Numerical Methods and Applications in Fluid Mechanics

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: 30 June 2026 | Viewed by 437

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Guest Editor
School of Mechanical Engineering, Federal University of Uberlandia, Uberlândia 38400-902, MG, Brazil
Interests: numerical calculation and simulation; fluid mechanics

Special Issue Information

Dear Colleagues,

This Special Issue, “Numerical Methods and Applications in Fluid Mechanics”, invites original research articles and reviews that advance the computational modeling and simulation of fluid flows across a broad spectrum of scientific and engineering domains. We welcome contributions that explore innovative numerical techniques, including finite-volume, finite-element, spectral, and mesh-free methods, as well as hybrid and adaptive schemes tailored to complex fluid dynamics problems.

Submissions may address laminar and turbulent flows, multiphase and multicomponent systems, compressible and incompressible regimes, and fluid–structure interactions. We particularly encourage studies that demonstrate the application of numerical methods to real-world challenges in aerospace, automotive, energy, biomedical, environmental, and industrial processes.

Algorithmic developments, validation against experimental or benchmark data, and performance assessments on modern computing architectures are welcome. Contributions that integrate machine learning, uncertainty quantification, or optimization into fluid simulations are also highly encouraged.

This Issue aims to showcase the evolving landscape of computational fluid mechanics and foster cross-disciplinary dialogue between method developers and application specialists. All submissions will undergo rigorous peer review to ensure high scientific quality and relevance. We look forward to receiving your work and building a collection that reflects the state of the art in numerical fluid mechanics.

Dr. Francisco José de Souza
Guest Editor

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Keywords

  • computational fluid dynamics (CFD)
  • turbulence modeling
  • multiphase flow
  • numerical schemes
  • alternative numerical methods for fluid flow modelling
  • adaptive mesh refinement
  • high-performance computing
  • numerical stability and accuracy

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Published Papers (1 paper)

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Research

21 pages, 11826 KB  
Article
Numerical Simulation of Granular Phase Flow Behavior and Heat Transfer Characteristics in an Industrial-Scale Rotary Cooler
by Fangshuo Fan, Zuobing Chen, Chengguang Tong, Yanhui Lai, Yifan Sun and Ya Mao
Mathematics 2026, 14(10), 1742; https://doi.org/10.3390/math14101742 - 19 May 2026
Viewed by 161
Abstract
In a calcined clay rotary cooler, the flow behavior and heat transfer characteristics of the granular bed are key factors determining the cooling efficiency. In this study, an Euler–Euler multiphase model coupled with the kinetic theory of granular flow (KTGF) was used to [...] Read more.
In a calcined clay rotary cooler, the flow behavior and heat transfer characteristics of the granular bed are key factors determining the cooling efficiency. In this study, an Euler–Euler multiphase model coupled with the kinetic theory of granular flow (KTGF) was used to simulate the granular bed flow and heat transfer in a rotating drum of a rotary cooler. Unlike conventional large-particle beds, the 11 μm calcined clay particles interact more strongly with the gas phase, resulting in stratification and fluidization in the fine-particle bed. The effects of rotational speed, baffle configuration, and number of baffles on the flow and heat transfer behavior of the calcined clay granular bed were investigated. The results show that L-shaped baffles provide superior cooling, achieving a granular bed temperature and heat transfer coefficient (HTC) of 656.88 K and 151.15 W/(m2·K), respectively. At 2 rpm, the maximum temperature decrement and HTC increment are 5.73 K and 46.30 W/(m2·K), whereas excessive rotational speeds intensify bed fluidization. Additionally, increasing the number of L-shaped baffles has limited influence on expanding the fluidized region. With 12 L-shaped baffles, the temperature decrement peaks at 2.86 K and the HTC increment reaches a relatively high 33.27 W/(m2·K). This study provides a theoretical basis for the design and optimization of industrial-scale rotary cooling equipment for fine-particle beds. Full article
(This article belongs to the Special Issue Numerical Methods and Applications in Fluid Mechanics)
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