Physical Simulation of Hydraulic Characteristics of Channels with Spatial Lattice Structures
| Authors: Lopatin A.A., Gabdullina R.A., Sayetgarayev A.A., Biktagirova A.R.  | Published: 18.10.2025 |
| Published in issue: #4(121)/2025 | |
| DOI: | |
| Category: Physics | Chapter: Thermal Physics and Theoretical Heat Engineering | |
| Keywords: lattice structure, hydraulic resistance coefficient, hydraulic resistance, channel with a spatial lattice structure, viscous resistance coefficient, inertial resistance coefficient | |
Abstract
The purpose of the article is to experimentally determine the hydraulic characteristics and generalized empirical dependence of viscous and inertial drag coefficients for channels with spatial lattice structures. The relevance of the work is due to the need to develop efficient cooling and thermal stabilization systems for heat-loaded elements of power and electronic equipment that operate in conditions of high heat flows and require optimal hydraulic characteristics to ensure reliable operation. The results of physical modeling aimed at determining the hydraulic characteristics of channels with spatial lattice structures in the ranges of porosity 0.143--0.749 and Reynolds number 2700--150 000 are presented. Experimental data have shown that in the studied channels, with increasing porosity, the pressure loss of the working medium increases, which must be taken into account when designing such systems. Based on the empirical dependences obtained, the values of the viscous and inertial drag coefficients are determined, which are key parameters for modeling and predicting fluid flows in systems with porous structures. The results of the study allowed us to establish a range of changes in hydraulic characteristics with varying degrees of porosity. This will allow developers to create more efficient and reliable cooling and thermal stabilization systems, ensuring an optimal combination of hydraulic and heat exchange characteristics. Such systems are key for energy devices and electronic equipment, where high thermal loads and limited spaces require highly efficient heat removal solutions
Please cite this article in English as:
Lopatin A.A., Gabdullina R.A., Sayetgarayev A.A., et al. Physical simulation of hydraulic characteristics of channels with spatial lattice structures. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2025, no. 4 (121), pp. 96--112 (in Russ.). EDN: RPLILT
References
[1] Skripkin A.A. [A new type of radiator for cooling semiconductor and microelectronic vacuum devices]. Start v nauke. XVIII Mezhdunar. konkurs nauch.-issled. i tvorcheskikh rabot uchashchikhsya [Start in Science. XVIII Int. Sci. Research Competition and Creative Works of Students] (in Russ.). Available at: https://school-science.ru/18/11/53207?ysclid=mcubss1kup124810873
[2] Tupotilova A.V., Gareev E.I., Belyaev A.V., et al. Improving the heat exchanger efficiency at the phase transitions. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2024, no. 4 (115), pp. 63--76 (in Russ.). EDN: WYSOW
[3] Saghir M.Z., Kerme E.D., Hajialibabei M., et al. Study of the thermal and hydraulic performance of porous block versus gyroid structure: experimental and numerical approaches. Energies, 2024, vol. 17, iss. 4, art. 861. DOI: https://doi.org/10.3390/en17040861
[4] Rydalina N.V., Aksenov B.G., Stepanov O.A., et al. Application of porous materials in heat exchangers of heat supply system. Izvestiya vysshikh uchebnykh zavedeniy. Problemy energetiki [Power Engineering: Research, Equipment, Technology], 2020, vol. 22, no. 3, pp. 3--13 (in Russ.). DOI: https://doi.org/10.30724/1998-9903-2020-22-3-3-13
[5] Bragin D.M., Eremin A.V. Study of thermal properties of porous polymeric materials based on minimal surfaces of Schwarz. Inzhenernyy vestnik Dona [Engineering Journal of Don], 2023, no. 9, pp. 619--634 (in Russ.). EDN: CFTSYP
[6] Trigorlyy S.V. Simulation of thermal cooling modes of semiconductor microelectronic components. Voprosy elektrotekhnologii [Journal of Electrotechnics], 2022, no. 4, pp. 48--52 (in Russ.). EDN: SRQSUV
[7] Leary M., Mazur M., Williams H., et al. Inconel 625 lattice structures manufactured by selective laser melting (SLM): mechanical properties, deformation and failure modes. Mater. Des., 2018, vol. 157, pp. 179--199. DOI: https://doi.org/10.1016/j.matdes.2018.06.010
[8] Bajaj P., Hariharan A., Kini A., et al. Steels in additive manufacturing: a review of their microstructure and properties. Mater. Sci. Eng. A, 2020, vol. 772, art. 138633. DOI: https://doi.org/10.1016/j.msea.2019.138633
[9] Sarabhai S., Letov N., Kibsey M., et al. Understanding the flow and thermal characteristics of non-stochastic strut-based and surface-based lattice structures. Mater. Des., 2023, vol. 227, art. 111787. DOI: https://doi.org/10.1016/j.matdes.2023.111787
[10] Leontyev A.I., Pilyugin N.N., Polezhaev Yu.V., (eds). et al. Nauchnye osnovy tekhnologiy 21 veka [Scientific foundations of 21st century technologies]. Moscow, Energomash Publ., 2000.
[11] Liu X.C., Huang Y., Wang C.-H., et al. Solving steady and transient radiative transfer problems with strong inhomogeneity via a lattice Boltzmann method. Int. J. Heat Mass Tran., 2020, vol. 155, art. 119714. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2020.119714
[12] Hamidi E., Ganesan P., Muniandy S.V., et al. Lattice Boltzmann method simulation of flow and forced convective heat transfer on 3D micro X-ray tomography of metal foam heat sink. Int. J. Therm. Sci., 2022, vol. 172-A, art. 107240. DOI: https://doi.org/10.1016/j.ijthermalsci.2021.107240
[13] Mohamed E.Z., Zhao J., Li W.J., et al. Pore-scale convection-conduction heat transfer and fluid flow in open-cell metal foams: a three-dimensional multiple-relaxation time lattice Boltzmann (MRT-LBM) solution. Int. Commun. Heat Mass Transf., 2021, vol. 126, art. 105465. DOI: https://doi.org/10.1016/j.icheatmasstransfer.2021.105465
[14] Xiao Z., Yang Y., Xiao R., et al. Evaluation of topology-optimized lattice structures manufactured via selective laser melting. Mater. Des., 2018, vol. 143, pp. 27--37. DOI: https://doi.org/10.1016/j.matdes.2018.01.023
[15] Sing S.L., Wiria F.E., Yeong W.Y. Selective laser melting of lattice structures: a statistical approach to manufacturability and mechanical behavior. Robot. Comput. Integr. Manuf., 2018, vol. 49, pp. 170--180. DOI: https://doi.org/10.1016/j.rcim.2017.06.006
[16] Polyaev V.M., Mayorov V.A., Vasilyev L.L. Gidrodinamika i teploobmen v poristykh elementakh konstruktsiy letatelnykh apparatov [Hydrodynamics and heat transfer in porous elements of aircraft structures]. Moscow, Mashinostroenie Publ., 1988.
[17] Belov S.V. Poristye metally v mashinostroenii [Porous metals in mechanical engineering]. Moscow, Mashinostroenie Publ., 1981
[18] Solovyeva O.V., Solovyev S.A., Yafizov R.R., et al. Investigation of fluid flow in porous media of varios geometry. Nauchno-tekhnicheskiy vestnik Povolzhya [Scientific and Technical Volga Region Bulletin], 2020, no. 1, pp. 132--134 (in Russ.). EDN: HPZYFW
[19] Belov S.V. Viscosity and inertial coefficients of nozzles and porous metals made of spherical particles. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [BMSTU Journal of Mechanical Engineering], 1976, no. 10, pp. 87--90 (in Russ.).
[20] Karpovich E.V. Calculation of resistance coefficients of porous inserts for compressible environment. Agrotekhnika i energoobespechenie, 2014, no. 1, pp. 55--61 (in Russ.). EDN: TDWQOP
[21] Popov I.A. Intensifikatsiya teploobmena [Heat transfer intensification]. Kazan, Tsentr innovatsionnykh tekhnologiy Publ., 2007.
[22] Basharina T.A., Levina A.V. Investigation of hydrodynamic processes in cooling systems of liquid-propellant rocket engines with additive porous structures. Trudy MAI, 2024, no. 136 (in Russ.). EDN: CJPRPS
[23] Burkov A.S., Rytsarev A.M., Tovstonog V.A., et al. Experimental evaluation of thermophysical characteristics of high-temperature thermal insulation materials. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2020, no. 2 (89), pp. 99--116 (in Russ.). DOI: http://dx.doi.org/10.18698/1812-3368-2020-2-99-116
[24] Bejan A. Convection heat transfer. Wiley, 2013.
[25] Sharfarets B.P., Kurochkin V.E. To the question of mobility of particles and molecules in porous media. Nauchnoe priborostroenie [Scientific Instrumentation], 2015, vol. 25, no. 4, pp. 43--55 (in Russ.). EDN: UXLFPP
[26] Tolpaev V.A., Akhmedov K.S., Gogoleva S.A. Nonlinear filtration laws of one-component fluids at high flow rates. Izvestiya vuzov. Neft i gaz [Oil and Gas Studies], 2015, no. 5, pp. 83--89 (in Russ.). DOI: https://doi.org/10.31660/0445-0108-2015-5-83-89
[27] Pelevin F.V. Hydraulic resistance of porous metals. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [BMSTU Journal of Mechanical Engineering], 2016, no. 2, pp. 42--52 (in Russ.). EDN: VKQDNL
[28] Demidova A.M., Abramov A.A., Tarasova N.P., et al. Hydraulic resistance of porous metals. Nauchno-tekhnicheskiy vestnik Povolzhya [Scientific and Technical Volga Region Bulletin], 2022, no. 12, pp. 104--107 (in Russ.). EDN: DHVZMH
[29] Deeb R., Sidenkov D.V. Numerical investigation of thermal-hydraulic performance of circular and non-circular tubes in cross-flow. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2021, no. 2 (95), pp. 102--117 (in Russ.). DOI: http://dx.doi.org/10.18698/1812-3368-2021-2-102-117
