Prof. Zhong Zheng

School of Naval Architecture, Ocean & Civil Engineering, Shanghai Jiaotong University

时间：2023年9月22日（周五）上午10:00-11:30

地点：北京大学力学楼434会议室

Abstract:

In this talk, we introduce recent efforts towards a unified theory of gravity current, interfacial and unsaturated flows in a porous layer: (i) The influence of viscosity ratio is first identified, which leads to three solution branches (shock, rarefaction, traveling wave) for the shape evolution of the fluid-fluid interface; (ii) The influence of wetting and capillary forces is then clarified that distributes the wetting and non-wetting fluids gradually cross the sharp fluid-fluid interface; two more basic flow patterns (capillary film, compound wave) are also identified under the assumption of vertical gravitational-capillary equilibrium. Before we close the talk, we also briefly introduce the fixed-radius and finite-time drain-out regimes of viscous backflows following hydraulic fracturing of an elastic matrix.

Brief Biograph:

Dr. Zhong Zheng obtained his bachelor's degree (Thermal Engineering) from Tsinghua University, followed by a PhD degree (Mechanical & Aerospace Engineering) from Princeton University. After taking research and teaching positions at Princeton and Cambridge Universities, Zhong is currently on the faculty at Shanghai Jiao Tong University.

联系人：徐克