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Novel Numerical Methods in Heat and Mass Transfer
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Novel Numerical Methods in Heat and Mass Transfer

A special issue of Energies (ISSN 1996-1073). This special issue belongs to the section "J1: Heat and Mass Transfer".

Deadline for manuscript submissions: closed (15 February 2022) | Viewed by 10007

Special Issue Editors

Prof. Dr. Magdalena Piasecka

E-Mail Website
Guest Editor
Faculty of Mechatronics and Mechanical Engineering, Kielce University of Technology, Al. Tysiaclecia Panstwa Polskiego 7, 25-314 Kielce, Poland
Interests: heat transfer; minichannels; minigaps; compact heat exchangers; two-phase flow; heat transfer enhancement; temperature measurement; computational methods for solving inverse heat transfer problems; thermal and production engineering; quality management tools
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Krzysztof Dutkowski

E-Mail Website
Guest Editor
Faculty of Mechanical Engineering, Koszalin University of Technology, Raclawicka Street 15-17, 75-620 Koszalin, Poland
Interests: fluid mechanics; thermodynamics; heat transfer; multi-phase flows; renewable energy sources

Special Issue Information

Dear Colleagues,

We are pleased to offer you the possibility of submitting articles for a Special Issue of the Energies journal titled “Novel Numerical Methods in Heat and Mass Transfer”.

Fluid mechanics is a branch of physics that describes phenomena related to the movement of liquids and gases. The problems of fluid mechanics (including fluid dynamics) are solved using analytical, experimental, and computational (numerical) methods. Analytical methods allow for solving simple cases, e.g. concerning fixed flows or geometrically not complicated ones - in one- or two-dimensional space. The use of experimental methods in the study of fluid mechanics requires the construction of expensive facilities, equipped with specialized control and measurement equipment. It is often an insurmountable barrier that makes it impossible to verify the research hypotheses. The solution to these problems may be numerical fluid mechanics. In the first period of its development, it did not enjoy wide interest, as it required tedious and monotonous calculations. The situation was changed by the use of computers, which replaced humans in carrying out time-consuming calculations.

Technological progress has made it possible to use the enormous computing power installed in personal computers to solve differential equations of fluid mechanics, including the most important - the Navier-Stokes equation. The task might seem very simple. In fact, the use of the Navier-Stokes equation to solve turbulent flow problems has still not been mastered.

Due to the obvious benefits of using CFDs to solve fluid mechanics problems, which are: a) small financial outlays compared to the construction costs of experimental facilities; b) the ability to simulate increasingly complex problems; c) almost instant  availability of computer experimental data, d) the ease of analysis and processing of the results, the computer methods of fluid mechanics are developing dynamically.

In this special issue, we would like to encourage you to present original studies devoted to contemporary aspects of the use of numerical methods in the area of ​​Heat and Mass Transfer.

Prof. Dr. Magdalena Piasecka
Prof. Dr. Krzysztof Dutkowski
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. Energies 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

  • CFD
  • heat transfer
  • mass transfer
  • fluid flow
  • phase-change
  • heat exchangers

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Published Papers (5 papers)

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Editorial

Jump to: Research

3 pages, 152 KiB  
Editorial
Novel Numerical Methods in Heat and Mass Transfer
by Magdalena Piasecka and Krzysztof Dutkowski
Energies 2022, 15(7), 2635; https://doi.org/10.3390/en15072635 - 4 Apr 2022
Cited by 1 | Viewed by 1348
Abstract
The Special Issue entitled “Novel Numerical Methods in Heat and Mass Transfer” focuses on such issues as CFD modeling of fluid flow, heat transfer characteristics, mass transfer, phase-change and heat exchangers. The Guest Editors of this Special Issue, under the support and auspices [...] Read more.
The Special Issue entitled “Novel Numerical Methods in Heat and Mass Transfer” focuses on such issues as CFD modeling of fluid flow, heat transfer characteristics, mass transfer, phase-change and heat exchangers. The Guest Editors of this Special Issue, under the support and auspices of the publishing house, and through its editors, invited the authors to publish their latest achievements in the area of numerical methods used in the area of heat and mass transfer. A short overview of the successful invited submission articles devoted to the above-mentioned subject is presented with the hope that these valuable works will be of interest to a wide range of readers, as the topic is important and worth further scientific attention. Full article
(This article belongs to the Special Issue Novel Numerical Methods in Heat and Mass Transfer)

Research

Jump to: Editorial

15 pages, 2509 KiB  
Article
A Fourth Order Numerical Scheme for Unsteady Mixed Convection Boundary Layer Flow: A Comparative Computational Study
by Yasir Nawaz, Muhammad Shoaib Arif, Wasfi Shatanawi and Muhammad Usman Ashraf
Energies 2022, 15(3), 910; https://doi.org/10.3390/en15030910 - 27 Jan 2022
Cited by 9 | Viewed by 1782
Abstract
In this paper, a three-stage fourth-order numerical scheme is proposed. The first and second stages of the proposed scheme are explicit, whereas the third stage is implicit. A fourth-order compact scheme is considered to discretize space-involved terms. The stability of the fourth-order scheme [...] Read more.
In this paper, a three-stage fourth-order numerical scheme is proposed. The first and second stages of the proposed scheme are explicit, whereas the third stage is implicit. A fourth-order compact scheme is considered to discretize space-involved terms. The stability of the fourth-order scheme in space and time is checked using the von Neumann stability criterion for the scalar case. The stability region obtained by the scheme is more than the one given by explicit Runge–Kutta methods. The convergence conditions are found for the system of partial differential equations, which are non-dimensional equations of heat transfer of Stokes first and second problems. The comparison of the proposed scheme is made with the existing Crank–Nicolson scheme. From this comparison, it can be concluded that the proposed scheme converges faster than the Crank–Nicolson scheme. It also produces less relative error than the Crank–Nicolson method for time-dependent problems. Full article
(This article belongs to the Special Issue Novel Numerical Methods in Heat and Mass Transfer)
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13 pages, 3513 KiB  
Article
Optimum Multi-Mini-Channels Height for Heat Enhancement under Forced Convection Condition
by M. Z. Saghir and Z. Alhajaj
Energies 2021, 14(21), 7020; https://doi.org/10.3390/en14217020 - 27 Oct 2021
Cited by 4 | Viewed by 1850
Abstract
Heat enhancement and heat removal remain important topics in engineering. Furthermore, flow in a laminar regime can reduce the cost of cooling. In the present study, flow in mini channels in a rectangular cavity is investigated with water as a circulating fluid. The [...] Read more.
Heat enhancement and heat removal remain important topics in engineering. Furthermore, flow in a laminar regime can reduce the cost of cooling. In the present study, flow in mini channels in a rectangular cavity is investigated with water as a circulating fluid. The height of the channel in the cavity is varied and interaction of the free flow above the channel with flow through the channel has been investigated. It is shown that a combination of these two flows can provide the optimum heat removal at a Reynolds number of 750. This finding is valid if one ignores the friction effect to the wall. The best configuration is for an aspect ratio AR = 6. If the pressure drop is taken into consideration, then the performance evaluation criterion shows that the mini-channel with aspect ratio AR = 12 is the best configuration. Different correlations have been obtained between the Nusselt number, pressure drop, friction factor, performance evaluation criterion, and the Reynolds number and the height of the channels. Full article
(This article belongs to the Special Issue Novel Numerical Methods in Heat and Mass Transfer)
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16 pages, 3995 KiB  
Article
Trefftz Method of Solving a 1D Coupled Thermoelasticity Problem for One- and Two-Layered Media
by Artur Maciąg and Krzysztof Grysa
Energies 2021, 14(12), 3637; https://doi.org/10.3390/en14123637 - 18 Jun 2021
Cited by 5 | Viewed by 1640
Abstract
This paper discusses a 1D one-dimensional mathematical model for the thermoelasticity problem in a two-layer plate. Basic equations in dimensionless form contain both temperature and displacement. General solutions of homogeneous equations (displacement and temperature equations) are assumed to be a linear combination of [...] Read more.
This paper discusses a 1D one-dimensional mathematical model for the thermoelasticity problem in a two-layer plate. Basic equations in dimensionless form contain both temperature and displacement. General solutions of homogeneous equations (displacement and temperature equations) are assumed to be a linear combination of Trefftz functions. Particular solutions of these equations are then expressed with appropriately constructed sums of derivatives of general solutions. Next, the inverse operators to those appearing in homogeneous equations are defined and applied to the right-hand sides of inhomogeneous equations. Thus, two systems of functions are obtained, satisfying strictly a fully coupled system of equations. To determine the unknown coefficients of these linear combinations, a functional is constructed that describes the error of meeting the initial and boundary conditions by approximate solutions. The minimization of the functional leads to an approximate solution to the problem under consideration. The solutions for one layer and for a two-layer plate are graphically presented and analyzed, illustrating the possible application of the method. Our results show that increasing the number of Trefftz functions leads to the reduction of differences between successive approximations. Full article
(This article belongs to the Special Issue Novel Numerical Methods in Heat and Mass Transfer)
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17 pages, 5440 KiB  
Article
An Explicit Fourth-Order Compact Numerical Scheme for Heat Transfer of Boundary Layer Flow
by Yasir Nawaz, Muhammad Shoaib Arif, Wasfi Shatanawi and Amna Nazeer
Energies 2021, 14(12), 3396; https://doi.org/10.3390/en14123396 - 9 Jun 2021
Cited by 30 | Viewed by 2391
Abstract
The main contribution of this article is to propose a compact explicit scheme for solving time-dependent partial differential equations (PDEs). The proposed explicit scheme has an advantage over the corresponding implicit compact scheme to find solutions of nonlinear and linear convection–diffusion type equations [...] Read more.
The main contribution of this article is to propose a compact explicit scheme for solving time-dependent partial differential equations (PDEs). The proposed explicit scheme has an advantage over the corresponding implicit compact scheme to find solutions of nonlinear and linear convection–diffusion type equations because the implicit existing compact scheme fails to obtain the solution. In addition, the present scheme provides fourth-order accuracy in space and second-order accuracy in time, and is constructed on three grid points and three time levels. It is a compact multistep scheme and conditionally stable, while the existing multistep scheme developed on three time levels is unconditionally unstable for parabolic and considered a type of equations. The mathematical model of the heat transfer in a mixed convective radiative fluid flow over a flat plate is also given. The convergence conditions of dimensionless forms of these equations are given, and also the proposed scheme solves equations, and results are compared with two existing schemes. It is hoped that the results in the current report are a helpful source for future fluid-flow studies in an industrial environment in an enclosure area. Full article
(This article belongs to the Special Issue Novel Numerical Methods in Heat and Mass Transfer)
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