题目：Mathematical modeling, stability analysis and numerical computation for non-Newtonian fluid problems arising from industrial applications

内容简介：In this talk, I will present some recent work on stability analysis and numerical simulation for complex non-Newtonian fluid problems arising from industrial applications, such as inkjet printing and microfluidics.

Firstly, I will present results for the linear and nonlinear stability analysis the non-Newtonian viscoelastic liquid threads. I will provide two cases: one is a highly viscoelastic thread immersed in a Newtonian viscous fluid of much smaller density and viscosity inside a cylindrical tube, and the other is the surfactant-laden viscoelastic thread. One-dimensional longwave models are developed under the slender body approximation for these models. Linear stability and nonlinear numerical studies are performed. Results show that outer fluid may induce the satellite of secondary droplets and change substantially the beads-on-a-string structure of the viscoelastic thread. In addition, results also show that surfactant can affect the dynamics of the threads greatly, surface viscoelasticity of the surfactant can eliminate the satellite droplets, which has important potential implication for improving inkjet printing related applications.

Secondly, I will discuss the structure preserving numerical methods for solving viscoelastic Oldroyd-B flow model coupled with Poisson-Nernst-Planck system. Energy stable method is developed, the positive-definiteness preserving for the conformation tensor and positivity preserving for the ion concentrations are both achieved by using the logarithm transformation. Numerical examples confirm the properties of the proposed schemes. And viscoelastic flow with Weissenberg number up to 20 are computed, results show that elasticity destabilizes the flow structure and strongly influences the charge transport.

Finally, if time allows, I will also present some related work on developing structure preserving methods for two-phase flow with deformable membrane.

报告人：贺冬冬

报告人简介：贺冬冬，香港中文大学（深圳）理工学院副教授，他于2012年取得加拿大约克大学应用数学方向博士学位。从2012年到2013年，他在香港城市大学数学系从事博士后研究。加入香港中文大学（深圳）前，他曾在同济大学工作。 贺冬冬的研究兴趣包括：流体力学、计算流体力学、应用渐近分析、偏微分方程数值解等。他已经在Journal of Fluid Mechanics、Journal of Computational Physics、Computer Methods in Applied Mechanics and Engineering、Journal of Scientific Computing、Journal of Non-Newtonian Fluid Mechanics、Communications in Nonlinear Science and Numerical Simulation等期刊上发表论文五十余篇。

时间：2026年4月24日(周五) 13:30-14:30

地点：石牌校区南海楼338会议室