2013
DOI: 10.1103/physreve.88.057002
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Reply to “Comment on ‘Hydrodynamics of fractal continuum flow’ and ‘Map of fluid flow in fractal porous medium into fractal continuum flow’ ”

Abstract: The aim of this Reply is to elucidate the difference between the fractal continuum models used in the preceding Comment and the models of fractal continuum flow which were put forward in our previous articles [Phys. Rev. E 85, 025302(R) (2012); 85, 056314 (2012)]. In this way, some drawbacks of the former models are highlighted. Specifically, inconsistencies in the definitions of the fractal derivative, the Jacobian of transformation, the displacement vector, and angular momentum are revealed. The proper forms… Show more

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Cited by 8 publications
(3 citation statements)
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“…(23) and (24), the kinematics of these models is quite different due to the difference of metrics (see Ref. [44]). (20), metric (19), (21), and measure (22).…”
Section: Fractal Continuum Homogenization Of Fractal Mediamentioning
confidence: 99%
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“…(23) and (24), the kinematics of these models is quite different due to the difference of metrics (see Ref. [44]). (20), metric (19), (21), and measure (22).…”
Section: Fractal Continuum Homogenization Of Fractal Mediamentioning
confidence: 99%
“…whereas the deformations of fractal continua should satisfy the laws of momentum conservation allied with the Newton's first and second laws [44].…”
Section: Forces and Stresses In Fractal Continuummentioning
confidence: 99%
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