scholarly journals Flow of electrorheological fluid under conditions of slip on the boundary

2006 ◽  
Vol 2006 ◽  
pp. 1-14 ◽  
Author(s):  
R. H. W. Hoppe ◽  
M. Y. Kuzmin ◽  
W. G. Litvinov ◽  
V. G. Zvyagin
Keyword(s):  
Mathematical Model ◽  
Weak Solution ◽  
Electrorheological Fluid ◽  
Electrorheological Fluids ◽  
Topological Method

We study a mathematical model describing flows of electrorheological fluids. A theorem of existence of a weak solution is proved. For this purpose the approximating-topological method is used.

Finite Element Analysis of Electrorheological Fluids

1996 ◽  
Vol 10 (23n24) ◽  
pp. 2877-2884 ◽  
Author(s):  
R. Tao ◽  
Qi Jiang ◽  
H.K. Sim
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Electrorheological Fluid ◽  
Dipole Model ◽  
Electrorheological Fluids ◽  
Attractive Force ◽  
Element Analysis ◽  
Dielectric Particles ◽  
Neighbor Pair ◽  
The Finite Element Analysis

The Laplace equation for an infinite chain of dielectric particles in an electrorheological fluid is solved with the finite element analysis (FEA) method. The FEA results reveal that the dipole model gives a good approximation in calculating energy, even if neighbor particles are very close and the mismatch is moderate. However, the dipole model underestimates the pair attractive force when the particles are in or near contact. The conductor model is a good approximation when the two particles are near contact and the mismatch is very big. A formula to calculate the neighbor pair attractive force for the whole range is proposed. The FEA results agree with this formula reasonably well.

SEMI-ACTIVE CONTROL FOR VIBRATION SUPPRESSION IN A SYSTEM SUBJECTED TO UNKNOWN DISTURBANCES

1994 ◽  
Vol 04 (04) ◽  
pp. 379-393
Author(s):  
G. LEITMANN
Keyword(s):  
Vibration Suppression ◽  
Electrorheological Fluid ◽  
Electrorheological Fluids ◽  
Joint Control ◽  
Damping Characteristics ◽  
Control Schemes ◽  
Unknown Disturbances ◽  
Simulation Results ◽  
Stiffness And Damping ◽  
External Stimuli

With the advent of materials, such as electrorheological fluids, whose material properties can be altered rapidly by means of external stimuli, employing such materials as actuators for the controlled attenuation of undesirable vibrations is now possible. Such control schemes are dubbed semi-active in that they attenuate vibrations whether applied actively or passively. We investigate various such control schemes, allowing for both separate and joint control of the stiffness and damping characteristics of the material. Simulation results are given for the case of an electrorheological fluid.

scholarly journals Approximation of weak solution for the problem of a pH-gradient creation in isoelectrofocusing

2014 ◽  
Vol 470 (2171) ◽  
pp. 20140290
Author(s):  
L. V. Sakharova ◽  
E. V. Shiryaeva ◽  
M. Yu. Zhukov
Keyword(s):  
Mathematical Model ◽  
Aqueous Solution ◽  
Weak Solution ◽  
Differential Equations ◽  
Electric Field ◽  
Small Parameter ◽  
General Model ◽  
Smooth Functions ◽  
Piecewise Continuous ◽  
The Mathematical Model

The mathematical model describing the stationary natural pH -gradient arising under the action of an electric field in an aqueous solution of ampholytes is constructed and investigated. The model is a part of a more general model of the isoelectrofocusing process. Investigation is based on the approximation of a weak solution by the piecewise continuous non-smooth functions. The method can be used for solving classes of problems for ordinary differential equations with a small parameter at the highest derivatives and the turning points.

KINETICS OF ELECTRORHEOLOGICAL FLUID SPREADING OVER A HORIZONTAL SURFACE

2002 ◽  
Vol 16 (17n18) ◽  
pp. 2711-2717
Author(s):  
V. I. BAYKOV ◽  
E. V. KOROBKO
Keyword(s):  
Mathematical Model ◽  
Solid Surface ◽  
Electrorheological Fluid ◽  
Horizontal Surface ◽  
Unified Approach ◽  
Drop Spreading ◽  
Gravitational Forces ◽  
Fluid Drop ◽  
Horizontal Solid Surface ◽  
Kinetics Of

A Physical and Mathematical model of the process of fluid drop spreading is suggested which quantitatively describes all the stages of spreading kinetics on the basic of a unified approach. It has been established that gravitational forces exert a pronounced influence on the process of fluid drop spreading over a horizontal solid surface.

A PIEZOELECTRIC CONTACT PROBLEM WITH SLIP DEPENDENT COEFFICIENT OF FRICTION

2004 ◽  
Vol 9 (3) ◽  
pp. 229-242 ◽  
Author(s):  
M. Sofonea
Keyword(s):  
Mathematical Model ◽  
Weak Solution ◽  
Contact Problem ◽  
Coefficient Of Friction ◽  
Dry Friction ◽  
Variational Formulation ◽  
Frictional Contact ◽  
Coupled System ◽  
Piezoelectric Body ◽  
The Coefficient Of Friction

We consider a mathematical model which describes the static frictional contact between a piezoelectric body and an obstacle. The constitutive relation of the material is assumed to be electroelastic and involves a nonlinear elasticity operator. The contact is modelled with a version of Coulomb's law of dry friction in which the coefficient of friction depends on the slip. We derive a variational formulation for the model which is in form of a coupled system involving as unknowns the displacement field and the electric potential. Then we provide the existence of a weak solution to the model and, under a smallness assumption, we provide its uniqueness. The proof is based on a result obtained in [14] in the study of elliptic quasi‐variational inequalities.

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