Model of an electro-rheological shock absorber and coupled problem for partial and ordinary differential equations with variable unknown domain

  • The amortization of a shock in an electrorheological shock absorber is carried out in the motion of a piston in an electrorheological fluid. The drag force acting on the piston is regulated by varying the voltage applied to electrodes. A model of an electrorheological shock absorber is constructed. The problem represents a coupled problem for the equations of motion of the piston and the nonlinear equations of fluid flow in an unknown domain that varies with time. Results on the existence and uniqueness of the solution are obtained. The convergence of approximate solutions is proved. Numerical simulation results are also provided.

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Author:William G. LitvinovGND, Talal Rahman, Ronald H. W. HoppeGND
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Series (Serial Number):Preprints des Instituts für Mathematik der Universität Augsburg (2007-22)
Publishing Institution:Universität Augsburg
Contributing Corporation:Department of Mathematics, University of Houston
Release Date:2007/07/04
Tag:Non-Newtonian fluids; electrorheological fluids; coupled problem; existence; uniqueness; numerical simulation
GND-Keyword:Strömungsmechanik; Nichtnewtonsche Flüssigkeit; Elektrorheologie; Numerische Strömungssimulation
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Numerische Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik