Relevant bibliographies by topics / Mathematical model of motion of liquids

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Mathematical model of motion of liquids'

Author: Grafiati
Published: 28 May 2022
Last updated: 30 July 2025

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

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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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Mathematical model of motion of liquids"

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Медведева, Л. В., та И. А. Панкратов. "Моделирование течений мелкой воды средствами пакета Open-FOAM". Thesis, Сумский государственный университет, 2017. http://essuir.sumdu.edu.ua/handle/123456789/65558.

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В работе рассмотрена математическая модель движения жидкости, полученная путём применения усреднённых по вертикали характеристик (так называемых уравнений мелкой воды). Настоящая работа посвящена численному исследованию нестационарных уравнений мелкой воды.
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Kelekele, Liloo Didier Joel. "Mathematical model of performance measurement of defined contribution pension funds." University of the Western Cape, 2015. http://hdl.handle.net/11394/4367.

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>Magister Scientiae - MSc<br>The industry of pension funds has become one of the drivers of today’s economic activity by its important volume of contribution in the financial market and by creating wealth. The increasing importance that pension funds have acquired in today’s economy and financial market, raises special attention from investors, financial actors and pundits in the sector. Regarding this economic weight of pension funds, a thorough analysis of the performance of different pension funds plans in order to optimise benefits need to be undertaken. The research explores criteria and
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Kang, Joonyun. "Time domain mathematical model for six-degree-of-freedom motion in a wave." Thesis, University of Strathclyde, 2009. http://oleg.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=21999.

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In this thesis a novel controller for providing greater flexibility of operation of wind turbines known as the Power Adjusting Controller (PAC) is presented. The controller takes the form of an augmentation to a wind turbine’s full envelope controller, allowing it to be applied to any horizontal axis, pitch regulated, variable speed wind turbine. Conventional wind turbine control seeks to maximise the power output of a wind turbine whilst minimising the loads on the turbine, controlling on the error in generator speed via demands to the blade pitch actuator and generator torque actuator. The P
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Despain, Lynnae. "A Mathematical Model of Amoeboid Cell Motion as a Continuous-Time Markov Process." BYU ScholarsArchive, 2015. https://scholarsarchive.byu.edu/etd/5671.

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Understanding cell motion facilitates the understanding of many biological processes such as wound healing and cancer growth. Constructing mathematical models that replicate amoeboid cell motion can help us understand and make predictions about real-world cell movement. We review a force-based model of cell motion that considers a cell as a nucleus and several adhesion sites connected to the nucleus by springs. In this model, the cell moves as the adhesion sites attach to and detach from a substrate. This model is then reformulated as a random process that tracks the attachment characteristic
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Londani, Mukhethwa. "Numerical Methods for Mathematical Models on Warrant Pricing." University of the Western Cape, 2010. http://hdl.handle.net/11394/8210.

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>Magister Scientiae - MSc<br>Warrant pricing has become very crucial in the present market scenario. See, for example, M. Hanke and K. Potzelberger, Consistent pricing of warrants and traded options, Review Financial Economics 11(1) (2002) 63-77 where the authors indicate that warrants issuance affects the stock price process of the issuing company. This change in the stock price process leads to subsequent changes in the prices of options written on the issuing company's stocks. Another notable work is W.G. Zhang, W.L. Xiao and C.X. He, Equity warrant pricing model under Fractional Brownian m
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Sood, Gaurav. "Simulation and control of a hip actuated robotic model for the study of human standing posture." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=99794.

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Human stance in quiet mode, relies on feedback from eyes, skin, muscles and the inner ear and the control produced is a combination of strategies which enable a person to stay standing. This thesis presents the simulation and control of a hip actuated robotic model of human standing posture.<br>The first part of the thesis is devoted to recalling basic elements of the human balance system and to describe the balance strategies it uses to maintain an upright stance. Of the strategies presented, we consider the hip strategy which motivated the formulation of a hip actuated robot. An investigatio
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Swartzel, Jeffrey M. "Rolling of an Elliptic-Shaped Particle in Two Dimensions: A Mathematical Model." Akron, OH : University of Akron, 2009. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=akron1240522472.

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Thesis (M.S.)--University of Akron, Dept. of Mathematics, 2009.<br>"May, 2009." Title from electronic thesis title page (viewed 7/28/2009) Advisor, Dmitry Golovaty; Faculty Readers, Gerald Young, Patrick Wilber; Department Chair, Joseph Wilder; Dean of the College, Chand Midha; Dean of the Graduate School, George R. Newkome. Includes bibliographical references.
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Merrifield, Alistair James. "An Investigation Of Mathematical Models For Animal Group Movement, Using Classical And Statistical Approaches." Thesis, The University of Sydney, 2006. http://hdl.handle.net/2123/1132.

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Collective actions of large animal groups result in elaborate behaviour, whose nature can be breathtaking in their complexity. Social organisation is the key to the origin of this behaviour and the mechanisms by which this organisation occurs are of particular interest. In this thesis, these mechanisms of social interactions and their consequences for group-level behaviour are explored. Social interactions amongst individuals are based on simple rules of attraction, alignment and orientation amongst neighbouring individuals. As part of this study, we will be interested in data that takes the
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Merrifield, Alistair James. "An Investigation Of Mathematical Models For Animal Group Movement, Using Classical And Statistical Approaches." University of Sydney, 2006. http://hdl.handle.net/2123/1132.

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Doctor of Philosophy<br>Collective actions of large animal groups result in elaborate behaviour, whose nature can be breathtaking in their complexity. Social organisation is the key to the origin of this behaviour and the mechanisms by which this organisation occurs are of particular interest. In this thesis, these mechanisms of social interactions and their consequences for group-level behaviour are explored. Social interactions amongst individuals are based on simple rules of attraction, alignment and orientation amongst neighbouring individuals. As part of this study, we will be intereste
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Vilches, Karina. "Study of mathematical models of phenotype evolution and motion of cell populations." Thesis, Paris 6, 2014. http://www.theses.fr/2014PA066117/document.

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Cette thèse porte sur deux équations aux dérivées partielles qui modélisent les phénomènes biologiques de l'évolution génétique et mouvement dans l'espace d'une population de cellules. Le premier problème (Partie I, Chapitre 1), il est sur l'évolution phénotypique d'une population de cellules, nous avons réussi à démontrer que la limite asymptotique des solutions de l'équation différentielle partielle proposée est une masse de Dirac. Pour modéliser ce phénomène, nous avons étudié une équation de transport sur le mouvement génétique, y compris des éléments classiques de l'écologie mathématique
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Books on the topic "Mathematical model of motion of liquids"

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Hein, Gumlunter W. A model comparison in vertical crustal motion estimation using leveling data. National Oceanic and Atmospheric Administration, National Ocean Service, Charting and Geodetic Services, 1986.

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Hein, Günter W. A model comparison in vertical crustal motion estimation using leveling data. National Oceanic and Atmospheric Administration, National Ocean Service, Charting and Geodetic Services, 1986.

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Evernden, J. F. Predictive model for important ground motion parameters associated with large and great earthquakes. U.S. Geological Survey, 1988.

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Evernden, J. F. Predictive model for important ground motion parameters associated with large and great earthquakes. U.S. G.P.O., 1988.

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1948-, Randall David A., ed. General circulation model development. Academic Press, 2000.

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P. Th. L. M. van Woerkom. Flexible robotic manipulator in space: Towards a mathematical dynamics truth model. National Aerospace Laboratory, 1987.

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Larson, Magnus. NMLONG: Numerical model for simulating longshore current. US Army Corps of Engineers, Engineer Research and Development Center, Coastal and Hydraulics Laboratory, 2002.

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S, Tripp John, Finley Tom D, and Langley Research Center, eds. Effects of yaw and pitch motion on model attitude measurements. National Aeronautics and Space Administration, Langley Research Center, 1995.

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Zdunich, Patrick. A discrete vortex model of unsteady separated flow about a thin airfoil for application to hovering flapping-wing flight. National Library of Canada, 2002.

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Zdunich, Patrick. A discrete vortex model of unsteady separated flow about a thin airfoil for application to hovering flapping-wing flight. University of Toronto, Institute for Aerospace Studies, 2002.

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Book chapters on the topic "Mathematical model of motion of liquids"

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Petters, Arlie O., and Xiaoying Dong. "Stochastic Calculus and Geometric Brownian Motion Model." In An Introduction to Mathematical Finance with Applications. Springer New York, 2016. http://dx.doi.org/10.1007/978-1-4939-3783-7_6.

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Ardelean, I. "Mathematical Model for Two Degree of Freedom Motion." In SYROM 2009. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-3522-6_6.

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Rabinovich, Boris I., Valeryi G. Lebedev, and Alexander I. Mytarev. "Experimental Verification of Mathematical Models for Eddy Currents and Vortex Motions of Liquid." In Vortex Processes and Solid Body Dynamics. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1038-9_5.

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Jezierski, Edward, and Piotr Ostalczyk. "Fractional-order Mathematical Model of Pneumatic Muscle Drive for Robotic Applications." In Robot Motion and Control 2009. Springer London, 2009. http://dx.doi.org/10.1007/978-1-84882-985-5_11.

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Ahmed, Yassen Adnan. "Mathematical Model of the Manoeuvring Motion of a Ship." In Engineering Applications for New Materials and Technologies. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72697-7_45.

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Penrose, Oliver, and J. W. Cahn. "A Mathematical Model for Diffusion-induced Grain Boundary Motion." In Free Boundary Problems. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-7893-7_19.

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Bedrikovetsky, Pavel, and Gren Rowan. "One-Dimensional Motion of a Two-Phase System of Immiscible Liquids in a Porous Medium." In Mathematical Theory of Oil and Gas Recovery. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-017-2205-6_1.

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Souffrin, Pierre. "Motion on inclined planes and liquids in Galileo's earlier De Motu." In Medieval and Classical Traditions and the Renaissance of Physico-Mathematical Sciences in the 16th Century. Brepols Publishers, 2001. http://dx.doi.org/10.1484/m.dda-eb.5.113577.

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Simniceanu, Loreta, Victor Otat, Trotea Mario, and Mihaela Bogdan. "The Simulation of the Vehicle Motion Based on Generalized Mathematical Model of Vehicle Motion." In Proceedings of the European Automotive Congress EAEC-ESFA 2015. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-27276-4_69.

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Khlevna, Iulia, and Dmytro Zhovtukhin. "Using Image Segmentation Neural Network Model for Motion Representation in Sport Analytics." In Mathematical Modeling and Simulation of Systems. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-89902-8_27.

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Conference papers on the topic "Mathematical model of motion of liquids"

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Okubo, Takuro, Ryuichi Ohara, and Makoto Fujino. "OCT angiography model eye by use of the Brownian motion without flowing liquids." In Optical Coherence Tomography and Coherence Domain Optical Methods in Biomedicine XXIX, edited by Rainer A. Leitgeb and Yoshiaki Yasuno. SPIE, 2025. https://doi.org/10.1117/12.3045689.

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Tsakonas, Panagiotis, Neil D. Evans, Joseph Hardwicke, and Michael J. Chappell. "Estimating model parameters of a mathematical model for hand motion during cylindrical grasps." In 2024 46th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC). IEEE, 2024. https://doi.org/10.1109/embc53108.2024.10782474.

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Sitthidetchtamroung, Narawadee, and Anintaya Khamkanya. "Mathematical Model Development for AI Gesture Classification in Industrial Motion and Time Study." In 2024 8th International Conference on Information Technology (InCIT). IEEE, 2024. https://doi.org/10.1109/incit63192.2024.10810546.

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Wang, Yilin, Lin Xu, Mingxuan Li, Hao Chen, Zhuo Cheng, and Qiang Xie. "Mathematical Model and Simulink Simulation Method of Rigid Body Motion of Quadcopter UAV." In 2024 IEEE 2nd International Conference on Electrical, Automation and Computer Engineering (ICEACE). IEEE, 2024. https://doi.org/10.1109/iceace63551.2024.10898651.

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de Freitas Rachid, Felipe Bastos. "The Influence of Pipe Motion on the Integrity of Liquid-Filled Pipes Subjected to Pressure Transients." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71115.

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This work presents a structural itegrity 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 non-linear partial differential equations which is solved by means of an operator splitting technique, combined with a Glimm’s method. Numerical results obtained indicate that high piping flexibility may introduce a substantial increas
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Abramova, Olga A., Yulia A. Itkulova, and Nail A. Gumerov. "FMM/GPU Accelerated BEM Simulations of Emulsion Flow in Microchannels." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-63193.

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Modeling of motion of two-phase liquids in microchannels of different shape is needed for a variety of industrial applications, such as enhanced oil recovery, advanced material processing, and biotechnology. Development of efficient computational techniques is required for understanding the mechanisms of many effects in “liquid-liquid” systems, such as the jamming of emulsion flows in microchannels and blood cell motion in capillaries. In the present study, a mathematical model of a three-dimensional flow of a mixture of two Newtonian liquids of a droplet structure in microchannels at low Reyn
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Nazmeev, Yuri G. "Mathematical Model and Calculation Method of Thermodynamic Characteristics in the Flow of Chemically Reactive and Inert Rheologically Complex Media." In ASME 1996 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/imece1996-0234.

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Abstract The paper presents a mathematical model and a method of calculation of diskrete values of thermodynamic characteristics in a flow of Theologically complex liquids. Our approach is based on the solution of a conjugate set of non-linear differetial equations in therms of partial derivatives of a second order. The mathematical model comprises: a set of equations of motion and continuity; a set of equations of heat and mass transfer a rheological equation of medium state; a macrokinetic model of chemical reaction; the residence time function and the molecular-mass distribution obtained wi
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Chandra, Sharat, and Liming Dai. "Characteristics and Applicability of a Newly Developed Numerical Scheme for Simulating Liquid Sloshing in a Moving Tank." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13322.

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A novel mathematical model for analyzing the dynamic property of the liquid motion is developed. The work in this paper assesses and further develops the mathematical model formulated especially for analyzing the liquid motion in horizontal cylindrical tanks. The present research talks about the liquid sloshing and the cyclic forces produced as a result of it. These forces which are cyclic in nature degrade the structure of a tank vehicle transporting liquid cargo. The validation of the proposed model is performed by an effective Eulerian fixed grid technique, which implements the Volume of Fl
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Liu, Zhanwei, and Hanliang Bo. "Eulerian Grid Approximation Algorithm of Droplet Motion in Gravity Field." In 2022 29th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/icone29-91421.

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Abstract Accurate and efficient gas-liquid two-phase flow simulation is of great significance to energy, chemical industry, aerospace, environment and other fields. Although the Euler-Lagrange method can accurately simulate the motion of droplets, its computational complexity increases significantly with the number of droplets, thus it’s difficult to be applied to practical applications. Therefore, based on the explanation of the physical mechanism of the droplet movement in the steam-water separation device, combined with the Euler-Lagrange model, the Euler grid approximation model is establi
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Mat, Mahmut D., Yüksel Kaplan, and Olusegun J. Ilegbusi. "Application of a Bubble-Induced Turbulence Model to Subcooled Boiling in a Vertical Pipe." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-1253.

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Abstract Subcooled boiling of water in a vertical pipe is numerically investigated. The mathematical model involves solution of transport equations for vapor and liquid phase separately. Turbulence model considers the turbulence production and dissipation by the motion of the bubbles. The radial and axial void fractions, temperature and velocity profiles in the pipe are calculated. The estimated results are compared to experimental data available in the literature. It is found that while present study satisfactorily agrees with experimental data in the literature, it improves the prediction at
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