh Update Techniques for Free-Surface Flow Solvers Using Spectral Element Method

This presentation will highlight the computational techniques we are developing for simulating incompressible free-surface flows using the Spectral Element Method (SEM) [9, 10]. These techniques include the arbitrary Lagrangian-Eulerian (ALE) formulation [2,3,5,11], mesh update and re-meshing methods [4, 7]. A brief introduction will be devoted to recalling the physical problem and its Navier-S...

متن کامل

A wall-function approach to incorporating Knudsen-layer effects in gas micro flow simulations

For gas flows in microfluidic configurations, the Knudsen layer close to the wall can comprise a substantial part of the entire flowfield and has a major effect on quantities such as the mass flow rate through micro devices. The Knudsen layer itself is characterized by a highly nonlinear relationship between the viscous stress and the strain rate of the gas, so even if the Navier-Stokes equatio...

متن کامل

Finite Integral Transform Based Solution of Second Grade Fluid Flow between Two Parallel Plates

The importance of the slip flow over the no-slip condition is widely accepted in microscopic scaled domains with the direct impact on microfluidic and nanofluidic systems. The popular Navier Stoke’s (N-S) flow model is largely utilized with the slip flow phenomenon. In the present study, the finite integral transform scheme along with the shift of variables is implemented to solve the equation ...

متن کامل

Scientific Flow Field Simulation of Cruciform Missiles Through the Thin Layer Navier Stokes Equations

The thin-layer Navier-Stokes equations are solved for two complete missile configurations on an IBM 3090-200 vectro-facility supercomputer. The conservation form of the three-dimensional equations, written in generalized coordinates, are finite differenced and solved on a body-fitted curvilinear grid system developed in conjunction with the flowfield solver. The numerical procedure is based on ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008