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Publication 14-CNA-014

Passive Scalars, Moving Boundaries, and Newton's Law of Cooling

Juhi Jang
Department of Mathematics
University of California, Riverside
Riverside, CA
juhijang@math.ucr.edu

Ian Tice
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
ian.tice@andrew.cmu.edu

Abstract: We study the evolution of passive scalars in both rigid and moving slab-like domains, in both horizontally periodic and infinite contexts. The scalar is required to satisfy Robin-type boundary conditions corresponding to Newton's law of cooling, which lead to nontrivial equilibrium configurations. We study the equilibration rate of the passive scalar in terms of the parameters in the boundary condition and the equilibration rates of the background velocity field and moving domain.

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