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Abstract

This paper presents a numerical analysis of the thermal-flow characteristics for a laminar flow inside a rectangular microchannel. The flow of water through channels with thin obstacles mounted on opposite walls was analyzed. The studies were conducted with a low Reynolds number (from 20 to 200). Different heights of rectangular obstacles were analyzed to see if geometrical factors influence fluid flow and heat exchange in the microchannel. Despite of the fact that the use of thin obstacles in the microchannels leads to an increase in the pressure drop, the increase in the height of the obstacles favors a significant intensification of heat exchange with the maximum thermal gain factor of 1.9 for the obstacle height coefficient h/H=0.5, which could be acceptable for practical application.
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Bibliography

[1] Y.-T. Yang and S. Yang. Numerical study of turbulent flow in two-dimensional channel with surface mounted obstacle. International Journal of Heat and Mass Transfer, 37(18):2985–2991, 1994. doi: 10.1016/0017-9310(94)90352-2.
[2] K. Sivakumar, T. Sampath Kumar, S. Sivasankar, V. Ranjithkumar, and A. Ponshanmugakumar. Effect of rib arrangements on the flow pattern and heat transfer in internally ribbed rectangular divergent channels. Materials Today: Proceedings, 46(9):3379–3385, 2021. doi: 10.1016/j.matpr.2020.11.548.
[3] T.M. Liou, S.W. Chang, and S.P. Chan. Effect of rib orientation on thermal and fluid-flow features in a two-pass parallelogram channel with abrupt entrance. International Journal of Heat and Mass Transfer, 116:152–165, 2018. doi: 10.1016/j.ijheatmasstransfer.2017.08.094.
[4] W. Yang, S. Xue, Y. He, and W. Li. Experimental study on the heat transfer characteristics of high blockage ribs channel. Experimental Thermal and Fluid Science, 83:248–259, 2017. doi: 10.1016/j.expthermflusci.2017.01.016.
[5] F.B. Teixeira, M.V. Altnetter, G. Lorenzini, B.D. do A. Rodriguez, L.A.O. Rocha, L.A. Isoldi, and E.D. dos Santos. Geometrical evaluation of a channel with alternated mounted blocks under mixed convection laminar flows using constructal design. Journal of Engineering Thermophysics, 29(1): 92–113, 2020. doi: 10.1134/S1810232820010087.
[6] A. Korichi and L. Oufer. Numerical heat transfer in a rectangular channel with mounted obstacles on upper and lower walls. International Journal of Thermal Sciences, 44(7):644–655, 2005. doi: 10.1016/j.ijthermalsci.2004.12.003.
[7] L.C. Demartini, H.A. Vielmo, and S.V. Möller. Numeric and experimental analysis of the turbulent flow through a channel with baffle plates. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 26(2):153–159, 2004. doi: 0.1590/S1678-58782004000200006.
[8] Y.T. Yang and C.Z. Hwang. Calculation of turbulent flow and heat transfer in a porous-baffled channel. International Journal of Heat and Mass Transfer, 46(5):771–780, 2003. doi: 0.1016/S0017-9310(02)00360-5.
[9] G. Wang, T. Chen, M. Tian, and G. Ding. Fluid and heat transfer characteristics of microchannel heat sink with truncated rib on sidewall. International Journal of Heat and Mass Transfer, 148:119142, 2020. doi: 10.1016/j.ijheatmasstransfer.2019.119142.
[10] S. Mahjoob and S. Kashkuli. Thermal transport analysis of injected flow through combined rib and metal foam in converging channels with application in electronics hotspot removal. International Journal of Heat and Mass Transfer, 177:121223, 2021. doi: 10.1016/j.ijheatmasstransfer.2021.121223.
[11] L. Chai, G.D. Xia, and H.S. Wang. Numerical study of laminar flow and heat transfer in microchannel heat sink with offset ribs on sidewalls. Applied Thermal Engineering, 92:32–41, 2016. doi: 10.1016/j.applthermaleng.2015.09.071.
[12] Y. Yin, R. Guo, C. Zhu, T. Fu, and Y. Ma. Enhancement of gas-liquid mass transfer in microchannels by rectangular baffles. Separation and Purification Technology, 236:116306, 2020. doi: 10.1016/j.seppur.2019.116306.
[13] A. Behnampour O.A. Akbari, M.R. Safaei, M. Ghavami, A. Marzban, G.A.S. Shabani, M. Zarringhalam, and R. Mashayekhi. Analysis of heat transfer and nanofluid fluid flow in microchannels with trapezoidal, rectangular and triangular shaped ribs. Physica E: Low-Dimensional Systems and Nanostructures, 91:15–31, 2017. doi: 10.1016/j.physe.2017.04.006.
[14] M.R. Gholami, O.A. Akbari, A. Marzban, D. Toghraie, G.A.S. Shabani, and M. Zarringhalam. The effect of rib shape on the behavior of laminar flow of {oil/MWCNT} nanofluid in a rectangular microchannel. Journal of Thermal Analysis and Calorimetry, 134(3):1611–1628, 2018. doi: 10.1007/s10973-017-6902-3.
[15] O.A. Akbari, D. Toghraie, A. Karimipour, M.R. Safaei, M. Goodarzi, H. Alipour, and M. Dahari. Investigation of rib’s height effect on heat transfer and flow parameters of laminar water-{Al2O3} nanofluid in a rib-microchannel. Applied Mathematics and Computation, 290:135–153, 2016. doi: 10.1016/j.amc.2016.05.053.
[16] B. Mondal, S. Pati, and P.K. Patowari. Analysis of mixing performances in microchannel with obstacles of different aspect ratios. Journal of Process Mechanical Engineering, 233(5):1045–1051, 2019. doi: 10.1177/0954408919826748.
[17] L. Chai, G.D. Xia, and H.S. Wang. Parametric study on thermal and hydraulic characteristics of laminar flow in microchannel heat sink with fan-shaped ribs on sidewalls -- Part 2: Pressure drop. International Journal of Heat and Mass Transfer, 97:1081–1090, 2016. doi: 10.1016/j.ijheatmasstransfer.2016.02.076.
[18] P. Pontes, I. Gonçalves, M. Andredaki, A. Georgoulas, A.L.N. Moreira, and A.S. Moita. Fluid flow and heat transfer in microchannel devices for cooling applications: Experimental and numerical approaches. Applied Thermal Engineering, 218:119358, 2023. doi: 10.1016/j.applthermaleng.2022.119358.
[19] B.K. Srihari, A. Kapoor, S. Krishnan, and S. Balasubramanian. Computational fluid dynamics studies on the flow of fluids through microchannel with intentional obstacles. AIP Conference Proceedings, 2516(1):170003. doi: 10.1063/5.0108550.
[20] T. Grzebyk and A. Górecka-Drzazga. Vacuum microdevices. Bulletin of the Polish Academy of Sciences: Technical Sciences, 60(1):19–23, 2012. doi: 10.2478/v10175-012-0004-y.
[21] M. Kmiotek and A. Kucaba-Piętal. Influence of slim obstacle geometry on the flow and heat transfer in microchannels. Bulletin of the Polish Academy of Sciences: Technical Sciences, 66(2):111–118, 2018. doi: 10.24425/119064.
[22] S. Baheri Islami, B. Dastvareh, and R. Gharraei. An investigation on the hydrodynamic and heat transfer of nanofluid flow, with non-Newtonian base fluid, in micromixers. International Journal of Heat and Mass Transfer, 78:917–929, 2014. doi: 10.1016/j.ijheatmasstransfer.2014.07.022.
[23] S. Baheri Islami, B. Dastvareh, and R. Gharraei. Numerical study of hydrodynamic and heat transfer of nanofluid flow in microchannels containing micromixer. International Communications in Heat and Mass Transfer, 43:146–154, 2013. doi: 10.1016/j.icheatmasstransfer.2013.01.002.
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[25] I. Adina R&D, Theory and Modling Guide, Vollume III: ADINA CFD&FSI, Report ARD. 2019.
[26] P.J. Roache. Verification and Validation in Computational Science and Engineering. Hermosa Publishers, 1998.
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Authors and Affiliations

Małgorzata Kmiotek
1
ORCID: ORCID
Robert Smusz
1
ORCID: ORCID

  1. Rzeszow University of Technology, The Faculty of Mechanical Engineering and Aeronautics, Rzeszow, Poland
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Abstract

The article presents the results of surveys to assess the attractiveness of centralized heat supply systems in comparison with other heat sources. The heat source is an important element of the heat supply system which determines heating costs, comfort and environmental impact. The decision on the choice of the type of heat supply system is usually made by the investor or designer. Sometimes the equipment supplier or contractor has a part in this decision. The choice can be influenced by many different factors, also resulting from the specific location of the building. This is only partly determined by local law in the form of a local spatial development plan. the technical conditions (i.e. availability of heating or gas network), economic and financial, as well as much more subjective factors, such as the designer’s or contractor’s preference are also important. Aversion to district heating is growing, even when there are favorable conditions and the possibility of connecting the building to the heating network. Instead, a gas boiler or electrically powered heat pump is selected. This raises the question of whether such decisions are right and how they can be justified. As a research method, surveys were used, which were conducted among people who already have or will have an impact on design and investment decisions in the near future. The obtained results confirmed a large interest in district heating, appreciating their advantages in comparison with other methods of heat generation. The respondents also had the disadvantages that may lead to the use of an alternative methods of heat supplying in mind.

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Authors and Affiliations

Grzegorz Bartnicki
Bogdan Nowak
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Abstract

The paper presents the methodology of designing a system for accumulating waste heat from industrial processes. The research aimed to analyse the fluid’s movement in the heat accumulator to unify the temperature field in the volume of water constituting the heat buffer. Using the computer program Ansys Fluent, a series of computational fluid dynamics simulations of the process of charging the heat storage with water at 60°C, 70°C, and 80°C was carried out. The selected temperatures correspond to the temperature range of unmanaged waste heat. In the presented solution, heat storage is loaded with water from the cooling systems of industrial equipment to store excess heat and use it at a later time. The results of numerical calculations were used to analyse the velocity and temperature fields in the selected structure of the modular heat storage. A novelty in the presented solution is the use of smaller modular heat storage units that allow any configuration of the heat storage system. This solution makes it possible to create heat storage with the required heat capacity.
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Authors and Affiliations

Piotr Górszczak
1
Marcin Rywotycki
1
Marcin Hojny
1
Grzegorz Filo
2

  1. AGH University of Krakow, Mickiewicza 30, 30-059 Kraków, Poland
  2. Cracow University of Technology, Jana Pawła II 37, 31-864 Kraków, Poland
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Abstract

Recent dynamic changes in global fossil fuels markets and the European carbon dioxide emission allowances system have significantly impacted the energy sectors. These fluctuations also influence district heating (DH) markets where coal and natural gas remain dominant energy vectors in numerous European countries. District heating markets are distinct from other commodity markets due to their local nature and distribution requirements. Consequently, they can operate under various market models and have different price design policies depending on the country and region. With these considerations, this study aims to review and analyse the current market models and regulations of price formulation in the context of final prices in selected district heating markets. The primary objective is to conduct an in-depth analysis of the key district heating markets in Poland and compare the outcomes with the markets of neighbouring countries, including the Czech Republic, Slovakia, Lithuania, Latvia, Estonia, and Germany. Poland is taken as an example due to its high dependence on fossil fuels and its vulnerability to current global price fluctuations. The results indicate that Poland has one of the most regulated district heating markets, and these regulations can impact the profitability of district heating companies with high prices of fuel and carbon certificates observed in global markets. To create incentives for potential investors and incumbent companies to develop more sustainable and low-emission district heating markets in Poland – where energy transition processes are still underway – it is recommended to increase the frequency of formulation and approval of tariffs.
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Authors and Affiliations

Aleksandra Komorowska
1
ORCID: ORCID
Tomasz Surma
2

  1. Mineral and Energy Economy Research Institute of the Polish Academy of Sciences, Kraków
  2. Veolia Energia Polska SA, Poland
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Abstract

The numerical simulation of the heat transfer in the flow channels of the minichannel heat exchanger was carried out. The applied model was validated on the experimental stand of an air heat pump. The influence of louver heights was investigated in the range from 0 mm (plain fin) to 7 mm (maximum height). The set of simulations was prepared in Ansys CFX. The research was carried out in a range of air inlet velocities from 1 to 5 m/s. The values of the Reynolds number achieved in the experimental tests ranged from 93 to 486. The dimensionless factors, the Colburn factor and friction factor, were calculated to evaluate heat transfer and pressure loss, respectively. The effectiveness of each louver height was evaluated using the parameter that relates to the heat transfer and the pressure drop in the airflow. The highest value of effectiveness (1.53) was achieved by the louver height of 7 mm for the Reynolds number of around 290.
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Authors and Affiliations

Artur Romaniak
1
Michał Jan Kowalczyk
1
Marcin Łęcki
1
Artur Gutkowski
1
Grzegorz Górecki
1

  1. Lodz University of Technology, Zeromskiego 116, 90-924 Łódz, Poland
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Abstract

In order to provide sufficient cooling capacity for working and heading faces of the coal mine, chilled water is often transported a long distance along pipelines in deep mine, which inevitably results in its temperature rising owing to heat transfer through pipe wall and the friction heat for flow resistance. Through theoretical models for temperature increasing of the chilled water were built. It is pointed out that the temperature rising of the chilled water should be considered as a result of the synergy effects of the heat transfer and the friction heat, but theoretical analysis shows that within engineering permitting error range, the temperature increasing can be regarded as the sum caused by heat transfer and fraction heat respectively, and the calculation is simplified. The calculation analysis of the above two methods was made by taking two type of pipe whose diameters are De273 × 7 mm and De377 × 10 mm, with 15 km length in coal mine as an example, which shows that the error between the two methods is not over 0.04°C within the allowable error range. Aims at the commonly used chilled water diameter pipe, it is proposed that if the specific frictional head loss is limited between 100 Pa/m and 400 Pa/m, the proportion of the frictional temperature rising is about 24%~81% of the total, and it will increase with high flow velocity and the thin of the pipe. As a result, the friction temperature rising must not be ignored and should be paid enough attention in calculation of the chilled water temperature rising along pipe.

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Authors and Affiliations

Qi Yudong
Cheng Weimin
Xin Song
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Abstract

In order to select the most optimum parameters for running heat recuperation process from aerobic composting process, three testing stages were run involving the registration of the value of recuperated heat volume and the observation of cooling impact on composting process parameters. The values of thermal conductivity coefficient were measured as a function of compost temperature, density and age. The values ranged from 0.171 to 0.300 W/mK. The optimum parameters for process running were selected. Basing on them it was estimated how much heat will be possible to recuperate during the composting process on industrial scale using a battery of heat exchangers. For artificially aerated pile with the following dimensions: lower base 8 m, upper base 5 m, height 3.5 m, length 3 m; it will be possible to recuperate approximately 7.4 kW (from 1 m2 of heat exchanger surface - 774 W).
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Authors and Affiliations

Ewa Klejment
Marian Rosiński
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Abstract

The paper presents the assumptions and methodology for investigating equivalent heat load testing of hot aircraft engine components. The basic heat loads occurring in an aircraft engine during aircraft flight are characterised. Diagrams of the proposed heat loads are presented, together with the number of cycles, and a test bench is characterised and shown to enable equivalent heat load testing of aircraft engine components.
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Bibliography

[1] Hejwowski, T., Weroński, A. (2000). Manufacture of wear-resistant coatings. Lublin: Politechnika Lubelska. (in Polish).
[2] Research stand in WSK PZL Rzeszów.
[3] Chaur, - Jeng Wang, & Jiaun, - Sheng Lin (2002). The oxidation of MAR M247 superalloy with Na2SO4 coating. Materials Chemistry and Physics. 76, 123-129. DOI: 10.1016/S0254-0584(01)00527-2.
[4] Goebel, J.A., Petit, F.S. & Howard, G.W. (1973). Mechanism for the hot corrosion of nickel base alloys. Metallurgical Transactions. 4, 261-270. https://doi.org/10.1007/BF02649626.
[5] Su, C.Y., Lih, W.C., Chou, C.P. & Tsai, H.C. (2001). Activated diffusion brased repair for IN 738 hot section components of gas turbine. Journal of Materials Processing Technology. 115(3), 326-332.

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Authors and Affiliations

Marek Mróz
ORCID: ORCID
A.W. Orłowicz
1
ORCID: ORCID
M. Tupaj
1
ORCID: ORCID
M. Lenik
1
ORCID: ORCID

  1. Rzeszow University of Technology, Al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland
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Abstract

This paper presents the methodology for determining thermal strains and stresses during heating the charge in a rotary furnace. The calculations were made with the original software, which uses the finite element method. The heat transfer boundary conditions used for computing were verified on the basis of industrial tests. Good compatibility between the experimental data and numerical calculations was obtained. The possibility of the material cracking occurrence was checked for a set exhaust gas temperature distribution on the furnace length. As a result, it was possible to develop steel heating curves characterized by short process times.

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Authors and Affiliations

A. Gołdasz
ORCID: ORCID
Z. Malinowski
ORCID: ORCID
A. Cebo-Rudnicka
ORCID: ORCID
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Abstract

In the paper, the results of numerical simulations of the steam flow in a shell and tube heat exchanger are presented. The efficiency of different models of turbulence was tested. In numerical calculations the following turbulence models were used: k-ε, RNG k-ε, Wilcox k-ω, Chen-Kim k-ε, and Lam-Bremhorst k-ε. Numerical analysis of the steam flow was carried out assuming that the flow at the inlet section of the heat exchanger were divided into three parts. The angle of steam flow at inlet section was determined individually in order to obtain the best configuration of entry vanes and hence improve the heat exchanger construction. Results of numerical studies were verified experimentally for a real heat exchanger. The modification of the inlet flow direction according to theoretical considerations causes the increase of thermal power of a heat exchanger of about 14%.

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Authors and Affiliations

Jarosław Bartoszewicz
Leon Bogusławski
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Abstract

A simplified isoperibol calorimetry method for measuring specific heat in solids is described. Taking advantage of the classical Nernst dependency the specific heat is calculated from time-domain temperature curves registered for a sample forced heating and natural cooling phase. In order to improve accuracy of the measurements a correction factor, taking into account the heat transferred to the surrounding, is introduced along with a procedure of statistical elimination of unavoidable measurement deviations. The method is implemented in a simple and straightforward measuring system involving no vacuum calorimeter. The method is applicable for quick and routine specific heat measurements performed on small solid dielectric or metallic specimens at near-room temperature. Test results of various materials used commonly in electrical engineering are demonstrated and discussed as well as comparison to drop calorimetry and differential scanning calorimetry reference measurements is included. The overall repeatability of the test method and the simplified apparatus is estimated as not worse than 2.6%.
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Authors and Affiliations

Leszek Moroń
Paweł Żyłka
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Abstract

Plate fin-tube heat exchangers fins are bonded with tubes by means of brazing or by mechanical expansion of tubes. Various errors made in the process of expansion can result in formation of an air gap between tube and fin. A number of numerical simulations was carried out for symmetric section of plate fin-tube heat exchanger to study the influence of air gap on heat transfer in forced convection conditions. Different locations of air gap spanning 1/2 circumference of the tube were considered, relatively to air flow direction. Inlet velocities were a variable parameter in the simulations (1– 5 m/s). Velocity and temperature fields for cases with air gap were compared with cases without it (ideal thermal contact). For the case of gap in the back of the tube (in recirculation zone) the lowest reduction (relatively to the case without gap) of heat transfer rate was obtained (average of 11%). The worst performance was obtained for the gap in the front (reduction relatively to full thermal contact in the average of 16%).

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Authors and Affiliations

Dariusz Andrzejewski
Marcin Łęcki
Artur Gutkowski
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Abstract

Thermodynamics deals with irreversible transformations of substances. Every thermodynamic property of a substance, as a function of two parameters describing its state, can be illustrated as a simply connected manifold. The term manifold stands for the Methods of Geometrical Representation of Thermodynamic Properties of Substances by Means of Surfaces. Generally, every transformation of a substance changes its energy (or enthalpy) by heat transfer and work done on it. All such changes (transformations) are considered to be irreversible and can be described using appropriate manifolds. Studies show that every transformation is associated with the degradation of energy. Such relations (between heat, work and other forms of energy or enthalpy) can be described by the Pfaff formulas and their integrations.

This article discusses the issue of irreversible energy degradation in heat transfer between two fluids. Irreversible heat transfer between separated fluids most often occurs through surface heat exchangers. All such processes are determined by convective heat transfer in thermal boundary layers and conduction through the wall. Consequently, entropy changes of fluids in heat and mass transfer can be observed in these layers. While the entropy rate of the heating fluid is negative and that of the heated medium is positive, the sum of entropy changes of all substances involved in the heat transfer process is always positive. These sums, known as entropy increase (entropy generation), can be interpreted as the measure of irreversible degradation of energy in heat transfer processes. The consequence of this degradation is that an arbitrary engine powered by the degraded (lower-temperature) heat flux will operate at a lower efficiency. The significance of this discussion relates especially to cases in power plants and cooling systems where surface heat exchangers are used. In the discussion proposed is the entropy increase as a criterion of irreversible energy degradation in heat transfer. Such introduced measure of effectiveness leads to an analysis of local overall heat transfer coefficient optimization on the cone-shaped manifold.

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Authors and Affiliations

Zbigniew Drożyński
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Abstract

The paper presents the algorithms for a flue gas/water waste-heat exchanger with and without condensation of water vapour contained in flue gas with experimental validation of theoretical results. The algorithms were used for calculations of the area of a heat exchanger using waste heat from a pulverised brown coal fired steam boiler operating in a power unit with a capacity of 900 MWe. In calculation of the condensing part, the calculation results obtained with two algorithms were compared (Colburn-Hobler and VDI algorithms). The VDI algorithm allowed to take into account the condensation of water vapour for flue gas temperatures above the temperature of the water dew point. Thanks to this, it was possible to calculate more accurately the required heat transfer area, which resulted in its reduction by 19 %. In addition, the influence of the mass transfer on the heat transfer area was taken into account, which contributed to a further reduction in the calculated size of the heat exchanger - in total by 28% as compared with the Colburn-Hobler algorithm. The presented VDI algorithm was used to design a 312 kW pilot-scale condensing heat exchanger installed in PGE Belchatow power plant. Obtained experimental results are in a good agreement with calculated values.

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Authors and Affiliations

Paweł Rączka
Kazimierz Wójs
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Abstract

Heat pipes, as passive elements show a high level of reliability when taking heat away and they can take away heat flows having a significantly higher density than systems with forced convection. A heat pipe is a hermetically closed duct, filled with working fluid. Transport of heat in heat pipes is procured by the change of state of the working fluid from liquid state to steam and vice versa and depends on the hydrodynamic and heat processes in the pipe. This study have been focused on observing the impact these processes have on the heat process, the transport of heat within the heat pipe with the help of thermovision. The experiment is oriented at scanning the changes in the surface temperatures of the basic structural types of capillary heat pipes in vertical position.

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Authors and Affiliations

Patrik Nemec
Alexander Čaja
Richard Lenhard
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Abstract

This article presents the current and future situation of heat consumption in the Republic of Kazakhstan. The predicted growth of thermal loads until 2030 is shown in the example of Karaganda city. Therefore, the task of creating and implementing automated heat points into the system of heat-supply complexes of cities of the Republic of Kazakhstan is relevant. The article considers the concept of measurement and processing of information in district heating supply systems based on variable cycles of the interrogation of parameters of heat supply at the heat points. As a result of the conducted research, a microcontroller SMART-system for the implementation of rational modes of heat supply used in the process of obtaining and processing information on heat-consumption parameters and making control decisions regarding variable cycles of heat-supply-parameter interrogation at heat points was developed and implemented. The results of the study have been successfully tested on the facilities equipped with automated heat points.
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Authors and Affiliations

Indira Sagynganova
1
Alexey Kalinin
2
Karshiga Smagulova
2
Dmitriy Lissitsyn
2
Darmen Abulkhairov
3
ORCID: ORCID

  1. L.N. Gumilyov Eurasian National University, Kazakhstan
  2. Karaganda Technical University, Kazakhstan
  3. S. Seifullin Kazakh Agrotechnical University, Kazakhstan
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Abstract

The purpose of this article was to discuss the use of adsorption chillers for waste heat recovery. The introduction discusses the need to undertake broader measures for the effective management of waste heat in the industry and discusses the benefits and technical problems related to heat recovery in industrial plants. In addition, heat sources for adsorption chillers and their application examples were described. The principle of operation of adsorption chillers is explained in the next chapter. Heat sources for adsorption chillers are indicated and their application examples are described. The above considerations have allowed the benefits and technical obstacles related to the use of adsorption chillers to be highlighted. The currently used adsorbents and adsorbates are discussed later in the article. The main part of the paper discusses the use of adsorption chillers for waste heat management in the glassworks. The calculations assumed the natural gas demand of 20.1 million m3 per year and the electricity demand of 20,000 MWh/year. As a result of conducted calculations, a 231 kW adsorption chiller, ensuring the annual cold production of 2,021 MWh, was selected. The economic analysis of the proposed solution has shown that the investment in the adsorption chiller supplied with waste heat from the heat recovery system will bring significant economic benefits after 10 years from its implementation, even with total investment costs of PLN 1,900,000. However, it was noted that in order to obtain satisfactory economic results the production must meet the demand while the cost of building a heat recovery system shall not exceed PLN 1 million.

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Authors and Affiliations

Jan Kuchmacz
Artur Bieniek
Łukasz Mika
ORCID: ORCID
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Abstract

The relevance of this study is explained by the growing interest in increasing heat transfer by the development of high-performance thermal systems. Increasing the thermal characteristics of heat-exchanger systems is necessary for the efficient use of an energy source. The purpose of this study is to review the existing methods of heat-transfer intensification and examine the mathematical model of such an increase in efficiency when using petal turbulators. This study is based on a high-quality, reliable combination of proven theoretical methods (analysis, synthesis, concretization, generalization, modelling), and empirical methods. It is the introduction of turbulators into the flow channel that is one of the best methods of increasing passive heat exchange through such advantages as ease of manufacture and operation in combination with low operating and production costs. This study contains both passive and active methods of heat-exchange intensification that have been extensively investigated over the past decade. For this purpose, the newest studies of mainly authors from other countries were used, their detailed analysis was conducted and the results were summed up. In addition, a mathematical model of increasing the thermal efficiency of convective heating surfaces in a bundle of smooth pipes using petal turbulators was investigated, the results of which were tested on an experimental installation. The paper may interest a circle of readers interested in the problem of improving the thermal characteristics of heat exchangers, including researchers, teachers and students of higher educational institutions in the field of heat-power engineering.
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Authors and Affiliations

Jiyenbeck Sugirov
1
Bibigul Atshybayeva
2
Marzhan Suimenova
1
Kulanda Shaikhiyeva
1
Gulbanu Yesbolay
1

  1. Department of Construction Engineering, Caspian University of Technology and Engineering named after Sh. Yessenov, Republic of Kazakhstan
  2. Department of Energy and Transport, Caspian University of Technology and Engineering named after Sh. Yessenov, Republic of Kazakhstan
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Abstract

The paper presents analytical relationships based on the theory of Green’s functions. The relationships refer to instantaneous and continuous as well as point and ring heat sources which are discussed. The relationship relating to continuous ring source is the basis for modelling and designing of spiral ground heat exchangers. Heat transfer in the infinite and semi-infinite body was considered. In the latter case, the image method was discussed. Using the results of measurements regarding heat transfer in the ground with a heat exchanger in the form of a single coil installed, a comparison of calculated ground temperatures with measured values was presented.

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Authors and Affiliations

Barbara Larwa
Krzysztof Kupiec
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Abstract

Knowledge of the temperature distribution in subsurface layers of the ground is important in the design, modelling and exploitation of ground heat exchangers. In this work a mathematical model of heat transfer in the ground is presented. The model is based on the solution of the equation of transient heat transfer in a semi-infinite medium. In the boundary condition on the surface of the ground radiation fluxes (short- and long-wave), convective heat flux and evaporative heat flux are taken into account. Based on the developed model, calculations were carried out to determine the impact of climatic conditions and the physical properties of the ground on the parameters of the Carslaw-Jeager equation. Example results of calculated yearly courses of the daily average temperature of the surface of the ground and the amount of particular heat fluxes on the ground surface are presented. The compatibility of ground temperature measurements at different depths with the results obtained from the Carslaw–Jaeger equation is evaluated. It was found that the temperature distribution in the ground and its variability in time can be calculated with good accuracy.

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Authors and Affiliations

Barbara Larwa
Krzysztof Kupiec
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Abstract

Heat consumption and steel loss for scale determine the costs of a heating process. The heating rate influences both. This paper evaluates the heating rate of a long charge made of three various materials, depending on the changes of the furnace atmosphere on the rotary furnace circumference. Numerical computing was performed based on a formulated heat transfer model in the rotary furnace chamber, while considering the growth of the scale layer. One heating curve was selected, which has allowed the heating time to be reduced by 36% while limiting the scale loss by 40%. It was also shown that the thermal stresses and strains should not lead to fractures of the charge heated.
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Authors and Affiliations

B. Hadała
1
ORCID: ORCID
M. Rywotycki
1
ORCID: ORCID
Z. Malinowski
1
ORCID: ORCID
Sz. Kajpust
2
S. Misiowiec
2

  1. AGH University of Science and Technology, Al. A. Mickiewicza 30, 30-059 Krakow, Poland
  2. Zarmen FPA Sp. z o.o., 39 Filarskiego Str., 47-330, Zdzieszowice, Poland
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Abstract

The inverse solution to the heat flux identification during the vertical plate cooling in air has been presented. The developed solution allowed to separate the energy absorbed by the chamber due to radiation from the convection heat losses to air. The uncertainty tests were carried out and the accuracy of the solution has been estimated at a level of 1%-5% depending on the boundary condition model. The inverse solution was obtained for the temperature measurements in the vertical plate. The stainless-steel plate was heated to 950°C and then cooled in the chamber in air only to about 30°C. The identified heat transfer coefficient was compared with the Churchill and Chu model. The solution has allowed to separate the radiation heat losses and to determine the Nusselt number values that stay in good agreement with the Churchill and Chu model for a nearly steady-state air flow for the plate temperature below 100°C.
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Authors and Affiliations

B. Hadała
1
ORCID: ORCID
Z. Malinowski
1
ORCID: ORCID
A. Gołdasz
2
ORCID: ORCID
A. Cebo-Rudnicka
1
ORCID: ORCID

  1. AGH University of Science and Technology, Faculty of Metals Engineering and Industrial Computer Science, Department of Heat Engineering and Environment Protection, al. Mickiewicza 30, 30-059 Kraków, Poland
  2. AGH University of Science and Technology, Faculty of Energy and Fuels, al. Mickiewicza 30, 30-059 Kraków, Poland
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Abstract

There are approximately 15 million users of system heat in Poland, but unfortunately nearly 70% of the fuel used in heat production is fossil fuel. Therefore, the CO2 emission reduction in the heat production industry is becoming one of the key challenges. City Heat Distribution Enterprise Ltd. in Nowy Sącz (Miejskie Przedsiębiorstwo Energetyki Cieplnej sp. z o.o.) has been conducting a self-financed research and development project entitled The use of algae as carbon dioxide absorbers at MPEC Nowy Sącz. The project deals with postcombustion CO2 capture using Chlorella vulgaris algae. As a result of tests conducted in a 1000 l hermetic container under optimal temperature and light conditions, the recovery of biomass can be performed in weekly cycles, yielding approximately 25 kilograms of biomass per year. Assuming that half of the dry mass of the algae is carbon, it can be said that 240 grams of carbon is bound in one cycle, which, converted to CO2, gives 880 grams of this gas. Our results showed that around 45.8 kilograms of CO2 per year was absorbed. Additionally, it is possible to use waste materials and by-products of technological processes as a nutrient medium for algae
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Authors and Affiliations

Paweł Kupczak
1
ORCID: ORCID
Sylwester Kulig
1
ORCID: ORCID

  1. Miejskie Przedsiębiorstwo Energetyki Cieplnej sp. z o.o. w Nowym Sączu, Poland
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Abstract

A new expression is proposed to calculate the earth-energy of an earth-air-pipe heat exchanger during winter heating for three kinds of soil in France. An analytical model is obtained by using numerical computation developed in Scilab – a free open source software. The authors showed the comparison between their simple analytical model and experimental results. They showed the influence of different parameters to specify the size of the heat exchanger.

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Authors and Affiliations

Vincent M.F. Molcrette
Vincent A.R. Autier

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