Fractional order model of electroviscoelasticity of liquid-liquid interfaces: nonlinear case
Само за регистроване кориснике
2005
Конференцијски прилог (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, Kinch, etc. 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).
Ali these microelements of the primary structure can be considered as electromechanical
oscillators assembled into groups, so that excitation by an external physical fi...eld may cause
oscillations at the resonant/characteristic frequency of the system itself (coupling at the
characteristic frequency). Up to day, there are three possible mathematical formalisms
discussed related to the theory of electroviscoelasticity. The first is tension tensor model,
where the normal and tangential forces are considered, only in mathematical formalism,
regardless to their origin (mechanical and/or electrical). The second is Van der Pol derivative
model. Finally, the third, here presented model comprise an effort to generalize the previous
Van der Pol differential equations, nonlinear; i.e. the ordinary time derivatives and integrals
are now replaced by corresponding fractional-order time derivatives and integrals. Fractional
derivatives provide an excellent instrument for the description of memory and hereditary
properties of various materials and processes. The theory of electroviscoelasticity, i.e., its
physical and mathematical formalism, using fractional calculus become more realistic and
compatible, and can be helpful in solving entrainment problems in solvent extraction and in
studies of fine dispersed systems (micro, nano and atto, suspensions, emulsions, fluosols,
foams and beams/streams of entities), the physics of liquids and biological systems.
Кључне речи:
fractional order / liquid-liquid interfaces / Van der Pol derivative model / electroviscoelasticityИзвор:
Book of abstracts 25th Yugoslav Congress on Theoretical and Applied Mechanics, Novi Sad, Serbia, June 1-3,2005, 1-11, 2005, 86-86Издавач:
- Jugoslovensko drustvo za Mehaniku
- Novi Sad: Fakultet tehničkih nauka
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Lazarević, Mihailo AU - Spasić, Aleksandar PY - 2005 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5488 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, Kinch, etc. 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). Ali 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 day, there are three possible mathematical formalisms discussed related to the theory of electroviscoelasticity. The first is tension tensor model, where the normal and tangential forces are considered, only in mathematical formalism, regardless to their origin (mechanical and/or electrical). The second is Van der Pol derivative model. Finally, the third, here presented model comprise an effort to generalize the previous Van der Pol differential equations, nonlinear; i.e. the ordinary time derivatives and integrals are now replaced by corresponding fractional-order time derivatives and integrals. Fractional derivatives provide an excellent instrument for the description of memory and hereditary properties of various materials and processes. The theory of electroviscoelasticity, i.e., its physical and mathematical formalism, using fractional calculus become more realistic and compatible, and can be helpful in solving entrainment problems in solvent extraction and in studies of fine dispersed systems (micro, nano and atto, suspensions, emulsions, fluosols, foams and beams/streams of entities), the physics of liquids and biological systems. PB - Jugoslovensko drustvo za Mehaniku PB - Novi Sad: Fakultet tehničkih nauka C3 - Book of abstracts 25th Yugoslav Congress on Theoretical and Applied Mechanics, Novi Sad, Serbia, June 1-3,2005, 1-11 T1 - Fractional order model of electroviscoelasticity of liquid-liquid interfaces: nonlinear case EP - 86 SP - 86 UR - https://hdl.handle.net/21.15107/rcub_machinery_5488 ER -
@conference{ author = "Lazarević, Mihailo and Spasić, Aleksandar", 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, Kinch, etc. 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). Ali 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 day, there are three possible mathematical formalisms discussed related to the theory of electroviscoelasticity. The first is tension tensor model, where the normal and tangential forces are considered, only in mathematical formalism, regardless to their origin (mechanical and/or electrical). The second is Van der Pol derivative model. Finally, the third, here presented model comprise an effort to generalize the previous Van der Pol differential equations, nonlinear; i.e. the ordinary time derivatives and integrals are now replaced by corresponding fractional-order time derivatives and integrals. Fractional derivatives provide an excellent instrument for the description of memory and hereditary properties of various materials and processes. The theory of electroviscoelasticity, i.e., its physical and mathematical formalism, using fractional calculus become more realistic and compatible, and can be helpful in solving entrainment problems in solvent extraction and in studies of fine dispersed systems (micro, nano and atto, suspensions, emulsions, fluosols, foams and beams/streams of entities), the physics of liquids and biological systems.", publisher = "Jugoslovensko drustvo za Mehaniku, Novi Sad: Fakultet tehničkih nauka", journal = "Book of abstracts 25th Yugoslav Congress on Theoretical and Applied Mechanics, Novi Sad, Serbia, June 1-3,2005, 1-11", title = "Fractional order model of electroviscoelasticity of liquid-liquid interfaces: nonlinear case", pages = "86-86", url = "https://hdl.handle.net/21.15107/rcub_machinery_5488" }
Lazarević, M.,& Spasić, A.. (2005). Fractional order model of electroviscoelasticity of liquid-liquid interfaces: nonlinear case. in Book of abstracts 25th Yugoslav Congress on Theoretical and Applied Mechanics, Novi Sad, Serbia, June 1-3,2005, 1-11 Jugoslovensko drustvo za Mehaniku., 86-86. https://hdl.handle.net/21.15107/rcub_machinery_5488
Lazarević M, Spasić A. Fractional order model of electroviscoelasticity of liquid-liquid interfaces: nonlinear case. in Book of abstracts 25th Yugoslav Congress on Theoretical and Applied Mechanics, Novi Sad, Serbia, June 1-3,2005, 1-11. 2005;:86-86. https://hdl.handle.net/21.15107/rcub_machinery_5488 .
Lazarević, Mihailo, Spasić, Aleksandar, "Fractional order model of electroviscoelasticity of liquid-liquid interfaces: nonlinear case" in Book of abstracts 25th Yugoslav Congress on Theoretical and Applied Mechanics, Novi Sad, Serbia, June 1-3,2005, 1-11 (2005):86-86, https://hdl.handle.net/21.15107/rcub_machinery_5488 .