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Journal of Applied Mechanics and Technical Physics

2024 year, number 3

1.
Specific Features of Flame Formation in a Collision of Two Hydrogen Jets

A. S. Tambovtsev, V. V. Kozlov, Yu. A. Litvinenko, M. V. Litvinenko, A. G. Shmakov
Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: diffusion combustion of hydrogen, interaction of microjets, micronozzle

Abstract >>
Results of studying interaction of two colliding axisymmetric laminar microjets of hydrogen in the course of their diffusion combustion are reported. Gas exhaustion occurs with identical velocities through pairs of micronozzles, which are thin-walled cylindrical tubes with an inner diameter of 200   m. The transverse positions of the tubes with respect to each other are changed during the experiment. Specific features of flame formation from two interacting microjets are found for different transverse positions of the tubes, and the results are compared with flames of single microjets with the same exhaustion velocity.



2.
Numerical Investigation on Characteristics of the Shock Wave Generated by an Annular Nested Charge

Li Junbao, Li Weibing, Wang Xiaoming
ZNDY of Ministerial Key Laboratory, Nanjing University of Science and Technology, Nanjing, China
Keywords: shock wave, composite charge, peak overpressure, impulse, test verification

Abstract >>
This study is aimed at understanding some characteristics of the shock wave generated by a novel composite charge consisting of an inner high explosive, a medium non-detonating layer, and an outer aluminized explosive. The influence of the shell restraints and initiation modes on the peak overpressure and impulse of the charge is investigated. Numerical models are developed based on the mapping function of AUTODYN for determining the spatial distribution of the shock wave overpressure. By means of validation experiments, the accuracy of the developed model is verified. It is found that the peak overpressure and impulse obtained from experiments and simulations are in good agreement, with a deviation of less than 16.9%. The difference in the overpressures at various azimuths decreases with increasing distance, and the shock wave profile eventually evolves into a spherical shape. The radial overpressure of the shelled composite charge is initially greater than that in the axial direction and decays rapidly with increasing distance. The azimuth corresponding to the maximum peak overpressure is shifted from 75oC for the bare charge to 110 °C for the shelled charge. It is found that the energy utilization of the composite charge under inner initiation is apparently smaller than that under simultaneous initiation.



3.
Waves at the Interface with Countercurrent Flow of a Thin Film of Liquid and Turbulent Gas Flow in a Narrow Vertical Channel

O. Yu. Tsvelodub
Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: thin film of liquid, turbulent gas flow, evolution equation, periodic disturbances

Abstract >>
The countercurrent flow of a falling liquid film and a turbulent gas flow in a narrow vertical channel is considered. In the case of small Reynolds numbers and when certain conditions are met for the parameters of such a flow, the problem reduces to the study of one evolutionary integrodifferential equation for the deviation of the film thickness from the unperturbed level. A numerical study of the evolution of periodic disturbances has been carried out. Several solutions to the model equation are presented



4.
Equilibrium Model of the Mixing Layer in Shear Flow of Stratified Fluid

V. Yu. Liapidevskii, A. A. Chesnokov
Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: mixing layer, internal hydraulic jumps, Boussinesq approximation

Abstract >>
A mathematical model is proposed that describes the formation of internal hydraulic jumps and the mixing of co-directed flows of an ideal stratified fluid in the Boussinesq approximation. The model is based on a three-layer representation of the flow taking into account the entrainment of fluid from the outer layers into the intermediate vortex layer and is represented as a system of heterogeneous conservation laws. The speed of entrainment is given by the equilibrium condition within the framework of a more general model of evolution of the mixing layer. The speed of propagation of disturbances and the concepts of subcritical and supercritical flows are formulated. It is shown that the model is suitable for describing the mixing and splitting of flow in deep-sea currents. Solutions corresponding to the flow around an obstacle with the formation of an internal hydraulic jump and a region of intense mixing were constructed. The results of numerical modeling were shown to be in good agreement with experimental data.



5.
Vortex Structures in Supersonic Jets Exhausting into a Submerged Space

V. N. Zaikovskii1, V. P. Kiselev1, S. P. Kiselev1, O. V. Belai2, G. V. Trubacheev1
1Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
2Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: method of cold gas-dynamic spraying, slotted channel, supersonic jet, streamwise vortices, experiment, numerical simulation

Abstract >>
Results of studying gas flows in a setup used for cold gas-dynamic spraying are reported. The setup consists of a cylindrical inlet channel with a central rod connected at a right angle with a rectangular slotted channel. Injection of a high-pressure gas through the inlet channel leads to gas acceleration. It is shown that there are velocity and pressure disturbances in a supersonic overexpanded jet exhausting from the channel, which arise due to the presence of compression and expansion waves, as well as streamwise vortices. The contribution of streamwise vortices to pressure and velocity disturbances is approximately 30%. Streamwise vortices are formed at the entrance of the slotted channel owing to curvature of streamlines.



6.
Application of the GBK-F Multifunctional Composition to Reduce the Residual Water Saturation of Oil Bed

V. I. Pen'kovskii1, N. K. Korsakova1, L. K. Altunina2, V. A. Kuvshinov2
1Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
2Institute of Petroleum Chemistry, Tomsk, Russia
Keywords: capillary blocking, terrigenous structure, experiment, oil-displacing compositions

Abstract >>
A method for controlling the physical and chemical properties of a formation in order to increase its oil recovery by injecting an acid composition GBK-F into the formation is being considered. An experimental setup has been created for physical modeling of the effect of the composition on an oil reservoir. Experiments were carried out on a flat model with a single injection of the reagent into the central well. The experimental results confirmed the effectiveness of the composition



7.
Evolution of the Mathematical Model Characterizing the Thermal Field Developed in Submerged Arc Welding

J. Dutta
Department of Basic Science and Humanities, St. Thomas' College of Engineering and Technology, Kolkata, India
Keywords: integral transform, Duhamel's theorem, thermal field, submerged arc welding, EH36 steel

Abstract >>
A two-dimensional exact analytical solution of the thermal field developed during the submerged arc welding process with visualization of the thermal surface contour for analyzing the heat flow in the domain with the hybrid application of Duhamel's theorem and finite integral transform approach is obtained. The thermal field arising in submerged arc welding of thick EH36 steel plates is studied. An ellipsoidal heat source model is assumed. The developed thermal field is investigated with variations of several process parameters, such as the heat source velocity, heat input, and lag time of movement of the heat source involved in the welding process.



8.
Heart Rate Effect on Blood Flow Hemodynamics in a Patient with a Thoracic Aortic Aneurysm: Numerical Study

A. Faraji1, M. Sahebi1, S. S. Dezfouli2
1Department of Mechanical Engineering, Qom University of Technology, Qom, Iran
2Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran
Keywords: thoracic aorta aneurysms (TAA), oscillatory shear index (OSI), wall shear stress (WSS), heart rate, CFD

Abstract >>
In this study, the effect of patient's physical activity in terms of the heart rate on the growth of the thoracic aortic aneurysm (TAA) is studied. Using medical images of the patient, a patient-specific geometry model is constructed. Then the hemodynamic parameters of the blood flow are numerically analyzed for different heart rate conditions. The simulation results show that the maximum wall shear stress, the maximum velocity, and the maximum pressure during a cardiac cycle increase by 19.1, 12.7, and 50%, respectively, as the heart rate increases from 60 to 174 beats per minute. Results also indicate that an increase in the heart rate leads to reduction of the time-averaged wall shear stress and simultaneously to an increase in the wall shear stress oscillations. According to the literature, these hemodynamic conditions are undesirable and can increase the likelihood of aneurysm development and aortic rupture.



9.
Thermoviscoelastic Model of the Treatment of a Surface Layer with Variable Viscosity

A. G. Knyazeva
Institute of Strength Physics and Materials Science, Siberian Branch, Russian Academy of Sciences, Tomsk, Russia
Keywords: surface treatment, melting, chemical reaction, change in properties, viscoelastic stress

Abstract >>
The behavior of material under surface laser processing conditions is described taking melting into account. A Maxwellian type is presented that takes into account the change in heat capacity and viscosity with a change in temperature and material composition. This model is used as the bases to develop a model for the change in the properties of a flat layer material using a moving heat source. An algorithm for the numerical solution of the formulated problem is described. Examples are presented to show the effect of heat loss, cohesion, melting, chemical reactions and their acceleration due to the work of stress on the properties of the material



10.
Effect of Compression Pressure on the Characteristics of Radiation Protective Composites

V. I. Pavlenko, D. S. Romanyuk, V. V. Kashibadze, O. V. Kuprieva
Belgorod State Technological University named after V.G. Shukhov, Belgorod, Russia
Keywords: protective composite, boron carbide B4C, mechanical characteristics, hot pressing

Abstract >>
The results of a study of the influence of compaction pressure on the characteristics of radiation-protective composites based on polyethylene and boron carbide B4C are presented. Using software modeling, the temperature range for heating a mold of a given size was selected. The required holding time of the composite was determined experimentally, and defects that arise from various deviations from the optimal temperature parameters were identified. The results of testing the strength of samples under various pressing pressure conditions are presented, and the optimal pressure value is found. A composite was obtained with the following mechanical characteristics under optimal pressing conditions: density (1.09 ± 0.01) g/cm3, bending strength (5.72 ± 0.18) MPa, sound velocity in the composite (2050.00 ± 0.01) m/s



11.
Computational Algorithm for Analyzing the Governing Relations of the Endochronic Theory of Thermoplasticity for Isotropic Materials

G.N. Kuvyrkin, D. R. Rakhimov
Bauman Moscow State Technical University, Moscow, Russia
Keywords: endochronic theory of plasticity, thermoplasticity, non-isothermal loading, complex loading, deformation curve

Abstract >>
It is proposed to use the relations of the endochronic theory of thermoplasticity to describe the nonlinear deformation of isotropic materials under non-isothermal loading. A variant of the governing relations in integral and differential form for the general loading case is given. Analytical dependences for a number of material parameters of the model were determined based on the results of uniaxial tension (torsion) tests. A numerical algorithm based on the Euler method with an internal iterative process implemented by the Seidel method is proposed to analyze the governing relations. An example of numerical calculation of the uniaxial tension of a rod under complex thermal force loading. It is shown that the calculation results are in satisfactory agreement with the results obtained using isotropic hardening flow theory



12.
Study of Constrained Torsion of Thin-Walled Open Profile Rods using the Asymptotic Splitting Method

A. G. Gorynin1, G. L. Gorynin2, S. K. Golushko1,3
1Novosibirsk State University, Novosibirsk, Russia
2Surgut State University, Surgut, Russia
3Federal Research Center for Information and Computational Technologies, Novosibirsk, Russia
Keywords: thin-walled rods, constrained torsion, asymptotic splitting method, stress-strain state, warping, bimoment, Vlasov theory

Abstract >>
The problem of constrained torsion of thin-walled rods under the action of an end torque is considered. Using the asymptotic splitting method, a system of resolving equations was obtained that describes the combined torsion, tension-compression, and bending of the rod. To test the resulting model using the example of typical sections, a comparison was made of the stress-strain state in the rod, determined in the calculation using the developed model and three-dimensional numerical calculation by the finite element method. The resulting mathematical model was analyzed and its advantages compared to the widely used Vlasov theory were revealed. It is shown that the developed model does not contain the restrictions imposed by the hypotheses in the Vlasov theory, such as the non-deformability of the transverse contour and the absence of shear deformations on the middle surface. In a number of cases, the resulting model makes it possible to more accurately determine the emerging stress-strain state. In particular, it is shown that the developed model takes into account the presence of a boundary layer near the embedment, which arises during torsion of corner sections and makes a significant contribution to longitudinal stresses, while Vlasov’s theory does not allow one to restore the arising longitudinal stresses



13.
Determination of the Effective Dynamic Yield Strength of Heterogeneous Materials

A. E. Buzyurkin, A. E. Kraus, E. I. Kraus, I. I. Shabalin
Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: dynamic yield strength, heterogeneous material, impact, fracture

Abstract >>
A method of determining the dynamic yield strength of heterogeneous materials is proposed, based on comparisons of the processes of cavity formation in the reference and examined materials. A series of computations is performed for penetration of an extended rod into homogeneous and heterogeneous massive targets. A nonmonotonic dependence of the penetration depth on the motion velocity is derived. The yield strength limit of a heterogeneous medium is obtained from the analysis of computation results in the coordinates of the specific kinetic energy of the rod and the work of stresses on plastic strains.



14.
Increasing the Order of Approximation for Calculations of wave Processes in a Composite Sample when using an Unstructured Computational Grid

A. V. Vasyukov, I. B. Petrov
Moscow Institute of Physics and Technology, Dolgoprudny, Russia
Keywords: grid-characteristic method, unstructured mesh, extended template, dynamic problem, anisotropic elasticity

Abstract >>
Using the grid-characteristic numerical method on grids of tetrahedrons, wave processes in a composite material are simulated under the action of a pulsed shock load. An approach is proposed to increase the order of approximation of the method on an unstructured mesh in the three-dimensional case. The results of calculations of the propagation of a load impulse in a three-layer composite are presented



15.
Torsion of a Two-Layer Elastic Rod with a Box Section

S. I. Senashov, I. L. Savost'yanova, A. Yu. Vlasov
Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, Russia
Keywords: elastic torsion, multilayer rod, exact solution, conservation laws

Abstract >>
A two-layer rod with a box section twisted under the action of tangential stresses at angle θ is considered. It is assumed that the deformations in the rod are elastic and its lateral surface is stress-free. The layers have different elastic properties and different thicknesses. The layer contact line is assumed to be rigid, i.e., the stresses on it coincide. An exact solution describing the stress state of the given structure is constructed using conservation laws. The stress state is determined at each point of the cross section using integrals over external contours



16.
Physicomathematical Modeling of the Penetration of projectiles into Soft Fabric Targets

A. V. Petyukov, A. I. Bobrova, I. R. Grishin, D. A. Ivanov, M. Yu. Sotskii
Bauman Moscow State Technical University, Moscow, Russia
Keywords: fabric target, numerical methods, limit penetration speed, ballistic resistance, mesomodeling

Abstract >>
A simplified numerical method for simulating the penetration of projectiles into fabric targets is proposed which takes into account the type of fabric weaving, the friction forces between the fibers and between the projectile and the fabric, and the transverse dimensions of the fabric. The necessary calculated parameters were selected from a comparison of experimental and calculated data. The proposed method was used to estimate the ballistic resistance of a combined protective composition required to reduce the armor impact. The problem of the nfluence of the projectile shape on the ballistic resistance of fabric armor protection



17.
Design of a New Laboratory Device for Studying Sliding on Snow

A. Yu. Larichkin, D. V. Tikhvinskii, D. V. Parshin
Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: snow, ski sliding, friction, experiment

Abstract >>
A brief overview of experimental approaches to the study of the tribology of sliding of various bodies on snow or ice is presented, and a model and a digital twin of a tribological device is proposed. The deformation distribution of a tank with snow rotating at a target speed was obtained by modeling, and the work done by the friction force per sliding cycle was determined by testing the movement of a ski sample on a flat snow surface. The proposed device can be used to evaluate the efficiency of sliding on snow at a given temperature, snow structure, humidity, and the roughness of the ski surface sliding on snow



18.
Analysis of the Use of One-Dimensional Network Models of Blood Flow to Assess the Hemodynamic Coefficients in Stenosis Coronary Arteries

S. S. Simakov1,2,3
1Marchuk Institute of Computational Mathematics, Russian Academy of Sciences, Moscow, Russia
2Moscow Institute of Physics and Technology, Dolgoprudny, Russia
3Sechenov First Moscow State Medical University (Sechenov University), Moscow, Russia
Keywords: hyperbolic equations, conservation laws, coronary blood flow, hemodynamic indices, fractional blood flow reserve

Abstract >>
This paper presents an analysis of the effectiveness of using one-dimensional network models for virtual assessment of hemodynamic indices whose values are widely used in clinical practice to choose a treatment strategy for coronary heart disease with stenotic lesions of the coronary arteries. It is shown that existing approaches make it is possible to assess hemodynamic indices based on clinical data collected without intervention in the body with an accuracy comparable to the accuracy of the input data and direct measurements. It is also important to take into account the state of the myocardium microvasculature and its influence on the interpretation of modeling results and direct measurements in the clinic



19.
Algorithm for Assessing the Shagginess of the Abdominal Aorta Lumen Based on Three-Dimensional Analysis of its Morphology

Ya. V. Fedotova1, E. V. Amelina1, R. I. Mullyadzhanov2, A. A. Karpenko3
1Novosibirsk State University, Novosibirsk, Russia
2Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
3Meshalkin National Medical Research Center, Novosibirsk, Russia
Keywords: shaggy aorta, three-dimensional morphology analysis, central line, local basis with parallel transfer, ideal surface, thromboembolic complications

Abstract >>
An approach is proposed for quantitative assessment of the shagginess of the lumen of a pathologically altered aorta, taking into account the three-dimensional morphology of its internal surface. An algorithm for assessing local shagginess has been developed and implemented, and an integral criterion for shaggyness in the anatomical region has been proposed. The algorithm was tested on data from two patients with a shaggy and a smooth lumen. The results obtained are in good agreement with the results of visual assessment by expert surgeons and are confirmed by clinical outcomes during surgery



20.
Mechanical Properties of Salmonella Typhimurium and Listeria Monocytogenes Bacteria

I. Rezaei, A. Sadeghi
Renewable Energy Research Center, Damavand Branch, Islamic Azad University, Damavand, Iran
Keywords: Salmonella typhimurium and Listeria monocytogenes bacteria, mechanical properties, resonant frequency, atomic force microscopy

Abstract >>
Salmonella typhimurium and Listeria monocytogenes bacteria, which are two important bacteria used for bacterial therapy purposes in order to limit tumor growth, are studied. Mechanical specifications of the bacteria obtained applying nanoindentation with the use of atomic force microscopy (AFM) are reported. The results show that Salmonella typhimurium bacteria have a greater elastic modulus, but smaller adhesion than Listeria monocytogenes bacteria. The elastic modulus of the AFM extension stroke is larger than that of the retraction stroke. The resonant frequencies and amplitudes of the frequency response function of the AFM beam's vertical movements with two bacteria as samples are investigated using the finite element method. The results show that an increase in the elastic modulus of the sample raises the resonant frequency; therefore, the resonant frequency of Salmonella typhimurium bacteria is greater than that of Listeria monocytogenes bacteria. The results obtained by the finite element method and experimental techniques are found to be in good agreement.