Problems of Stationary Flow of Electrorheological Fluids in a Cylindrical Coordinate System

Hoppe, Ronald H. W.; Litvinov, William G.; Rahman, Talal

doi:10.1137/s0036139903432883

Cited by 5 publications

(7 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The viscosity function is identified by approximation of a set of flow curves which are obtained experimentally by viscometric testing for different electric fields. The inequalities (3.5)-(3.8) are consistent with the shapes of the flow curves and enable one to approximate a set of flow curves over a wide range of shear rates with high degree of accuracy (see [14]). …”

Section: = 4 ϕ(I(u) |E| µ(U E)) 2 I(u)supporting

confidence: 55%

“…The results of calculations presented in Section 6 and in [14] show that these assumptions are workable.…”

Section: Weak Solution Of the Problemmentioning

confidence: 91%

“…For the simulation, we consider the Rheobay TP AI 3656 Electrorheological fluid, a product of Rheobay [1,14]. The experimentally obtained flow curves (relating the shear stress to the shear rate) of this product, corresponding to different electric field strengths orthogonal to the velocity fields, have been approximated by cubic splines.…”

Section: On the Convergence Of Approximationsmentioning

confidence: 99%

“…The viscosity function was then calculated from these splines. see [14] for details. The calculations were fulfilled for the following data set, cf.…”

Section: On the Convergence Of Approximationsmentioning

confidence: 99%

See 3 more Smart Citations

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

Litvinov¹,

Rahman²,

Hoppe³

2007

Eur. J. Appl. Math

Self Cite

View full text Add to dashboard Cite

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. A problem on shock absorber reduces to solution of a coupled problem for motion equation of the piston and nonlinear equations of fluid flow in an unknown domain that varies with the time. A method of semi-discretization for approximate solution of the coupled problem is considered. Results on the existence and on the uniqueness of the solution of the coupled problem are obtained. Convergence of approximate solutions to the exact solution is proved. Numerical simulation of the operation of the shock absorber is performed.

show abstract

Section: = 4 ϕ(I(u) |E| µ(U E)) 2 I(u)supporting

confidence: 55%

“…The results of calculations presented in Section 6 and in [14] show that these assumptions are workable.…”

Section: Weak Solution Of the Problemmentioning

confidence: 91%

Section: On the Convergence Of Approximationsmentioning

confidence: 99%

“…The viscosity function was then calculated from these splines. see [14] for details. The calculations were fulfilled for the following data set, cf.…”

Section: On the Convergence Of Approximationsmentioning

confidence: 99%

See 2 more Smart Citations

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

Litvinov¹,

Rahman²,

Hoppe³

2007

Eur. J. Appl. Math

Self Cite

View full text Add to dashboard Cite

show abstract

“…These viscosity variations are very rapid and highly reversible. Owing to the sharp response of rheological alterations to an electric field, one may employ such fluids as smart materials for a wide range of applications [18][19][20][21][22]. Electrorheological fluids are generally nonaqueous suspensions of a noncontinuous phase (nanoparticles or microparticles) dispersed in a nonaqueous phase of continuous media [17,23,24].…”

Section: Introductionmentioning

confidence: 99%

Electro-osmosis of electrorheological fluids

2013

View full text Add to dashboard Cite

Electrorheological fluids are suspensions that are characterized by a strong functional dependence of the constitutive behavior of the fluids on the electric field. In this work, we consider electro-osmosis of an electrorheological fluid through a channel where a transverse, nonuniform electric field is spontaneously induced due to the presence of an electric double layer that is manifested due to surface charge density at the channel wall. We reveal a nonlinear interplay between the applied electric field, the induced electric field, and the observed flow profiles, which is fundamentally distinctive from other types of nonlinear electrokinetic effects that have been extensively discussed in the literature, in a sense that here an interaction between the applied electric field, the induced electric field, and the dependence of the rheology on the resultant electric field happens to be the focal source of nonlinearity in the observed phenomena. We analyze the electro-osmotic flow control through the exploitation of a combined nonlinear interplay of the driving electrokinetic forces and the resistive viscous interactions, which gives rise to distinctive flow regimes as compared to those realized in cases of either Newtonian fluids or non-Newtonian fluids having electric-field-independent flow rheology.

show abstract

Optimal control of electrorheological fluids through the action of electric fields

Reyes¹,

Yousept

2014

Comput Optim Appl

View full text Add to dashboard Cite

Problems of Stationary Flow of Electrorheological Fluids in a Cylindrical Coordinate System

Cited by 5 publications

References 12 publications

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

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

Electro-osmosis of electrorheological fluids

Optimal control of electrorheological fluids through the action of electric fields

Contact Info

Product

Resources

About