Results 61 to 70 of about 3,094 (216)
The Canadian Journal of Chemical Engineering, EarlyView.Abstract Accurately simulating multiphase flows at low capillary numbers remains challenging due to spurious currents and interface discretization errors. We present a systematic comparison of four volume‐of‐fluid (VOF) solvers within the OpenFOAM framework for pressure‐driven Poiseuille–Bingham flow over grooved surfaces: interFoam with classical ...
Amir Joulaei +2 more
wiley +1 more source
Local equilibration of fermions and bosons
Results in Physics, 2019 Local kinetic equilibration is a prerequisite for hydrodynamics to be valid. Here it is described through a nonlinear diffusion equation for finite systems of fermions and bosons.
Georg Wolschin
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The Canadian Journal of Chemical Engineering, EarlyView.Abstract Hybrid models (HMs) combine fundamental model (FM) equations with empirical components. These models can lead to improved predictions because they reduce process/model mismatch and can account for phenomena that are not considered in the FM equations.
Mouna Y. Harb, Kimberley B. McAuley
wiley +1 more source
New Journal of Physics, 2015 The nonlinear Dirac equation for Bose–Einstein condensates (BECs) in honeycomb optical lattices gives rise to relativistic multi-component bright and dark soliton solutions.
L H Haddad, Lincoln D Carr
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Nonlinear Dirac equations and nonlinear gauge transformations
, 2003 15 ...
Doebner, H. -D., Zhdanov, R.
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Deep Underground Science and Engineering, EarlyView.This study establishes a multi‐factor coupling framework for predicting breakdown pressure in laminated shale by integrating experimental hydraulic fracturing tests, physics‐informed neural networks (PINNs), and Sobol sensitivity analysis. It reveals how differential stress, the bedding dip angle, and the injection rate interact to influence fracture ...
Tao Wang +6 more
wiley +1 more source
EXACT LOCALIZED SOLUTION OF THE NONLINEAR DIRAC EQUATION
, 2023 MAJOR ADVISOR: Dr. A. K. MISHRA ABSTRACT The nonlinear Dirac equation is a relativistic classical field theory that describes the behavior of a system of self-interacting spinor fields. According to this theory, the interactions among spinor fields are represented by additional Kerr-nonlinearity added to the Dirac equation, which justifies and models
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Modeling proppant transport and settling in a 3D propagating fracture
Deep Underground Science and Engineering, EarlyView.A versatile multiphysics tool is presented for simulating the complex processes involved in hydraulic fracturing treatments. The model couples fracture opening and propagation, variable‐density slurry flow, and proppant particle transport within the multiphysics object‐oriented simulation environment framework, based on two‐phase mixture equations and ...
Robert Egert +2 more
wiley +1 more source
Structure of Dirac matrices and invariants for nonlinear Dirac equations
Differential and Integral Equations, 2004 We present invariants for nonlinear Dirac equations in space-time ${\mathbb R}^{n+1}$, by which we prove that a special choice of the Cauchy data yields free solutions. Our argument works for Klein-Gordon-Dirac equations with Yukawa coupling as well. Related problems on the structure of Dirac matrices are studied.
Ozawa, Tohru, Yamauchi, Kazuyuki
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Confined Hot Carrier Cooling Via Excited‐State Energy Gap Engineering in Graphyne Carbon Allotropes
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.The excited‐state energy gap (EEG), regulated by the concentration of sp‐hybridized carbon, provides an effective handle for tuning electron–phonon coupling behavior. This design enables long‐lived confinement of hot carriers near the top of the EEG with controllable energy levels.
Fulong Dai +9 more
wiley +1 more source