A mapping method for distributive mixing with diffusion: Interplay between chaos and diffusion in time-periodic sine flow

نویسندگان

  • Conor P. Schlick
  • Ivan C. Christov
  • Paul B. Umbanhowar
  • Julio M. Ottino
  • Richard M. Lueptow
چکیده

A mapping method for distributive mixing with diffusion: Interplay between chaos and diffusion in time-periodic sine flow Conor P. Schlick,1,a) Ivan C. Christov,1,2,b) Paul B. Umbanhowar,3 Julio M. Ottino,2,3,4 and Richard M. Lueptow3,4,c) 1Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, Illinois 60208, USA 2Department of Chemical and Biological Engineering, Northwestern University, Evanston, Illinois 60208, USA 3Department of Mechanical Engineering, Northwestern University, Evanston, Illinois 60208, USA 4The Northwestern Institute on Complex Systems (NICO), Northwestern University, Evanston, Illinois 60208, USA

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

A new adaptation of mapping method to study mixing of multiphase flows in mixers with complex geometries

The main objective of the present work is to modify the traditional mapping method for the simulation of distributive mixing of multiphase flows in geometries involving moving parts such as, internal mixers or twin-screw extruders without a limitation on their geometrical periodicity. The periodicity condition, limits the results of traditional mapping method to tracking mapping mesh between sp...

متن کامل

Experimental studies of front propagation and mode-locking in an advection-reaction-diffusion system

– Experiments are presented on reaction processes in a cellular, time-periodic fluid flow composed of a chain of oscillating vortices. Previous studies have shown that mixing of passive impurities in this flow is chaotic. Chemical fronts are studied in this flow using the excitable regime of the ruthenium-catalyzed Belousov-Zhabotinsky reaction. The velocities of the fronts are measured as a fu...

متن کامل

Competitive autocatalytic reactions in chaotic flows with diffusion: prediction using finite-time Lyapunov exponents.

We investigate chaotic advection and diffusion in autocatalytic reactions for time-periodic sine flow computationally using a mapping method with operator splitting. We specifically consider three different autocatalytic reaction schemes: a single autocatalytic reaction, competitive autocatalytic reactions, which can provide insight into problems of chiral symmetry breaking and homochirality, a...

متن کامل

Chaotic advection in a two-dimensional flow: L6vy flights and anomalous diffusion

Long-term particle tracking is used to study chaotic transport experimentally in laminar, chaotic, and turbulent flows in an annular tank that rotates sufficiently rapidly to insure two-dimensionality of the flow. For the laminar and chaotic velocity fields, the flow consists of a chain of vortices sandwiched between unbounded jets. In these flow regimes, tracer particles stick for long times t...

متن کامل

Chaotic mixing of granular materials in two-dimensional tumbling mixers.

We consider the mixing of similar, cohesionless granular materials in quasi-two-dimensional rotating containers by means of theory and experiment. A mathematical model is presented for the flow in containers of arbitrary shape but which are symmetric with respect to rotation by 180 degrees and half-filled with solids. The flow comprises a thin cascading layer at the flat free surface, and a fix...

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 2013