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Journal articles on the topic 'Mathematical model of motion of liquids'

Author: Grafiati

Published: 28 May 2022

Last updated: 30 July 2025

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1

Lobanova, Irina, Vladimir Meshheryakov, Aleksey Kalinichenko, and Anatoly Surzhikov. "Hydrodynamics of Liquid Motion in Straight-Line Capillaries." Materials Science Forum 942 (January 2019): 110–20. http://dx.doi.org/10.4028/www.scientific.net/msf.942.110.

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The paper considers the mathematical model of liquid motion in straight-line capillaries. The proposed mathematical model shows the liquid motion in slit-like capillaries, with regard to the density, viscosity and surface tension of liquids, the capillary size, and the angle of capillary inclination to the horizontal. The modeling results are proved by full-scale experiments.

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2

SH. AKHATOV, I., M. M. KHASANOV, and I. G. KHUSAINOV. "AUTO- AND CHAOTIC OSCILLATIONS IN HYDRODYNAMICS OF NON-NEWTONIAN LIQUIDS." International Journal of Bifurcation and Chaos 03, no. 04 (1993): 1039–44. http://dx.doi.org/10.1142/s0218127493000854.

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A new approach for the description of the rheological behavior of non-Newtonian liquids (clay solutions, polymer solutions, paraffin containing oil) is developed. By this approach the hydrodynamic phenomena in non-Newtonian liquids depend on the nonlinear kinetics of destruction-reconstruction processes for connecting links between the structural elements of the medium. The mathematical model is based on a respective phenomenological nonlinear kinetic equation. For the description of the nonsteady motion of such liquids between the walls of a rotary viscometer, this equation is supplemented wi

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3

Watanabe, M., and A. Prosperetti. "Shock waves in dilute bubbly liquids." Journal of Fluid Mechanics 274 (September 10, 1994): 349–81. http://dx.doi.org/10.1017/s0022112094002156.

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The propagation of weak shock waves in liquids containing a small concentration of gas bubbles is studied theoretically on the basis of a mathematical model that contains all — and only — the effects that contribute to first order in the gas volume fraction. In particular, the thermal exchange between the gas bubbles and the liquid is described accurately. This aspect of the theory emerges as its most significant component, relegating effects such as the relative motion between the phases to roles of minor importance. Comparison with experimental results substantiates the accuracy of the model

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4

BastosFreitas Rachid, Felipe. "Structural Integrity of Flexible Piping Systems Conveying Liquids." Journal of Pressure Vessel Technology 128, no. 3 (2005): 341–47. http://dx.doi.org/10.1115/1.2217966.

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This work presents a structural integrity model for piping systems conveying liquids which takes the axial fluid-structure interaction into account. The model is used to numerically investigate the influence of pipe motion on the degradation of the piping when fast transients are generated by valve slam. The resulting mathematical problem is formed by a system of nonlinear partial differential equations which is solved by means of an operator splitting technique, combined with Glimm’s method. Numerical results obtained for an articulated piping system indicate that high piping flexibility may

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5

Sardana, Pranshul, Mohammadreza Zolfaghari, Guilherme Miotto, et al. "DropletAI: Deep Learning-Based Classification of Fluids with Different Ohnesorge Numbers during Non-Contact Dispensing." Fluids 8, no. 6 (2023): 183. http://dx.doi.org/10.3390/fluids8060183.

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The reliable non-contact dispensing of droplets in the pico- to microliter range is a challenging task. The dispensed drop volume depends on various factors such as the rheological properties of the liquids, the actuation parameters, the geometry of the dispenser, and the ambient conditions. Conventionally, the rheological properties are characterized via a rheometer, but this adds a large liquid overhead. Fluids with different Ohnesorge number values produce different spatiotemporal motion patterns during dispensing. Once the Ohnesorge number is known, the ratio of viscosity and surface tensi

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6

Abdymanapov, S. A., and L. G. Kassenova. "RESEARCH AND MODELING OF FLUID MOTION IN THE CASE WHEN THE VOLUME OF THE FLUID DOES NOT CHANGE AND IN THE CASE WHEN THE VOLUME CHANGES." BULLETIN Series of Physics & Mathematical Sciences 70, no. 2 (2020): 149–54. http://dx.doi.org/10.51889/2020-2.1728-7901.22.

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A liquid is a physical body that has the property of fluidity, so it does not have its own shape and takes the form of a vessel that it fills. Liquids are divided into two types: drip and gaseous. Droplet liquids are characterized by high compression resistance (almost complete incompressibility) and low resistance to tensile and tangential forces, due to the insignificance of the coupling forces and friction forces between the liquid particles. An incompressible fluid is a mathematical model of a continuous medium whose density is preserved when the pressure changes. When defining an incompre

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7

Flugrad, D. R., and L. A. Obermaier. "Computer Simulation of a Test Rig to Model Sloshing in Spin-Stabilized Satellites." Journal of Dynamic Systems, Measurement, and Control 114, no. 4 (1992): 689–98. http://dx.doi.org/10.1115/1.2897742.

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Certain communications satellites carry liquid stores on board for station tending and attitude adjustment. However, sloshing of the liquid can cause an undesirable nutational motion of the spin-stabilized vehicle. In previous work a test rig was designed, built and instrumented to study the interaction between the rotating structure and liquid. To augment that experimental project, a computer model of the test rig has been developed to simulate the dynamic motion of the system for various parameter values. The sloshing liquid was replaced by a two degree-of-freedom pendulum in the mathematica

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8

Zhao, Kaihong. "Existence, Stability and Simulation of a Class of Nonlinear Fractional Langevin Equations Involving Nonsingular Mittag–Leffler Kernel." Fractal and Fractional 6, no. 9 (2022): 469. http://dx.doi.org/10.3390/fractalfract6090469.

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The fractional Langevin equation is a very effective mathematical model for depicting the random motion of particles in complex viscous elastic liquids. This manuscript is mainly concerned with a class of nonlinear fractional Langevin equations involving nonsingular Mittag–Leffler (ML) kernel. We first investigate the existence and uniqueness of the solution by employing some fixed-point theorems. Then, we apply direct analysis to obtain the Ulam–Hyers (UH) type stability. Finally, the theoretical analysis and numerical simulation of some interesting examples show that there is a great differe

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9

Farooq, A. A., and A. M. Siddiqui. "Mathematical model for the ciliary-induced transport of seminal liquids through the ductuli efferentes." International Journal of Biomathematics 10, no. 03 (2017): 1750031. http://dx.doi.org/10.1142/s1793524517500310.

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This study describes the consequences of the ciliary motion on the transport of seminal liquid through the ductus efferentes of the male reproductive tract. By assuming the seminal liquid as a couple stress fluid, we have formulated a mathematical model for a two-dimensional flow through an axially symmetric tube whose inner surface is ciliated in the form of a metachronal wave. The governing system consists of nonlinear coupled partial differential equations which is reduced to a system of ordinary differential equations by utilizing the long wavelength approximation in an environment of the

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10

Torres-Ulloa, C., S. Berres, and P. Grassia. "Foam–liquid front motion in Eulerian coordinates." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2220 (2018): 20180290. http://dx.doi.org/10.1098/rspa.2018.0290.

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A mathematical model formulated as a system of Hamilton–Jacobi equations describes implicitly the propagation of a foam–liquid front in an oil reservoir, as the zero-level set of the solution variable. The conceptual model is based on the ‘pressure-driven growth’ model in Lagrangian coordinates. The Eulerian mathematical model is solved numerically, where the marching is done via a finite volume scheme with an upwind flux. Periodic reinitialization ensures a more accurate implicit representation of the front. The numerical level set contour values are initially formed to coincide with an early

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11

Aleksandrov, Evgeniy, Tatyana Aleksandrova, Yaroslav Morgun, Mykhailo Kholodov, Oleksandr Yaryta, and Vladyslav Shapovalenko. "To the issue of decomposition of mathematical models of disturbed motion of complex discrete-continuous dynamic systems." Automobile transport, no. 52 (July 26, 2023): 41–53. http://dx.doi.org/10.30977/at.2219-8342.2023.52.0.05.

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Problem. Usually, complex dynamic systems are characterized by a high order of equations in their mathematical models and intricate interconnections among subsystems that constitute the complex dynamic system. Naturally, the analysis and synthesis of complex dynamic systems require the use of powerful computational systems with vast memory and high processing speed. Goal. The aim is quantitative assessment of the influence of the continuum part of a dynamic system on the behavior of its discrete part and the possibility to perform decomposition of the mathematical model of perturbed motion of

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12

Köhne, H. G., and M. Stockhausen. "Computer Simulation of a Simple Model for Rotational Moment Fluctuations in an Associating Liquid." Zeitschrift für Naturforschung A 50, no. 4-5 (1995): 352–56. http://dx.doi.org/10.1515/zna-1995-4-506.

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Abstract With regard to the interpretation of dielectric relaxation spectra of associating liquids such as alcohols, a two state model for the rotational tumbling motion of a dipole is considered: The moment (of constant magnitude) is assumed to undergo stochastic tumbling during a "free" state, alternating with an "associated" state where for a certain residence time the rotational motion can be neglected. One particle autocorrelation functions according to that model are calculated numerically. In any case, they can well be described as sum of (at most) two exponentials. The corresponding pa

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13

LI, ZHI-TAO, GAO-JIN LI, HAI-BO HUANG, and XI-YUN LU. "LATTICE BOLTZMANN STUDY OF ELECTROHYDRODYNAMIC DROP DEFORMATION WITH LARGE DENSITY RATIO." International Journal of Modern Physics C 22, no. 07 (2011): 729–44. http://dx.doi.org/10.1142/s0129183111016580.

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The lattice Boltzmann method (LBM) has been applied to electrohydrodynamics (EHD) in recent years. In this paper, Shan–Chen (SC) single-component multiphase LBM is developed to study large-density-ratio EHD problems. The deformation/motion of a droplet suspended in a viscous liquid under an applied external electric field is studied with three different electric field models. The three models are leaky dielectric model, perfect dielectric model and constant surface charge model. They are used to investigate the effects of the electric field, electric properties of liquids and electric charges.

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14

Rusanov, P. G. "Algorithmic concepts of method of solid bodies." Izvestiya MGTU MAMI 7, no. 3-1 (2013): 124–36. http://dx.doi.org/10.17816/2074-0530-68053.

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Method of solid bodies is included in the group of adaptive numerical methods of continuum mechanics. It is applicable for the analysis of motion of solids, liquids and gases. Using construction techniques this method provides a priori division of the generalized coordinates for the finite object of the research volume into fast and slow variables. The total number of slow variables does not exceed 6 N, where N is a number of finite volumes. The paper mentions methods of forming mathematical model of the object state relatively to the slow variables without the participation of the fast variab

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15

Leleka, S. V. "GENERALIZED MATHEMATICAL MODEL OF PHYSICAL FIELDS OF TECHNOLOGICAL REDISTRIBUTIONS OF MANUFACTURING ELECTROGRAPHITE PRODUCTS." Energy Technologies & Resource Saving, no. 2 (June 20, 2021): 28–43. http://dx.doi.org/10.33070/etars.2.2021.03.

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A generalized mathematical model of the physical fields of the main technological redistributions of electrographite products is developed, which is based on a continuous-discrete approach to the description of nonlinear behavior of solids, liquids and gases, and bulk media. It is shown that the continuous formulation of physical processes in the technology of carbongraphite production is based on the Euler frame of reference and may include the following equations: conservation of mass, momentum and energy, electrical conductivity in the vortex-free approximation of electric potential and tra

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16

Mardare, Irina, Irina Tiţa, and Alexandru Constantin Zaharia. "Aspects Regarding the Dynamic Behavior of a Hydraulic Cylinder." Bulletin of the Polytechnic Institute of Iași. Machine constructions Section 67, no. 1 (2021): 41–50. http://dx.doi.org/10.2478/bipcm-2021-0005.

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Abstract This paper deals with hydraulic cylinders with and without end position cushioning. The reduction of the velocity at the end of the stroke is important in order to preserve the structural integrity and to avoid undesirable motion of the load. The mathematical model of such a hydraulic cylinder is shown, as well as the Matlab functional diagram for the system. It is also revealed the role of the working fluid, considering the actual recommendations regarding the biodegradable substances. It was considered both mineral base liquids and vegetable base liquids. The functional diagram offe

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17

Pashkov, E. N., Nikita Martyushev, and Pavel G. Yurovsky. "Stationary Rotation of the Partially Liquid-Filled Unbalanced Rotor under External Friction Force Action." Advanced Materials Research 1040 (September 2014): 903–6. http://dx.doi.org/10.4028/www.scientific.net/amr.1040.903.

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Rotor rotation with liquid layer on the chamber wall under viscoelastic action of the shaft within a planar model is examined in the article. The solution to the problem of determining the deflection of a rotating shaft with liquid filled chamber is given, which is important when designing an automatic balancing device. The issue of the cooperative motion of a solid body and liquid is considered in mathematical research. The set task is performed by applying D'Alembert's principle. The modeling results indicate that an increase in liquid’s mass in a rotor decreases its critical rotation speed;

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18

Vyskrebtsov, V. G. "Steady viscous fluid flow at pipe entrance." Izvestiya MGTU MAMI 7, no. 1-3 (2013): 44–53. http://dx.doi.org/10.17816/2074-0530-67782.

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The paper refers to the opinion that the system of Navier-Stokes equations, which is one of the basics in the theory of continuous media and serves as a mathematical model of motion in fluid mechanics, does not describe some practically important movements. In particular, they do not describe the possible torsion of the current lines, i.e. do not describe the torsion of the continuum in small neighborhoods of points. Therefore, it is principally important to identify the degree of conformity of theoretical and experimental data of liquids flows. The flow at the entrance of the tube may be both

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19

Knavel, S. A., T. V. Savina, M. V. Mroz, et al. "A mathematical model of solid-state dewetting of barium thin films on W(112)." Mathematical Modelling of Natural Phenomena 15 (2020): 12. http://dx.doi.org/10.1051/mmnp/2019040.

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Solid state dewetting occurs when a thin solid film is heated. The temperature of dewetting depends on the thickness of the film; dewetting can be observed in the range of 1∕3 to 1∕2 of the bulk melting temperature. While remaining solid, the film behaves in a manner similar to liquids dewetting and agglomerating to forming islands or droplets. One of the possible mechanisms is the conversion of a metastable thin film geometry into a more stable form. Heating the metastable film gives the film atoms higher mobility, and the films retract, dewetting the surface. This atomic motion can be restri

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20

Trukhanov, K. A. "DYNAMICS OF PNEUMATIC DRIVE. LECTURE CYCLE. THE EQUATION OF MOTION OF THE WORKING MEDIUM. MULTIPHASE GAS-LIQUID MIXTURES. CAVITATION AND HYDRATES IN THE DRIVE. TRANSMISSION OF INFORMATION VIA A HYDRAULIC COMMUNICATION CHANNEL." Spravochnik. Inzhenernyi zhurnal, no. 306 (September 2022): 1–24. http://dx.doi.org/10.14489/hb.supp.2022.09.pp.001-024.

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The paper presents the derivation of a mathematical model of the movement of the working environment; the application of the compiled system of equations of motion of the working medium in a cylindrical coordinate system is shown. The validity and possibility of using a rotary rheometer to determine the rheological characteristics of liquids are mathematically proved. An equation is obtained for the moment of resistance during the movement of Newtonian and non-Newtonian fluids in a coaxially cylindrical developed measuring system, taking into account the rheological parameters of the fluid: “k

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21

Trukhanov, K. A. "DYNAMICS OF PNEUMATIC DRIVE. LECTURE CYCLE THE EQUATION OF MOTION OF THE WORKING MEDIUM. MULTIPHASE GAS-LIQUID MIXTURES. CAVITATION AND HYDRATES IN THE DRIVE. TRANSMISSION OF INFORMATION VIA A HYDRAULIC COMMUNICATION CHANNEL Continuation." Spravochnik. Inzhenernyi zhurnal, no. 307 (October 2022): 1–28. http://dx.doi.org/10.14489/hb.supp.2022.10.pp.001-028.

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The paper presents the derivation of a mathematical model of the movement of the working environment; the application of the compiled system of equations of motion of the working medium in a cylindrical coordinate system is shown. The validity and possibility of using a rotary rheometer to determine the rheological characteristics of liquids are mathematically proved. An equation is obtained for the moment of resistance during the movement of Newtonian and non-Newtonian fluids in a coaxially cylindrical developed measuring system, taking into account the rheological parameters of the fluid: “k

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22

Toleukhan, Imankul. "Optimal Control of the Rotor System Motion." Advanced Materials Research 705 (June 2013): 546–52. http://dx.doi.org/10.4028/www.scientific.net/amr.705.546.

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Among the problems of the rotor machines dynamics the special attention is given to the problems of creation of the automatic balancing devices (ABD) in form of a hollow rotor, filled by a liquid, and the liquid-solidbody ABD. The theoretical and experimental works on research of the ABD on the base of a hollow rotor filled partially with a liquid and of the liquid-solidbody ABD are not enough. Therefore development of the methods of research of dynamics of the rotor machines with the ABD and such machines designs is an actual, new and perspective problem. In the present work the mathematical

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23

Réger, Mihály, Balázs Verő, Róbert Józsa, and Zsolt Csepeli. "Effect of Mushy Zone Permeability on the Formation of Centerline Segregation in Slab Casting." Materials Science Forum 790-791 (May 2014): 296–301. http://dx.doi.org/10.4028/www.scientific.net/msf.790-791.296.

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A complex mathematical model characterizing the centerline segregation level in the mid region of continuously cast slabs was developed. The basic heat transfer and solidification model connected to the semi-empirical liquid feeding model (LMI - Liquid Motion Intensity model) gives the possibility to estimate the centerline segregation parameters of slab cast under industrial circumstances. Solid shell deformation changes the volume of the space available for the liquid inside the slab and hereby also changes the conditions of liquid supply.

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24

Sarada, Konduru, Ramanahalli J. Punith Gowda, Ioannis E. Sarris, Rangaswamy Naveen Kumar, and Ballajja C. Prasannakumara. "Effect of Magnetohydrodynamics on Heat Transfer Behaviour of a Non-Newtonian Fluid Flow over a Stretching Sheet under Local Thermal Non-Equilibrium Condition." Fluids 6, no. 8 (2021): 264. http://dx.doi.org/10.3390/fluids6080264.

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A mathematical model is proposed to describe the flow, heat, and mass transfer behaviour of a non-Newtonian (Jeffrey and Oldroyd-B) fluid over a stretching sheet. Moreover, a similarity solution is given for steady two-dimensional flow subjected to Buongiorno’s theory to investigate the nature of magnetohydrodynamics (MHD) in a porous medium, utilizing the local thermal non-equilibrium conditions (LTNE). The LTNE model is based on the energy equations and defines distinctive temperature profiles for both solid and fluid phases. Hence, distinctive temperature profiles for both the fluid and sol

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25

Yan, Jun, Yin Qi Wei, and Hong Cai. "A Mathematical Thermal Hydraulic-Mechanical Coupling Model for Unsaturated Porous Media." Applied Mechanics and Materials 602-605 (August 2014): 365–69. http://dx.doi.org/10.4028/www.scientific.net/amm.602-605.365.

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s: Temperature, seepage and deformation are the important parts of the engineering geological mechanics both in water conservancy and hydropower engineering since there are highly nonlinear complex coupling effect between each other. In this paper, the earth and rock mass are classified as continuous porous media. The thermal constitutive relation of porous media and motion regularity of pore fluid are deduced from the basic theory of solid mechanics, hydraulics, and thermodynamics. Based on momentum, mass and energy conservation equations, the multi-field controlling equations of unsaturated

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26

Meng, Jia Le, Jian Hua Shao, and Ai Min Zhao. "Multi-Fluid Mathematical Model for Blast Furnace and its Parallel Solution." Applied Mechanics and Materials 675-677 (October 2014): 1463–72. http://dx.doi.org/10.4028/www.scientific.net/amm.675-677.1463.

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Developing blast furnace model is benefit to understand, control and improve blast furnace iron making process. Multi-fluid blast furnace model was established on computational fluid dynamics, reaction kinetics, transport phenomena and other theories. In the model, complicated motion and heat transfer between phases of gas, liquid and solid were considered and numerous reactions in blast furnace were simplified. Because there were so many equations in the model and there were strong coupling relationships between phases, parallel computing technology using computer group was adopted to solve t

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27

Niu, Xiaofeng, Zhenliang Song, Zhao Fang, et al. "Numerical Simulation of Casting Filling Process of Composites Reinforced with Nano SiC Based on Smoothed Particle Hydrodynamics." Journal of Nanoscience and Nanotechnology 18, no. 12 (2018): 8169–77. http://dx.doi.org/10.1166/jnn.2018.16383.

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The actual casting filling process can be deemed as the coupled flow of air, molten metal and solid-phase particles (such as slag) inside the cavity, which may cause air entrapment, slag inclusion and other casting defects, and affect the quality of casting. Through computation simulation of the casting filling process on the basis of smoothed particle hydrodynamics (SPH) method, it can not only precisely track the motion trajectories of air, molten metal and slag particles, but also precisely predict air entrapment, slag inclusion and other casting defects. This paper established a mathematic

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28

Limarchenko, O. S., and Y. A. Sliusarchuk. "Analysis of reservoir’s mass influence on the system free – surfaced liquid and spherical reservoir." Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, no. 1 (2019): 110–13. http://dx.doi.org/10.17721/1812-5409.2019/1.25.

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Within the framework of combined motion the effect of ratio of masses of reservoir and liquid on the behavior of a free surface of liquid in the reservoir of spherical shape is studied. We suppose that liquid is ideal and it fills partially the reservoir. Mathematical modelling is done on the basis of the model, which takes into account combined character of nonlinear dynamics of liquid and the reservoir. Examples were done based on mathematical model of combined motion of liquid in spherical reservoir and free-surfaced liquid under harmonic force disturbance in horizontal direction. Two cases

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Gilev, P. V., and A. A. Papin. "Existence of a Weak Solutionto the Two-Dimensional Filtration Problem in a Thin Poroelastic Layer." Izvestiya of Altai State University, no. 4(126) (September 9, 2022): 93–98. http://dx.doi.org/10.14258/izvasu(2022)4-14.

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The paper considers a mathematical model of the joint motion of two immiscible incompressible fluids in a poroelastic medium. This model is a generalization of the classical Musket-Leverett model, in which porosity is considered to be a given function of the spatial coordinate. The model under study is based on the mass conservation equations for liquids and the porous skeleton, Darcy's law for liquids, which takes into account the movement of the porous skeleton, the Laplace formula for capillary pressure, the Maxwell-type rheological equation for porosity, and the "system as a whole" equilib

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Solonshchikov, Pavel, Petr Savinykh, Alexey Aleshkin, and Fedor Kipriyanov. "Development of a mathematical model of the process of mixing liquid feed in an experimental setup and optimization of design parameters." E3S Web of Conferences 420 (2023): 09002. http://dx.doi.org/10.1051/e3sconf/202342009002.

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The role of agricultural ecology in current conditions is important in the modern world, as it offers new methods and approaches to the implementation of production processes that should reduce the harmful effects on the environment. The paper outlines the prerequisites for the development of universal mechanization tools for the process of mixing dry and liquid components. The essence of the method is to study the motion of a particle with different design parameters, as well as the physical properties of the medium. The mathematical model of particle motion is built on the basis of theoretic

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Hrudz, V. Ya, V. V. Marushchenko, M. T. Savchuk, and O. O. Filipchuk. "Research of the well efficiency improvement based on mathematical modeling." Scientific Bulletin of Ivano-Frankivsk National Technical University of Oil and Gas, no. 1(44) (May 10, 2018): 57–63. http://dx.doi.org/10.31471/1993-9965-2018-1(44)-57-63.

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The important aspect of oil and gas production complex is stable operation of flooded gas and gas condensate wells.This existing plunger lift designs were analyzed by the authors. The efficiency of plunger lifts in flooded and low-debit wells was determined. The facility for well internal tubing surface cleaning from liquid was developed. Based on mathematical model, the research of well efficiency improvement was performed. Based on calculations, the graphical dependence of the cleaning facility velocity on its position in the well tubing system. It was determined, that increase of liquid spe

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Niyazov, N., N. Dzhamankizov, A. Asanov, and Yu Ismanov. "Fundamentals of the Theory of Power Pulse Device." Bulletin of Science and Practice 7, no. 6 (2021): 113–23. http://dx.doi.org/10.33619/2414-2948/67/16.

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The article discusses a mathematical model of a power impulse device, which allows you to select the characteristics of the ejected liquid jet, such as the velocity at the moment of ejection, the pressure created in the nozzle of the power impulse device, etc., by changing the parameters of the device. A feature of the proposed mathematical model, which significantly distinguishes it from the previously considered models, is that the model was considered for the case of unsteady motion. This state of the medium in a power impulse device is the most characteristic, therefore the results obtaine

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Pylypenko, O. V., O. D. Nikolayev, I. D. Bashliy, and O. M. Zavoloka. "Approach to numerical simulation of the spatial motions of a gas/liquid medium in a space stage propellant tank in microgravity with account for the hot zone." Technical mechanics 2022, no. 4 (2022): 3–13. http://dx.doi.org/10.15407/itm2022.04.003.

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Space propulsion systems ensure multiple startups and shutdowns of the main liquid-propellant rocket engines in microgravity conditions for spacecraft preset motions and reorientation control. During the passive flight of a space stage (after its main engine shutdown), the liquid propellant in the tanks continues moving by inertia in microgravity and moves as far away from the propellant management device as possible. In this case, the pressurization gas is displaced to the propellant management device, which creates the potential danger of the gas entering the engine inlet in quantities unacc

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Maharramov, M. A. "Investigation of thermal conductivity of orange and tangerine juices in non-stationary state." E3S Web of Conferences 254 (2021): 07015. http://dx.doi.org/10.1051/e3sconf/202125407015.

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Thermal conductivity is one of the main thermophysical properties of liquid food products, including fruit and vegetable juices. Known experimental installations measure the thermal conductivity of stationary liquids. This results in significant deviations from the actual numbers. A method of determining the thermal conductivity of a fluid in motion and an experimental installation implementing the proposed method are suggested. The developed experimental installation consists of two coaxial cylinders: internal and external. A gap between cylinders is filled with analysed liquid. The object of

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Malesińska, Agnieszka, Mariusz Rogulski, Pierfabrizio Puntorieri, Giuseppe Barbaro, and Beata Kowalska. "Displacements of the pipe system caused by a transient phenomenon using the dynamic forces measured in the laboratory." Measurement and Control 51, no. 9-10 (2018): 443–52. http://dx.doi.org/10.1177/0020294018799370.

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Background: When transporting liquids, in particularly over long distances, dynamic forces in the system can present a risk. The larger the system size, and the greater the pressure, the more harmful the impact is of such forces. Water is transported in this way for domestic, industrial, and fire-fighting purposes. One of the impulses of dynamic force application may be the transition of the pressure wave in the water hammer. Methods: In this paper, the results of measured dynamic forces and associated displacements recorded on the model caused by transient flow conditions are presented. For m

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Grigoriev, P. S., S. N. Korzhin, Sh R. Ibodulloev, and Phu Thuan Tran. "Mathematical Modelling of Tank Wagon Vibrations Considering Partially Filling of the Tank with Liquid Cargo." World of Transport and Transportation 19, no. 2 (2021): 25–30. http://dx.doi.org/10.30932/1992-3252-2021-19-2-4.

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Mathematical modelling of processes of motion makes it possible to assess the dynamic characteristics of a wagon at the stage of its design. However, it is necessary to consider the type of cargo transported, the movement of which affects the values of these features.The paper considers a mathematical model of an eight-axle railway tank wagon developed using the Lagrange’s equation of the second kind. The considered mathematical model suggests an approach based on the consideration of the influence of the energy of a liquid cargo in a steady state of motion. This influence was considered by ev

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Abduxamidov, Sardor Kaxarboyevich Ibrokhimov Abdulfatto Rakhimjon o'g'li. "MATHEMATICAL MODELING OF LAMINAR SYMMETRICAL FLOW WITH VISCOSITY." EURASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES 2, no. 12 (2022): 9–14. https://doi.org/10.5281/zenodo.7273984.

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Until now, there are many works dedicated to the drastic simplification of the Nave-Stokes equations and finding their particular solutions that are very relevant for practice. These studies have generally been based on either symmetry considerations or dimensionality and dimension theory. In this article, a mathematical model of the motion of an incompressible fluid in a diffusion nozzle was created and numerical results were obtained. For this, the Nave-Stokes equation was reduced to a parabolic equation with Mises substitutions. The radial and axial velocities of the liquid were determined

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Ospina, Manuel Alejandro, and Liliana María Usuga Manco. "Effect of hydrodynamic forces on mineral particles trajectories in gravimetric concentrator type JIG." Revista Politécnica 14, no. 27 (2018): 68–79. http://dx.doi.org/10.33571/rpolitec.v14n27a7.

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Hydrodynamic interaction is a sensitive process for gravity concentration equipment. Because of the nonlinearity and complexity of interaction dynamics due the solid particles and water, reliable mathematical models are needed to perform plant width design (PWD)-oriented tasks. To this end, in this paper we present a study of particle motion in a water oscillating flow subjected to a sinusoidal profile on a jig device, which is a high yield and high recovery gravimetric concentrator device widely used in minerals processing. A mathematical Eulerian-Lagrangian model (ELM) is used where fluid mo

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Wu, W., S. Q. Yang, H. Y. Ren, and X. J. Xie. "Study on motion characteristics of check valve in reciprocating liquid hydrogen pumps." IOP Conference Series: Materials Science and Engineering 1327, no. 1 (2025): 012064. https://doi.org/10.1088/1757-899x/1327/1/012064.

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Abstract In this paper, based on the fluid continuity equation and the mechanical equilibrium equation, a mathematical model of valve motion is established, where the density change due to compressibility of liquid hydrogen is considered in the continuity equation and the cylinder pressure is incorporated into the differential equations as a variable. The impacts of spring stiffness and frequency on valve motion are investigated. The results demonstrate that the spring stiffness mainly affects the valve after opening. In contrast, the frequency directly affects the initial speed of the valve a

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Palchoudhury, Sankar. "Is the mass of celestial bodies, the Sun and the Earth, heavier than previously estimated?" International Journal of Fundamental Physical Sciences 15, no. 1 (2025): 10–13. https://doi.org/10.14331/ijfps.2025.330172.

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This paper explores the influence of a buoyancy-like force within the gravitational field on the orbital and rotational behavior of celestial bodies. Drawing an analogy from fluid mechanics, it is proposed that all matter, when immersed in a gravitational field, experiences a buoyant force similar to that observed in liquids. This gravitational buoyancy may play a significant role in the motion of celestial bodies. Through comparative analysis of orbital parameters involving the Earth, Moon, and Sun, the study suggests that the actual masses of the Earth and the Sun could be greater than curre

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Kabasawa, Nobutoshi, and Yoshiyuki Noda. "Model-Based Flow Rate Control with Online Model Parameters Identification in Automatic Pouring Machine." Robotics 10, no. 1 (2021): 39. http://dx.doi.org/10.3390/robotics10010039.

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In this study, we proposed an advanced control system for tilting-ladle-type automatic pouring machines in the casting industry. Automatic pouring machines have been introduced recently to improve the working environment of the pouring process. In the conventional study on pouring control, it has been confirmed that the pouring flow rate control contributes to improving the accuracy of the entire automatic pouring machine, such as the outflow liquid’s falling position from the ladle, the liquid’s weight filled in the mold, and the sprue cup’s liquid level. However, the conventional control sys

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Li, Sheng Hao, Ao Huang, Yun Tao Qu, Xin Lu, Hua Zhi Gu, and Guang Qiang Li. "Mathematical Simulation and Physical Modeling of Self-Source Magnetization by Liquid Electrolyte Flow." Materials Science Forum 982 (March 2020): 165–72. http://dx.doi.org/10.4028/www.scientific.net/msf.982.165.

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With the increasing requirements for steel quality, the refining conditions are increasing strict. The high-speed movement of molten steel under mechanical or pneumatic agitation can uniform the temperature and composition, and accelerate the collision of the inclusions to eliminate. However, the electromagnetic field has an important influence on the removal of inclusions in steel and the corrosion of refractory materials. The magnetic phenomenon caused by the movement of molten steel needs to be explored. Considering the complexity of high temperature thermal simulation, this work adopted th

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Rodin, Alexandr Sergeevich. "The family of mathematical models to describe the metal conductors motion in an electromagnetic field." Keldysh Institute Preprints, no. 54 (2023): 1–32. http://dx.doi.org/10.20948/prepr-2023-54.

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The modeling of metal conductors acceleration in an electromagnetic field in a two-dimensional approximation is executed. A family of mathematical models for describing the motion of a body is presented: a model of a thermoelastoplastic body (for the case of large deformations), a model of a viscous compressible liquid and a mixed model that includes two previous models for different phase states of matter. A mathematical model of electromagnetic processes is presented, which allows to ensure the flow of total currents along the cross-sections of conductors. Numerical algorithms based on the f

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Yermakov, Serhii, Taras Hutsol, Iryna Mushenyk, Stepan Zamojskij, and Oleksandr Hovorov. "MATHEMATICAL MODEL EQUATION OF THE ENERGY WILLOW CUTTING UNLOADING PROCESS FROM THE SLOT HOPPER AUTOMATED PLANTER." ENVIRONMENT. TECHNOLOGIES. RESOURCES. Proceedings of the International Scientific and Practical Conference 3 (June 22, 2024): 335–41. http://dx.doi.org/10.17770/etr2024vol3.8102.

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This work is a logical continuation of the authors’ cycle of works devoted to construction of a mathematical model of the unloading process of cuttings from a slotted hopper. The purpose of the paper is a theoretical justification of the movement of an array of cuttings during gravity unloading. The article proposes consideration of the process of unloading the energy willow cuttings from the point of view of hydrodynamic multiphase systems. It is suggested to consider the set of cuttings as a pseudo-fluid consisting of two phases: discrete (cuttings) and continuous (air). Each of these phases

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Choi, Sunghak, Woo Il Lee, Gyu Hee Lee, and Yeong-Eun Yoo. "Analysis of the Binding of Analyte-Receptor in a Micro-Fluidic Channel for a Biosensor Based on Brownian Motion." Micromachines 11, no. 6 (2020): 570. http://dx.doi.org/10.3390/mi11060570.

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This study experimentally analyses the binding characteristics of analytes mixed in liquid samples flowing along a micro-channel to the receptor fixed on the wall of the micro-channel to provide design tools and data for a microfluidic-based biosensor. The binding or detection characteristics are analyzed experimentally by counting the number of analytes bound to the receptor, with sample analyte concentration, sample flow rate, and the position of the receptor along the micro-channel length as the main variables. A mathematical model is also proposed to predict the number of analytes transpor

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Shitshatskii, Yu I., A. M. Barbashin, and S. A. Nikel. "Mathematical model of movement of a single spherical lupine particle in the extractor using low-frequency mechanical vibrations." Proceedings of the Voronezh State University of Engineering Technologies 80, no. 2 (2018): 18–22. http://dx.doi.org/10.20914/2310-1202-2018-2-18-22.

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In our case, the solid body is the raw material of plant origin-lupine, crushed into grits, and the extractant is the cheese whey. The turbulent situation in the apparatus was created by the imposition of low-frequency mechanical vibrations, which have a significant impact on the characteristics of hydro-mechanical, mass transfer and thermal processes. This feature must be taken into account in the calculation of the extraction apparatus. The basic assumptions for the solution of the problem are formulated. The equation of motion of a single particle, which is contained in a number of works (S

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Cheng, Jiang, Yuhong Tao, Yong Zhang, et al. "Liquid Flow in Rectangular Microchannels with Gradient Wettability Inner Surface Driven by Capillary Force and Gravity." Advanced Materials Research 233-235 (May 2011): 1152–56. http://dx.doi.org/10.4028/www.scientific.net/amr.233-235.1152.

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A mathematical model for predicting liquid flow velocity in a rectangular microchannel driven by capillary force and gravity is derived. The model takes into account the additional driving force arising from the wettability gradient on inner surface of a microchannel. The results of model prediction show that the velocity of liquid flow decreases with the length of microchannel and the wettability gradient on channel surface will accelerate the motion of the liquid when the flow-front approaches to the end of the microchannel. The analysis of driving force along the moving path matches well wi

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Siddiqui, Md Irfanul Haque, Hassan Alshehri, Jamel Orfi, Masood Ashraf Ali, and Dan Dobrotă. "Computational Fluid Dynamics (CFD) Simulation of Inclusion Motion under Interfacial Tension in a Flash Welding Process." Metals 11, no. 7 (2021): 1073. http://dx.doi.org/10.3390/met11071073.

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Non-metallic inclusions particles are detrimental to the mechanical properties of a material. It is very important to understand the motion behavior of inclusion particles in molten metal. The motion behavior of non-metallic inclusion particles during weld pool solidification and their distribution in joint areas is dependent on various factors. In the alternative current (AC) flash welding process, inclusions motions are dependent on welding plate movement, interfacial tensions, etc. Apart from this, the temperature of the molten metal in the welding zone and the size of inclusion particles a

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Magin, Richard L., and Ervin K. Lenzi. "Fractional Calculus Extension of the Kinetic Theory of Fluids: Molecular Models of Transport within and between Phases." Mathematics 10, no. 24 (2022): 4785. http://dx.doi.org/10.3390/math10244785.

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The application of fractional calculus in the field of kinetic theory begins with questions raised by Bernoulli, Clausius, and Maxwell about the motion of molecules in gases and liquids. Causality, locality, and determinism underly the early work, which led to the development of statistical mechanics by Boltzmann, Gibbs, Enskog, and Chapman. However, memory and nonlocality influence the future course of molecular interactions (e.g., persistence of velocity and inelastic collisions); hence, modifications to the thermodynamic equations of state, the non-equilibrium transport equations, and the d

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Serbes, Sefer Arda, Tahsin Engin, Muaz Kemerli, Egemen Kayrakoğlu, and Ahmet Aydın. "The Fluid Behavior of a Non-Orifice TLCD under Harmonic Excitation: From Experiments to Analytical Solution." Buildings 14, no. 9 (2024): 2782. http://dx.doi.org/10.3390/buildings14092782.

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Tuned liquid column damper (TLCD) is a well-known liquid damper designed to absorb the vibration of structures used in many applications, such as high-story buildings, wind turbines, and offshore platforms, requiring an accurate mathematical determination of the liquid level to model the TLCD structure system motion. The mathematical model of a TLCD is a nonlinear ordinary differential equation, unlike the structure, due to the term containing a viscous damping coefficient, and cannot be solved analytically. In this study, the fluid behavior of a TLCD without an orifice, directly connected to

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