Department of Mathematics

Indian Institute Of Technology Madras , Chennai
  • Mathematics Department Shifted to NAC Office of the Department of Mathematics is moved from HSB to New Academic Complex (NAC) 5th and 6th Floor

Confinement and nonlocal elasticity effects in premelting dynamics

Speaker : Dr. Satyajit Pramanik (Post-doctoral Fellow, Nordita, Royal Institute of Technology and Stockholm University, Stockholm, Sweden)

08-02-2018

Abstract :

We study the combined effects of nonlocal elasticity and confinement induced ordering on the dynamics of thermomolecular pressure gradient driven premelted films bound by an elastic membrane. The confinement induced ordering is modeled using a film thickness dependent viscosity (Pramanik & Wettlaufer 2017 Phys. Rev. E 96, 052801). When there is no confinement induced ordering, we recover the similarity solution for the evolution of the elastic membrane, which exhibits an infinite sequence of oscillations (Wettlaufer et al. 1996 Phys. Rev. Lett. 76, 3602-3605). However, when the confinement-induced viscosity is comparable to the bulk viscosity, the numerical solutions of the full system reveal the conditions under which the oscillations vanish. Implications for general thermomechanical dynamics, frost heave observations, and cryogenic cell preservation are discussed.

Key Speaker Dr. Satyajit Pramanik (Post-doctoral Fellow, Nordita, Royal Institute of Technology and Stockholm University, Stockholm, Sweden)
Place NAC 522
Start Time 3:00 PM
Finish Time 4:00 PM
External Link None