Asset Details
Do you wish to reserve the book?
On Target Pattern Formation in the CHNS system
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
On Target Pattern Formation in the CHNS system
Do you wish to request the book?
On Target Pattern Formation in the CHNS system
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Paper
On Target Pattern Formation in the CHNS system
2025
Overview
We study the concentration field in a prescribed 2D Cahn-Hilliard Navier-Stokes (CHNS) system. We formulate a description for the target pattern formation and pattern merging processes, and compare this description with simulation results. Shear-augmented diffusion along streamlines causes a separation of time scales, thus 2D CHNS system can be simplified to a 1D system. In this 1D system, target pattern formation is induced by linear instability. The waveform of patterns are described by Jacobi Elliptic Functions. The interface (of pattern) migration or coarsening velocity is determined by the derivative of interface curvature. The anomalous migration of inner pattern can be explained by the singularity at the origin and therefore the boundary motion in the quasi-one-dimension system. Finally we derive a simple criterion for when CHNS system becomes dynamic by following similar cases in MHD.
Publisher
Cornell University Library, arXiv.org
Subject
