


Vol 517, No 1 (2024)
Articles
Valentin Efimovich Kostyukov (to his 75th anniversary)



ФИЗИКА
Experimental studying of vapor explosion triggering during the breakup of a molten salt jet
Abstract
The paper presents an experimental study using high-speed video recording of the process of vapor explosion on a breakup jet of molten NaCl salt in water. The regimes of jet breakup into large parts, accompanied by the separation of small satellite droplets, have been studied. For the first time, the propagation of a vapor explosion on two large fragments of jet breakup due to spontaneous triggering of the process on a droplet-satellite was reproduced and recorded under laboratory conditions. The possibility of a vapor explosion occurring at the initial stage of the first stage of coarse crushing and mixing of the melt jet is shown.



Parameters of graphite shock compression at the initial stages of Popigai astrobleme formation
Abstract
A numerical modeling of the process of a high-speed impact of a massive asteroid with the Earth’s surface was carried out to study the hypothesis of the meteoritic origin of the impact diamond deposit located in the Popigai River basin. A normal collision of a chondritic asteroid with a layered structure of the Earth’s soil at a speed of 25 km/s is simulated in 2D axisymmetric formulation. The natural carbon deposit layer is located in the near-surface zone of the loaded area. The calculations were carried out using a multidimensional parallel implementation of the finite-size particle-in-cell method. Models of the equations of state of chondrite, quartz and carbon are used to describe the properties of the meteorite and soil material. Thermodynamic parameters of impact compression of soil materials at the initial stages of loading and crater formation processes are obtained.



МЕХАНИКА
Removal of the stress field singularity for the Williams problem (1952) basing on a non-Euclidean continuum model
Abstract
A singular solution for the elastic stress field in the Williams problem on the equilibrium of plates with corner cutouts is considered. A scheme has been constructed for the minimal expansion of the classical elastic continuum model without taking into account the Saint-Venant compatibility conditions for deformations, which leads to a non-Euclidean continuum model. Within this model framework, the total stress field is shown to contain no singularity for all cutout angles.



Evolution of vortices at the merging of an ethanol droplet with water in an intrusive mode
Abstract
The evolution of vortices formed when a freely falling drop of a 95% aqueous solution of ethanol, tinted with brilliant green, merges with water in the intrusive mode has been traced by method of high-speed video recording. The drop smoothly flows into the liquid and forms a subducting lenticular intrusion, in which a weakly expressed ring vortex is formed if the potential surface energy is greater than or of the same order as its kinetic energy. Gradually, the intrusion of lighter liquid begins to float up and contracts around the cavern, which takes on a conical shape. From the center of the pointed bottom of the cavity, which has reached its maximum depth, a compact volume containing a light liquid of droplet is pushed into the thickness of the liquid. After the cavern collapses, the primary intrusion spreads along the free surface of the target fluid. In this case, the submerging volume is transformed into a small spherical vortex, which reaches its maximum depth, and then stops and forms a compact secondary intrusion elongated vertically. Next, the central part of the secondary intrusion begins to flow up and gradually transforms into a new ring vortex. As it approaches the free surface, the diameter of the vortex increases. The slowly rising shell of the intrusion forms the bottle-shaped base of the cylindrical trace of the ring vortex, colored with droplet pigment. Changes in the sizes of the main structural components during the evolution of the flow pattern were traced.



Miscellaneous types of localization of natural oscillations of a gasket between parallel flanges
Abstract
Both bases of a thin cylindrical gasket are fixed but the lateral side stays traction-free. For middle cross-sections with a smooth boundary as well as for a square one, we describe the asymptotics of frequencies of natural oscillations. Based on an investigation of the spectrum of the mixed boundary-value problem in the theory of elasticity in a quarter of the unit layer, we discover a new effect of localization of modes of natural oscillations near vertices of the square section and of the exponential decay at a distance from them. In the case of the smooth boundary of the cross-section eigenmodes concentrate either near the whole edge (a circular plate), or at the vicinity of points of maximum of the contour curvature.



General solution of the equations system of the moment linear elasticity theory of the isotropic Cosserat pseudo-continuum
Abstract
For a system of equations in displacements for the Cosserat medium, two variants of representing the general solution through three functions satisfying three independent equations was found, i. e. the system is diagonalized. Expressions for the production of new solutions (symmetry operators) are given. The expressions provides to find new solutions to the original equations by differentiating from any given solution. Some particular solutions was obtained for the cases of plane and antiplane deformation.



Prediction of multistage fatigue curve based on the relaxation model of irreversible cyclic deformation
Abstract
The paper studies the multi-stage fatigue dependence (Wöhler diagram) of the material and proposes a new model for its prediction based on considering the mechanisms of plastic deformation and fracture under cyclic loads and a combination of relaxation processes with the evolutionary development of damage, for which the initial condition is formed using the calculation calculated during the cycling process energy of irreversible deformation. The performance of the model is verified using the results of cyclic deformation tests on DP500 steel as an example. It is shown that within the framework of a unified approach it is possible to simultaneously evaluate the short-term, fatigue and long-term strength of the material.



Osmotic filtration of salt water in sedimentary strata containing semipermeable areas and its possible applications
Abstract
Mathematical modeling and investigation of the filtration process of salt water in the sedimentary column, taking into account the phenomenon of osmosis, has been performed. It is shown that the osmotic interaction of salt and fresh water in a sedimentary column containing interlayers and inclusions of poorly permeable rocks (clays, silts, etc.) can lead to the appearance of zones of large pressure anomalies and the destruction of the geomedium. The proposed osmotic mechanism of destruction of the geomedium explains the formation of pockmarks and craters on the surface of passive areas of the crust that do not experience any movements and deformations for a long period of time. This mechanism is an alternative to the common point of view about a polygonal fault system of tectonic nature, on the basis of which marks on the seabed or craters in permafrost areas on land are explained. The mathematical model under study showed that under the conditions under consideration, convection of a solution with closed current lines occurs, similar to gravitational convection.



Spatial reorientation of a solid body using a moving mass in the presence of external forces specified as the functions of time
Abstract
The spatial motion of a mechanical system consisting of a rigid body and a moving point mass, interacting with each other by means of unspecified internal forces, has been studied. The task is to construct such a trajectory for a point mass, when moving along which a rigid body, under the influence of the force of interaction with this mass, changes its orientation in space according to a known program. It is assumed that there are external forces acting on both objects, specified as functions of time. A system of three first-order ordinary differential equations, resolved with respect to derivatives, is obtained, which allows solving the problem. These relationships can be used to control spacecraft and robotic systems.



ТЕХНИЧЕСКИЕ НАУКИ
Underwater pipeline lifting by concentrated force
Abstract
We consider a static linear bending of a pipeline when it is lifted by a concentrated force. The weights of the pipe, the transported medium and the lifting force of the water are taken into account. It is assumed that the length of the raised section of the pipeline is greater than the depth of the reservoir. A parametric analysis of the influence of the weight and rigidity characteristics of the pipeline on the required lifting force is given.



Prospects for achieving carbon neutrality by economically developed countries
Abstract
The prospects for achieving carbon neutrality by economically developed countries (USA, EU, Norway, Canada, Japan and Australia) are studied. An analysis of the structure of energy and land use in these countries is carried out. Scenario estimates of the dynamics of carbon indicators of the economies of the world’s leading countries have been developed.
It is shown that the current rates of decarbonisation and development of the carbon capture and storage industry do not guarantee the achievement of climate neutrality by 2050, even in the world’s leading economies. A central challenge in achieving climate neutrality is the rapid and large-scale deployment of CCS in all its possible manifestations. All of the countries studied, except Japan, have their own capacity to store carbon for more than a hundred years.
To achieve climate neutrality, the leading OECD countries will need to ensure the annual capture of at least 6 billion tons of CO2 by 2050, which is almost 25 times higher than their current capacities (operating, under construction and under design) Despite the fact that climate change occupies almost a leading place on the global agenda, the actual results of efforts in this area are far from declared. It is no longer realistic to keep warming within 1.5°C, and at the current rate of decarbonization, even by world leaders, the defense of the second critical frontier in 2°C will soon be threatened.


