Numerical Simulation of Nanofluid Flow in Porous Media

A special issue of Computation (ISSN 2079-3197). This special issue belongs to the section "Computational Engineering".

Deadline for manuscript submissions: 31 December 2025 | Viewed by 221

Special Issue Editor


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Guest Editor
1. Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt
2. Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia
Interests: differential equations; dynamical systems; computational fluid dynamics (CFD)

Special Issue Information

Dear Colleagues,

The study of nanofluid flow in porous media has emerged as a critical area of research due to its significant implications for various engineering and industrial applications, including enhanced oil recovery, geothermal systems, filtration, and environmental remediation. Nanofluids, which are composed of nanoparticles suspended in base fluids, exhibit enhanced thermal and flow properties, making them highly suitable for applications involving porous structures. Numerical simulations have become an essential tool to understand the complex behavior of nanofluid flow in these media, as they can capture the Multiphysics and multiscale nature of the interactions between the nanoparticles, fluids, and porous matrixes. However, solving these complex flow and heat transfer problems requires the development and application of advanced numerical methods, computational techniques, and robust algorithms.

This Special Issue aims to explore the latest numerical solutions and methodologies in the modeling of nanofluid flow in porous media, highlighting their applications and the challenges associated with computational simulations.

Topics of interest include, but are not limited to, the following:

  • Analytical solutions for simulating nanofluid flow in porous media;
  • Analytical and approximate solutions for nanofluid flow in porous media;
  • Dynamical systems analyses of nanofluid flow;
  • Numerical methods for solving dynamical systems in nanofluid simulations;
  • Computational fluid dynamics applications in analytical and approximate solutions for nanofluid flow;
  • Heat transfer enhancement using nanofluids in porous media;
  • Multiphysics modeling of nanofluid flow and heat transfer;
  • Non-Newtonian behavior of nanofluids in porous structures;
  • Particle dispersion, deposition, and nanoparticle dynamics in porous media;
  • Influence of nanoparticle size and shape on flow dynamics;
  • Rheological and pressure drop modeling in nanofluid systems;
  • Finite element, finite volume, and lattice Boltzmann methods for nanofluid simulations;
  • Modeling nanoparticle aggregation and interactions with solid boundaries;
  • Multiscale simulations of nanofluid transport in heterogeneous media;
  • Numerical validation and experimental comparisons of nanofluid models;
  • Environmental applications of nanofluid flow in porous media.

Dr. Gamal Ismail
Guest Editor

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Keywords

  • nanofluids
  • porous media
  • numerical simulation
  • analytical solution
  • approximate solution
  • computational fluid dynamics
  • finite element method
  • finite volume method
  • lattice Boltzmann method
  • heat transfer
  • rheological modeling
  • particle dispersion
  • Multiphysics modeling
  • dynamical systems
  • numerical solutions
  • flow dynamics

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Published Papers (1 paper)

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Research

19 pages, 738 KiB  
Article
A Novel Methodology for Scrutinizing Periodic Solutions of Some Physical Highly Nonlinear Oscillators
by Gamal M. Ismail, Galal M. Moatimid, Stylianos V. Kontomaris and Livija Cveticanin
Computation 2025, 13(5), 105; https://doi.org/10.3390/computation13050105 - 28 Apr 2025
Viewed by 20
Abstract
The study offers a comprehensive investigation of periodic solutions in highly nonlinear oscillator systems, employing advanced analytical and numerical techniques. The motivation stems from the urgent need to understand complex dynamical behaviors in physics and engineering, where traditional linear approximations fall short. This [...] Read more.
The study offers a comprehensive investigation of periodic solutions in highly nonlinear oscillator systems, employing advanced analytical and numerical techniques. The motivation stems from the urgent need to understand complex dynamical behaviors in physics and engineering, where traditional linear approximations fall short. This work precisely applies He’s Frequency Formula (HFF) to provide theoretical insights into certain classes of strongly nonlinear oscillators, as illustrated through five broad examples drawn from various scientific and engineering disciplines. Additionally, the novelty of the present work lies in reducing the required time compared to the classical perturbation techniques that are widely employed in this field. The proposed non-perturbative approach (NPA) effectively converts nonlinear ordinary differential equations (ODEs) into linear ones, equivalent to simple harmonic motion. This method yields a new frequency approximation that aligns closely with the numerical results, often outperforming existing approximation techniques in terms of accuracy. To aid readers, the NPA is thoroughly explained, and its theoretical predictions are validated through numerical simulations using Mathematica Software (MS). An excellent agreement between the theoretical and numerical responses highlights the robustness of this method. Furthermore, the NPA enables a detailed stability analysis, an area where traditional methods frequently underperform. Due to its flexibility and effectiveness, the NPA presents a powerful and efficient tool for analyzing highly nonlinear oscillators across various fields of engineering and applied science. Full article
(This article belongs to the Special Issue Numerical Simulation of Nanofluid Flow in Porous Media)
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