We consider the effects of thermal noise on Batchelor-Kraichnan theory high Schmidt-number mixing in viscous dissipation range turbulent flows at sub-Kolmogorov scales. Starting with nonlinear Landau-Lifshitz fluctuating hydrodynamic equations for a binary fluid mixture low Mach numbers, we justify linearization around deterministic Navier-Stokes solution range. For latter adopt standard Kraich...

Fluid mixing is a crucial and challenging process for microfluidic systems, which are widely used in biochemical processes. Because of their fast performance, active micromixers that use stirrer blades are considered for biological applications. In the present study, by using a robust and convenient Incompressible Smoothed Particle Hydrodynamics (ISPH) method, miscible mix...

Jörg Schumacher Fachbereich Physik, Philipps-Universität Marburg, D-35032 Marburg, Germany Herwig Zilken Visualization Laboratory, Zentralinstitut für angewandte Mathematik, Forschungszentrum Jülich, D-52425 Jülich, Germany Bruno Eckhardt Fachbereich Physik, Philipps-Universität Marburg, D-35032 Marburg, Germany Katepalli R. Sreenivasan International Centre for Theoretical Physics, 34014 Triest...