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Hydrodynamics in Materials Science: Experimental and Modeling

A special issue of Materials (ISSN 1996-1944). This special issue belongs to the section "Mechanics of Materials".

Deadline for manuscript submissions: closed (20 August 2023) | Viewed by 2350

Special Issue Editor


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Guest Editor
Department of Management and Engineering, University of Padua, Padua, Italy
Interests: geomechanics; solid mechanics; coupled problems; hygro-thermo-mechanical modelling; non-linear modeling; fractional analysis

Special Issue Information

Dear Colleagues,

This Special Issue (SI) discusses the latest basic schemes and algorithms for the solution of fluid and mass transfer problems within  inorganic, organic materials, or biological tissues, with emphasis on the fluid-dynamic conditions under which they operate. Mathematical schemes, numerical implementations, and applications to real-world problems can be presented together with non-standard approaches, materials, and material processes.

Within the SI, the final properties of materials, as well as fluid-mechanical aspects pertaining to the technological processes used to grow them, can be additionally treated, together with fluid–structure interaction problems and applications in fields, such as marine, aeronautical, and aerospace engineering.

Structural aspects of crystal nucleation in undercooled liquids and growth front nucleation, explored using, e.g., a nonlinear hydrodynamic theory of crystallization, can be additionally discussed.

Other relevant subjects are devoted to simulating  the  hydrodynamics  of commercial-scale multiphase reactors via continuum models, or even complex hydrodynamic phenomena at the nano- and micro-scales via hybrid atomistic-continuum formulations, up to nonlinear electric transport phenomena within highly conductive metals, where a large separation of scales between momentum-relaxing and momentum-conserving scattering is realized (i.e., hydrodynamic materials).

Prof. Dr. Valentina Salomoni
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. Materials is an international peer-reviewed open access semimonthly 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 2600 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

  • Fluid dynamics
  • Mass transfer
  • Hydrodynamics
  • Non-linear Hydrodynamics
  • Porous Media
  • Fluid-Structure Interaction
  • Crystal Nucleation
  • Hybrid Formulations
  • Conductive Metals

Published Papers (1 paper)

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Research

26 pages, 3746 KiB  
Article
About Inverse Laplace Transform of a Dynamic Viscosity Function
by Kamil Urbanowicz, Anton Bergant, Rafał Grzejda and Michał Stosiak
Materials 2022, 15(12), 4364; https://doi.org/10.3390/ma15124364 - 20 Jun 2022
Cited by 4 | Viewed by 1906
Abstract
A dynamic viscosity function plays an important role in water hammer modeling. It is responsible for dispersion and decay of pressure and velocity histories. In this paper, a novel method for inverse Laplace transform of this complicated function being the square root of [...] Read more.
A dynamic viscosity function plays an important role in water hammer modeling. It is responsible for dispersion and decay of pressure and velocity histories. In this paper, a novel method for inverse Laplace transform of this complicated function being the square root of the ratio of Bessel functions of zero and second order is presented. The obtained time domain solutions are dependent on infinite exponential series and Calogero–Ahmed summation formulas. Both of these functions are based on zeros of Bessel functions. An analytical inverse will help in the near future to derive a complete analytical solution of this unsolved mathematical problem concerning the water hammer phenomenon. One can next present a simplified approximate form of this solution. It will allow us to correctly simulate water hammer events in large ranges of water hammer number, e.g., in oil–hydraulic systems. A complete analytical solution is essential to prevent pipeline failures while still designing the pipe network, as well as to monitor sensitive sections of hydraulic systems on a continuous basis (e.g., against possible overpressures, cavitation, and leaks that may occur). The presented solution has a high mathematical value because the inverse Laplace transforms of square roots from the ratios of other Bessel functions can be found in a similar way. Full article
(This article belongs to the Special Issue Hydrodynamics in Materials Science: Experimental and Modeling)
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