Advances of Mathematical Modeling in Fluid Mechanics

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: 30 September 2024 | Viewed by 2694

Special Issue Editor


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Guest Editor
Sección de Estudios de Posgrado e Investigación, ESIME Azcapotzalco, Instituto Politécnico Nacional, Av. de Las Granjas No. 682, Col. Santa Catarina, Mexico City 02250, Mexico
Interests: absorption refrigeration with solar energy and nanofluids; biofuels; automatization

Special Issue Information

Dear Colleagues,

The mathematical modeling of fluid mechanics has great relevance, mainly due to the multiple applications of statics and fluid flow in the process industry. Although advances in experimental techniques make it possible to predict fluid flow in some applications, experimental methods cannot reveal in detail all the physical mechanisms behind fluid flow. Therefore, it is necessary to develop modeling and simulation techniques to better understand the physics of fluid flow. Mathematical modeling and simulation are useful for obtaining detailed information that cannot be revealed from experiments, as well as for examining the effect of various physical parameters on fluid flow behavior. This Special Issue focuses on the recent advances of mathematical modeling in fluid mechanics, emphasizing its recent developments and its use in many industrial and academic applications. We welcome papers on new modeling techniques that address the key issues and difficulties inherent in simulating fluid mechanics. Manuscripts in the following research areas, but not limited to, are welcome:

  • Instrumentation and power fluids;
  • Fluid mechanics in transport, energy and industrial production.
  • Ocean currents, cooling system fluids and flue gas flow;
  • Biofluids; biofuels;
  • Multiphase flows;
  • Nanofluids;
  • Microflows and nanoflows;
  • Fluid flow in porous media;
  • Non-Newtonian fluids;
  • Multiphysics problems such as magnetohydrodynamics, MHD;
  • Hypersonic flows;
  • Aero and hydrodynamics;
  • Compressible flow;
  • Neural networks in fluid mechanics.

Prof. Dr. Alejandro Zacarías
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • fluid statics
  • power fluids
  • biofuels
  • nanofluids
  • microflow and nanoflow fluids
  • cooling system fluids
  • compressible flow
  • non-Newtonian fluids
  • flue gas flow
  • fluid flow in neural networks

Published Papers (2 papers)

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Research

24 pages, 11423 KiB  
Article
Application of the Euler–Lagrange Approach and Immersed Boundary Method to Investigate the Behavior of Rigid Particles in a Confined Flow
by Jonatas Emmanuel Borges, Sammy Cristopher Paredes Puelles, Marija Demicoli and Elie Luis Martínez Padilla
Axioms 2023, 12(12), 1121; https://doi.org/10.3390/axioms12121121 - 14 Dec 2023
Viewed by 990
Abstract
The presence of particles with a small but finite size, suspended in viscous fluids with low volumetric concentrations, is observed in many applications. The present study focuses on the tridimensional and incompressible lid-driven flow of Newtonian fluids through the application of the immersed [...] Read more.
The presence of particles with a small but finite size, suspended in viscous fluids with low volumetric concentrations, is observed in many applications. The present study focuses on the tridimensional and incompressible lid-driven flow of Newtonian fluids through the application of the immersed boundary method and the Euler–Lagrange approach. These methods are used to numerically predict three-dimensional particle motion by considering nearly neutrally buoyant conditions as well as all relevant elementary processes (drag and lift forces, particle rotation, particle–wall interactions, and coupling between phases). Considering the current stage of the numerical platform, two coupling approaches between phases are considered: one-way and two-way coupling. A single particle is inserted in the cavity after steady-state conditions are achieved. Its three-dimensional motion is obtained from numerical simulations and compared with research data, considering the same conditions, evidently showing that the particle trajectory follows the experimental data until the first collision with a solid surface. After this first contact, there is a deviation between the results, with the two-way coupling results better representing the experimental data than the one-way coupling results. The dimensionless forces’ peaks acting on the particles are associated with the relative velocity of the particle near the wall–particle collision position. In terms of magnitude, in general, the drag force has shown greater influence on the particle’s motion, followed by the rotation-induced and shear-induced lift forces. Finally, a special application is presented, in which 4225 particles are released into the domain and their dynamic is evaluated throughout dimensionless time, showing similar behavior for both couplings between phases, with variations in local concentrations observed in certain regions. The mean square displacement used to quantify the dispersion evolution of the particles showed that the particulate flow reaches an approximately homogeneous distribution from the moment of dimensionless time tU/S = 130. Full article
(This article belongs to the Special Issue Advances of Mathematical Modeling in Fluid Mechanics)
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16 pages, 5989 KiB  
Article
Simulation Analysis of a Novel Digital Pump with Direct Recycling of Hydraulic Energy
by Daling Yue, Xiukun Zuo, Zengguang Liu, Yinshui Liu, Liejiang Wei, Jisu Sun and Hongfei Gao
Axioms 2023, 12(7), 696; https://doi.org/10.3390/axioms12070696 - 17 Jul 2023
Viewed by 1015
Abstract
There is a permanent and strong need for energy recovery to improve the efficiency of the hydraulic system in the field of the construction machinery. In addition, the digital pump will become powerful and versatile by employing different configurations and intelligent control of [...] Read more.
There is a permanent and strong need for energy recovery to improve the efficiency of the hydraulic system in the field of the construction machinery. In addition, the digital pump will become powerful and versatile by employing different configurations and intelligent control of the flow distribution valves. Considering this case, we have proposed a novel digital pump in which every plunger is equipped with two flow distribution valves. By controlling these two valves, external hydraulic energy can be directly reused without other components. Based on the structure and working principle of the digital pump, the mathematical model is established and three working modes are detailed. To verify the feasibility and correctness of control methods, a performance simulation testing platform including a digital pump, load module, hydraulic energy to be recovered, and controller module was developed in AMESim R15 software. The pressure, flow rate, and torque simulations of the digital pump in three working modes were carried out. The simulation results have shown that the digital pump not only can be used as an ordinary pump but also has the function of recovery and immediate reutilization of another hydraulic energy. Meanwhile, the corresponding variable displacement control strategy is effective and the positive torque required to drive the digital pump can be reduced, which verified the energy-saving of this scheme. The ideas and contents in this paper can offer significant references for energy conservation technology of various engineering machineries and the intensive study of digital hydraulics. Full article
(This article belongs to the Special Issue Advances of Mathematical Modeling in Fluid Mechanics)
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