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Author(s): Sai Swetha Venkata Kolluru and Rahul Pandit Following the report of numerical evidence of a finite-time singularity in the wall-bounded three-dimensional axisymmetric incompressible Euler equations, we investigate the effect of a magnetic field on this singularity. We find the HL-type singularity as well as a new “cusp”-type singularity where the nature of the singularity is sensitive to the initial strength of the magnetic field relative...

Author(s): Parham Poureslami, Ranit Mukherjee, and Sungyon Lee Particle-induced viscous fingering (PIVF) occurs when a non-colloidal suspension displaces air inside a Hele-Shaw cell, which leads to the formation of particle clusters, or “plumes” at the advancing interface. Despite extensive studies in the last decade, the coupling between plumes and interfacial deformations remains unexamined. In this paper, we address this coupling by deriving...

Author(s): Alain Pumir, Muhammad Zubair Sheikh, Kristian Gustavsson, Emmanuel Lévêque, Bernhard Mehlig, and Aurore Naso As they settle through turbulent clouds, elongated ice crystals, which form at low enough temperature, are affected by the turbulent motion of air. Such crystals, which are typically smaller than the Kolmogorov length scale of the flow, tend to align perpendicular to gravity, and to a lesser extent, parallel to vorticity. Turbulence...

Author(s): Bo-Jie Xie, Tian-Shu Zhou, and Jin-Han Xie We generalize the derivation of the velocity circulation area rule, initially proposed in the inertial range and stating that circulation statistics do not depend on specific loop shapes, to ranges with forcing and dissipation. With a newly proposed necessary condition, we show that the area rule cannot hold in the classic inertial range. Even so, in two-dimensional instability-driven turbulence...

Author(s): Ri Zhang, Lun Sun, Zhongwei Zhou, Yong Liu, and Domenico D. Meringolo This study investigates experimentally the three-dimensional settling process of centimeter-sized spherical particles in still water using Particle Imaging Velocimetry (PIV) and Convergent Binocular Vision (CBV). When particles are released side by side, the number of particles significantly influences the settling process. Two particles settle synchronously almost...

Author(s): Xiang I. A. Yang, Ruifeng Hu, Rahul Deshpande, Robert Kunz, and George Huang Two-equation RANS models often label (k) as turbulent kinetic energy, yet their (k) represents only the energy of Reynolds-stress-producing active motions in the logarithmic layer. This leaves the energy of inactive motions unresolved, despite its importance for normal stresses, curvature effects, wakes, and particle transport. We derive a transport framework...

Author(s): Eric Lauga and Beverley McKeon [Phys. Rev. Fluids 11, 060001] Published Fri Jun 05, 2026