1. A FULLY NON-LINEAR THEORY OF ELECTRO-MAGNETO-HYDRO-DYNAMICS
 (EMHD)
George S. Dulikravich
Department of Mechanical & Aerospace Engineering
Multidisciplinary Analysis, Inverse Design and Optimization (MAIDO) Program
The University of Texas at Arlington
Arlington, TX 76019
phone: +1 (817) fax: +1 (817)

2. Applications: large-scale single crystal growth,
control of spray atomization in combustion processes,
reduction of drag of marine vehicles,
flow control in hypersonics,
fast response shock absorbers,
hydraulic transmission in automotive industry,
free-flow electrophoretic separation in pharmaceutics,
large scale liquid based food processing,
biological transport processes influenced by EM fields,
fuel cells and batteries,
electro-polymers and other smart materials, etc.

48. CONCLUSIONS
Starting from fundamental principles and material constitutive relations, a complete analytical model (EMGD) was derived for combined influence of unsteady electric and magnetic fields on a moving compressible fluid that is polarizable and magnetizable.
A simpler model of the EMGD was then derived by neglecting the terms which are higher than the second order .
A complete model for the incompressible flow-field under the combined influence of unsteady electric and magnetic fields (EMHD) was derived in a consistent manner.
The EMHD model allows for non-linear cross effects of electro-magnetic field and clearly specifies which physical properties need to be known for the modeling of such flows.