This paper discusses the capabilities of a two-fluid turbulence model for solving complex physical problems such as separated flow around a square cylinder and laminar-turbulent flow in a suddenly expanding channel. The numerical solution to the system of hydrodynamic equations is implemented using a finite-difference scheme. At each time step, the velocities are corrected through pressure calculations according to the SIMPLE algorithm. For verification purposes, the obtained numerical results are compared with available experimental data. A comparison of numerical results has shown that the two-fluid model is easy to implement, requires less computational resources and is capable of predicting laminar and turbulent flows with high accuracy.
{"title":"Numerical simulation of turbulent flows on the basis of a two-fluid model of turbulence","authors":"M. Madaliev","doi":"10.17223/19988621/82/10","DOIUrl":"https://doi.org/10.17223/19988621/82/10","url":null,"abstract":"This paper discusses the capabilities of a two-fluid turbulence model for solving complex physical problems such as separated flow around a square cylinder and laminar-turbulent flow in a suddenly expanding channel. The numerical solution to the system of hydrodynamic equations is implemented using a finite-difference scheme. At each time step, the velocities are corrected through pressure calculations according to the SIMPLE algorithm. For verification purposes, the obtained numerical results are compared with available experimental data. A comparison of numerical results has shown that the two-fluid model is easy to implement, requires less computational resources and is capable of predicting laminar and turbulent flows with high accuracy.","PeriodicalId":43729,"journal":{"name":"Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83644285","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
V. Efremov, O. Popova, D. Glazachev, A. Margonis, J. Oberst, A. Kartashova
An ablation model is used to describe the interaction of small meteoroids with the Earth’s atmosphere. In this model, the mass loss of a meteoroid is determined using the saturated vapor pressure of the assumed meteoroid substance. The meteoroid is considered in two modifications as a solid and a porous object. An automated method for estimating the parameters of meteoroids (mass, size, and density) from light curves is developed based on the model of small meteor body ablation, which has been used to estimate the parameters of the Perseid meteors with a brightness of -2m to +2m. The effect of the dependence for saturated vapor pressure and the residual on the parameters of the meteoric body is analyzed. It is shown that for the same meteor, the use of different dependences for pressure or different residuals leads to the dispersion of the meteor mass estimate of not more than 10-15% of the average value, and for the meteor size not more than 35-40%. The difference between the maximum and minimum density estimates can be up to five times. The selected dependence for the saturation vapor pressure strongly affects the shape of the light curve, the quality of its approximation, and the density estimate. The average porosity for all meteoroids is 86±5%, which is close to the values for IDP. The density of meteoroids is determined with a large error. The selected model better describes meteoroids with the degree of skewness of the light curve in the range of 0.4 - 0.5. The use of the porous body model has little effect on the mass estimate, while the density estimates increase by up to 2 times.
{"title":"Ablation of small meteor bodies: comparison of solid and porous body models","authors":"V. Efremov, O. Popova, D. Glazachev, A. Margonis, J. Oberst, A. Kartashova","doi":"10.17223/19988621/81/10","DOIUrl":"https://doi.org/10.17223/19988621/81/10","url":null,"abstract":"An ablation model is used to describe the interaction of small meteoroids with the Earth’s atmosphere. In this model, the mass loss of a meteoroid is determined using the saturated vapor pressure of the assumed meteoroid substance. The meteoroid is considered in two modifications as a solid and a porous object. An automated method for estimating the parameters of meteoroids (mass, size, and density) from light curves is developed based on the model of small meteor body ablation, which has been used to estimate the parameters of the Perseid meteors with a brightness of -2m to +2m. The effect of the dependence for saturated vapor pressure and the residual on the parameters of the meteoric body is analyzed. It is shown that for the same meteor, the use of different dependences for pressure or different residuals leads to the dispersion of the meteor mass estimate of not more than 10-15% of the average value, and for the meteor size not more than 35-40%. The difference between the maximum and minimum density estimates can be up to five times. The selected dependence for the saturation vapor pressure strongly affects the shape of the light curve, the quality of its approximation, and the density estimate. The average porosity for all meteoroids is 86±5%, which is close to the values for IDP. The density of meteoroids is determined with a large error. The selected model better describes meteoroids with the degree of skewness of the light curve in the range of 0.4 - 0.5. The use of the porous body model has little effect on the mass estimate, while the density estimates increase by up to 2 times.","PeriodicalId":43729,"journal":{"name":"Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88919449","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A formulation of the principle of least action is proposed as applied to the stationary motion of a non-viscous, non-heat-conducting, incompressible fluid in an axisymmetric channel of variable cross section. As a result of solving the variational problem corresponding to this principle, a connection was found between the components of the velocity vector, which made it possible to determine the shape of the channel in which the implementation of the principle of least action is ensured, and the flow parameters both in the channel itself and in the initial outflow region - the region that forms the flow in some conditional section of the entrance to the channel
{"title":"On the principle of least action in terms of incompressible fluid flow in a channel of variable cross-section","authors":"G. I. Afonin","doi":"10.17223/19988621/81/7","DOIUrl":"https://doi.org/10.17223/19988621/81/7","url":null,"abstract":"A formulation of the principle of least action is proposed as applied to the stationary motion of a non-viscous, non-heat-conducting, incompressible fluid in an axisymmetric channel of variable cross section. As a result of solving the variational problem corresponding to this principle, a connection was found between the components of the velocity vector, which made it possible to determine the shape of the channel in which the implementation of the principle of least action is ensured, and the flow parameters both in the channel itself and in the initial outflow region - the region that forms the flow in some conditional section of the entrance to the channel","PeriodicalId":43729,"journal":{"name":"Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86244367","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Localized eigenfunctions in the two-dimensional spectral problem containing a small parameter with higher derivatives are constructed on the expected solution form. Localization in this context means that the solution exponentially decays in both direc-tions starting from the "weakest" point or line. The constructions are based on the algo-rithm introduced by V.P. Maslov. A modification of this algorithm for the thin shell theory problems is given as an application. The paper shows implementation of the algorithm to obtain formulas giving eigenvalues and corresponding eigenfunctions. An example of solving a specific problem is given, illustrating stages of the applied asymptotic model.
{"title":"Localized eigenfunctions in the asymptotic model of the spectral problem","authors":"Evgeniya. A. Molchanova","doi":"10.17223/19988621/82/1","DOIUrl":"https://doi.org/10.17223/19988621/82/1","url":null,"abstract":"Localized eigenfunctions in the two-dimensional spectral problem containing a small parameter with higher derivatives are constructed on the expected solution form. Localization in this context means that the solution exponentially decays in both direc-tions starting from the \"weakest\" point or line. The constructions are based on the algo-rithm introduced by V.P. Maslov. A modification of this algorithm for the thin shell theory problems is given as an application. The paper shows implementation of the algorithm to obtain formulas giving eigenvalues and corresponding eigenfunctions. An example of solving a specific problem is given, illustrating stages of the applied asymptotic model.","PeriodicalId":43729,"journal":{"name":"Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79226449","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The structure of finite groups in which any strictly 2-maximal subgroup permutes with an arbitrary strictly 3-maximal subgroup is described. It is shown that the class of groups with this property coincides with the class of groups in which any 2-maximal subgroup permutes with an arbitrary 3-maximal subgroup, and, as a consequence, such groups are solvable. As auxiliary results, we describe the structure of groups in which any strictly 2-maximal subgroup permutes with an arbitrary maximal subgroup. In particular, it is shown that the class of such groups coincides with the class of groups in which any 2-maximal subgroup commutes with all maximal subgroups, and, as a consequence, such groups are supersoluble.
{"title":"Finite groups with permuted strongly generalized maximal subgroups","authors":"Yulia V. Gorbatova","doi":"10.17223/19988621/80/3","DOIUrl":"https://doi.org/10.17223/19988621/80/3","url":null,"abstract":"The structure of finite groups in which any strictly 2-maximal subgroup permutes with an arbitrary strictly 3-maximal subgroup is described. It is shown that the class of groups with this property coincides with the class of groups in which any 2-maximal subgroup permutes with an arbitrary 3-maximal subgroup, and, as a consequence, such groups are solvable. As auxiliary results, we describe the structure of groups in which any strictly 2-maximal subgroup permutes with an arbitrary maximal subgroup. In particular, it is shown that the class of such groups coincides with the class of groups in which any 2-maximal subgroup commutes with all maximal subgroups, and, as a consequence, such groups are supersoluble.","PeriodicalId":43729,"journal":{"name":"Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85585977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
V. Arkhipov, S. Basalaev, K. Kostyushin, K. G. Perfil′eva, A. Usanina
The results of the experimental and theoretical studies of the gas flow around a solid sphere under conditions of mass outflow from its surface are presented. A new experimental setup and a method for studying the flow around a solid sphere during the gas injection from its surface are proposed with the aim of improving the accuracy of determining the drag coefficient. In the range of the Reynolds number (Re = 133÷667), experimental results show that the drag coefficient decreases at the gas injection from the surface of the sphere. Moreover, the drag coefficient decreases with an increase in the density of the injected air flow at the fixed Reynolds number. Numerical simulation of a two-phase flow around a sphere with the gas injection from its surface is carried out for two calculation cases: with a uniform gas outflow from the surface of a porous sphere and with gas injection from perforated holes on the sphere surface. The numerical calculation results for the case of gas injection from the holes of the sphere are in quantitative and qualitative agreement with the experimental data.
{"title":"Experimental and theoretical studies of the flow around a sphere with account for gas injection from its surface","authors":"V. Arkhipov, S. Basalaev, K. Kostyushin, K. G. Perfil′eva, A. Usanina","doi":"10.17223/19988621/81/6","DOIUrl":"https://doi.org/10.17223/19988621/81/6","url":null,"abstract":"The results of the experimental and theoretical studies of the gas flow around a solid sphere under conditions of mass outflow from its surface are presented. A new experimental setup and a method for studying the flow around a solid sphere during the gas injection from its surface are proposed with the aim of improving the accuracy of determining the drag coefficient. In the range of the Reynolds number (Re = 133÷667), experimental results show that the drag coefficient decreases at the gas injection from the surface of the sphere. Moreover, the drag coefficient decreases with an increase in the density of the injected air flow at the fixed Reynolds number. Numerical simulation of a two-phase flow around a sphere with the gas injection from its surface is carried out for two calculation cases: with a uniform gas outflow from the surface of a porous sphere and with gas injection from perforated holes on the sphere surface. The numerical calculation results for the case of gas injection from the holes of the sphere are in quantitative and qualitative agreement with the experimental data.","PeriodicalId":43729,"journal":{"name":"Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80871986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S. Batuev, A. S. D’yachkovskiy, P. Radchenko, A. Radchenko, A. Sammel’, Andrey V. Chupashev
In this paper, the effect of the angle of impact and the angle of attack on the interaction between truncated coneshaped impactors made of BHZh-95 alloy and underwater barriers made of aluminum alloy is studied using experimental and computational methods. When such an impactor enters water, a supercavern appears around the impactor and minimizes the fluid friction. During the motion, the impactor afterbody periodically experiences impermanent contact with the walls of the supercavern, which maintains the steady motion. Note that the center of mass of the impactor is located closer to its afterbody, which can induce the angle of attack appearance during the motion. The experimental study is conducted using a hydroballistic track with high-speed video recording. The speed range of 250-350 m/s is considered. Mathematical modeling is carried out using the EFES original software package. It is revealed that a positive angle of attack β ≤ 10° leads to the normalization of the impactor and a decrease in the effective thickness of the barrier with its perforation. In contrast, at a negative angle of attack, the impactor rebounds from the barrier.
{"title":"Simulation of the interaction of conical impactors having an angle of attack with underwater barriers","authors":"S. Batuev, A. S. D’yachkovskiy, P. Radchenko, A. Radchenko, A. Sammel’, Andrey V. Chupashev","doi":"10.17223/19988621/80/4","DOIUrl":"https://doi.org/10.17223/19988621/80/4","url":null,"abstract":"In this paper, the effect of the angle of impact and the angle of attack on the interaction between truncated coneshaped impactors made of BHZh-95 alloy and underwater barriers made of aluminum alloy is studied using experimental and computational methods. When such an impactor enters water, a supercavern appears around the impactor and minimizes the fluid friction. During the motion, the impactor afterbody periodically experiences impermanent contact with the walls of the supercavern, which maintains the steady motion. Note that the center of mass of the impactor is located closer to its afterbody, which can induce the angle of attack appearance during the motion. The experimental study is conducted using a hydroballistic track with high-speed video recording. The speed range of 250-350 m/s is considered. Mathematical modeling is carried out using the EFES original software package. It is revealed that a positive angle of attack β ≤ 10° leads to the normalization of the impactor and a decrease in the effective thickness of the barrier with its perforation. In contrast, at a negative angle of attack, the impactor rebounds from the barrier.","PeriodicalId":43729,"journal":{"name":"Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81857550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper presents an experimental study of the deformation and energy absorption of fiber-reinforced concretes under compression at different strain rates. Static load tests are carried out using the Zwick-Roell Z100 universal testing machine at a strain rate of 30*10"6 s-1. Dynamic load tests are carried out in the range of strain rates 200-800 s-1 using the Kolsky method, which implies loading of the studied sample in a split Hopkinson pressure bar system. Specimens are made from a concrete mixture with the addition of wavy steel or polypropylene fibers with a volume fraction of 1.5 %. As a result of experiments and processing of the recorded strain pulses of measuring bars, the deformation diagrams and the corresponding diagrams of the specific energy absorption for the fiber-reinforced concretes under study are constructed. For all concretes being studied, the diagrams of deformation and energy absorption have similar trends and show an increase in the strength and energy before fracture initiation with an increase in the strain rate.
{"title":"Response of fine-grained fiber-reinforced concrete under different mechanical loading conditions","authors":"D. Lamzin, M. E. Gonov, A. Bragov, A. Lomunov","doi":"10.17223/19988621/81/9","DOIUrl":"https://doi.org/10.17223/19988621/81/9","url":null,"abstract":"This paper presents an experimental study of the deformation and energy absorption of fiber-reinforced concretes under compression at different strain rates. Static load tests are carried out using the Zwick-Roell Z100 universal testing machine at a strain rate of 30*10\"6 s-1. Dynamic load tests are carried out in the range of strain rates 200-800 s-1 using the Kolsky method, which implies loading of the studied sample in a split Hopkinson pressure bar system. Specimens are made from a concrete mixture with the addition of wavy steel or polypropylene fibers with a volume fraction of 1.5 %. As a result of experiments and processing of the recorded strain pulses of measuring bars, the deformation diagrams and the corresponding diagrams of the specific energy absorption for the fiber-reinforced concretes under study are constructed. For all concretes being studied, the diagrams of deformation and energy absorption have similar trends and show an increase in the strength and energy before fracture initiation with an increase in the strain rate.","PeriodicalId":43729,"journal":{"name":"Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90608708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper presents a three-dimensional mathematical model of self-propagating high-temperature synthesis (SHS) of a three-layer “sandwich” sample. The layers are formed from gasless mixtures with the addition of an inert fusible component. The mathematical model is studied numerically using the finite-difference method. The unsteady periodic regimes of gasless combustion of the three-layer sample with square cross-section are revealed with account for melting and thermocapillary flow of the melted inert component of the mixture. The unsteady periodic combustion regimes are specified depending on the relative calorific value of the mixture in the inner layer. High-temperature points move along the side faces of the sample. The velocity of the points’ motion along the combustion surface is much higher than the average burning velocity of the sample. An increase in the melt flow velocity leads to the equalization of the temperature field and stabilization of the combustion regime. The quasi-stationary regimes of control and fusion are studied during the combustion of the sample with an active inner layer, when the intrinsic burning velocities of the donor and acceptor mixtures are close to each other.
{"title":"Periodic combustion regimes for thermally coupled SHS systems with a thermocapillary melt flow","authors":"V. Prokof'ev","doi":"10.17223/19988621/80/10","DOIUrl":"https://doi.org/10.17223/19988621/80/10","url":null,"abstract":"This paper presents a three-dimensional mathematical model of self-propagating high-temperature synthesis (SHS) of a three-layer “sandwich” sample. The layers are formed from gasless mixtures with the addition of an inert fusible component. The mathematical model is studied numerically using the finite-difference method. The unsteady periodic regimes of gasless combustion of the three-layer sample with square cross-section are revealed with account for melting and thermocapillary flow of the melted inert component of the mixture. The unsteady periodic combustion regimes are specified depending on the relative calorific value of the mixture in the inner layer. High-temperature points move along the side faces of the sample. The velocity of the points’ motion along the combustion surface is much higher than the average burning velocity of the sample. An increase in the melt flow velocity leads to the equalization of the temperature field and stabilization of the combustion regime. The quasi-stationary regimes of control and fusion are studied during the combustion of the sample with an active inner layer, when the intrinsic burning velocities of the donor and acceptor mixtures are close to each other.","PeriodicalId":43729,"journal":{"name":"Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90637682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The mathematical model of combustion for a reactive gas suspension of coal dust in a propane-air mixture is developed. The parametric study of the problem is carried out. The observed burning velocity of the propane-air mixture with an admixture of coal particles is determined. Dependences of the observed burning velocity of the propane-air gas suspension on the equivalence ratio and on the radius of the particles are obtained. It is shown that, the observed burning velocity decreases with an increase in the radius of the particles. On the contrary, with an increase in the radius of the particle, the observed burning velocity increases for high-propane mixtures. Moreover, in the case of high-propane mixtures, the observed burning velocity of the gas suspension can be increased by reducing the mass of the particles. The observed burning velocity for a propane-air mixture with particles is significantly less than that for a mixture without particles.
{"title":"ОСОБЕННОСТИ РАСПРОСТРАНЕНИЯ ПЛАМЕНИ В УГЛЕ-ПРОПАНО-ВОЗДУШНОЙ ГАЗОВЗВЕСИ","authors":"А. К. Кантарбаева, Ксения Михайловна Моисеева","doi":"10.17223/19988621/74/10","DOIUrl":"https://doi.org/10.17223/19988621/74/10","url":null,"abstract":"The mathematical model of combustion for a reactive gas suspension of coal dust in a propane-air mixture is developed. The parametric study of the problem is carried out. The observed burning velocity of the propane-air mixture with an admixture of coal particles is determined. Dependences of the observed burning velocity of the propane-air gas suspension on the equivalence ratio and on the radius of the particles are obtained. It is shown that, the observed burning velocity decreases with an increase in the radius of the particles. On the contrary, with an increase in the radius of the particle, the observed burning velocity increases for high-propane mixtures. Moreover, in the case of high-propane mixtures, the observed burning velocity of the gas suspension can be increased by reducing the mass of the particles. The observed burning velocity for a propane-air mixture with particles is significantly less than that for a mixture without particles.","PeriodicalId":43729,"journal":{"name":"Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2022-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76337421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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