Fluid Mechanics: Theory and Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C: Mathematical Analysis".

Deadline for manuscript submissions: 30 April 2026 | Viewed by 7

Special Issue Editor


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Guest Editor
Department of Mathematics, University of Hamburg, Hamburg, Germany
Interests: differential geometry; CFD; heat transfer; fluid mechanics; numerical simulation; numerical modeling and simulation

Special Issue Information

Dear Colleagues,

  1. Introduction
    Fluid mechanics underpins countless natural phenomena and engineering systems, from blood flow and weather patterns to aircraft design and energy conversion. Recent advances in theoretical modeling, computational power (CFD), and experimental techniques have revolutionized our ability to understand and predict complex fluid behavior. This progress is crucial for tackling global challenges in energy efficiency, sustainable transport, environmental protection, biomedical engineering, and advanced manufacturing. This Special Issue seeks to capture cutting-edge research that bridges fundamental theory with impactful applications, driving innovation across diverse sectors.
  2. Aim and Scope
    This Special Issue aims to showcase high-quality research advancing the theoretical foundations of fluid mechanics and demonstrating novel applications. We encourage contributions that leverage mathematical rigor, computational fluid dynamics (CFD), and experimental validation to solve complex flow problems. The scope is intentionally focused on the synergy between theory and application, ensuring a cohesive collection. We welcome work across traditional and emerging areas, including multiphase flows, turbulence modeling, reactive flows (e.g., combustion), flow in complex geometries (e.g., porous media, TPMS structures), non-Newtonian fluids, and fluid–structure interaction. This focus aligns well with the journal's scope in fundamental and applied fluid dynamics, transport phenomena, and computational methods within engineering and physical sciences.
  3. Suggested Themes and Article Types
    In this Special Issue, original research articles and comprehensive reviews are welcome. Research areas may include (but are not limited to) the following:
    • Advances in CFD algorithms and high-fidelity simulations (DNS, LES, RANS);
    • Mathematical modeling of complex fluid phenomena;
    • Turbulence theory, modeling, and control strategies;
    • Multiphase and multicomponent flow dynamics;
    • Combustion theory, modeling, and applications;
    • Fluid flow and transport in porous media, biological tissues, and engineered structures (including TPMSs);
    • Non-Newtonian fluid behavior and rheology;
    • Microfluidics and nanofluidics;
    • Fluid–structure interaction (FSI) problems;
    • Aerodynamics and hydrodynamics applications;
    • Environmental fluid mechanics;
    • Data-driven approaches and machine learning in fluid mechanics.

We look forward to receiving your innovative contributions and building a significant collection of articles that advance the field of fluid mechanics through theory and applications.

Dr. Marco Aurélio Dos Santos Bernardes
Guest Editor

Manuscript Submission Information

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Keywords

  • computational fluid dynamics (CFDs)
  • theoretical fluid mechanics
  • turbulence modeling
  • multiphase flow
  • reactive flows (combustion)
  • triply periodic minimal surfaces (TPMSs)
  • fluid–structure interaction (FSI)
  • mathematical modeling
  • high-fidelity simulations (DNS/LES/RANS)
  • transport phenomena

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Published Papers

This special issue is now open for submission.
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