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Entropy in Computational Fluid Dynamics III

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Thermodynamics".

Deadline for manuscript submissions: closed (20 June 2022) | Viewed by 17501

Special Issue Editors

Institute of Multiphase Flows, Hamburg University of Technology, 21073 Hamburg, Germany
Interests: interest: fluid mechanics; heat/mass transfer; direct numerical simulation; turbulence modeling; second law analysis; skin friction reduction; gas turbine; biological and physiological flows; nano- and micro-fluid flows
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Guest Editor
School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China
Interests: thermal metamaterial; advanced optoelectronic materials and devices; nuclear technology; thermofluids engineering

Special Issue Information

Dear Colleagues,

Losses in a flow and heat transfer process, from a thermodynamics point of view, are due to irreversible processes. In order to better understand the physics of these loss-producing mechanisms, fluid mechanic and heat transfer considerations might be complemented by some thermodynamic concepts with respect to the irreversible processes involved. Basically, these are concepts that assess energy by its value in terms of its convertibility from one form to another.

Second law analysis (SLA) is often used in thermodynamics in order to assess an irreversible process. According to SLA, the quality of a flow and heat transfer process, and how reversible it is can only be assessed by the entropy generation rate. In our Special Issue, “Entropy in Computational Fluid Dynamics”, SLA was applied to both engineering applications and fundamental studies with respect to flow and heat transfer problems. The studies in the Special Issue show that the SLA is a powerful tool for analyzing computational fluid dynamics (CFD) results.

The current Special Issue will further enhance the knowledge about how to interpret CFD results with SLA. The analysis of irreversibility in traditional flow or heat transfer processes, e.g., evaluating irreversibility in gas turbines, is the main topic of this Special Issue. Besides traditional problems, irreversible processes in emerging subjects, such as nano- and microfluid flows, and biological and physiological flows, are also of interest.

Dr. Yan Jin
Dr. Haochun Zhang
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. Entropy 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 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

  • Entropy and turbulent flows
  • Entropy generation in heat/mass transfer processes
  • Entropy generation in multiphase flows
  • Modeling and calculation of the entropy generation with high accuracy
  • Optimization with the second law of thermodynamics
  • Skin friction reduction and heat transfer enhancement
  • Optimization of gas turbines with the second law of thermodynamics
  • Entropy generation in biological and physiological flows
  • Entropy generation in nano- and micro-fluid flows
  • Entropy generation and transportation of aerosol particles

Published Papers (8 papers)

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Research

21 pages, 14209 KiB  
Article
Energy Characteristics of a Bidirectional Axial-Flow Pump with Two Impeller Airfoils Based on Entropy Production Analysis
by Fan Meng and Yanjun Li
Entropy 2022, 24(7), 962; https://0-doi-org.brum.beds.ac.uk/10.3390/e24070962 - 11 Jul 2022
Cited by 6 | Viewed by 1349
Abstract
This research sought to determine the spatial distribution of hydraulic losses for a bidirectional axial-flow pump with arc- and S-shaped impellers. The unsteady Reynolds time-averaged Stokes (URANS) approach with the SST k-omega model was used to predict the internal flow field. The total [...] Read more.
This research sought to determine the spatial distribution of hydraulic losses for a bidirectional axial-flow pump with arc- and S-shaped impellers. The unsteady Reynolds time-averaged Stokes (URANS) approach with the SST k-omega model was used to predict the internal flow field. The total entropy production (TEP) and total entropy production rate (TEPR) were used to evaluate the overall and local hydraulic losses. The results show that the distribution of TEP and TEPR was similar for both impeller cases. Under a forward condition, TEP mainly comes from the impeller and elbow pipe. The high TEPR inside the impeller can be found near the shroud, and it shifts from the leading edge to the trailing edge with an increase in the flow rate due to the decline in the attack angle. The high TEPR inside the elbow pipe can be seen near the inlet, and the area shrinks with an increase in the flow rate caused by a reduction in the velocity circulation. Under the reverse condition, TEP mainly comes from the impeller and the straight pipe. The TEPR of the region near the shroud is obviously higher than for other regions, and the area of high TEPR near the suction side shrinks with an increase in the flow rate. The high TEPR of the straight pipe can be found near the inlet, and declines in the flow direction. These results provide a theoretical reference for future work to optimize the design of the bidirectional axial-flow pump. Full article
(This article belongs to the Special Issue Entropy in Computational Fluid Dynamics III)
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19 pages, 5752 KiB  
Article
Numerical Study of Fin-and-Tube Heat Exchanger in Low-Pressure Environment: Air-Side Heat Transfer and Frictional Performance, Entropy Generation Analysis, and Model Development
by Lei Zhang, Junwei Wang, Ran Liu, Guohua Li, Xiao Han, Zhiqiang Zhang, Jiayi Zhao and Baomin Dai
Entropy 2022, 24(7), 887; https://0-doi-org.brum.beds.ac.uk/10.3390/e24070887 - 28 Jun 2022
Cited by 5 | Viewed by 2116
Abstract
Heat transfer and frictional performance at the air-side is predominant for the application and optimization of finned tube heat exchangers. For aerospace engineering, the heat exchanger operates under negative pressure, whereas the general prediction models of convective heat transfer coefficient and pressure penalty [...] Read more.
Heat transfer and frictional performance at the air-side is predominant for the application and optimization of finned tube heat exchangers. For aerospace engineering, the heat exchanger operates under negative pressure, whereas the general prediction models of convective heat transfer coefficient and pressure penalty for this scenario are rarely reported. In the current study, a numerical model is developed to determine the air-side heat transfer and frictional performance. The influence of air pressure (absolute pressure) is discussed in detail, and the entropy generation considering the effect of heat transfer and pressure drop are analyzed. Furthermore, prediction models of air-side thermal and frictional factors are also developed. The results indicate that both the convective heat transfer coefficient and pressure penalty decrease significantly with decreasing air pressure, and the air-side heat transfer coefficient is decreased by 64.6~73.3% at an air pressure of 25 kPa compared with normal environment pressure. The entropy generation by temperature difference accounts for the highest proportion of the total entropy generation. The prediction correlations of Colburn j-factor and friction factor f show satisfactory accuracy with the absolute mean deviations of 7.48% and 9.42%, respectively. This study can provide a reference for the practical application of fined tube heat exchangers under a negative pressure environment. Full article
(This article belongs to the Special Issue Entropy in Computational Fluid Dynamics III)
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18 pages, 2780 KiB  
Article
Entropy Generation Analysis of the Flow Boiling in Microgravity Field
by Zijian Sun, Haochun Zhang, Qi Wang and Wenbo Sun
Entropy 2022, 24(4), 569; https://0-doi-org.brum.beds.ac.uk/10.3390/e24040569 - 18 Apr 2022
Cited by 2 | Viewed by 1943
Abstract
Entropy generation analysis of the flow boiling in microgravity field is conducted in this paper. A new entropy generation model based on the flow pattern and the phase change process is developed in this study. The velocity ranges from 1 m/s to 4 [...] Read more.
Entropy generation analysis of the flow boiling in microgravity field is conducted in this paper. A new entropy generation model based on the flow pattern and the phase change process is developed in this study. The velocity ranges from 1 m/s to 4 m/s, and the heat flux ranges from 10,000 W/m2 to 50,000 W/m2, so as to investigate their influence on irreversibility during flow boiling in the tunnel. A phase–change model verified by the Stefan problem is employed in this paper to simulate the phase–change process in boiling. The numerical simulations are carried out on ANSYS-FLUENT. The entropy generation produced by the heat transfer, viscous dissipation, turbulent dissipation, and phase change are observed at different working conditions. Moreover, the Be number and a new evaluation number, EP, are introduced in this paper to investigate the performance of the boiling phenomenon. The following conclusions are obtained: (1) a high local entropy generation will be obtained when only heat conduction in vapor occurs near the hot wall, whereas a low local entropy generation will be obtained when heat conduction in water or evaporation occurs near the hot wall; (2) the entropy generation and the Be number are positively correlated with the heat flux, which indicates that the heat transfer entropy generation becomes the major contributor of the total entropy generation with the increase of the heat flux; (3) the transition of the boiling status shows different trends at different velocities, which affects the irreversibility in the tunnel; (4) the critical heat flux (CHF) is the optimal choice under the comprehensive consideration of the first law and the second law of the thermodynamics. Full article
(This article belongs to the Special Issue Entropy in Computational Fluid Dynamics III)
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25 pages, 14759 KiB  
Article
Interaction Mechanism and Loss Analysis of Mixing between Film Cooling Jet and Passage Vortex
by Ziyu Chen, Kexin Hu, Yinbo Mao, Xinrong Su and Xin Yuan
Entropy 2022, 24(1), 15; https://0-doi-org.brum.beds.ac.uk/10.3390/e24010015 - 22 Dec 2021
Cited by 3 | Viewed by 2540
Abstract
The interaction between the film-cooling jet and vortex structures in the turbine passage plays an important role in the endwall cooling design. In this study, a simplified topology of a blunt body with a half-cylinder is introduced to simulate the formation of the [...] Read more.
The interaction between the film-cooling jet and vortex structures in the turbine passage plays an important role in the endwall cooling design. In this study, a simplified topology of a blunt body with a half-cylinder is introduced to simulate the formation of the leading-edge horseshoe vortex, where similarity compared with that in the turbine cascade is satisfied. The shaped cooling hole is located in the passage. With this specially designed model, the interaction mechanism between the cooling jet and the passage vortex can therefore be separated from the crossflow and the pressure gradient, which also affect the cooling jet. The loss-analysis method based on the entropy generation rate is introduced, which locates where losses of the cooling capacity occur and reveals the underlying mechanism during the mixing process. Results show that the cooling performance is sensitive to the hole location. The injection/passage vortex interaction can help enhance the coolant lateral coverage, thus improving the cooling performance when the hole is located at the downwash region. The coolant is able to conserve its structure in that, during the interaction process, the kidney vortex with the positive rotating direction can survive with the negative-rotating passage vortex, and the mixture is suppressed. However, the larger-scale passage vortex eats the negative leg of the kidney vortices when the cooling hole is at the upwash region. As a result, the coolant is fully entrained into the main flow. Changes in the blowing ratio alter the overall cooling effectiveness but have a negligible effect on the interaction mechanism. The optimum blowing ratio increases when the hole is located at the downwash region. Full article
(This article belongs to the Special Issue Entropy in Computational Fluid Dynamics III)
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19 pages, 27768 KiB  
Article
Constructal Optimization of Rectangular Microchannel Heat Sink with Porous Medium for Entropy Generation Minimization
by Wenlong Li, Zhihui Xie, Kun Xi, Shaojun Xia and Yanlin Ge
Entropy 2021, 23(11), 1528; https://0-doi-org.brum.beds.ac.uk/10.3390/e23111528 - 17 Nov 2021
Cited by 10 | Viewed by 1990
Abstract
A model of rectangular microchannel heat sink (MCHS) with porous medium (PM) is developed. Aspect ratio of heat sink (HS) cell and length-width ratio of HS are optimized by numerical simulation method for entropy generation minimization (EGM) according to constructal theory. The effects [...] Read more.
A model of rectangular microchannel heat sink (MCHS) with porous medium (PM) is developed. Aspect ratio of heat sink (HS) cell and length-width ratio of HS are optimized by numerical simulation method for entropy generation minimization (EGM) according to constructal theory. The effects of inlet Reynolds number (Re) of coolant, heat flux on bottom, porosity and volume proportion of PM on dimensionless entropy generation rate (DEGR) are analyzed. From the results, there are optimal aspect ratios to minimize DEGR. Given the initial condition, DEGR is 33.10% lower than its initial value after the aspect ratio is optimized. With the increase of Re, the optimal aspect ratio declines, and the minimum DEGR drops as well. DEGR gets larger and the optimal aspect ratio remains constant with the increasing of heat flux on bottom. For the different volume proportion of PM, the optimal aspect ratios are diverse, but the minimum DEGR almost stays unchanged. The twice minimized DEGR, which results from aspect ratio and length-width ratio optimized simultaneously, is 10.70% lower than the once minimized DEGR. For a rectangular bottom, a lower DEGR can be reached by choosing the proper direction of fluid flow. Full article
(This article belongs to the Special Issue Entropy in Computational Fluid Dynamics III)
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32 pages, 5318 KiB  
Article
Falkner–Skan Flow with Stream-Wise Pressure Gradient and Transfer of Mass over a Dynamic Wall
by Muhammad Fawad Khan, Muhammad Sulaiman, Carlos Andrés Tavera Romero and Ali Alkhathlan
Entropy 2021, 23(11), 1448; https://0-doi-org.brum.beds.ac.uk/10.3390/e23111448 - 31 Oct 2021
Cited by 9 | Viewed by 2447
Abstract
In this work, an important model in fluid dynamics is analyzed by a new hybrid neurocomputing algorithm. We have considered the Falkner–Skan (FS) with the stream-wise pressure gradient transfer of mass over a dynamic wall. To analyze the boundary flow of the FS [...] Read more.
In this work, an important model in fluid dynamics is analyzed by a new hybrid neurocomputing algorithm. We have considered the Falkner–Skan (FS) with the stream-wise pressure gradient transfer of mass over a dynamic wall. To analyze the boundary flow of the FS model, we have utilized the global search characteristic of a recently developed heuristic, the Sine Cosine Algorithm (SCA), and the local search characteristic of Sequential Quadratic Programming (SQP). Artificial neural network (ANN) architecture is utilized to construct a series solution of the mathematical model. We have called our technique the ANN-SCA-SQP algorithm. The dynamic of the FS system is observed by varying stream-wise pressure gradient mass transfer and dynamic wall. To validate the effectiveness of ANN-SCA-SQP algorithm, our solutions are compared with state-of-the-art reference solutions. We have repeated a hundred experiments to establish the robustness of our approach. Our experimental outcome validates the superiority of the ANN-SCA-SQP algorithm. Full article
(This article belongs to the Special Issue Entropy in Computational Fluid Dynamics III)
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19 pages, 11460 KiB  
Article
Energy Loss and Radial Force Variation Caused by Impeller Trimming in a Double-Suction Centrifugal Pump
by Qifan Deng, Ji Pei, Wenjie Wang, Bin Lin, Chenying Zhang and Jiantao Zhao
Entropy 2021, 23(9), 1228; https://0-doi-org.brum.beds.ac.uk/10.3390/e23091228 - 18 Sep 2021
Cited by 15 | Viewed by 2212
Abstract
Impeller trimming is an economical method for broadening the range of application of a given pump, but it can destroy operational stability and efficiency. In this study, entropy production theory was utilized to analyze the variation of energy loss caused by impeller trimming [...] Read more.
Impeller trimming is an economical method for broadening the range of application of a given pump, but it can destroy operational stability and efficiency. In this study, entropy production theory was utilized to analyze the variation of energy loss caused by impeller trimming based on computational fluid dynamics. Experiments and numerical simulations were conducted to investigate the energy loss and fluid-induced radial forces. The pump’s performance seriously deteriorated after impeller trimming, especially under overload conditions. Energy loss in the volute decreased after trimming under part-load conditions but increased under overload conditions, and this phenomenon made the pump head unable to be accurately predicted by empirical equations. With the help of entropy production theory, high-energy dissipation regions were mainly located in the volute discharge diffuser under overload conditions because of the flow separation and the mixing of the main flow and the stalled fluid. The increased incidence angle at the volute’s tongue after impeller trimming resulted in more serious flow separation and higher energy loss. Furthermore, the radial forces and their fluctuation amplitudes decreased under all the investigated conditions. The horizontal components of the radial forces in all cases were much higher than the vertical components. Full article
(This article belongs to the Special Issue Entropy in Computational Fluid Dynamics III)
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16 pages, 5768 KiB  
Article
Investigation on the Mechanism and Parametric Description of Non-Synchronous Blade Vibration
by Mingming Zhang, Anping Hou and Yadong Han
Entropy 2021, 23(4), 383; https://0-doi-org.brum.beds.ac.uk/10.3390/e23040383 - 24 Mar 2021
Cited by 1 | Viewed by 1389
Abstract
In order to explore the mechanism during the process of the non-synchronous vibration (NSV), the flow field formation development is investigated in this paper. Based on the fluid–structure interaction method, the vibration of rotor blades is found to be in the first bending [...] Read more.
In order to explore the mechanism during the process of the non-synchronous vibration (NSV), the flow field formation development is investigated in this paper. Based on the fluid–structure interaction method, the vibration of rotor blades is found to be in the first bending mode with a non-integral order (4.6) of the rotation speed. Referring to the constant inter blade phase angle (IBPA), the appearances of frequency-locking and phase-locking can be identified for the NSV. A periodical instability flow emerges in the tip region with the mixture of separation vortex and tip leakage flow. Due to the nonlinearities of fluid and structure, the blade vibration exhibits a limit cycle oscillation (LCO) response. The separation vortex presenting a spiral structure propagates in the annulus, indicating a pattern as modal oscillation. A flow induced vibration is initiated by the spiral vortex in the tip. The large pressure oscillation caused by the movement of the spiral vortex is regarded as a main factor for the presented NSV. As the oscillation of blade loading occurs with blade rotating pass the disturbances, the intensity of the reverse leakage flow in adjacent channels also plays a crucial role in the blade vibration. Full article
(This article belongs to the Special Issue Entropy in Computational Fluid Dynamics III)
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