Mathematical Modelling of Fluid Dynamics

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

Deadline for manuscript submissions: closed (31 March 2025) | Viewed by 1109

Special Issue Editor

Department of Chemical Engineering, Imperial College London, London SW7 2AZ, UK
Interests: computational fluid dynamics; numerical methods
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The mathematical modelling of fluid dynamics plays an important role in understanding fluid physics in various industrial applications such as aerospace engineering, chemical engineering, etc. However, the mathematical modelling of fluid dynamics with high accuracy and high fidelity remains challenging as fluid dynamics involves multi-scale and multi-physics problems.

This Special Issue welcomes the submission of research and review articles that address the development of novel mathematical modelling and its applications. Topics of interest for this Special Issue may include, but are not limited to, the following subjects: numerical methods in fluid dynamics, multiphase flow modelling, reacting flow modelling, compressible and incompressible flows, fluid–structure interactions, and machine learning. Any work relevant to these topics is welcome to be submitted.

Dr. Xi Deng
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

  • numerical methods
  • multiphase flows
  • combustion
  • high-speed compressible flows
  • incompressible flows
  • fluid–structure interactions
  • machine learning
  • aerospace engineering
  • chemical engineering

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

28 pages, 578 KiB  
Article
Homogenization of a Thermoelastic Bristly Structure Immersed in a Thermofluid
by Sergey Sazhenkov and Elena Sazhenkova
Axioms 2024, 13(11), 731; https://doi.org/10.3390/axioms13110731 - 22 Oct 2024
Viewed by 609
Abstract
The article considers the mathematical model describing the joint motion of a viscous compressible heat-conducting fluid and a thermoelastic plate with a fine two-level thermoelastic bristly microstructure attached to it. The bristly microstructure consists of a great amount of taller and shorter bristles, [...] Read more.
The article considers the mathematical model describing the joint motion of a viscous compressible heat-conducting fluid and a thermoelastic plate with a fine two-level thermoelastic bristly microstructure attached to it. The bristly microstructure consists of a great amount of taller and shorter bristles, which are periodically located on the surface of the plate, and the model under consideration incorporates a small parameter, which is the ratio of the characteristic lengths of the microstructure and the entire plate. Using classical methods in the theory of partial differential equations, we prove that the initial-boundary value problem for the considered model is well-posed. After this, we fulfill the homogenization procedure, i.e., we pass to the limit as the small parameter tends to zero, and, as a result, we derive the effective macroscopic model in which the dynamics of the interaction of the ‘liquid–bristly structure’ is described by equations of two homogeneous thermoviscoelastic layers with memory effects. The homogenization procedure is rigorously justified by means of the Allaire–Briane three-scale convergence method. The developed effective macroscopic model can potentially find application in further mathematical modeling in biotechnology and bionics taking account of heat transfer. Full article
(This article belongs to the Special Issue Mathematical Modelling of Fluid Dynamics)
Show Figures

Figure 1

Back to TopTop