Numerical Methods in Multiphase Flow with Heat and Mass Transfer

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E4: Mathematical Physics".

Deadline for manuscript submissions: 31 January 2026 | Viewed by 1072

Special Issue Editor


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Guest Editor
MIIT Key Laboratory of Thermal Control of Electronic Equipment, School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
Interests: multiphase flow and heat transfer; gas–liquid/liquid–liquid hydrodynamics; capillary convection; lattice Boltzmann method

Special Issue Information

Dear Colleagues,

With the rapid development in computer computing and storage capabilities in the past few decades, the application of numerical methods to scientific research and engineering projects has been one of the most important tools for solving complex physical systems. The numerical method is now one of the most scientific methods successfully applied to heat and mass transfer in single- and multi-phase flow systems.

This Special Issue focuses on the topics of multiphase flow heat and mass transfer through the development of the numerical methods or the application of existing computational fluid dynamics (CFD) tools to solve existing problems in academic or industrial applications. Research or review papers focused on the following topics are welcome, but not limited to: (a) the application of CFD tools (e.g., finite difference, finite volume, finite element, lattice Boltzmann method, gas kinetic scheme, and smoothed hydrodynamics particle method); (b) the new development of the CFD method; (c) mathematical modeling of multiphase fluid dynamics; (d) fluid–solid interactions; (e) gas–liquid/liquid–liquid flows; (f) miscible and immiscible multicomponent flows; and (g) thermo/thermosolutal capillary convection.

Dr. Lin Zheng
Guest Editor

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Keywords

  • computational fluid dynamics
  • microscopic/mesoscopic method
  • multiscale modeling
  • droplet dynamics
  • gas–liquid/liquid–liquid flows
  • fluid–solid interactions
  • miscible and immiscible multicomponent flows
  • thermo/thermosolutal capillary convection
  • boiling heat transfer
  • melting heat transfer

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Published Papers (1 paper)

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Research

18 pages, 7088 KiB  
Article
Analysis of Blood Stasis for Stent Thrombosis Using an Advection-Diffusion Lattice Boltzmann Scheme
by Ruben van der Waerden, James Spendlove, James Entwistle, Xu Xu, Andrew Narracott, Julian Gunn and Ian Halliday
Mathematics 2025, 13(3), 376; https://doi.org/10.3390/math13030376 - 24 Jan 2025
Viewed by 703
Abstract
An advection-diffusion solver was applied to assess how stent strut shape and position impact the development of a pro-thrombotic region within the stented human artery. Presented here is a suitably parameterised advection-diffusion equation with a source term that is spatially uniform within a [...] Read more.
An advection-diffusion solver was applied to assess how stent strut shape and position impact the development of a pro-thrombotic region within the stented human artery. Presented here is a suitably parameterised advection-diffusion equation with a source term that is spatially uniform within a certain sub-domain of interest to compute a “time concentration”. The latter will serve as a surrogate quantity for the “age” of fluid parcels, i.e., the time the fluid parcel has spent in the sub-domain. This is a particularly useful concept in the context of coronary artery haemodynamics, where “stasis of blood” (or residence time) is recognized as the most important factor in thrombotic initiation. The novel method presented in this work has a very straightforward and convenient single lattice Boltzmann simulation framework encapsulation. A residence time surrogate is computed, presented and correlated with a range of traditional haemodynamic metrics (wall shear stress, shear rate and re-circulation region shapes) and finally, the role of these data to quantify the risk of thrombus formation is assessed. Full article
(This article belongs to the Special Issue Numerical Methods in Multiphase Flow with Heat and Mass Transfer)
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