APPM Colloquium - MIchael Shearer

Michael Shearer, Department of Mathematics, North Carolina State University

Granular flow: Particle Size Segregation and New Constitutive Laws

The segregation of particles of different sizes can be achieved by vibration or by shear flow. I describe a nonlinear conservation law that captures the main features of segregation under shear flow, such as occurs in an avalanche. Predictions of the theory are tested against experiments in a Couette cell.  The partial differential equation has interesting mathematical properties that are explored through analysis, explicit solutions and numerical simulation. In the second half of the talk I introduce constitutive laws for two-dimensional time dependent flow that lead to linear well-posedness. The new theory, known as the CIDR rheology, specifies a yield condition and flow rule related to the mu(I) rheology, but including 
compressibility that is crucial to establishing well-posedness.  

Friday, November 30, 2018 at 3:00pm to 4:00pm


Engineering Center, Room 245
1111 Engineering Drive, Boulder, CO 80309

Event Type

Colloquium/Seminar

Interests

Science & Technology, Research & Innovation

Audience

General Public, Faculty, Students, Graduate Students, Postdoc

College, School & Unit

Engineering & Applied Science

Tags

colloquium, fall 2018, APPM

Group
Applied Mathematics
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