Fractal dimensions in fluid dynamics and their effects on the Rayleigh problem, the Burger's vortex and the Kelvin-Helmholtz instability
From MaRDI portal
Publication:2115413
DOI10.1007/s00707-021-03128-9zbMath1504.76011OpenAlexW4205104783MaRDI QIDQ2115413
Waranont Anukool, Ahmad Rami El-Nabulsi
Publication date: 15 March 2022
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-021-03128-9
Incompressible viscous fluids (76D99) Interfacial stability and instability in hydrodynamic stability (76E17) Turbulence (76F99) Fractals (28A80) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)
Related Items
A FRACTAL MODIFICATION OF THE UNSTEADY KORTEWEG–DE VRIES MODEL AND ITS GENERALIZED FRACTAL VARIATIONAL PRINCIPLE AND DIVERSE EXACT SOLUTIONS, Fractal dimension modeling of seismology and earthquakes dynamics, An efficient approach to converting the damping fractal models to the traditional system, An innovative technique to solve a fractal damping Duffing-jerk oscillator, Improvement of nonlocal Pennes heat transfer equation in fractal dimensions in the analysis of tumor growth, Nonlocal fractal neutrons transport equation and its implications in nuclear engineering
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional variational symmetries of Lagrangians, the fractional Galilean transformation and the modified Schrödinger equation
- Flow of fractal fluid in pipes: non-integer dimensional space approach
- Fractional complexified field theory from Saxena-Kumbhat fractional integral, fractional derivative of order (\(\alpha, \beta\)) and dynamical fractional integral exponent
- The fractal dimension of river length based on the observed data
- Quantum field theory, gravity and cosmology in a fractal universe
- Stochastic Lagrangian particle approach to fractal Navier-Stokes equations
- The fractional white dwarf hydrodynamical nonlinear differential equation and emergence of quark stars
- Fractional action-like variational problems in holonomic, non-holonomic and semi-holonomic constrained and dissipative dynamical systems
- Comparison of turbulence models in simulating swirling pipe flows
- On the MHD flow of fractional generalized Burgers' fluid with modified Darcy's law
- The fractional Boltzmann transport equation
- An iterative method for solving nonlinear functional equations
- Fractal materials, beams, and fracture mechanics
- Navier-Stokes equations. An introduction with applications
- Estimates for the fractal dimension and the number of determining modes for invariant sets of dynamical systems
- Invariant helical subspaces for the Navier-Stokes equations
- Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
- Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
- Exact solutions of starting flows for a fractional Burgers' fluid between coaxial cylinders
- Attractors of Navier-Stokes systems and of parabolic equations, and estimates for their dimensions
- On the fractal dimension of invariant sets: Applications to Navier-Stokes equations.
- Non-Euclidean distance fundamental solution of Hausdorff derivative partial differential equations
- Micropolar continuum mechanics of fractal media
- Analytical study of time-fractional Navier-Stokes equation by using transform methods
- An introduction to fractals and their applications in electrical engineering
- Waves in fractal media
- A fractional model of continuum mechanics
- Some helical flows of a Burgers fluid with fractional derivative
- Fractal analysis of a circulating flow field with two different velocity laws
- Path integral formulation of fractionally perturbed Lagrangian oscillators on fractal
- Regularization of the fractional Rayleigh-Stokes equation using a fractional Landweber method
- Criticality and the fractal structure of \(-5/3\) turbulent cascades
- Analysis of Rayleigh Taylor instability in nanofluids with rotation
- Fractional viscoelasticity in fractal and non-fractal media: theory, experimental validation, and uncertainty analysis
- On nonlocal fractal laminar steady and unsteady flows
- Extremum and variational principles for elastic and inelastic media with fractal geometries
- Electromagnetic fields in fractal continua
- Fractional magneto-hydrodynamics: algorithms and applications
- Steady laminar flow of fractal fluids
- Fractional Navier-Stokes equation from fractional velocity arguments and its implications in fluid flows and microfilaments
- Towards thermomechanics of fractal media
- Continuous medium model for fractal media
- Fractional hydrodynamic equations for fractal media
- Time-space fabric underlying anomalous diffusion
- Free variable mass nonlocal systems, jerks, and snaps, and their implications in rotating fluids in rockets
- Incompressible Flow
- Oscillatory Kelvin–Helmholtz instability. Part 1. A viscous theory
- Oscillatory Kelvin–Helmholtz instability. Part 2. An experiment in fluids with a large viscosity contrast
- Freely decaying, homogeneous turbulence generated by multi-scale grids
- From fractal media to continuum mechanics
- Oscillating Flat FRW Dark Energy Dominated Cosmology from Periodic Functional Approach
- CALCULUS ON FRACTAL CURVES IN Rn
- CALCULUS ON FRACTAL SUBSETS OF REAL LINE — II: CONJUGACY WITH ORDINARY CALCULUS
- A Brief Introduction to Vortex Dynamics and Turbulence
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
- Fractal solids, product measures and fractional wave equations
- Vortex length, vortex energy and fractal dimension of superfluid turbulence at very low temperature
- CALCULUS ON FRACTAL SUBSETS OF REAL LINE — I: FORMULATION
- The fractal dimension of the singular set for solutions of the Navier–Stokes system
- Determining modes and fractal dimension of turbulent flows
- On the geometry of homogeneous turbulence, with stress on the fractal dimension of the iso-surfaces of scalars
- Fractal modelling of turbulent combustion
- Fluid dynamic instabilities: theory and application to pattern forming in complex media
- New Metrics from a Fractional Gravitational Field
- Fractal Solids, Product Measures and Continuum Mechanics
- Anisotropic enhancement of turbulence in large-scale, low-intensity turbulent premixed propane–air flames
- Fractal-generated turbulence
- MODIFICATIONS AT LARGE DISTANCES FROM FRACTIONAL AND FRACTAL ARGUMENTS
- Fractal modelling of turbulent mixing
- Turbulent premixed flames on fractal-grid-generated turbulence
- Thermo-poromechanics of fractal media
- Fractal generation in a two-dimensional active-nematic fluid
- On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics
- The fractal dimension of pullback attractors for the 2D Navier–Stokes equations with delay
- Thermal convection over fractal surfaces
- Extreme dissipation and intermittency in turbulence at very high Reynolds numbers
- Fractal planetary rings: Energy inequalities and random field model
- Local Dirichlet forms, Hodge theory, and the Navier-Stokes equations on topologically one-dimensional fractals
- Fractional actionlike variational problems
- Burgers equation with a fractional derivative; hereditary effects on nonlinear acoustic waves