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Mathematics
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Mathematical Methods on Mechanical Engineering
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Mathematical Methods on Mechanical Engineering

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: closed (31 December 2023) | Viewed by 5918

Special Issue Editors

Prof. Dr. Mohsen Sharifpur

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Guest Editor
Department of Mechanical and Aeronautical Engineering, University of Pretoria, Pretoria 0002, South Africa
Interests: nanofluids; computational fluid dynamics; heat transfer; transport in porous media; multi phase flows; thermophysics; fluid convection; turbulent flow; heat & mass transfer; turbulence; fluid mechanics; heat exchangers; evaporation
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Josua P. Meyer

E-Mail Website
Guest Editor
Department of Mechanical and Mechatronic Engineering, Stellenbosch University, Matieland 7602, South Africa
Interests: thermodynamics; heat transfer; condensation; transition; heat exchangers
Special Issues, Collections and Topics in MDPI journals
Dr. S. Suseel Jai Krishnan

E-Mail Website
Guest Editor
Department of Mechanical and Aeronautical Engineering, University of Pretoria, Hatfield Campus, Pretoria 0028, South Africa
Interests: nanopowder synthesis; nanofluid synthesis; nanofuel synthesis; fluid characterization; natural convection studies; forced convection studies; green nanomaterials

Special Issue Information

Dear Colleagues,

In general, heat transport is a branch in engineering sciences related to energy efficiency measures, and mathematical formulae govern the problems pertaining to it. It is challenging to adapt analytical methods to the retrieval of confined solutions for the governing equations of heat transfer. The art of mathematical modelling involves transforming issues from a real-world application field into comprehensible mathematical formulations that are capable of analytical and simulation analysis which can offer understanding, solutions, and directions that aid the original applications. Although inexpensive, quick, and effective computers are used to solve such problems numerically, advanced engineering design continues to generate new mathematical approaches which need to be inducted into such systems. The appropriate numerical approach needs to be adopted when dealing with challenging heat transport issues. We deal with fluid flow, heat, and mass transfer in many facets of life. For instance, numerical algorithms are adopted in the electronics sector to solve heat transfer problems. Engineers are aided by effective thermal management strategies for semiconductor devices and integrated circuits, thus reducing component damage from thermal hotspots. There is a need for similar solutions to resolve issues in a wide variety of applications.

This Special Issue focuses on advanced and contemporary subjects in the disciplines of mathematical and computational studies pertaining to fluid dynamics with heat and mass transport, as this study is crucial for advanced applied research in science, engineering, and technology. We intend to gather academicians, researchers, and scientists who can share their original scientific research for publication in this Special Issue.

Prof. Dr. Mohsen Sharifpur
Prof. Dr. Josua P. Meyer
Dr. S. Suseel Jai Krishnan
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 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. Mathematics 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 flow and heat/mass transfer in porous media
  • magneto hydrodynamic fluid flow and heat transfer
  • fluid flow and heat transfer in heat exchangers
  • micro- and nanofluid flow though heat transfer systems
  • convective flow through different flow sections
  • the optimisation of design parameters for electronic cooling
  • fluid flow and heat/mass transfer in heat pipes
  • the design and optimisation of thermal systems and utilities
  • jet impingement studies on cooling different surface profiles
  • interfacial phenomena and heat transfer

Published Papers (5 papers)

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Research

22 pages, 3300 KiB  
Article
Taylor DQN: An Optimization Method for Aircraft Engine Cleaning Schedule
by Rui Wang, Xiangyu Guo, Zhiqi Yan and Dongqi Chen
Mathematics 2023, 11(19), 4046; https://doi.org/10.3390/math11194046 - 24 Sep 2023
Viewed by 816
Abstract
Reducing carbon emissions and improving revenue in the face of global warming and economic challenges is a growing concern for airlines. This paper addresses the inefficiencies and high costs associated with current aero-engine on-wing washing strategies. To tackle this issue, we propose a [...] Read more.
Reducing carbon emissions and improving revenue in the face of global warming and economic challenges is a growing concern for airlines. This paper addresses the inefficiencies and high costs associated with current aero-engine on-wing washing strategies. To tackle this issue, we propose a reinforcement learning framework consisting of a Similar Sequence Method and a Taylor DQN model. The Similar Sequence Method, comprising a sample library, DTW algorithm, and boundary adjustment, predicts washed aero-engine data for the Taylor DQN model. Leveraging the proposed Taylor neural networks, our model outputs Q-values to make informed washing decisions using data from the Similar Sequence Method. Through simulations, we demonstrate the effectiveness of our approach. Full article
(This article belongs to the Special Issue Mathematical Methods on Mechanical Engineering)
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17 pages, 4564 KiB  
Article
Simultaneous Features of CC Heat Flux on Dusty Ternary Nanofluid (Graphene + Tungsten Oxide + Zirconium Oxide) through a Magnetic Field with Slippery Condition
by Basma Souayeh
Mathematics 2023, 11(3), 554; https://doi.org/10.3390/math11030554 - 20 Jan 2023
Cited by 7 | Viewed by 1077
Abstract
The purpose of this work is to offer a unique theoretical ternary nanofluid (graphene/tungsten oxide/zirconium oxide) framework for better heat transfer. This model describes how to create better heat conduction than a hybrid nanofluid. Three different nanostructures with different chemical and physical bonds [...] Read more.
The purpose of this work is to offer a unique theoretical ternary nanofluid (graphene/tungsten oxide/zirconium oxide) framework for better heat transfer. This model describes how to create better heat conduction than a hybrid nanofluid. Three different nanostructures with different chemical and physical bonds are suspended in water to create the ternary nanofluid (graphene/tungsten oxide/zirconium oxide). Toxic substances are broken down, the air is purified, and other devices are cooled thanks to the synergy of these nanoparticles. The properties of ternary nanofluids are discussed in this article, including their thermal conductivity, specific heat capacitance, viscosity, and density. In addition, heat transport phenomena are explained by the Cattaneo–Christov (CC) heat flow theory. In the modeling of the physical phenomena under investigation, the impacts of thermal nonlinear radiation and velocity slip are considered. By using the right transformations, flow-generating PDEs are converted into nonlinear ordinary differential equations. The parameters’ impacts on the velocity and temperature fields are analyzed in detail. The modeled problem is graphically handled in MATLAB using a numerical technique (BVP4c). Graphical representations of the important factors affecting temperature and velocity fields are illustrated through graphs. The findings disclose that the performance of ternary nanofluid phase heat transfer is improved compared to dusty phase performance. Furthermore, the magnetic parameter and the velocity slip parameter both experience a slowing-down effect of their respective velocities. Full article
(This article belongs to the Special Issue Mathematical Methods on Mechanical Engineering)
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18 pages, 3779 KiB  
Article
Study of Steam-Induced Convection in a Rotating Vertical Flow Channel
by Mohammed Zwawi, Afrasyab Khan, Ali Bahadar and Mohammed Algarni
Mathematics 2023, 11(1), 79; https://doi.org/10.3390/math11010079 - 25 Dec 2022
Viewed by 938
Abstract
The phenomenon of steam–water direct contact condensation has significance in a wide range of industrial applications. Superheated steam was injected upward into a cylindrical water vessel. Visual observations were conducted on a turbulent steam jet to determine the dimensionless steam jet length compared [...] Read more.
The phenomenon of steam–water direct contact condensation has significance in a wide range of industrial applications. Superheated steam was injected upward into a cylindrical water vessel. Visual observations were conducted on a turbulent steam jet to determine the dimensionless steam jet length compared to the steam nozzle exit diameter and the steam maximum swelling ratio as a function of steam mass flux at the nozzle exit, with a gas steam flux ranging from 295–883 kg/m2s. The Reynolds number based on the steam jet’s maximum expansion ranged from 41,000 to 93,000. Farther above of the condensation region, the jet evolved as a single-phase heated plume, surrounded by ambient water. Mean axial central velocity profiles were determined against the steam mass flux ranging from 295–883 kg/m2s to observe the exponential drop in the mean axial velocity as the vertical distance increased. The radial velocity distribution within the spread of the jet was determined to be self-similar, and the radial distribution of the velocity profile followed the Gaussian function, after the proper scaling of the vertical distance and the axial mean velocity. Full article
(This article belongs to the Special Issue Mathematical Methods on Mechanical Engineering)
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16 pages, 2907 KiB  
Article
Kinematics of Mechanical Systems by Dynamic Geometry
by Gabriel Ciobanu and Dănuţ Rusu
Mathematics 2022, 10(23), 4457; https://doi.org/10.3390/math10234457 - 25 Nov 2022
Viewed by 1156
Abstract
The advancement of technology influenced the development of mechanical and mechatronic systems. This article presents the integration of new technologies into traditional mechanics. Specifically, it presents a flexible interactive software for dynamic plane geometry used for designing, simulating and analyzing the mechanical systems. [...] Read more.
The advancement of technology influenced the development of mechanical and mechatronic systems. This article presents the integration of new technologies into traditional mechanics. Specifically, it presents a flexible interactive software for dynamic plane geometry used for designing, simulating and analyzing the mechanical systems. The article presents this interactive software for dynamic geometry as a useful tool for the kinematic analysis of constrained linkages. The simulation and kinematic analysis of some mechanical systems are presented. Full article
(This article belongs to the Special Issue Mathematical Methods on Mechanical Engineering)
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11 pages, 2418 KiB  
Article
Mathematical Correlation Study of Nanofluid Flow Merging Points in Entrance Regions
by Mostafa Mahdavi, Mohsen Sharifpur, Magda Abd El-Rahman and Josua P. Meyer
Mathematics 2022, 10(21), 4148; https://doi.org/10.3390/math10214148 - 06 Nov 2022
Cited by 1 | Viewed by 987
Abstract
Here, hydrodynamic features of laminar forced nanofluid flow between two parallel plates are numerically investigated, and the results are mathematically discussed. The conventional understanding of developing flow in the entrance region of internal flows is based on the idea that boundary layers start [...] Read more.
Here, hydrodynamic features of laminar forced nanofluid flow between two parallel plates are numerically investigated, and the results are mathematically discussed. The conventional understanding of developing flow in the entrance region of internal flows is based on the idea that boundary layers start forming at the inlet and merge at some point just before the fully developed section. However, because of the consideration of mass and flow conservation, the entire conception is required to be detailed with appropriate criteria according to the numerical simulations. Hence, nanofluid flow between two parallel plates is solved by ANSYS Fluent 19.3 for laminar forced in an isothermal condition. Two major criteria are studied to find the location of the boundary layer merging points: vorticity and velocity gradient in a direction perpendicular to the flow. The former presents the influential area of wall shear stress, and the latter is the direct infusion of the boundary layer induced by the solid walls. Vorticity for an irrotational flow is obtained by calculating the curl of the velocity. It is found that the merging points for the hydrodynamic boundary layers are considered before the fully developed region. For the first time, in this study, the results of various Reynolds numbers are collected, and correlations are proposed to predict the length of the boundary layer merging location by using a regression analysis of the data. Full article
(This article belongs to the Special Issue Mathematical Methods on Mechanical Engineering)
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