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A Comprehensive Non-Linear Theory of Electro-Magneto-Hydro-Dynamics (EMHD)

This document presents a detailed analytical model of Electro-Magneto-Hydro-Dynamics (EMHD), derived from fundamental principles and material constitutive relations. The study examines the combined effects of unsteady electric and magnetic fields on polarizable and magnetizable fluids. A simpler EMGD model is introduced, focusing on second-order effects. The EMHD model is crucial for understanding non-linear cross effects and outlines the essential physical properties needed for the modeling of such flows, with applications in various fields such as combustion processes, marine vehicles, and pharmaceuticals.

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A Comprehensive Non-Linear Theory of Electro-Magneto-Hydro-Dynamics (EMHD)

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  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) 272-7376 fax: +1 (817) 272-5010 E-mail: dulikra@mae.uta.edu

  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.

  3. 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 secondorder . 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.

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