Fractal dimensions in fluid dynamics and their effects on the Rayleigh problem, the Burger's vortex and the Kelvin–Helmholtz instability

RA El-Nabulsi, W Anukool - Acta Mechanica, 2022 - Springer
In this article, we construct fluid equations in fractal dimensions based on the concept of the
product-like fractal measure introduced by Li and Ostoja-Starzewski in their formulation of …

Modeling of combustion and turbulent jet diffusion flames in fractal dimensions

RA El-Nabulsi, W Anukool - Continuum Mechanics and Thermodynamics, 2022 - Springer
Turbulent diffusion flames are considered an active field of research used in many
engineering applications of combustion theory. The basic properties of jet diffusion flames …

Ocean–atmosphere dynamics and Rossby waves in fractal anisotropic media

RA El-Nabulsi, W Anukool - Meteorology and Atmospheric Physics, 2022 - Springer
We study some basic problems arising in ocean–atmosphere dynamics including the ocean
surface waves and Rossby waves based on the concept of product-like fractal measure …

Nonlocal fractal neutrons transport equation and its implications in nuclear engineering

RA El-Nabulsi, W Anukool - Acta Mechanica, 2022 - Springer
In this study, the nonlocal fractal neutrons transport equation in fractal dimensions (α, β) is
constructed based on the concepts of fractal derivative and a spatially symmetric kernel …

Emergence of lump-like solitonic waves in Heimburg–Jackson biomembranes and nerves fractal model

RA El-Nabulsi - Journal of the Royal Society Interface, 2022 - royalsocietypublishing.org
The aim of this study is to extend the soliton propagation model in biomembranes and
nerves constructed by Heimburg and Jackson for the case of fractal dimensions. Our …

A mapping from Schrodinger equation to Navier–Stokes equations through the product-like fractal geometry, fractal time derivative operator and variable thermal …

RA El-Nabulsi, W Anukool - Acta Mechanica, 2021 - Springer
In this study, the concept of the product-like fractal measure introduced by Li and Ostoja-
Starzewski in their formulation of fractal continuum media is combined with the concept of …

Quantum dots and cuboid quantum wells in fractal dimensions with position-dependent masses

RA El-Nabulsi, W Anukool - Applied Physics A, 2021 - Springer
In this study, we have constructed a generalized Schrödinger equation in fractal dimensions
characterized by an effective potential which is generated by a position-dependent mass …

Grad-Shafranov equation in fractal dimensions

RA El-Nabulsi, W Anukool - Fusion Science and Technology, 2022 - Taylor & Francis
The main aim of this paper is to discuss the influence of fractal dimensions on the behavior
of the solutions of the Grad-Shafranov equation. Our study is based on the product-like …

Fractal MHD wind in the solar atmosphere

RA El-Nabulsi, W Anukool - Advances in Space Research, 2022 - Elsevier
In this study, we analyzed the fundamental concepts of solar physics based on the product-
like fractal measure concept introduced by Li and Ostoja-Starzewski in their attempt to …

Fractal neutrons diffusion equation: uniformization of heat and fuel burn-up in nuclear reactor

RA El-Nabulsi - Nuclear Engineering and Design, 2021 - Elsevier
In this study, the fractal neutrons diffusion equation is constructed based on the concept of
fractal anisotropy and product-like fractal measure introduced by Li and Ostoja-Starzewski …