DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:**Nick Gewecke, University of Delaware

**Title: ***
Dynamics of Mushy Layers
*

**Abstract:**
Mushy zones are regions of intermixed liquid and solid which result from
instability due to the build-up of solute during solidification of
multispecies materials. A typical experiment consists of a
uniformly-mixed binary alloy (salt water, for instance) at uniform "warm"
temperature being placed upon a cold surface. In some cases, only a solid
layer grows from the bottom of the tank. In other cases, a slowly
advancing solid layer is capped by a rapidly advancing mushy layer. If
the cold temperature is very cold, the solid layer initially grows quite
rapidly as well. Common modelling assumptions include an infinite tank or
negligible solute diffusion, but allowing for a finite tank and solute
diffusion provides some very interesting results.

**Time:** Friday, Oct. 21, 2011, 1:30-2:30 p.m.

**Place:** Science and Tech I, Room 242

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491