The main steps used in deriving the mathematical models governing the fluid flows are shown. The fluids and their motions presented are more complicate than those studied by fluid dynamics. However, the relative position of fluid dynamics vs. thermodynamics of fluids is analyzed. The mathematical ...
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water dynamicswater thermodynamicsWidom lineSupercritical fluid pseudo-boiling (PB), recently brought to the attention of the scientific community, is the phenomenon occurring when fluid changes its structure from liquid-like (LL) to gas-like (GL) states across the Widom line. This work provides ...
There is still another family of machine learning techniques that consider the learning process as a sort of regression procedure operating on an Ordinary Differential Equation (ODE) governing the dynamics of the system. These techniques can be seen as a particular instance of the proposal by Weinan...
This result confirms that Fr plays an important role in the understanding the dynamics of walking gait, in line with results from past studies [7,27]. 4.2.1 Bipedal locomotion vs. quadruped locomotion As mentioned in the previous sections, the global impression of the human anatomy is that ...
C. Scaling of Lennard-Jones liquid elastic moduli, viscoelasticity and other properties along fluid–solid coexistence. Phys. Status Solidi (b) 252, 1514–1525 (2015). 36. Ding, Y. & Mittal, J. Equilibrium and nonequilibrium dynamics of soft sphere fluids. Soft Matter 11, 5274–5281 (2015...
the collective dynamics are dominated by the non-monotonic shape of the chemical potential and its subsequent concentration-dependent exchange current density52. Since we are close to equilibrium conditions (C/10), we can conclude that the origin of this bimodal distribution is established by the in...
2.5.2 Advected cotangent bundle (π, −P) When the dipoles are not fixed in space, but advected by a fluid, the interaction is captured by coupling of bracket (45) and fluid dynamics bracket (26) by semidirect product, {F, G}FMPπ (ρα, π u, s, P, π ) = {F, G}(...
The presented analysis showed that while thermodynamic concentration overpotential does not contribute significantly to cell polarisation at the operating i of RFBs, it becomes relevant at cell stress conditions or in possible fluid flow stagnation regions inside the porous electrode. This relatively simple...
Fomicheva, M., Vilchevskaya, E.N., Müller, W.H., Bessonov, N.: Funnel flow of a Navier–Stokes-fluid with potential applications to micropolar media. Facta Universitatis. Series Mechanical Engineering17, 255–267 (2019) Article Morozova, A.S., Vilchevskaya, E.N., Müller, W.H., ...