Generalized lift force for complex fluid

Nedeff, Valentin; Bejenariu, Constantin; Lazăr, Gabriel; Agop, M.

doi:10.1016/j.powtec.2012.11.027

Cited by 19 publications

(21 citation statements)

References 19 publications

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“…In the following, using (13), (14) and (15) with ∇Q = ∇p/ρ, we analyze the dynamics of the complex uid in a plane symmetry. The presence of an external perturbation is specied by adequate initial and boundary conditions (e.g.…”

Section: A Numerical Simulationmentioning

confidence: 99%

“…This topic was developed in [13,14] using both the scale relativity theory (SRT) [10,11] and non-standard scale relativity theory (NSRT) [1529]. According to SRT or NSRT, the dynamics of complex uids entities takes place on continuous but non-dierentiable curves (fractal curves), so that all physical phenomena involved depend not only on space-time coordinates but also on space--time scale resolution.…”

Section: Introductionmentioning

confidence: 99%

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Some Aspects Concerning the "Memorization Effect" in Complex Fluid

et al. 2014

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In the frame of a non-standard scale relativity model, the specic momentum, states density and internal energy conservations laws are obtained. The chaoticity, either through turbulence in the fractal hydrodynamics approach, or through stochasticization in the Schrödinger type approach, is generated only by the non-dierentiability of the movement trajectories of the complex uid entities. Using the conservation laws mentioned above, by numerical simulations, hysteretic type eects (dynamics of hysteretic cycles) occur.

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Section: A Numerical Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Some Aspects Concerning the "Memorization Effect" in Complex Fluid

et al. 2014

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“…This topic was systematically developed in [24][25][26] using the Scale Relativity Theory (SRT) [20,21]. According to SRT the motion along a streamline, followed by a jump from one streamline to another in a Euclidian space, is replaced by motions on continuous but nondifferentiable curves (fractal curves) in a fractal space [17][18][19][20][21][22][23]27].…”

Section: Introductionmentioning

confidence: 99%

Solid components separation from heterogeneous mixtures through turbulence control

et al. 2015

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“…This topic was developed within scale relativity theory (SRT) [6,7] and non-standard scale relativity theory (NSSRT) [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. In this case, we assume that the movements of complex system entities take place on continuous, but non-differentiable, curves (fractal curves), so that all physical phenomena involved in the dynamics depend not only on space-time coordinates, but also on space-time scale resolution.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, the entities of the complex system may be reduced to and identified with their own trajectories, so that the complex system will behave as a special fluid lacking interaction (via their geodesics in a non-differentiable (fractal) space). We have called such fluid a "fractal fluid" [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Informational Non-Differentiable Entropy and Uncertainty Relations in Complex Systems

Agop

Gavriluţ

Crumpei³

et al. 2014

Entropy

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Considering that the movements of complex system entities take place on continuous, but non-differentiable, curves, concepts, like non-differentiable entropy, informational non-differentiable entropy and informational non-differentiable energy, are introduced.First of all, the dynamics equations of the complex system entities (Schrödinger-type or fractal hydrodynamic-type) are obtained. The last one gives a specific fractal potential, which generates uncertainty relations through non-differentiable entropy. Next, the correlation between informational non-differentiable entropy and informational non-differentiable energy implies specific uncertainty relations through a maximization principle of the informational non-differentiable entropy and for a constant value of the informational non-differentiable energy. Finally, for a harmonic oscillator, the constant value of the informational non-differentiable energy is equivalent to a quantification condition. Keywords:non-differentiable entropy; informational non-differentiable entropy; informational non-differentiable energy; uncertainty relations Entropy 2014, 16 6043

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Generalized lift force for complex fluid

Cited by 19 publications

References 19 publications

Some Aspects Concerning the "Memorization Effect" in Complex Fluid

Some Aspects Concerning the "Memorization Effect" in Complex Fluid

Solid components separation from heterogeneous mixtures through turbulence control

Informational Non-Differentiable Entropy and Uncertainty Relations in Complex Systems

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