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Symmetry
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Symmetrical Mathematical Computation in Fluid Dynamics, 2nd Edition
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Symmetrical Mathematical Computation in Fluid Dynamics, 2nd Edition

A special issue of Symmetry (ISSN 2073-8994).

Deadline for manuscript submissions: 31 January 2026 | Viewed by 1146

Special Issue Editors

Dr. Yifei Guan

E-Mail Website
Guest Editor
1. Department of Geophysical Sciences, University of Chicago, Chicago, IL 60637, USA
2. Department of Mechanical Engineering, Union College, Schenectady, NY 12308, USA
Interests: fluid mechanics; electro-hydrodynamics; combustion
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Jian Wu

E-Mail Website
Guest Editor
Heilongjiang Key Laboratory of Micro- and Nanoscale Fluid Flow and Heat Transfer, School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China
Interests: electrohydrodynamics; heat and mass transfer; fluid–structure interaction problems; computational fluid dynamics

Special Issue Information

Dear Colleagues,

Symmetry is a ubiquitous phenomenon in natural and engineered complex systems. This phenomenon emerges from the physical laws of nature and serves as an important mathematical tool for understanding the properties of physics-based dynamical systems, such as fluid mechanics.

Computational fluid dynamics has in recent years experienced extensive progress due to the rapid growth of computational power and the fast-changing development of mathematical algorithms. Leveraging high-fidelity models and fine resolution, symmetric evolutions can be observed in flow simulations. In return, symmetry-preserving and symmetry-constrained models provide extra guarantees in accurate and effective reduced-order modeling.

The present Special Issue emphasizes phenomena based on the combinatory concepts of symmetry and the mathematical computation of fluid dynamics. For example, the manifestation of symmetries and symmetry breaking on the route to the turbulence of convective flows has driven the study of flow stability and bifurcation. On the other hand, symmetry constraints added to reduced-order models enhance the predictive capabilities of large-scale coherent structures in complex flows.

We are soliciting contributions (research and review articles) covering a broad range of topics on symmetry and mathematical computations in fluid dynamics, including (but not limited to) the following:

  • The transition between regular and chaotic dynamics in fluid mechanics;
  • The manifestation of symmetry in chaotic or turbulent flows;
  • Local symmetry breaking;
  • The possible coexistence of different types of symmetry breaking;
  • Symmetries in multiphase flows;
  • Symmetries of coherent structures in turbulence;
  • Symmetry-constrained or symmetry-preserving computational models;
  • Symmetry constraints in reduced-order modeling;
  • Symmetry constraints in data-driven models of fluid systems.

Dr. Yifei Guan
Prof. Dr. Jian Wu
Guest Editors

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 250 words) can be sent to the Editorial Office for assessment.

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. Symmetry 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

  • symmetry
  • mathematical computation of fluid dynamics
  • symmetry constraints
  • symmetry breaking
  • transitional flow
  • reduced-order modeling
  • data-driven models

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Related Special Issue

Published Papers (2 papers)

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Research

20 pages, 1085 KB  
Article
Relevance of Inclined Magnetohydrodynamics and Nanoparticle Radius on Tangent-Hyperbolic Flow over a Stretching Sheet: A Symmetric Modeling Perspective with Higher-Order Slip
by Dipika Yadav, Pardeep Kumar, Md Aquib and Partap Singh Malik
Symmetry 2025, 17(11), 1928; https://doi.org/10.3390/sym17111928 - 11 Nov 2025
Viewed by 293
Abstract
This article investigates the impact of Arrhenius energy and the radius of a nanoparticle subject to an irregular heat source on tangent-hyperbolic nanofluid flow over a stretching sheet with nonlinear radiation. The convective boundary effect, higher-order slip, and micropolarity are all included for [...] Read more.
This article investigates the impact of Arrhenius energy and the radius of a nanoparticle subject to an irregular heat source on tangent-hyperbolic nanofluid flow over a stretching sheet with nonlinear radiation. The convective boundary effect, higher-order slip, and micropolarity are all included for a water-based Cu nanofluid. The present study investigates the significance of a nanoparticle’s radius under inclined MHD conditions. The thermally convective flow of the nanofluid is optimized for the heat-transfer rate using the response surface technique. The modeled governing equations are converted into a system of first-order ODEs using the proper similarity transformations, and the BVP5C algorithm—a finite-difference-based solver—is then used to solve these ODEs numerically. Microrotation, thermal boundary-layer thickness, and the skin-friction coefficient all decrease as the nanoparticle radius increases. The thermal layer thickens as the Biot number increases. As the higher-order slip parameter coefficient increases, the results indicate that the skin friction and local Nusselt number fall. Using tables, figures, contour plots, and surface plots, the effects of several influencing factors on the rates of heat and mass transfer, as well as on the skin-friction factor, are demonstrated. The study uses “Response Surface Methodology” (RSM) in conjunction with “Analysis of Variance” (ANOVA) to optimize the most important factors, which are probably the magnetic parameter and the nanoparticle radius that control the flow and heat-transfer properties. Additionally, with a Nusselt number R2 value of 99.96, indicating an excellent fit, the suggested model exhibits amazing precision. The reliability and efficiency of the estimated model are assessed using the residual versus fitted plot. Full article
(This article belongs to the Special Issue Symmetrical Mathematical Computation in Fluid Dynamics, 2nd Edition)
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19 pages, 4417 KB  
Article
Insights into Inclined MHD Hybrid Nanofluid Flow over a Stretching Cylinder with Nonlinear Radiation and Heat Flux: A Symmetric Numerical Simulation
by Sandeep, Md Aquib, Pardeep Kumar and Partap Singh Malik
Symmetry 2025, 17(11), 1809; https://doi.org/10.3390/sym17111809 - 27 Oct 2025
Viewed by 565
Abstract
The flow of a two-dimensional incompressible hybrid nanofluid over a stretching cylinder containing microorganisms with parallel effect of inclined magnetohydrodynamic was examined in the current study in relation to chemical reactions, heat source effect, nonlinear heat radiation, and multiple convective boundaries. The main [...] Read more.
The flow of a two-dimensional incompressible hybrid nanofluid over a stretching cylinder containing microorganisms with parallel effect of inclined magnetohydrodynamic was examined in the current study in relation to chemical reactions, heat source effect, nonlinear heat radiation, and multiple convective boundaries. The main objective of this research is the optimization of heat transfer with inclined MHD and variation in different physical parameters. The governing partial differential equations are transformed into a set of ordinary differential equations by applying the appropriate similarity transformations. The Runge–Kutta method is recognized for using shooting as a technique. Surface plots, graphs, and tables have been used to illustrate how various parameters affect the local Nusselt number, mass transfer, and heat transmission. It is demonstrated that when the chemical reaction parameter rises, the concentration and motile concentration profiles drop. The least responsive is the rate of heat transfer to changes in the inclined magnetic field and most associated with changes in the Biot number and radiation parameter shown in contour plot. The streamline graph illustrates the way fluid flow is affected simultaneously by the magnetic parameter M and an angled magnetic field. Local Nusselt number and local skin friction are improved by the curvature parameter and mixed convection parameter. The contours highlight the intricate interactions between restricted magnetic field, significant radiation, and substantial convective condition factors by displaying the best heat transfer. The three-dimensional surface, scattered graph, pie chart, and residual plotting demonstrate the statistical analysis of the heat transfer. The results support their use in sophisticated energy, healthcare, and industrial systems and enhance our theoretical knowledge of hybrid nanofluid dynamics. Full article
(This article belongs to the Special Issue Symmetrical Mathematical Computation in Fluid Dynamics, 2nd Edition)
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