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Project titleDevelopment of new models of porous heat exchangers with increased energy efficiency based on numerical simulation and experimental study

AffiliationFederal state budgetary educational institution of higher education "KAZAN STATE POWER ENGINEERING UNIVERSITY",

Research area 09 - ENGINEERING SCIENCES, 09-201 - Heat and mass exchange processes

Keywordsheat transfer, numerical modeling, highly porous cellular material, CFD, DNS, DEM, experiment, convection, thermal conductivity, pulsations, metal foam

Annotation
The project is aimed at studying heat exchange processes in porous materials of various physical nature and geometry, creating new models of heat exchangers with increased energy efficiency and reduced hydraulic resistance to flow. The relevance of the project is due to the need to create models of highly efficient import-substituting heat exchangers. Most of the power plants used in production and in the heating system of cities in Russia today are physically and morally obsolete. The energy intensity of the gross domestic product in our country is three times higher than the energy intensity of the advanced countries. Large-scale energy-efficient heat exchangers of foreign companies are not on sale and enter the market only after obsolescence, this fact is intended to prevent the sharp development of third-party states. A similar phenomenon is observed in mechanical engineering, aviation, space (the use of thermal insulation), the automotive industry (the use of radiators), in the production of microelectronics (the use of heat exchange intensifiers for cooling microcircuits). The peculiarities of the climate in the north of Russia and the central region dictate increased requirements for thermal insulation, and the scale of the country for increased energy savings when using thermal installations. The scientific novelty of the project lies in the development of theoretical foundations for the study of heat exchange processes in porous materials on the basis of numerical modeling and experimental studies on a microscale, generalization of the research results obtained, and the conclusion of recommendations for manufacturers of heat exchangers. Particular attention will be paid to ways to improve the energy efficiency of heat exchangers and to solve energy-saving problems when using thermal insulation.

Expected results
1. Based on experimental studies of one-sided heat transfer and hydraulic resistance in porous structures with a random arrangement of pores in space at a stationary flow of air and water flow; the following results were obtained: - the relationship of flow regimes with heat transfer and hydraulic resistance of porous media with the Reynolds number in air and water flows has been established; - graphical dependences of the intensity of heat transfer and hydraulic resistance on the Reynolds number in air and water flows were obtained; - the relationship of flow regimes with heat transfer and hydraulic resistance in porous media with porosity and diameter of cells in air and water flows has been established; - graphical dependences of the intensity of heat transfer and hydraulic resistance on the porosity and diameter of the cells in air and water flows were obtained; - the modes with the maximum thermohydraulic efficiency at a stationary flow of air and water flow have been determined; - graphical dependences of the intensity of heat exchange and hydraulic resistance on the Prandtl number Pr in water flows were obtained; - received criterion equations for heat transfer and hydraulic resistance. 2. Based on experimental studies of one-sided heat transfer in porous structures with a random arrangement of pores in space with a pulsating flow of air and water flow, the following results were obtained: - the relationship of flow regimes with heat transfer of porous media with the Reynolds number in air and water flows has been established; - graphical dependences of heat transfer intensity on the Reynolds number in air and water flows were obtained; - the interrelation of flow regimes in porous media with porosity and diameter of cells in air and water flows has been established; - graphical dependences of heat transfer intensity on porosity and diameter of cells in air and water flows were obtained; - graphical dependences of the heat transfer intensity on the Prandtl number Pr in water flows were obtained; - graphical dependences of the intensity of heat exchange on the frequency of pulsations in air flows of water were obtained; - graphical dependences of the intensity of heat exchange on the amplitude of pulsations in air flows of water were obtained; - graphical dependences of the intensity of heat exchange on the duty cycle of pulsations in air flows of water were obtained; - obtained generalizing dependencies for predicting heat transfer with superimposed pulsations of the air and water flow. 3. Adjusted mathematical model with constructed computational domains for theoretical studies of heat transfer and hydrodynamics in porous media under stationary and pulsating flow conditions. 4. Experimental data were obtained on the effective thermal conductivity of porous structures for a one-dimensional heat flux in a flat sample: - certain values of the effective thermal conductivity of porous structures, depending on its porosity and the cells' diameter. - certain values of the effective thermal conductivity of porous structures depending on its temperature. - plotted graphical dependences of the effective thermal conductivity of porous structures on its porosity and the diameter of the cells - plotted graphical dependences of the effective thermal conductivity of porous structures on its temperature. 5. Experimental data have been obtained on the effective thermal conductivity of porous structures for a two-dimensional heat flow in a cylindrical sample with a non-uniform porosity: - certain values of the effective thermal conductivity of porous structures, depending on its porosity and the cells' diameter. - certain values of the effective thermal conductivity of porous structures depending on its temperature. - plotted graphical dependences of the effective thermal conductivity of porous structures on its porosity and the diameter of the cells - plotted graphical dependences of the effective thermal conductivity of porous structures on its temperature. 6. A verified mathematical model based on the DNS method for detailed theoretical studies of heat transfer and hydrodynamics in porous media with a random arrangement of pores for a stationary and pulsating flow of air and water flows. 7. Based on the theoretical studies using the DNS, the following results were obtained: Information was obtained on distributing the local heat transfer coefficient in porous media for stationary air and water flows at various operating and geometric parameters. - information was obtained on the vector fields of velocities and the flow structure in porous media for stationary flows of air and water at the various regime and geometric parameters. - information was obtained on the velocity profiles in porous media for stationary air and water flows at the various regime and geometric parameters. - information was obtained on the turbulence of the flow in porous media for stationary flows of air and water at the various regime and geometric parameters Information was obtained on the local heat transfer coefficient's distribution and dynamics in porous media with superimposed pulsations of the air and water flow at various operating and geometric parameters. - information was obtained on the dynamics of the vector fields of velocities and the flow structure in porous media with superimposed flow pulsations at the various regime and geometric parameters. - information was obtained on the instantaneous and averaged velocity profiles in porous media with superimposed pulsations of the air and water flow at the various regime and geometric parameters. - obtaining information about the dynamics of flow turbulence in porous media with superimposed pulsations of air and water flow at various operating and geometric parameters. 8. Verified RANS turbulence models for predicting the integral characteristics of heat transfer and hydraulic resistance in porous media under conditions of stationary and pulsating air and water flows. 9. Based on the carried out multiparameter studies using RANS turbulence models, the following results were obtained: - the obtained graphical dependences of heat transfer and hydraulic resistance in a wide range of Reynolds numbers (the range must be specified) for a stationary flow of water and air flows; - the obtained graphical dependences of heat transfer and hydraulic resistance in the range of the Prandtl number (0.7-10) for a stationary flow of water flows; - the obtained graphical dependences of heat transfer and hydraulic resistance in the range of porosity (0.6-0.9) and pore diameter (0.2-0.6 mm) for a stationary flow of water and air flows; - the obtained graphical dependences of heat transfer and hydraulic resistance in a wide range of the Reynolds number (the range must be specified) for the pulsating flow of air and water flows; - the obtained graphical dependences of heat transfer and hydraulic resistance in the range of Prandtl number (0.7-10) for the pulsating flow of water flows; - the obtained graphical dependences of heat transfer and hydraulic resistance in the range of porosity (0.6-0.9) and pore diameter (0.2-0.6 mm) for the pulsating flow of water and air flows; - the obtained graphical dependences of heat transfer and hydraulic resistance in the range of pulsation purity (0.1-1) Hz. - the obtained graphical dependences of heat transfer and hydraulic resistance in the range of the relative amplitude of pulsations (1-10); The obtained graphical dependences of heat transfer and hydraulic resistance in the pulsation duty cycle range (0.1-0.7). 10. Generalized data of multiparameter numerical studies. The established relationships of operating and geometric parameters with the characteristics of heat transfer and hydraulic resistance. The found modes with the maximum intensification of heat transfer. Determination of modes with maximum thermohydraulic efficiency. 11. The fundamental knowledge and mechanisms of heat transfer in porous media with a random arrangement of pores in space at a stationary air and water flow have been expanded. 12. The determining factors of heat transfer in porous media with a random arrangement of pores in space with superimposed pulsations of air and water flows have been established. 13. Methods for calculating and selecting effective modes of intensification of heat exchange equipment with porous media in conditions of stationary and pulsating air and water flows have been developed. 14. Methodological foundations for calculating energy-efficient heat exchangers with porous media based on the combined method of heat transfer intensification have been developed. These results will contribute to understanding the processes of hydrodynamics and heat transfer at the micro-level. The written programs for constructing porous media can form the basis for creating modern porous heat exchangers and heat-insulating materials with high energy efficiency and energy saving. The proposed new models of porous heat exchangers and thermal insulation can contribute to the replacement of existing low-efficient heat exchangers, which corresponds to import substitution and energy saving in our country.

Annotation of the results obtained in 2021
1. Implemented programs for creating various models of porous media (in Python): a. Programs with BCC and FCC algorithms for creating a model of highly porous cellular materials; b. Programs for the creation of fibrous porous materials (based on the use of the DEM method); с. Programs for the creation of metal rubber (based on the use of the DEM method); d. Programs for creating a granular porous sintered material (based on the use of the DEM method). 2. An application for obtaining a certificate for a computer program has been sent (application EA-66291 dated 05/11/2022). 3. Additionally, scripts were written for the ANSYS software package (v. 19.2), the Design Modeller module for constructing various geometries of porous media. 4. A set of models of porous media of various geometries has been created for a series of parametric numerical calculations (fibrous heat exchangers, sintered granular materials, simple lattices and lattices with crosshairs, highly porous cellular materials with ordered geometry (SC, FCC, BCC, based on the Kelvin cell, based on Voronoi tiling) and disordered geometry (DEM)). This set of computer models has also been converted to .STL format to obtain full-scale models by printing on a 3D printer. 5. The results of numerical simulation of thermal conductivity for the problem of using porous media as a heat-insulating material are obtained: a. The problem of determining the influence of the geometry of a porous material on the thermal insulation properties is solved. b. The problem of determining the influence of medium porosity, cell size, fiber (baffle) thickness on thermal insulation properties is solved. 6. The results of numerical calculations are verified with experimental data for various thermophysical parameters. For air: 7. The results of numerical simulation of convective heat transfer (forced convection) in various models of porous media with air flow were obtained: a. The results of parametric calculations of the influence of the cell (pore) diameter on the heat transfer intensity at a fixed medium porosity are obtained. b. The results of parametric calculations of the effect of medium porosity on convective heat transfer are obtained. с. The results of parametric calculations of the influence of the porous medium material on the intensity of heat transfer are obtained. d. The results of parametric calculations of the effect of free flow velocity on convective heat transfer are obtained. e. The results of parametric calculations of the effect of symmetric flow pulsations on heat transfer are obtained. f. The results of parametric calculations of the effect of asymmetric flow pulsations on heat transfer have been obtained. 8. Data obtained from experimental studies of convective heat transfer (forced convection) in various models of porous media with air flow around: a. The results of experimental studies of the influence of the cell (pore) diameter on the heat transfer intensity at a fixed medium porosity are obtained. b. The results of experimental studies of the effect of medium porosity on convective heat transfer are obtained. c. The results of experimental studies of the influence of the porous medium material on the intensity of heat transfer are obtained. d. The results of experimental studies of the effect of free flow velocity on convective heat transfer have been obtained. e. The results of experimental studies of the effect of symmetric flow pulsations on heat transfer have been obtained. f. The results of experimental studies of the influence of asymmetric flow pulsations on heat transfer have been obtained. For water: 9. The results of numerical simulation of convective heat transfer (forced convection) in various models of porous media in a water flow are obtained: a. The data of parametric calculations of the influence of the cell (pore) diameter on the intensity of heat transfer at a fixed medium porosity are obtained. b. The data of parametric calculations of the effect of medium porosity on convective heat transfer are obtained. c. The data of parametric calculations of the influence of the material of the porous medium on the intensity of heat transfer are obtained. d. The data of parametric calculations of the effect of free flow velocity on convective heat transfer have been obtained. e. The data of parametric calculations of the effect of symmetric flow pulsations on heat transfer have been obtained. f. The data of parametric calculations of the effect of asymmetric flow pulsations on heat transfer have been obtained. 10. The results of an experimental study of convective heat transfer (forced convection) in various models of porous media in a water flow are obtained: a. The results of an experimental study of the influence of the cell (pore) diameter on the heat transfer intensity at a fixed medium porosity are obtained. b. The results of an experimental study of the effect of medium porosity on convective heat transfer are obtained. c. The results of an experimental study of the influence of the material of a porous medium on the intensity of heat transfer are obtained. d. The results of an experimental study of the effect of free flow velocity on convective heat transfer have been obtained. e. The results of an experimental study of the effect of symmetric flow pulsations on heat transfer have been obtained. f. The results of an experimental study of the effect of asymmetric flow pulsations on heat transfer have been obtained. 11. Expressions for heat transfer (Nusselt numbers) are derived indicating the range of change in the Reynolds number, porosity of the medium, Prandtl number, thermal conductivity coefficients of the material and air (water), geometric parameters of the test sample (length, width, height, shape and diameter of cells, thickness of partitions ) for: a. inserts made of open cell foam material; b. layers of open cell foam material; c. discrete arrangement of open cell foam materials; d. inserts made of ordered porous material; e. metal rubber; f. granular porous sintered material. 12. The values of the optimal energy efficiency coefficients. 13. The results of comparison of different variants of porous heat exchangers with each other and comparison with smooth heat exchangers are obtained. 14. Recommendations for manufacturers of heat exchangers and thermal insulation have been created. 15. 5 articles of the Scopus/WoS list, 4 articles of the VAK list, 3 RSCI materials were published. 16. Project participants made presentations at international conferences on the subject of the project. 17. Created 4 experimental installations: a. to determine the effective thermal conductivity of thermal insulation materials (measurements were made of the thermal conductivity of open cell polyurethane foams with different types and sizes of cells); b. to determine the heat transfer of porous heat exchangers of various geometries (metal rubber, sintered material, open cell foam nickel-plated, aluminum, copper heat exchange elements) in a stationary mode; c. to determine the value of the pressure drop in porous media of various geometries (mainly using models with controlled geometric parameters (shape and thickness of fibers / partitions, cell size, porosity) printed on a photopolymer 3D printer with a print resolution of 10 µm); d. to determine the heat transfer of porous media in the presence of flow pulsations. 18. 3 utility model patents were obtained: "Heat exchanger with elements in the form of springs", "Granular filter with perforated granules for gas purification", "Transversely streamlined tube bundle, representing a trefoil in section, for heat exchangers", 1 application for a utility model was sent : "Heat exchanger with elements in the form of springs arranged in a structured 90° angle."

Publications

1. A R Hayrullin, I F Habibullina, A I Haibullina and V K Ilyin Experimental study pipe insulation heat losses with moisture ingress IOP Conference Series: Earth and Environmental Science, - (year - 2022)

2. E Yu Balzamova, D S Balzamov, V V Bronskaya, Ch B Minnegalieva, L E Khairullina, G Z Khabibullina, T V Ignashina and O S Kharitonova Analysis of the issue of the selection, operation and improvement of thermal insulation materials for pipelines of heating networks Journal of Physics: Conference Series, 2094, p. 052028 (year - 2021) https://doi.org/10.1088/1742-6596/2094/5/052028

3. Khaibullina A.I., Khairullin A.R., Ilyin V.K., Sinyavin A.A., Balzamov D.S. Выбор модели турбулентности для моделирования теплообмена в пучках труб Научно-технический Вестник Поволжья, № 11, с. 91-94 (year - 2021)

4. Khairullin A.R., Khaibullina A.I., Sinyavin A.A. Теплогидравлическая эффективность пористых сред в потоке воздуха и воды при симметричных и несимметричных пульсациях Инженерный вестник Дона, № 4 (year - 2022)

5. Khairullin A.R., Sinyavin A.A., Khaibullina A.I., Ilyin V.K. Конструирование вспененных пористых теплоизоляционных материалов методом диаграммы Вороного Инженерный вестник Дона, № 4 (year - 2022)

6. Olga Soloveva, Sergei Solovev, Vladimir Ilyin, Azalia Talipova, Tansylu Sagdieva Study of the influence of porous structure on the efficiency of emulsion separation in wastewater purification on transport Transportation Research Procedia, - (year - 2022) https://doi.org/10.1016/j.trpro.2022.01.066

7. S.A. Solovev, O.V. Soloveva, I.G. Akhmetova, Yu.V. Vankov, D.L. Paluku Numerical Simulation of Heat and Mass Transfer in an Open-Cell Foam Catalyst on Example of the Acetylene Hydrogenation Reaction ChemEngineering, V. 6(1), № 11, pp.1-22 (year - 2022) https://doi.org/10.3390/chemengineering6010011

8. Soloveva O.V., Solovev S.A., Talipova A.R., Shakurova R.Z., Gilyazov A.I. Исследование влияния пористости волокнистого материала на значение энергетической эффективности Вестник Казанского государственного энергетического университета, T. 14, № 1 (53), С. 56-64 (year - 2022)

9. А R Hayrullin, A I Haibullina, V K Ilyin RANS numerical simulation in in-line tube bundle: prediction of heat transfer IOP Conference Series: Earth and Environmental Science, - (year - 2022)

10. Khaibullina A.I., Khairullin A.R., Kaibysheva R.R. Исследование методов моделирования турбулентных потоков ЭНЕРГЕТИКА И ЭНЕРГОСБЕРЕЖЕНИЕ: ТЕОРИЯ И ПРАКТИКА, 149, C. 1-5 (year - 2021)

11. Sabirova Yu.F., Soloveva O.V. Определение оптимальной ширины пористой вставки сепарационного устройства для разделения водо-нефтяной эмульсии XXV ВСЕРОССИЙСКИЙ АСПИРАНТСКО-МАГИСТЕРСКИЙ НАУЧНЫЙ СЕМИНАР, ПОСВЯЩЕННЫЙ ДНЮ ЭНЕРГЕТИКА, Т. 2, С. 229-232 (year - 2022)

12. Talipova A.R., Solovieva O.V. Исследование моделей высокопористых ячеистых сред различной пористости XXV ВСЕРОССИЙСКИЙ АСПИРАНТСКО-МАГИСТЕРСКИЙ НАУЧНЫЙ СЕМИНАР, ПОСВЯЩЕННЫЙ ДНЮ ЭНЕРГЕТИКА, Т. 2, С. 237-239 (year - 2022)

13. Soloveva O.V., Solovev S.A., Talipova A.R., Golubev Ya.P., Shakurova R.Z. Теплообменник с элементами в форме пружин ФЕДЕРАЛЬНАЯ СЛУЖБА ПО ИНТЕЛЛЕКТУАЛЬНОЙ СОБСТВЕННОСТИ, RU 209655 U1 (year - 2022)

14. - Поперечно обтекаемый пучок из труб, представляюбщих в сечении трилистник, для теплообменников -, RU 209000 U1 (year - )

15. - Гранулированный фильтр с перфорированными гранулами для очистки газа -, RU 210 049 U1 (year - )

16. - Программа для определения центров ячеек высокопористого ячеистого материала для модели гране-центрированной кубической упаковки -, ЕА-66291 (year - )

17. - Теплообменник в форме пружин, расположенными структурировано под углом 90о -, № 2022108871 (year - )

18. - В КГЭУ РАЗРАБАТЫВАЮТ ИННОВАЦИОННЫЕ МАТЕРИАЛЫ, СПОСОБНЫЕ СНИЗИТЬ ЭНЕРГОЕМКОСТЬ ВВП СТРАНЫ Сайт Казанского государственного энергетического университета, - (year - )

Annotation of the results obtained in 2022
The problem of creating an optimal heat exchanger model (when using a heat exchanger as a recuperator) was solved, approximate dependences for heat transfer were derived, and recommendations for manufacturers were made. 1. Algorithms for constructing an ordered structure of porous materials (for recuperators) in the Python language were implimented: A. with channels of various shapes (round, square, triangular); b. with honeycomb structure; V. with a ring structure. 2. Certificates for computer programs were registered; 3. The written codes were adapted to the ANSYS software package (v. 19.2), Design Modeller module. 4. Numerical simulation of heat transfer in models of porous recuperators was carried out: A. The results of parametric calculations of the influence of medium porosity on the intensity of heat transfer were obtained. b. The results of parametric calculations of the influence of the porous medium material on the intensity of heat transfer (ceramics, composite, etc.) were obtained. V. The results of parametric calculations of the effect of free flow velocity on heat transfer were obtained. d. The results of parametric calculations of the effect of symmetrical flow pulsations on heat transfer were obtained. e. The results of parametric calculations of the effect of asymmetric flow pulsations on heat transfer were obtained. 5. Experimental studies of heat transfer in porous heat exchangers were carried out: A. The results of studying the effect of medium porosity on heat transfer were obtained. b. The results of studying the influence of the porous medium material on the intensity of heat transfer (ceramics, composite, etc.) were obtained. V. The results of studying the effect of free flow velocity on heat transfer were obtained. d. The results of studying of the effect of symmetric flow pulsations on heat transfer were obtained. e. The results of studying the effect of asymmetric flow pulsations on heat transfer were obtained. 6. Expressions for heat transfer (Nusselt number) were obtained with indication of the range of change in the Reynolds number, porosity of the medium, thermal conductivity coefficients of the material and air, geometric parameters of the test sample (length, width, height, shape and diameter of cells, thickness of partitions). 7. The optimal values of the energy coefficient of M.V. Kirpichev were obtained. 8. Comparison of various variants of porous recuperators with each other was carried out. 9. Recommendations for manufacturers of porous recuperators were made. 10. The problem of determining the thermophysical properties through numerical simulation was solved: A. Porous blocks with closed cells (foam concrete). b. Porous blocks with open cells (foam glass). V. Fibrous blocks (concrete block with hemp bonfire). 11. The problem of determining the thermophysical properties through experimental research was solved: A. Porous blocks with closed cells (foam concrete). b. Porous blocks with open cells (foam glass). V. Fibrous blocks (concrete block with hemp bonfire). 12. Recommendations were made for manufacturers of foam concrete, foam glass, composite concrete. 13. Oral reports were presented at scientific conferences on the subject of the project. 14. Papers were published in peer-reviewed scientific journals.

Publications

1. A.R. Hayrullin, A.I. Haibullina, A.M. Gusyachkin Thermal Conductivity of Insulation Material: Effect of Moisture Content and Wet-Drying Cycle Materials Science Forum, 2373 (2022) 022040 (year - 2023)

2. Efim Burlutsky, Denis Balzamov, Veronika Bronskaya, Dmitriy Bashkirov, Olga Kharitonova, Liliya Khairullina, Olga Solovyeva Influence of Temperature on the Thermal Properties of the Core Material - the Coefficient of Temperature Conductivity, Specific Heat Capacity, and Thermal Conductivity International Journal of Technology, Том 14, №2, С. 443-454 (year - 2023) https://doi.org/10.14716/ijtech.v14i2.6009

3. Haibullina A.I., Khairullin A.R. Влияние порозности пористой среды на интенсификацию теплообмена VII Международная научно-практическая конференция «ЭНЕРГЕТИКА И ЭНЕРГОСБЕРЕЖЕНИЕ: ТЕОРИЯ И ПРАКТИКА», г. Кемерово, с. 176-1-176-6. (year - 2022)

4. Hayrullin A.R., Haibullina A.I., Ilyin V.K. Numerical heat transfer in porous media heat exchangers of transport vehicles under unsteady flow Transportation Research Procedia, 2022, 63, pp. 1259-1265 (year - 2022) https://doi.org/10.1016/j.trpro.2022.06.133

5. Hayrullin A.R., Haibullina A.I., Sinyavin A.A. Insulation thermal conductivity heating networks during transportation thermal energy underdry and moisturizing condition: a comparative study of the guarded hot plate and guarded hot pipe method Transportation Research Procedia, 2022, 63, pp. 1074–1080 (year - 2022) https://doi.org/10.1016/j.trpro.2022.06.109

6. Hayrullin A.R., Haibullina A.I., Sinyavin A.A. Heat transport phenomena in Voronoi foam due to pulsating flow Transportation Research Procedia, 2022, 63, pp. 1236-1243 (year - 2022) https://doi.org/10.1016/j.trpro.2022.06.130

7. Khaibullina A.I., Khairullin A.R., Ilyin V.K., Sinyavin A.A. Теплообмен и гидравлическое сопротивление пористых сред сгенерированных методом диаграммы Вороного Научно-технический Вестник Поволжья, № 5, 2022, с. 61-64 (year - 2022)

8. Khairullin A.R., Haibullina A.I. Теплогидравлическая эффективность высокопористых пен с открытыми ячейками Научно-технический вестник Поволжья, №4, стр. 48-51 (year - 2023)

9. Khairullin A.R., Haibullina A.I. Теплозащитные свойства теплоизоляционных материалов в условиях циклов намокание-сушка Инженерный вестник Дона, №5, 2023 (year - 2023)

10. Khairullin A.R., Haibullina A.I., Sinyavin A.A., Balzamov D.S., Ilyin V.K., Khairullina L., Bronskaya V. Heat Transfer in 3D Laguerre-Voronoi Open-Cell Foams under Pulsating Flow Energies, 2022, 15(22), 8660 (year - 2022) https://doi.org/10.3390/en15228660

11. Solovev S.A., Soloveva O.V., Talipova A.R., Belousova L.A., Sabirova J.F. Study of the influence of the porosity of the fibrous material used in transport on the value of energy efficiency Transportation Research Procedia, 2022, 63, pp. 1252-1258 (year - 2022) https://doi.org/10.1016/j.trpro.2022.06.132

12. Soloveva O.V., Solovev S.A., Shakurova R.Z. Обзор современных керамических ячеистых материалов и композитов, применяемых в теплотехнике Известия высших учебных заведений. Проблемы энергетики, Том 25, № 1 (2023) (year - 2023)

13. Soloveva O.V., Solovev S.A., Talipova A.R., Sagdieva T., Golubev Ya.P. Study of heat transfer in a heat exchanger with porous granules for use in transport Transportation Research Procedia, 2022, 63, pp. 1205-1210 (year - 2022) https://doi.org/10.1016/j.trpro.2022.06.126

14. Soloveva O.V., Solovev S.A., Talipova A.R., Shakurova R.Z., Paluku D.L. Study of heat transfer in models of FCC, BCC, SC and DEM porous structures with different porosities Journal of Physics: Conference Series, Т. 2373. №. 2. С. 022040. (year - 2022)

15. Soloveva O.V., Solovev S.A., Talipova A.R., Shakurova R.Z., Sabirova J.F. Study of the heat transfer efficiency of spring elements for use in transport Transportation Research Procedia, 2022, 63, pp. 1007-1014 (year - 2022) https://doi.org/10.1016/j.trpro.2022.06.100

16. Soloveva O.V., Solovev S.A., Talipova A.R., Shakurova R.Z., Zakirov F. Estimation of energy efficiency factor for models of porous automotive heat exchangers Transportation Research Procedia, 2022, 63, pp. 1081-1088 (year - 2022) https://doi.org/10.1016/j.trpro.2022.06.110

17. Soloveva O.V., Solovev S.A., Vankov Yu.V., Akhmetova I.G., Shakurova R.Z., Talipova A.R. Исследование влияния геометрии высокопористого ячеистого материала на значение энергетической эффективности Известия вузов. Проблемы энергетики, том 24, № 3, cc. 55-69 (year - 2022) https://doi.org/10.30724/1998-9903-2022-24-3-55-65

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