The Stability of a Dielectric Liquid Jet in the Presence of a Longitudinal Electric Field

Nayyar, Neha; Murty, G. S.

doi:10.1088/0370-1328/75/3/306

Cited by 64 publications

(32 citation statements)

References 1 publication

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“…(4-12) becomes (4)(5)(6)(7)(8)(9)(10)(11)(12)(13) found such that for each The boundary conditions of Table B-1 show that these conditions …”

Section: « While For Eh-iip or Mh-ii Waves E(2)mentioning

confidence: 95%

“…4-5, where the ratio of the major and minor axes would give a check on the magnitude of v~. Physically, these are the wave numbers that would predominate at a position z and time t. Equation (4-9) is then recognized as the familiar statement that [4][5][6][7][8][9][10] 58.…”

Section: « While For Eh-iip or Mh-ii Waves E(2)mentioning

confidence: 99%

“…It is convenient, in this connection, to consider the body force F as derived from the gradient of a stress tensor. (2)(3)(4)(5)(6)(7)(8)(9)(10)(11) where Ma~includes the Maxwell stress tensor (superficial forces of electromagnetic origin) and mechanical stresses, such as those due to surface tension. Superscripts will designate the region in which the variable is to be evaluated while single subscripts will indicate the axis directions.…”

mentioning

confidence: 99%

“…The boundary conditions of Equations (5-10) and (5)(6)(7)(8)(9)(10)(11)(12) are applicable, while the conditions that replace Equations (5-6) and (5-7) are:…”

mentioning

confidence: 99%

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Electrohydrodynamic and Magnetohydrodynamic Surface Waves and Instabilities

Melcher

1961

The Physics of Fluids

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Low-frequency dynamics of a plane fluid interface stressed by tangential or perpendicular electric or magnetic fields is studied emphasizing the duality of the magnetic and electric cases. Both configurations are shown to be controlled by an effective Alfvén velocity for the magnetic cases, and by an electrohydrodynamic dual to this velocity for the electric cases. A wavelength and threshold for instability are predicted for a surface stressed by a perpendicular field, and correlated with experimental results. This makes possible a critical experiment to determine the nature of interfacial electrostriction in dielectrics. A dielectric interface stressed by a tangential electric field supports incompressible electrohydrodynamic transverse waves that propagate along the lines of electric field intensity at a velocity strongly influenced by interfacial electrostriction. Experimental results indicate the existence of such waves.

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“…(4-12) becomes (4)(5)(6)(7)(8)(9)(10)(11)(12)(13) found such that for each The boundary conditions of Table B-1 show that these conditions …”

Section: « While For Eh-iip or Mh-ii Waves E(2)mentioning

confidence: 95%

Section: « While For Eh-iip or Mh-ii Waves E(2)mentioning

confidence: 99%

mentioning

confidence: 99%

“…The boundary conditions of Equations (5-10) and (5)(6)(7)(8)(9)(10)(11)(12) are applicable, while the conditions that replace Equations (5-6) and (5-7) are:…”

mentioning

confidence: 99%

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Electrohydrodynamic and Magnetohydrodynamic Surface Waves and Instabilities

Melcher

1961

The Physics of Fluids

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“…But, how disturbing can this be? Taking water as a purely dielectric liquid (no free charge) of r = 81 and performing a simple stability analysis as that performed by Nayyar & Murty [21], with Ca E ≈ 1, the analysis yields aspect ratios of Λ ≈ 100 (taking for the maximum length of the bridge the maximum unstable wavelength). In contrast, the highest aspect ratios observed experimentally rarely reach values of 10 (right images in figure 3).…”

Section: Axisymmetric Configuration: Stability Against Capillarymentioning

confidence: 99%

Building water bridges in air: Electrohydrodynamics of the floating water bridge

Marin

Lohse

2010

Physics of Fluids

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The interaction of electrical fields and liquids can lead to phenomena that defies intuition. Some famous examples can be found in Electrohydrodynamics as Taylor cones, whipping jets or noncoalescing drops. A less famous example is the Floating Water Bridge: a slender thread of water held between two glass beakers in which a high voltage difference is applied. Surprisingly, the water bridge defies gravity even when the beakers are separated at distances up to 2 cm. In the presentation, experimental measurements and simple models are proposed and discussed for the stability of the bridge and the source of the flow, revealing an important role of polarization forces on the stability of the water bridge. On the other hand, the observed flow can only be explained due to the non negligible free charge present in the surface. In this sense, the Floating Water Bridge can be considered as an extreme case of a leaky dielectric liquid (

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Fluid Ferroelectric Filaments

Máthé,

Perera,

Buka

et al. 2023

Advanced Science

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Freestanding slender fluid filaments of room‐temperature ferroelectric nematic liquid crystals are described. They are stabilized either by internal electric fields of bound charges formed due to polarization splay or by external voltage applied between suspending wires. The phenomenon is similar to those observed in dielectric fluids, such as deionized water, except that in ferroelectric nematic materials the voltages required are three orders of magnitudes smaller and the aspect ratio is much higher. The observed ferroelectric fluid threads are not only unique and novel but also offer measurements of basic physical quantities, such as the ferroelectric polarization and viscosity. Ferroelectric nematic fluid threads may have practical applications in nano‐fluidic micron‐size logic devices, switches, and relays.

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The Stability of a Dielectric Liquid Jet in the Presence of a Longitudinal Electric Field

Cited by 64 publications

References 1 publication

Electrohydrodynamic and Magnetohydrodynamic Surface Waves and Instabilities

Electrohydrodynamic and Magnetohydrodynamic Surface Waves and Instabilities

Building water bridges in air: Electrohydrodynamics of the floating water bridge

Fluid Ferroelectric Filaments

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