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Article
Physical Sciences
Fluids and Plasmas Physics

Rizos N. Krikkis

Abstract: A numerical bifurcation analysis is presented for inductively coupled plasmas and wall stabilized arcs for argon and hydrogen. Because of the non–linear transport and radiative properties both problems admit multiple solutions, up to three for argon and up to four for hydrogen. The multiplicity structure primarily dependents on the non–linear and especially the non–monotonic relationship between thermal conductivity and temperature. As a result of the non-monotonicity a multipoint energy equilibrium between Joule heating (heat generation) and heat dissipation by conduction and radiation exists, giving rise to the multiplicity which is a characteristic feature of both radiating and non–radiating arcs. Despite the relatively simple one–dimensional model employed the agreement with the experimental data is good.

Article
Physical Sciences
Fluids and Plasmas Physics

Yingying Yang

,

Huaichun Zhou

Abstract: The early turbulence phenomenon has been observed in pipe flow of very dilute polymer solutions [1–4], and the full chord laminar flow can be achieved on various laminar suction wings at high Reynolds numbers (Re) up to approximately 2 000 000 [5–7]. Their transition conditions deviate significantly from the traditional criteria, critical Re about 2 000~2 300, which is quoted in most contemporary textbooks for pipe flow [8–13]. In this paper, a new force model with a virtual fluid layer, which is of a hemispherical shell shape and with a constant thickness inside a laminar pipe flow is established, on the basis of the membrane force model of a spherical shell under uniformly distributed load conditions in structural mechanics. In laminar flow state with a lower Re and a lower pressure gradient, the curvature radius of the virtual spherical liquid layer is inversely proportional to the pressure gradient. As Re increases, pressure gradient also increases, while the curvature radius decreases. When the curvature radius decreases to be equal to and starting less than the pipe radius, the stable liquid layer structure collapses, and the laminar flow becomes turbulent. This is a transition state with a critical tensile force flow defined as twice the product of the viscosity of the fluid and the maximum velocity in pipe, divided by the pipe radius. In laminar flow situation, the shear stress at the pipe wall can be interpreted as a horizontal component of the critical tensile force flow, and the direction is against the flow. Only when the flow achieving the transition condition, the shear stress at the wall become the critical tensile force flow itself, which had already been observed in early turbulence [1–4,14]. The second case, which can be explained by the concept of critical tensile force flow, is high Re laminar pipe flow [5–7], for example, the pipe with surface suction can be considered as a part of a virtual, larger pipe with a no slip wall at where the shear stress coincides with the critical tensile force flow, the shear stress at the real pipe is smaller, with a weakening factor related to the ratio of the average velocity in the real pipe to its maximum velocity.

Article
Physical Sciences
Fluids and Plasmas Physics

Rui-Ji Tang

,

Shu-Xia Zhao

,

Yu Tian

Abstract: In this article, the different types of self-coagulation discovered in the fluid simulations of inductively coupled plasma (abbreviated as ICP) at both the electronegative and electropositive cases are presented. Among these, the electronegative plasma sources include the Ar/O2, Ar/Cl2, and Ar/SF6 ones, and the electropositive plasma source is the inertial argon plasma itself. The fluid simulation versions are not the same. Concretely, the Comsol software is used to simulate the Ar/O2, Ar/Cl2, and Ar/SF6, and the pure argon ICPs, and the self-written code of fluid model is used to simulate the pure argon ICP as well, but in a different framework of fluid design. The types of self-coagulation refined from these fluid simulations are the physically ambi-polar self-coagulation of ions, the chemically ambi-polar self-coagulation of ions, the mono-polar self-coagulation of electrons, and the non-polar self-coagulation of argon metastable atoms. It is noted these self-coagulations are based on the mass and found in the Comsol fluid simulations, and moreover the self-coagulation of thermal energy of electrons is also given and found in the self-written fluid code simulation. The self-coagulations of mass and energy found in the laboratory plasmas have significant implications on ambi-polar diffusion, the wave-particle duality, application of Schrodinger equation, the positive and reverse species pair, the β and β+ decay, the spin orientations of neutrino and anti-neutrino, the symmetry and asymmetry, and the photon model. It is believed this interdisciplinary work of plasma physics with the quantum mechanics, the particle physics, the nuclear physics, and the optics are useful for us better understanding the mass and energy general dynamics. The self-coagulation definition constructed herein is reliable since it is validated in many circumstances, such as in the different discharging plasma species and in the thermal energy, whether the Comsol software or the self-written fluid model is used.

Article
Physical Sciences
Fluids and Plasmas Physics

Yingying Yang

,

Huaichun Zhou

Abstract: This is the second article on the mechanical mechanism of laminar turbulent transition in pipe Poiseuille flow, which is one of the most important topics in turbulence research [1,2], as a representative of a large category of wall-bounded flows [3]. Traditional fluid mechanics stability research focuses on the effects of different disturbances and pays less attention to the mechanical properties of flow structures [4]. In this paper, the tensile energy flux, which is renamed from the viscous energy flux vector [5], and its divergence are deduced and visualized in pipe Poiseuille flow. The tensile energy flux vector is both zero at wall and in the center, and at a critical position 0.707R, the divergence of tensile energy flux vector is zero. Once the tensile force flow reaches its critical value [4], the critical position 0.707R is just the local position where onset of turbulence occurs, consistent with some experimental results [6]. This predicted position has a zenith angle of 45° if membrane theory of spherical shell is applied on the fluid [4], and this angle may be analogous to the cracks angle in the uniaxial compressive strength experiment of rock specimen subjected to uniaxial compression [7]. This article also proves that the critical Reynolds number during laminar turbulent transition in a circular tube is not a constant, but the ratio of critical tensile energy flux to average kinetic energy flux inside the tube is inversely proportional to the Reynolds number, similar to the inverse relationship between laminar flow resistance coefficient and Reynolds number.

Article
Physical Sciences
Fluids and Plasmas Physics

Shin-ichi Inage

Abstract: We develop a unified dynamical framework for the three-dimensional incompressible Navier–Stokes equations in which global regularity and turbulent inertial-range structure emerge from a common underlying mechanism. Building on a recent result establishing global regularity via coherent-core reduction and phase non-persistence, we reformulate the nonlinear dynamics in terms of triadic interactions and their associated phase evolution. We show that nonlinear amplification is confined to a High–High interaction channel, which can be further localized to a coherent core characterized by low phase drift. The phase dynamics within this core exhibits a curvature-driven instability, implying that persistent phase coherence is dynamically impossible. As a consequence, nonlinear transfer is temporally localized, preventing cumulative growth and ensuring global regularity. Using this structure, we derive the inertial-range energy cascade directly from deterministic dynamics. The combination of time-localized interactions and scale-dependent triadic multiplicity yields a constant energy flux across scales without invoking statistical assumptions or closure models, leading to a first-principles derivation of the Kolmogorov −5/3 scaling law. Furthermore, we show that the Kolmogorov constant is not an empirical parameter but a dynamically determined quantity arising from phase-averaged triadic interactions. At the continuum level, the theory yields a structural formula together with a finite admissible interval. This remaining indeterminacy is resolved by extracting the coherent-phase quantities from a GOY shell model, used as a dynamically consistent reduced system that preserves local triadic interactions. The resulting value is thereby obtained without introducing phenomenological closure assumptions. These results establish that Navier–Stokes regularity, inertial-range cascade, and the determination of the Kolmogorov constant are not independent phenomena, but three manifestations of a single triadic phase dynamic. The mechanism that suppresses finite-time blow-up is identical to the mechanism that generates energy transfer across scales and fixes the Kolmogorov constant, providing a unified deterministic foundation for fluid dynamics.

Article
Physical Sciences
Fluids and Plasmas Physics

Shin-ichi Inage

Abstract: We propose a thermodynamically consistent framework for computational fluid dynamics based on a master equation formulation that precedes the continuum description. Instead of discretizing the Navier–Stokes equations, the fluid is modeled as a network of interacting elements whose dynamics are governed by antisymmetric conservative interactions and entropy-generating dissipative interactions. This construction embeds conservation laws and the second law of thermodynamics directly at the discrete level. A unified graph-based discretization is introduced, in which finite volume and meshless methods arise as special cases of a common interaction structure. Reversible fluxes are constructed to be entropy-neutral, while irreversible fluxes are derived from an entropy gradient flow, yielding a systematic decomposition of transport and dissipation. An implicit–explicit (IMEX) time integration scheme is then designed to preserve conservation and ensure entropy monotonicity. We establish convergence of the resulting scheme to entropy weak solutions of the Navier–Stokes equations through uniform a priori estimates and compactness arguments. Numerical experiments on compressible flow demonstrate that the proposed method maintains stability comparable to classical schemes while significantly reducing numerical dissipation, particularly in the resolution of contact discontinuities. These results suggest a shift in perspective: fluid dynamics can be understood not primarily as a system of partial differential equations, but as a thermodynamically constrained interaction system from which continuum equations emerge as effective limits. This viewpoint provides a unified foundation for the design of stable, accurate, and physically consistent numerical methods.

Article
Physical Sciences
Fluids and Plasmas Physics

Shin-ichi Inage

Abstract: We present a unified and thermodynamically consistent framework for the derivation and analysis of the two-dimensional incompressible Navier–Stokes equations based on a network-type master equation. The proposed formulation originates from a discrete, conservative interaction system endowed with a dissipative structure, and is designed to satisfy fundamental physical principles including conservation laws and, in its extended form, the second law of thermodynamics. Starting from this master equation, we construct a finite-volume discretization that preserves the antisymmetric structure of nonlinear interactions and ensures discrete energy stability. We then rigorously establish the convergence of the discrete system to a continuous limit, showing that the incompressible Navier–Stokes equations arise naturally as a singular limit of the underlying thermodynamic dynamics.Using compactness arguments of Aubin–Lions type, we prove the existence of global weak solutions in two dimensions. Furthermore, by exploiting the vorticity formulation and enstrophy estimates specific to two-dimensional flows, we demonstrate global regularity and uniqueness of solutions. These results are obtained within a single, coherent framework that connects microscopic interaction models, discrete numerical structures, and continuum fluid equations. Although the global well-posedness of the two-dimensional Navier–Stokes equations are classical, the present work provides a novel perspective by deriving these results from a physically grounded master equation, thereby offering a structurally consistent bridge between discrete thermodynamic systems and continuum fluid mechanics. This approach not only clarifies the origin of the Navier–Stokes equations but also establishes a robust foundation for future extensions to more complex systems, including compressible flows and higher-dimensional turbulence.

Article
Physical Sciences
Fluids and Plasmas Physics

Yang Xia

,

Siyuan Liu

Abstract: The evolution of pulsed discharge behavior inside a preformed air bubble in water from the first to subsequent pulses was experimentally investigated using a synchronized needle–bubble system. A positive nanosecond high-voltage pulsed power supply, together with a pulse valve and ICCD imaging, was employed to generate reproducible preformed bubbles and to record the corresponding discharge development with good temporal synchronization. The results show that, although the preformed bubbles exhibit good repeatability in size and morphology under identical conditions, the first-pulse discharge inside the bubble remains highly stochastic. The first discharge is predominantly corona-like and is not significantly affected by bubble size once the electrode is covered by the bubble. By varying the pulse width, the discharge inside the bubble was observed to evolve progressively from corona-like emission to streamer discharge, accompanied by increasing instability of the bubble interface. At sufficiently large pulse width and pulse number, bubble wrinkling and even rupture were induced. The effect of solution conductivity was also examined. Increasing conductivity significantly enhanced discharge intensity, enlarged the luminous region, and promoted streamer propagation along the inner bubble surface. At sufficiently high conductivity, the first pulse already produced strong discharge and rapid bubble rupture. In addition, the current amplitude and the energy dissipated per pulse increased with conductivity and pulse number. These results demonstrate that the discharge evolution inside a preformed bubble is jointly governed by pulse history, pulse width, and solution conductivity, and that residual effects from previous pulses play an important role in the transition from the first pulse to subsequent discharges.

Article
Physical Sciences
Fluids and Plasmas Physics

Shin-Ichi Inage

Abstract: The present study offers a potential resolution to the 3D Navier–Stokes regularity problem, demonstrating that the global existence of strong solutions is sustained by the autonomous decorrelation of triadic phases. The proof is based on a structural reformulation of the nonlinear term, in which the Fourier-space triadic interactions are decomposed into perturbative channels and a single potentially dangerous High–High coherent core. All non-core interactions are shown to be perturbative and absorbable into viscous dissipation by means of paraproduct analysis and scale-localized estimates. The remaining High–High core is further reduced to a coherent set characterized by low phase drift and non-negligible amplitude. The continuation problem is thereby reduced to a single dynamical obstruction: the possibility of persistent phase coherence within this coherent core. The present analysis suggests that such persistence cannot occur. The key mechanism is a curvature-driven instability in the phase dynamics, expressed through a coercive lower bound on the curvature kernel associated with triadic interactions. This yields a quantitative phase non-persistence result, showing that the low-drift coherent set has vanishing measure at high frequencies. Consequently, the nonlinear energy transfer is compressed in time and cannot accumulate sufficiently to overcome dissipation. This leads to a shellwise absorption estimate for the High–High interactions, which closes the energy inequality in Sobolev spaces and precludes finite-time blow-up. The argument is non-circular and requires no external closure assumptions. Conceptually, the proof demonstrates that the Navier–Stokes regularity problem reduces to a single geometric–dynamical mechanism, and that this mechanism is intrinsically incompatible with sustained nonlinear amplification. The result also provides a rigorous link between deterministic PDE analysis, and the transient coherence observed in turbulent energy cascades.

Article
Physical Sciences
Fluids and Plasmas Physics

Shin-ichi Inage

Abstract: We develop a structural framework for the regularity problem of the three-dimensional incompressible Navier–Stokes equations based on the Fourier-space geometry of triadic interactions. The central idea is that the nonlinear energy transfer can be decomposed into dyadic shell contributions and further classified into Low–Low, Low–High, and High–High channels. Within this decomposition, the potentially dangerous same-scale amplification mechanism is localized to the High–High channel, while the Low–Low and Low–High contributions are shown to be controllable through weighted paraproduct estimates. To quantify the High–High mechanism, we introduce a triadic-family decomposition together with shell-level observables including High–High family transfer, family coherence, coherent time sets, residence times, and shell defect quantities. Using these observables, we formulate a shellwise High–High absorption condition stating that the High–High transfer is dominated by the corresponding viscous scale up to a Sobolev-summable remainder. Under this condition, we prove a conditional regularity theorem: for strong solutions in Hs (3) with s > 5/2, the Sobolev norm remains bounded on any finite time interval, and hence finite-time blow-up does not occur. We then investigate why such an absorption condition is structurally natural. On the Fourier side, we analyze triadic geometry, helical sign structure, and phase dynamics, and show that persistent High–High amplification requires strong coherence and sufficiently long residence in coherent time sets. This provides an integral mechanism suppressing cumulative High–High transfer. On the PDE side, we introduce a relaxation formulation of the Navier–Stokes equations with an independent stress variable and establish a triple-dissipation structure consisting of viscous dissipation, defect-stress relaxation, and stress diffusion. A relative-entropy argument is then used to show that this enhanced dissipative structure is stably transferred to the Navier–Stokes limit. The result is not an unconditional resolution of the global regularity problem. Rather, it provides a precise reduction: the continuation problem for strong solutions is reduced to a shellwise High–High absorption condition with explicit geometric, temporal, and dissipative interpretations. In this sense, the regularity problem is reformulated in terms of the internal structure of the energy cascade, rather than solely by global norm criteria.

Article
Physical Sciences
Fluids and Plasmas Physics

Shin-Ichi Inage

Abstract: This paper studies a relaxation extension of the incompressible Navier–Stokes equations in which the viscous stress tensor is treated as an independent dynamical variable with relaxation and diffusion. The resulting system forms a thermodynamically consistent extension of the Navier–Stokes equations and possesses a triple dissipation structure consisting of viscous dissipation, stress diffusion, and stress relaxation. We first establish a basic energy inequality for the extended system, showing that the relaxation structure introduces an additional dissipation mechanism that is absent in the classical Navier–Stokes equations. Next, higher-order a priori estimates are derived in Sobolev spaces with , using commutator estimates for the nonlinear convection term. Combining these estimates with a local well-posedness result obtained via a Friedrichs approximation scheme, we prove the existence and uniqueness of global strong solutions for sufficiently small initial data. Finally, we discuss the formal relaxation limit in which the stress tensor converges to the Newtonian constitutive law, recovering the incompressible Navier–Stokes equations. The results show that the relaxation formulation provides a mathematically well-posed extension of the Navier–Stokes dynamics and offers a framework for studying the stabilizing role of stress relaxation mechanisms.

Article
Physical Sciences
Fluids and Plasmas Physics

Shin-ichi Inage

Abstract: The Navier–Stokes equations provide the fundamental continuum description of viscous fluid motion, yet their derivation from discrete interacting systems remains an important theoretical challenge. In this study we propose a network-based master equation framework for fluid dynamics and demonstrate how Navier–Stokes–type equations emerge from interacting systems through a relaxation mechanism. The system is formulated as a set of nodes exchanging mass, momentum, and energy along network edges. The evolution of node states is governed by a master equation that incorporates both conservative fluxes and entropy-producing dissipative interactions. Under appropriate structural assumptions, the resulting discrete dynamics preserve global conservation laws while satisfying a discrete form of the second law of thermodynamics. By analyzing the continuum limit of the network system, we show that the master equation converges to a conservation-law-type partial differential equation. A relaxation extension is then introduced to represent nonequilibrium stresses through auxiliary variables. The resulting relaxation system possesses an extended entropy structure that yields uniform a priori estimates. Using compactness arguments based on the Aubin–Lions theorem, we establish the strong convergence of velocity fields and prove that a subsequence of solutions converges to a Leray–Hopf weak solution of the incompressible Navier–Stokes equations. In particular, the forcing generated by residual stresses vanishes in the limit due to the dissipative structure of the extended system. The present framework provides a unified perspective linking discrete network dynamics, relaxation systems, and continuum fluid mechanics. It suggests a new pathway for understanding how classical hydrodynamic equations may arise from interacting systems beyond the traditional kinetic-theory setting.

Review
Physical Sciences
Fluids and Plasmas Physics

Hwanho Kim

,

Min Uk Lee

,

Hae June Lee

Abstract: As low-temperature plasmas (LTPs) have gained significant attention in materials processing for the microelectronics industry, challenges in spatiotemporal analysis of plasma parameters in an RF capacitively coupled plasma (CCP) system necessitate multidimensional numerical simulations. This study investigated the conditions under which a kinetic simulation or a fluid model is effective for low-pressure CCPs, focusing on the critical role of energy-dependent electron kinetics in LTPs by comparing symmetric and asymmetric electrode structures. We provide a comprehensive investigation of particle energy distributions, elucidating the kinetic effects of non-Maxwellian distributions. The validity of standard fluid approximations, such as the drift-diffusion approximation and isotropic pressure assumptions, is assessed by comparing results from a two-dimensional fluid model with those from a particle-in-cell simulation. The dominance of the ion pressure tensor over isotropic approximations in the sheath has been observed, especially in an asymmetric electrode structure, which is more representative of realistic process chambers.

Article
Physical Sciences
Fluids and Plasmas Physics

Joel Almeida

Abstract: The Dead Universe Theory (DUT) proposes a non-singular cosmology where the observable universe emerges from a coherent, non-dynamical fundamental state Ψ₀, characterized by the absence of a time arrow and effective null entropy. The transition to a classical regime is mediated by an internal symmetry breaking, generating a structural substrate Ξ_μν from which geometry, baryonic matter (as topological defects), and electromagnetic radiation emerge hierarchically. DUT reproduces key cosmological data (CMB, BAO, SNe Ia) without fundamental dark energy and introduces a clear falsification criterion based on the structure growth index. The model is formalized via a variational action for Ξ_μν and its couplings, with numerically calibrated parameters. The DUT Creation Module establishes only the minimal temporal scale derivable from the potential, avoiding underdetermined micro-chronologies and shielding the theory from falsification by instruments optimized for a ~13.8 Gyr universe.

Article
Physical Sciences
Fluids and Plasmas Physics

Yu-Ning Huang

Abstract: Motivated and inspired by Truesdell's seminal article [``Two measures of vorticity," Journal of Rational Mechanics and Analysis {\bf 2}, 173--217 (1953)], recently the present author has introduced the turbulence kinematical vorticity number $\widetilde{\cal V}_{K}$ to measure the mean rotationality of turbulence [``On the classical Bradshaw--Richardson number: Its generalized form, properties, and application in turbulence," Physics of Fluids {\bf 30}, 125110 (2018)]. In this work, first, within the general framework of the Cauchy equation of motion, we derive the general equation of motion for the turbulence kinematical vorticity number $\widetilde{\cal V}_{K}$ in turbulent flows of incompressible non-Newtonian fluids, which depicts the underlying dynamical character of $\widetilde{\cal V}_{K}$ and in laminar flows reduces to the general equation of motion for the kinematical vorticity number---the Truesdell number ${\cal V}_{K}$. Second, we obtain an inequality which places the relevant dynamical restriction upon the mean Cauchy stress tensor, the Reynolds stress tensor, and the mean body force density vector in the ensemble-averaged Cauchy equation of motion for turbulence modelling. Moreover, we derive the general Reynolds stress transport equation for turbulence modelling of incompressible non-Newtonian fluids based on Cauchy's laws of motion, which includes as a special case the classical Reynolds stress transport equation for an incompressible Newtonian fluid derived from the Navier--Stokes equation.

Article
Physical Sciences
Fluids and Plasmas Physics

Shin-Ichi Inage

Abstract: We propose a two-level theory that connects a Lin-equation-based dynamical coarse-graining of the turbulence cascade with an information-theoretic selection principle in logarithmic wavenumber space, thereby placing the dissipation-range spectral shape on a verifiable logical chain rather than an ad hoc fit. In the first (dynamical) stage, an autonomous conservative Fokker–Planck description is formulated for the normalized density and probability current; assuming sufficient boundary decay and a strictly positive effective diffusion, we prove that the sign-reversed KL divergence is a Lyapunov functional, yielding a rigorous H-theorem and fixing the arrow of time in scale space. In the second (selection) stage, the dissipation range is posed as a stationary boundary-value problem for an open system by introducing a killing term for an unnormalized scale density. WKB (Liouville–Green) analysis constrains the admissible tail class to a stretched-exponential form and links the tail exponent to the high-wavenumber scaling of the effective diffusion. To eliminate arbitrariness, the exponential prefactor is fixed by dissipation-rate consistency, and the remaining degree of freedom is identified via one-dimensional KL minimization (Hyper-MaxEnt) against a globally constructed reference distribution. The resulting exponent range is validated against high-resolution DNS spectra reported in the literature.

Article
Physical Sciences
Fluids and Plasmas Physics

Oleg Penyazkov

,

Pavel Grinchuk

Abstract: Boiling crises are a complex stochastic process that is influenced by the physical phenomena of heat transfer and evaporation, as well as the shape and roughness of the boiling surface. When calculating the critical heat fluxes corresponding to the point of the first boiling crisis, it is important to know the numerical density of the formed bubbles per unit surface and volume. Most models consider only non-interacting bubbles. This greatly reduces their predictive accuracy. An analysis of the video footage of bubble boiling near the point of the first boiling crisis allows us to conclude that this is a typical picture for a continuum off-lattice problem of percolation theory. The main idea of the work is to consider the point of the first boiling crisis as the percolation threshold for a three-dimensional problem. This threshold describes the transition from finite size inclusions (single bubbles and small groups of weakly interacting bubbles) to a percolation structure in which there is a macroscopic irregular bubble, the size of which is comparable to the size of the entire system. This hypothesis allows us to make estimates for the concentration of bubbles at the boiling point and to obtain estimates for critical heat fluxes at this point. The fundamental difference between the proposed approach and previous attempts to apply percolation theory to the description of boiling crisis is the consideration of a three-dimensional problem in liquid volume, rather than a two-dimensional problem onto a hot boiling surface. It is shown for the first time that the proportionality constant in Kutateladze-Zuber equation coincides with the percolation threshold for a three-dimensional continuum percolation problem on overlapping ellipsoids.

Article
Physical Sciences
Fluids and Plasmas Physics

José Carlos Domínguez-Lozoya

,

Sebastian Gutiérrez

,

David Roberto Domínguez-Lozoya

,

Aldo Figueroa

,

Sergio Cuevas

Abstract: Recently, Figueroa et al. demonstrated that steady streaming can be generated by the oscillatory motion of a floating magnet driven by electromagnetic forcing in a shallow electrolytic layer. They also found that the rotation direction of the resulting steady vortices is opposite to that of classical streaming flows. In this work, we present a theoretical and experimental investigation of the fluid–structure interaction between a freely moving wall and an oscillatory flow. Our objective is to elucidate the coupling mechanism between the fluid and the oscillating body that gives rise to reverse streaming and to apply this analysis to the case of a freely moving wavy wall. The flow is analyzed theoretically and an analytical solution is obtained using a perturbation method. Experimental results based on Particle Image Velocimetry are also presented, where an oscillatory flow generated by an electromagnetic force in an electrolyte layer drives a wavy wall floating on the surface. The results confirm the occurrence of reverse streaming and demonstrate that the flow dynamics depend on the density ratio between the freely moving solid and the fluid. The analytical solution qualitatively captures the behavior observed in the experiments.

Article
Physical Sciences
Fluids and Plasmas Physics

Ahmed M. Hala

Abstract: A full-factorial 34 (81-run) design-of-experiment using a high-fidelity SOLPS-ITER surrogate model demonstrates that deliberate injection of 1–5 μm lithium or beryllium dust from the mid-plane scrape-off layer reduces ITER divertor peak heat flux by 78–94%, raises divertor radiation fraction above 85%, and suppresses ELM energy release by > 90% while maintaining core contamination well below 10−5 — performance unattainable by any gaseous seeding scenario. Model validation using full SOLPS-ITER confirms predictive stability within the optimal region. Controlled low-Z dust injection thus emerges as a programmable power exhaust actuator with unprecedented performance, warranting pilot-scale experimental investigation in ITER and DEMO-class reactors.

Article
Physical Sciences
Fluids and Plasmas Physics

Konstantin Budrin

Abstract: Building upon the recently proposed Topological Model of Spatial Connectivity, we develop a covariant formulation of Maxwell’s equations in an anisotropic geometric background defined by the local connectivity tensor Gij(x,t). Within this framework, the antisymmetric part of Gij represents a fundamental twist of spatial connectivity, while the symmetric part encodes local curvature. Variations of Gij rescale the effective Planck length Lp = l* sqrt(Gij(x,t) n^i n^j) and consequently modify the local propagation constant ceff ∝ Lp-2/3. We derive explicit 3+1 equations for the electromagnetic field in such anisotropic geometry, showing that local Lorentz invariance is preserved while direction-dependent permittivity and permeability naturally arise. Localized deformations of Gij—interpreted as topological connectivity defects—generate nonlinear drifts of the form δv ∼ ∇ceff / ceff, which advect and suppress small-scale plasma fluctuations. This provides a purely geometric route to plasma stabilization without external confinement or power input. This version of the manuscript is currently under review at Physics of Plasmas (AIP). Minor differences may appear in the final published version.

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