Nonlinear dynamics of magnetic fluids with a relative motion in the presence of an oblique magnetic field

Zakaria, Kadry

doi:10.1016/s0378-4371(03)00393-5

Cited by 22 publications

(16 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Application of a magnetic field component parallel to the sheet interfaces tends to stabilize the sheet flow [143]. The stability of Kelvin -Helmholtz waves propagating on the interface between two magnetic fluids stressed by an oblique magnetic field has also been analyzed for free fluids [144] and for fluids streaming through porous media [145 & ].…”

Section: Kelvin -Helmholtz Instabilitymentioning

confidence: 99%

Magnetic fluid rheology and flows

Rinaldi

Chaves

Elborai

et al. 2005

Current Opinion in Colloid & Interface Science

187

View full text Add to dashboard Cite

Section: Kelvin -Helmholtz Instabilitymentioning

confidence: 99%

Magnetic fluid rheology and flows

Rinaldi

Chaves

Elborai

et al. 2005

Current Opinion in Colloid & Interface Science

187

View full text Add to dashboard Cite

“…To obtain stability of this solution, near the marginal state, we use the concept of modulation [8,9,10,11,12], so we perturb the steady solution, linearly, to have A = a(ζ, ξ) for which its evolution is described by…”

Section: Nonlinear Interfacial Waves In Streaming Flows 271mentioning

confidence: 99%

“…Many investigators, such as Hasimoto and Ono [8], Nayfeh [9], Newton and Keller [10] and Zakaria [11,12] examined the linear stability of a finite-amplitude wave train propagating through the interface. They perturbed the solution of the evolution equations linearly.…”

mentioning

confidence: 99%

Nonlinear interfacial waves in streaming flows

Zakaria

2009

Quart. Appl. Math.

View full text Add to dashboard Cite

Abstract. The nonlinear interfacial waves between viscous immiscible liquids have been analyzed, using the concepts of viscous potential flow and Kelvin-Helmholtz instability. The method of multiple scales is used for determining the evolution equations that are near and on the marginal state of the linear theory. We use the modulation concept in solving these equations to determine the stability criteria. Different numerical examples are considered that show the system is at greater risk of instability when the velocity of the stream is larger, whereas the effects of viscosity can be stabilizing or destabilizing. Introduction.We know from Joseph et al. [1,2,3,4,5,6,7] that the NavierStokes equations are satisfied by potential flow; the viscous term is not found when the vorticity is zero, but the viscous stresses are not zero. The viscous stresses enter into the viscous potential flow analysis of free surface problems through the normal stress balance at the interface. Using viscous potential flow analysis, Joseph et al. have given good approximations to fully viscous flows. Joseph, Belanger and Beavers [3] constructed a viscous potential flow analysis of the Rayleigh-Taylor instability. The normal stress is an extensional rather than a shear stress and it is activated by waves on the liquid; these waves are induced more by pressure than shear. For this reason, we can conclude that the neglect of shearing stress can be justified in wave motions in which the viscous resistance to wave motion is not negligible; this is a situation which may be well approximated by viscous potential flow. Joseph and Liao [1, 2] gave a review for the theory of viscous potential flow. Funada and Joseph [4] studied the viscous potential flow analysis of Kelvin-Helmholtz instability in a channel and they gave a linear study for the problem in an extended form. Their results match with the experiments. The growth rates of the fully viscous fluid analysis and viscous potential flow are matched. The success of viscous potential flow theory in the analysis of Rayleigh-Taylor instability has led to its use in the analysis of Kelvin-Helmholtz (KH) theory (Funada and Joseph [4]) given in this work. Wang and Joseph [7] constructed purely irrotational theories of the Stokes problem which are in good agreement with Lamb's exact solution.

show abstract

“…It is shown that the heat transfer coefficient of magnetic fluids is much higher than that of the liquids, which without any magnetic particles--in the presence of a rotating magnetic field, it is 15 times higher, and in the presence of a static magnetic field, it is one time higher [7,8] . Furthermore, magnetic fluids can also affect the transfer behaviors between phase interfaces [9,10] .…”

Section: Introductionmentioning

confidence: 99%

Effects of magnetic fluids on crystallization characterizations in a multi-component and multiphase system

Shu

Shen

Mei-yuan

et al. 2008

Sci. China Ser. B-Chem.

View full text Add to dashboard Cite

In this study, experiments are carried out on the effects of magnetic fluids on the crystallization characterizations in a multi-component and multiphase system, which contains the liquid and the vapor of HCFC141b, water, water vapor, and gas hydrates. The mass transfer phenomena between the phase interfaces of water-HCFC141b and water-vapor are also researched. The experimental results show that in the presence of a rotary magnetic field, magnetic fluids can remarkably enhance the heat and mass transfer between phase interfaces and, therefore, improve the performance of crystallization, especially in improving the formation temperature and velocity. magnetic liquid, multiphase, crystallization characterization, heat and mass transfer

show abstract

Nonlinear dynamics of magnetic fluids with a relative motion in the presence of an oblique magnetic field

Cited by 22 publications

References 40 publications

Magnetic fluid rheology and flows

Magnetic fluid rheology and flows

Nonlinear interfacial waves in streaming flows

Effects of magnetic fluids on crystallization characterizations in a multi-component and multiphase system

Contact Info

Product

Resources

About