NDLI: Nondimensional Analysis of Electrorheological and Magnetorheological Dampers Using a Herschel-Bulkley Constitutive Model

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Norman, M. Wereley
Copyright Year	2003
Abstract	Quasisteady modeling of linear stroke flow mode magnetorheological (MR) and electrorheological (ER) dampers has focused primarily on the utilization of the Bingham-plastic constitutive model to assess performance metrics such as damping capacity. In such Bingham-plastic MR (or ER) flows, the yield stress of the fluid, τy, is activated by applying magnetic (or electric) field. The Bingham-plastic model assumes that the material is in either (1) a preyield condition where the local shear stress is less than the yield stress, τ < τy, or (2) a postyield condition, where the local shear stress is greater than the yield stress, τ > τy, so that the material flows with a constant postyield viscosity. The objective of this paper is to analyze the damping capacity of such a controllable MR or ER damper in the situation when the field dependent fluid exhibits postyield shear thinning or thickening behavior, that is, the postyield viscosity is a function of shear rate. A Herschel-Bulkley model with a field dependent yield stress is proposed, and the impact of shear rate dependent viscosity on damping capacity is assessed. Key analysis results — velocity profile, shear stress profile, and damping coefficient — are presented in a nondimensional formulation that is consistent with prior results for the Bingham-plastic analysis. The nondimensional analysis formulated here clearly establishes the Bingham number as the independent variable for assessing flow mode damper performance.
Sponsorship	Fluids Engineering Division
Starting Page	1587
Ending Page	1594
Page Count	8
File Format	PDF
ISBN	0791836975
DOI	10.1115/FEDSM2003-45046
e-ISBN	0791836738
Volume Number	Volume 2: Symposia, Parts A, B, and C
Conference Proceedings	ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference
Language	English
Publisher Date	2003-07-06
Publisher Place	Honolulu, Hawaii, USA
Access Restriction	Subscribed
Subject Keyword	Damping Viscosity Fluids Dampers Shear stress Shear (mechanics) Flow (dynamics) Yield stress Modeling Constitutive equations Shear rate
Content Type	Text
Resource Type	Article

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