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Mathematical Modeling and Numerical Research of Heat Transfer in Heterogeneous...
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Mathematical Modeling and Numerical Research of Heat Transfer in Heterogeneous Flows

A special issue of Processes (ISSN 2227-9717). This special issue belongs to the section "Process Control and Monitoring".

Deadline for manuscript submissions: closed (28 February 2022) | Viewed by 10053

Special Issue Editors

Dr. Ruslan Vladimirovich Fedorov

E-Mail Website
Guest Editor
Faculty of Energy, Department of Heat and Fuel Energy, Ulyanovsk State Technical University, 432027 Ulyanovsk, Russia
Interests: numerical modeling of hydro-gas-dynamic processes
Dr. Tamara Vladimirovna Karpukhina

E-Mail Website
Guest Editor
Faculty of Energy, Department of Heat and Fuel Energy, Ulyanovsk State Technical University, 432027 Ulyanovsk, Russia
Interests: heat and mass transfer; capillary-porous bodies; convective drying

Special Issue Information

Dear Colleagues,

Heat transfer processes play a huge role in the operation of various technical devices and industrial equipment; they also most often determine the physicochemical processes occurring in various technological cycles. In addition, the reliability of various industrial products, as well as individual units and parts, largely depends on the temperature conditions at which these products and their individual parts are operated.

The use of high-speed computers and their application in the advanced fields of science and technology (atomic, aviation, and space technologies) led to the rapid development of computational mathematics and methods for the numerical solution of all types of problems in mathematical physics. Mathematical modeling methods are used in the stages of development of mathematical models, numerical methods, software, and in the analysis of results, with subsequent implementation in practice. Despite the fact that experimentation continues to play a very important role, especially in the study of complex systems, there is a clear trend in the design process towards a wider use of the computational approach. This trend is largely saves money, while the cost of conducting experiments is steadily increasing, and the cost of computing equipment is constantly decreasing simultaneous to an increase in its performance.

This Special Issue “Mathematical Modeling and Numerical Research of Heat Transfer in Heterogeneous Flows” aims to collect outstanding research and comprehensive coverage of all aspects related to mathematical modeling and numerical research of heat transfer, as well as the results obtained in heterogeneous flows.

Topics include, but not are limited to:

  • Heat and mass transfer during chemical transformations;
  • Two-phase flows;
  • Dispersed flows and porous media;
  • Intensification of heat transfer;
  • Radiation and complex heat transfer.

Dr. Ruslan Vladimirovich Fedorov
Dr. Tamara Vladimirovna Karpukhina
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. Processes 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

  • mathematical modeling
  • numerical research
  • heat transfer
  • heterogeneous flows
  • dispersed flows
  • two-phase flows

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Published Papers (5 papers)

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Research

9 pages, 2067 KiB  
Article
Analysis of Bubble-Flow Characteristics in Scavenge Pipe and Establishment of a Flow-Prediction Model
by Xiaodi Liang, Suofang Wang and Wenjie Shen
Processes 2024, 12(7), 1364; https://doi.org/10.3390/pr12071364 - 30 Jun 2024
Viewed by 610
Abstract
In the modern aerospace industry, the importance of a lubrication system is self-evident for aero-engines, and the aero-engine bearing chamber return line is an even more challenging environment, as it involves a complex two-phase flow. The designer of the scavenge pipe needs to [...] Read more.
In the modern aerospace industry, the importance of a lubrication system is self-evident for aero-engines, and the aero-engine bearing chamber return line is an even more challenging environment, as it involves a complex two-phase flow. The designer of the scavenge pipe needs to have an accurate understanding of the flow conditions in the scavenge pipe. This paper establishes a visual scavenge pipe test system. The flow direction was vertical flow, the test temperature was 370 k, and a high-speed camera was used to take high-definition flow photographs, which can observe the three main flow types: bubble flow, slug flow, and annular flow. Code program was created to analyze many pictures taken to obtain the apparent flow rate and perimeter of bubbles in the pipe under different flow conditions and to explore the gas–liquid two-phase flow in the scavenge pipe. A support vector machine (SVM) was used for data regression prediction, and the converted velocities of the gas–oil phases were inputted as eigenvalues to obtain the predicted values of bubble-flow velocity. The bubble-flow analysis prediction model established in this paper has a good prediction effect with root mean square error RMSE = 0.0172, which can more objectively and accurately describe the bubble-flow characteristics in the scavenge pipe. Full article
(This article belongs to the Special Issue Mathematical Modeling and Numerical Research of Heat Transfer in Heterogeneous Flows)
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20 pages, 11341 KiB  
Article
Numerical Investigation on the Flow Instability of Dispersed Bubbly Flow in a Horizontal Contraction Section
by Jingxiang Chen, Wei Li, Cheng Fu, Jingzhi Zhang and David J. Kukulka
Processes 2022, 10(7), 1389; https://doi.org/10.3390/pr10071389 - 16 Jul 2022
Viewed by 1400
Abstract
Dispersed bubbly flow is important to understand when working in a wide variety of hydrodynamic engineering areas; the main objective of this work is to numerically study bubble-induced instability. Surface tension and bubble-induced turbulence effects are considered with the momentum and k- [...] Read more.
Dispersed bubbly flow is important to understand when working in a wide variety of hydrodynamic engineering areas; the main objective of this work is to numerically study bubble-induced instability. Surface tension and bubble-induced turbulence effects are considered with the momentum and k-ω transport equations. Steady dispersed bubbly flow is generated at the inlet surface using time-step and user-defined functions. In order to track the interface between the liquid and gas phases, the volume of fraction method is used. Several calculation conditions are considered in order to determine the effects of bubble diameter, bubble distribution, bubble velocity and bubble density on flow instability and void fraction. The void fraction of the domain is set to no more than 0.5% under different bubbly (micro/small) flow conditions; and the order of magnitude of the Reynolds number is 106. Results from the simulation indicate that velocity fluctuation induced by bubble swarm increases with increasing bubble diameter. Bubble density and bubble distribution seem to have a complex influence on flow instability. Bubble-induced turbulence results indicate that small bubbles produce a significant disturbance near the boundary region of bubble swarm; this indicates that induced bubble swarm has a potential capability of enhancing heat and mass transfer in the velocity boundary layer. Results from this study are useful for two-phase flow, bubble floatation and other hydrodynamic engineering applications. Full article
(This article belongs to the Special Issue Mathematical Modeling and Numerical Research of Heat Transfer in Heterogeneous Flows)
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17 pages, 9078 KiB  
Article
Infection Units: A Novel Approach for Modeling COVID-19 Spread
by Jose C. Merchuk, Francisco García-Camacho and Lorenzo López-Rosales
Processes 2021, 9(12), 2272; https://doi.org/10.3390/pr9122272 - 17 Dec 2021
Cited by 1 | Viewed by 2616
Abstract
A novel mechanistic model of COVID-19 spread is presented. The pool of infected individuals is not homogeneously mixed but is viewed as a passage into which individuals enter upon the contagion, through which they pass (in the manner of “plug flow”) and exit [...] Read more.
A novel mechanistic model of COVID-19 spread is presented. The pool of infected individuals is not homogeneously mixed but is viewed as a passage into which individuals enter upon the contagion, through which they pass (in the manner of “plug flow”) and exit at their recovery points within a fixed time. Our novel concept of infection unit is defined. The model separately considers various population pools: two of symptomatic and asymptomatic infected patients; three different pools of recovered individuals; of assisted hospitalized patients; of the quarantined; and of those who die from COVID-19. Transmission of this disease is described by an infection rate function, modulated by an encounter frequency function. This definition makes redundant the addition of a separate pool for the exposed, as done in several other models. Simulations are presented. The effects of social restrictions and of quarantine policies on pandemic spread are demonstrated. The model differs conceptually from others of the kind in the description of the transmission dynamics of the disease. A set of experimental data is used to calibrate our model, which predicts the dynamic behavior of each of the defined pools during pandemic spread. Full article
(This article belongs to the Special Issue Mathematical Modeling and Numerical Research of Heat Transfer in Heterogeneous Flows)
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15 pages, 7312 KiB  
Article
Computational Investigation of the Combined Impact of Nonlinear Radiation and Magnetic Field on Three-Dimensional Rotational Nanofluid Flow across a Stretchy Surface
by Azad Hussain, Mohamed Abdelghany Elkotb, Mubashar Arshad, Aysha Rehman, Kottakkaran Sooppy Nisar, Ali Hassan and C. Ahamed Saleel
Processes 2021, 9(8), 1453; https://doi.org/10.3390/pr9081453 - 20 Aug 2021
Cited by 33 | Viewed by 2105
Abstract
This comparative study inspects the MHD three-dimensional revolving flow and temperature transmission of a radiative stretching surface. The flow of nanofluid is modeled using the Tiwari and Das model. Water is the base fluid, and the nanoparticles are composed of two different types [...] Read more.
This comparative study inspects the MHD three-dimensional revolving flow and temperature transmission of a radiative stretching surface. The flow of nanofluid is modeled using the Tiwari and Das model. Water is the base fluid, and the nanoparticles are composed of two different types of nanoparticle, i.e., gold and silver (Au and Ag). The non-radiative heat flow notion is examined in a temperature field that results in a nonlinear energy equation. Conformist transformations are used to generate a self-similar arrangement of the leading differential system. The resulting system has an intriguing temperature ratio constraint, which shows whether the flow has a little or significant temperature differential. By using a powerful mathematical technique, numerical results are obtained. The solutions are influenced by both stretching and rotation. The difference in velocity constituents with the elements’ volume fraction is non-monotonic. Results for the rotating nanofluid flow and heat transfer properties for both types of nanoparticles are highlighted with graphs. The impact of physical concentrations, such as heat flux rates and skin friction constants, are examined at the linear extending surface and clarified graphically. Ag-water nanofluid has a high-temperature transfer constant compared to Au-water nanofluid. The velocity profile was also discovered to have a parabolic distribution shape. Full article
(This article belongs to the Special Issue Mathematical Modeling and Numerical Research of Heat Transfer in Heterogeneous Flows)
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21 pages, 8382 KiB  
Article
Numerical Analyses of Heterogeneous CLC Reaction and Transport Processes in Large Oxygen Carrier Particles
by Guanping Huo and Xueyan Guo
Processes 2021, 9(1), 125; https://doi.org/10.3390/pr9010125 - 8 Jan 2021
Cited by 9 | Viewed by 2571
Abstract
Heterogeneous chemical looping combustion (CLC) reactions and conjugate transports in large oxygen carrier particles were numerically investigated with computational fluid dynamics (CFD) approaches, in which a simplified noncatalytic reaction model was implemented for reducing intraparticle modelling computation. Volumic gas-solid reactions were treated as [...] Read more.
Heterogeneous chemical looping combustion (CLC) reactions and conjugate transports in large oxygen carrier particles were numerically investigated with computational fluid dynamics (CFD) approaches, in which a simplified noncatalytic reaction model was implemented for reducing intraparticle modelling computation. Volumic gas-solid reactions were treated as surface reactions based on the equivalent internal surface in the particle model. In large porous particles such as fixed bed CLC reactors, the heterogeneous reactions are often limited by intraparticle diffusion. Comprehensive analyses were conducted on transports across the particle surface and their influences on reactions inside the single particles. A threshold Reynolds number of external convections was found for the enhancement of intraparticle reactions. The heterogeneous reactions, intraparticle diffusions and interstitial transports in a fixed bed CLC reactor randomly packed with 597 spheres were thoroughly analysed with the same numerical approaches. Comprehensive insights of the temporal evolution and spatial distribution of scalars in the packed bed reactor were presented. Full article
(This article belongs to the Special Issue Mathematical Modeling and Numerical Research of Heat Transfer in Heterogeneous Flows)
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