Electroviscoelasticity of liquid/liquid interfaces: fractional-order model
Само за регистроване кориснике
2005
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
A number of theories that describe the behavior of liquid-liquid interfaces have been developed and applied to various dispersed systems, e.g., Stokes, Reiner-Rivelin, Ericksen, Einstein, Smoluchowski, and Kinch. A new theory of electroviscoelasticity describes the behavior of electrified liquid-liquid interfaces in fine dispersed systems and is based on a new constitutive model of liquids. According to this model liquid-liquid droplet or droplet-film structure (collective of particles) is considered as a macroscopic system with internal structure determined by the way the molecules (ions) are tuned (structured) into the primary components of a cluster configuration. How the tuning/structuring, occurs depends on the physical fields involved, both potential (elastic forces) and nonpotential (resistance forces). All these microelements of the primary structure can be considered as electromechanical oscillators assembled into groups, so that excitation by an external physical field may ca...use oscillations at the resonant/characteristic frequency of the system itself (coupling at the characteristic frequency). Up to now, three possible mathematical formalisms have been discussed related to the theory of electroviscoelasticity. The first is the tension tensor model, where the normal and tangential forces are considered, only in mathematical formalism, regardless of their origin (mechanical and/or electrical). The second is the Van der Pol derivative model, presented by linear and nonlinear differential equations. Finally, the third model presents an effort to generalize the previous Van der Pol equation: the ordinary time derivative and integral are now replaced with the corresponding fractional-order time derivative and integral of order p lt 1.
Кључне речи:
fractional-order model / finely dispersed systems / emulsions / electroviscoelasticity / double emulsions / deformable interfacesИзвор:
Journal of Colloid and Interface Science, 2005, 282, 1, 223-230Издавач:
- Academic Press Inc Elsevier Science, San Diego
DOI: 10.1016/j.jcis.2004.08.113
ISSN: 0021-9797
PubMed: 15576102
WoS: 000225953900030
Scopus: 2-s2.0-9644258891
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Spasić, Aleksandar M. AU - Lazarević, Mihailo PY - 2005 UR - https://machinery.mas.bg.ac.rs/handle/123456789/487 AB - A number of theories that describe the behavior of liquid-liquid interfaces have been developed and applied to various dispersed systems, e.g., Stokes, Reiner-Rivelin, Ericksen, Einstein, Smoluchowski, and Kinch. A new theory of electroviscoelasticity describes the behavior of electrified liquid-liquid interfaces in fine dispersed systems and is based on a new constitutive model of liquids. According to this model liquid-liquid droplet or droplet-film structure (collective of particles) is considered as a macroscopic system with internal structure determined by the way the molecules (ions) are tuned (structured) into the primary components of a cluster configuration. How the tuning/structuring, occurs depends on the physical fields involved, both potential (elastic forces) and nonpotential (resistance forces). All these microelements of the primary structure can be considered as electromechanical oscillators assembled into groups, so that excitation by an external physical field may cause oscillations at the resonant/characteristic frequency of the system itself (coupling at the characteristic frequency). Up to now, three possible mathematical formalisms have been discussed related to the theory of electroviscoelasticity. The first is the tension tensor model, where the normal and tangential forces are considered, only in mathematical formalism, regardless of their origin (mechanical and/or electrical). The second is the Van der Pol derivative model, presented by linear and nonlinear differential equations. Finally, the third model presents an effort to generalize the previous Van der Pol equation: the ordinary time derivative and integral are now replaced with the corresponding fractional-order time derivative and integral of order p lt 1. PB - Academic Press Inc Elsevier Science, San Diego T2 - Journal of Colloid and Interface Science T1 - Electroviscoelasticity of liquid/liquid interfaces: fractional-order model EP - 230 IS - 1 SP - 223 VL - 282 DO - 10.1016/j.jcis.2004.08.113 ER -
@article{ author = "Spasić, Aleksandar M. and Lazarević, Mihailo", year = "2005", abstract = "A number of theories that describe the behavior of liquid-liquid interfaces have been developed and applied to various dispersed systems, e.g., Stokes, Reiner-Rivelin, Ericksen, Einstein, Smoluchowski, and Kinch. A new theory of electroviscoelasticity describes the behavior of electrified liquid-liquid interfaces in fine dispersed systems and is based on a new constitutive model of liquids. According to this model liquid-liquid droplet or droplet-film structure (collective of particles) is considered as a macroscopic system with internal structure determined by the way the molecules (ions) are tuned (structured) into the primary components of a cluster configuration. How the tuning/structuring, occurs depends on the physical fields involved, both potential (elastic forces) and nonpotential (resistance forces). All these microelements of the primary structure can be considered as electromechanical oscillators assembled into groups, so that excitation by an external physical field may cause oscillations at the resonant/characteristic frequency of the system itself (coupling at the characteristic frequency). Up to now, three possible mathematical formalisms have been discussed related to the theory of electroviscoelasticity. The first is the tension tensor model, where the normal and tangential forces are considered, only in mathematical formalism, regardless of their origin (mechanical and/or electrical). The second is the Van der Pol derivative model, presented by linear and nonlinear differential equations. Finally, the third model presents an effort to generalize the previous Van der Pol equation: the ordinary time derivative and integral are now replaced with the corresponding fractional-order time derivative and integral of order p lt 1.", publisher = "Academic Press Inc Elsevier Science, San Diego", journal = "Journal of Colloid and Interface Science", title = "Electroviscoelasticity of liquid/liquid interfaces: fractional-order model", pages = "230-223", number = "1", volume = "282", doi = "10.1016/j.jcis.2004.08.113" }
Spasić, A. M.,& Lazarević, M.. (2005). Electroviscoelasticity of liquid/liquid interfaces: fractional-order model. in Journal of Colloid and Interface Science Academic Press Inc Elsevier Science, San Diego., 282(1), 223-230. https://doi.org/10.1016/j.jcis.2004.08.113
Spasić AM, Lazarević M. Electroviscoelasticity of liquid/liquid interfaces: fractional-order model. in Journal of Colloid and Interface Science. 2005;282(1):223-230. doi:10.1016/j.jcis.2004.08.113 .
Spasić, Aleksandar M., Lazarević, Mihailo, "Electroviscoelasticity of liquid/liquid interfaces: fractional-order model" in Journal of Colloid and Interface Science, 282, no. 1 (2005):223-230, https://doi.org/10.1016/j.jcis.2004.08.113 . .