BEGIN:VCALENDAR VERSION:2.0 PRODID:-//wp-events-plugin.com//6.6.4.4//EN TZID:Asia/Jerusalem X-WR-TIMEZONE:Asia/Jerusalem BEGIN:VEVENT UID:0-1181@aerospace.technion.ac.il DTSTART;TZID=Asia/Jerusalem:20250813T133000 DTEND;TZID=Asia/Jerusalem:20250813T143000 DTSTAMP:20250805T122054Z URL:https://aerospace.technion.ac.il/events/theoretical-study-of-brownian- particle-diffusion-in-generalized-shear-flows/ SUMMARY:Theoretical Study of Brownian Particle Diffusion in Generalized She ar flows DESCRIPTION:Lecturer:Nan Wang \n Faculty:The Stephen B. Klein Faculty of Ae rospace Engineering at the Technion \n Institute:Technion – Israel Insti tute of Technology\n Location:Classroom 165\, ground floor\, Library\, Aer ospace Eng.\n Zoom: https://technion.zoom.us/j/93549691766\n Abstract: Bro wnian particle diffusion in shear flows is of broad scientific and enginee ring interest\, with applications ranging from drug delivery and diffusion -based separation to sedimentation and soot dispersion in aerospace propul sion. In this study\, we present a mathematical framework for predicting t he diffusion of Brownian particles in parallel shear flows. By solving the Langevin equations using stochastic instead of classical calculus\, we pr opose a new mathematical formulation that resolves the particle MSD at all timescales\, both with and without external forcing\, in generalized two- dimensional parallel shear flow.\nIn the absence of constant forcing\, we observe three main stages in the evolution of particle diffusion for Couet te and plane Poiseuille flows\, and four main stages for a polynomial appr oximation of a hyperbolic tangent flow. The particle MSD is distinctly dif ferent across these stages due to different dominant physical mechanisms. In the presence of constant forcing\, the analysis reveals that the influe nce of the external body force emerges at long timescales and is primarily dependent on the flow velocity gradient. Notably\, the variance of partic le displacement undergoes a decline followed by a rise when particles are drifted crossing the region where the velocity gradient reverses sign.\nFo r unsteady flows\, we investigate the particle diffusion in time-periodic shear flows under the influence of a constant forcing in the transverse di rection. The results further demonstrate that particle diffusion in the st reamwise direction is markedly enhanced due to the combined effects of Bro wnian motion in the transverse direction\, the forcing term\, and flow vel ocity gradients.\n\n \;\n\nNan Wang is a Ph.D. candidate under the sup ervision of Professor Yuval Dagan in the faculty of Aerospace Engineering. Her research focuses on the theoretical investigation of Brownian particl e diffusion in shear flows.\n Details: \n CATEGORIES:Seminars,סמינרים LOCATION:Classroom 165\, ground floor\, Library\, Aerospace Eng. END:VEVENT BEGIN:VTIMEZONE TZID:Asia/Jerusalem X-LIC-LOCATION:Asia/Jerusalem BEGIN:DAYLIGHT DTSTART:20250328T030000 TZOFFSETFROM:+0200 TZOFFSETTO:+0300 TZNAME:IDT END:DAYLIGHT END:VTIMEZONE END:VCALENDAR