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Статті в журналах з теми "Viscous flow Mathematical models"

Автор: Grafiati

Опубліковано: 4 червня 2021

Оновлено: 11 лютого 2022

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1

Masuko, Akira, Yasushi Shirose, Yasunori Ando, and Masafumi Kawai. "Numerical Simulation of Viscous Flow around a Series of Mathematical Ship Models." Journal of the Society of Naval Architects of Japan 1987, no. 162 (1987): 1–10. http://dx.doi.org/10.2534/jjasnaoe1968.1987.162_1.

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2

Toxopeus, Serge L. "Deriving mathematical manoeuvring models for bare ship hulls using viscous flow calculations." Journal of Marine Science and Technology 14, no. 1 (July 23, 2008): 30–38. http://dx.doi.org/10.1007/s00773-008-0002-9.

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3

Aripov, M. M., J. SH Rajabov, and SH R. Settiev. "About one of the mathematical models of viscous flow incompressible fluid above sandy bottom." Journal of Physics: Conference Series 1902, no. 1 (May 1, 2021): 012001. http://dx.doi.org/10.1088/1742-6596/1902/1/012001.

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4

Howell, P. D. "Models for thin viscous sheets." European Journal of Applied Mathematics 7, no. 4 (August 1996): 321–43. http://dx.doi.org/10.1017/s0956792500002400.

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Анотація:

Leading-order equations governing the dynamics of a two-dimensional thin viscous sheet are derived. The inclusion of inertia effects is found to result in an ill-posed model when the sheet is compressed, and the resulting paradox is resolved by rescaling the equations over new length-and timescales which depend on the Reynolds number of the flow and the aspect ratio of the sheet. Physically this implies a dominant lengthscale for transverse displacements during viscous buckling. The theory is generalized to give new models for fully three-dimensional sheets.

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5

PATEL, L. K., and LAKSHMI S. DESAI. "PLANE SYMMETRIC VISCOUS-FLUID COSMOLOGICAL MODELS WITH HEAT FLUX." International Journal of Modern Physics D 03, no. 03 (September 1994): 639–45. http://dx.doi.org/10.1142/s0218271894000770.

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A class of nonstatic inhomogeneous plane-symmetric solutions of Einstein field equations is obtained. The source for these solutions is a viscous fluid with heat flow. The fluid flow is irrotational and it has nonzero expansion, shear and acceleration. All these solutions have a big-bang singularity. The matter-free limit of the solutions is the well-known Kasner vacuum solution. Some physical features of the solutions are briefly discussed.

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6

Krusteva, Ekaterina D., Stefan Y. Radoslavov, and Zdravko I. Diankov. "Modelling the Seepage of Groundwater: Application of the Viscous Analogy and Numerical Methods." Applied Rheology 9, no. 4 (August 1, 1999): 165–71. http://dx.doi.org/10.1515/arh-2009-0012.

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Abstract The application of the viscous analogy, known as the Hele-Show model, for seepage investigation is demonstrated in the paper. The changes in the viscous properties of the model fluid (glycerine) resulting from the changes of the atmospheric conditions - temperature and humidity, have been taken under consideration as factors influencing the flow discharge in the model. A method has been substantiated for the exact quantitative comparison of discharges obtained under different boundary conditions of the seepage process using parallel rheological measurements of the model fluid. The res

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7

Nazarov, Serdar, Muhammetberdi Rakhimov, and Gurbanyaz Khekimov. "Linearization of the Navier-Stokes equations." E3S Web of Conferences 216 (2020): 01060. http://dx.doi.org/10.1051/e3sconf/202021601060.

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This paper studies mathematical models of the heat transfer process of a viscous incompressible fluid. Optimal control methods are used to solve the problem of optimal modeling. Questions of linearization of the Navier-Stokes equation for a plane fluid flow are considered. The optimal modes (optimal functional dependencies) of the pump and heating device are found depending on the fluid flow rate.

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8

Ali, Azhar, Dil Nawaz Khan Marwat, and Saleem Asghar. "Viscous flow over a stretching (shrinking) and porous cylinder of non-uniform radius." Advances in Mechanical Engineering 11, no. 9 (September 2019): 168781401987984. http://dx.doi.org/10.1177/1687814019879842.

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The classical models of viscous flows and heat transfer are reformulated in this article. The physical problem describes flow and heat transfer over a stretching (shrinking) and porous cylinder of non-uniform radius. The mathematical model is presented in the form of new equations and dimensionless parameters by means of reframing techniques. A porous and heated cylinder of a non-uniform diameter is stretched (shrunk) with variable stretching (shrinking) velocities. The governing equations and their physical geometrical perspectives are summarized into simplest boundary value ordinary differen

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9

Nazarov, Serdar, Muhammetberdi Rakhimov, and Gurbanyaz Khekimov. "Optimal modeling of the heat transfer of a viscous incompressible liquid." E3S Web of Conferences 216 (2020): 01059. http://dx.doi.org/10.1051/e3sconf/202021601059.

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Анотація:

This paper discusses mathematical models of the heat transfer process of a viscous incompressible fluid. Optimal control methods are used to solve the problem of optimal modeling. Questions of linearization of the Navier - Stokes equation are considered. The optimal modes (optimal functional dependencies) of the pump and heating device are found depending on the fluid flow rate.

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10

Socolowsky, Jürgen. "On the Nusselt Solution of a Nonisothermal Two-Fluid Inclined Film Flow." International Journal of Mathematics and Mathematical Sciences 2009 (2009): 1–8. http://dx.doi.org/10.1155/2009/981983.

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Nonisothermal viscous two-fluid flows occur in numerous kinds of coating devices. The corresponding mathematical models often represent two-dimensional free boundary value problems for the Navier-Stokes equations or their modifications. In the present paper we are concerned with a particular problem of coupled heat and mass transfer. Marangoni convection is incorporated, too. The solvability of a corresponding stationary problem is discussed. The obtained results generalize previous results for a similar isothermal problem.

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11

Xie, Fangwei, Diancheng Wu, Yaowen Tong, Bing Zhang, and Jie Zhu. "Effects of structural parameters of oil groove on transmission characteristics of hydro-viscous clutch based on viscosity-temperature property of oil film." Industrial Lubrication and Tribology 69, no. 5 (September 4, 2017): 690–700. http://dx.doi.org/10.1108/ilt-12-2015-0207.

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Purpose The purpose of this paper is to study the influence of structural parameters of oil groove (such as central angle number, depth and so on) on pressure, flow, load capacity and transmitted torque between friction pairs of hydro-viscous clutch. Design/methodology/approach According to the working process of friction pairs of hydro-viscous clutch, mathematical models of hydrodynamic load capacity and torque transmitted by the oil film were built based on viscosity-temperature property. Then analytical solutions of pressure, flow, load capacity and transmitted torque were obtained; effects

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12

CHAI, ZHEN-HUA, BAO-CHANG SHI, and LIN ZHENG. "LATTICE BOLTZMANN SIMULATION OF VISCOUS DISSIPATION IN ELECTRO-OSMOTIC FLOW IN MICROCHANNELS." International Journal of Modern Physics C 18, no. 07 (July 2007): 1119–31. http://dx.doi.org/10.1142/s0129183107011200.

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In this paper, the effects of viscous dissipation in electro-osmotic flow in microchannels are numerically analyzed with lattice Boltzmann method (LBM), and three different lattice Boltzmann models that can recover the macroscopic governing equations for electro-osmotic flow (EOF) are proposed. As the dimensions of the channels approach the microlevel, viscous dissipation could be significant due to a high velocity gradient in electric double layer (EDL). Numerical results show that viscous dissipation plays an important role in EOF in microchannels.

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13

Dorodnitsyn, L. V. "Acoustics in viscous subsonic flow models with nonreflecting boundary conditions." Computational Mathematics and Modeling 11, no. 4 (October 2000): 356–76. http://dx.doi.org/10.1007/bf02359300.

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14

Zhang, Guoping, and Mingchao Cai. "Normal mode analysis of 3D incompressible viscous fluid flow models." Applicable Analysis 100, no. 1 (March 25, 2019): 116–34. http://dx.doi.org/10.1080/00036811.2019.1594201.

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15

Zhang, Bo-ning, Xiao-gang Li, Yu-long Zhao, Cheng Chang, and Jian Zheng. "A Review of Gas Flow and Its Mathematical Models in Shale Gas Reservoirs." Geofluids 2020 (November 30, 2020): 1–19. http://dx.doi.org/10.1155/2020/8877777.

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Анотація:

The application of horizontal wells with multistage hydraulic fracturing technologies has made the development of shale gas reservoirs become a worldwide economical hotspot in recent years. The gas transport mechanisms in shale gas reservoirs are complicated, due to the multiple types of pores with complex pore structure and special process of gas accumulation and transport. Although there have been many attempts to come up with a suitable and practical mathematical model to characterize the shale gas flow process, no unified model has yet been accepted by academia. In this paper, a comprehens

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16

Lei, Chen, Gao Junjie, Liu Gang, Zhai Keping, Zhang Yuyu, and Gao Jingyang. "Prediction of pipeline restart using different rheological models of gelled crude oil." Applied Rheology 29, no. 1 (January 1, 2019): 182–95. http://dx.doi.org/10.1515/arh-2019-0016.

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Abstract Shutdown of a waxy crude oil pipeline is unavoidable due to maintenance or emergency. It is critical to select the rheological models of gelled crude oil when investigating the pipeline restart process. Three crude oil rheological models are summarized based on previous researches in this paper, which are the viscoelastic model of a viscous type (Model 1), viscoelastic model of an elastic type (Model 2), and pure viscous thixotropic model without yield stress (Model 3). The same rheological data was fitted by the three models respectively. The critical state that pipeline can restart

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17

Li, Xi Bing, Shi Gang Wang, Jian Hua Guo, and Dong Sheng Li. "A Mathematical Modeling Method on Micro Heat Pipe with a Trapezium-Grooved Wick Structure." Applied Mechanics and Materials 29-32 (August 2010): 1686–94. http://dx.doi.org/10.4028/www.scientific.net/amm.29-32.1686.

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With heat flux increasing and cooling space decreasing in the products in microelectronics and chemical engineering, micro heat pipe has become an ideal heat radiator for products with high heat flux. Through analyzing the factors influencing the structure, strength and heat transfer limits of circular micro heat pipe with trapezium-grooved wick structure, the heat transfer models are established in this paper, including the models of viscous limit, sonic limit, entrainment limit, capillary limit, condensing limit, boiling limit, continuous flow limit and frozen startup limit. The study lays a

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18

Ayata, Muammer, and Ozan Özkan. "A new approach to mathematical models of Drinfeld-Sokolov-Wilson and coupled viscous Burgers’ equations in water flow." Physica Scripta 96, no. 9 (June 7, 2021): 095207. http://dx.doi.org/10.1088/1402-4896/ac05f4.

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19

Hamdan, M. H., and R. A. Ford. "Single-phase flow through porous channels part II: Flow models, critical length, and viscous separation." Applied Mathematics and Computation 69, no. 2-3 (May 1995): 241–54. http://dx.doi.org/10.1016/0096-3003(94)00132-n.

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20

Camassa, Roberto, and H. Reed Ogrosky. "On viscous film flows coating the interior of a tube: thin-film and long-wave models." Journal of Fluid Mechanics 772 (May 7, 2015): 569–99. http://dx.doi.org/10.1017/jfm.2015.221.

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A theoretical and numerical investigation of two classes of models for pressure-driven core–annular flow is presented. Both classes, referred to as ‘long-wave’ and ‘thin-film’ models, may be derived from a unified perspective using long-wave asymptotics, but are distinct from one another in the role played by the curved tube geometry with respect to the planar (limiting) case. Analytical and numerical techniques are used to show and quantify the significant differences between the behaviour of solutions to both model types. Temporal linear stability analysis of the constant solution is carried

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21

WANG, Y., Y. L. HE, Q. LI, G. H. TANG, and W. Q. TAO. "LATTICE BOLTZMANN MODEL FOR SIMULATING VISCOUS COMPRESSIBLE FLOWS." International Journal of Modern Physics C 21, no. 03 (March 2010): 383–407. http://dx.doi.org/10.1142/s0129183110015178.

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A lattice Boltzmann model is developed for viscous compressible flows with flexible specific-heat ratio and Prandtl number. Unlike the Maxwellian distribution function or circle function used in the existing lattice Boltzmann models, a polynomial kernel function in the phase space is introduced to recover the Navier–Stokes–Fourier equations. A discrete equilibrium density distribution function and a discrete equilibrium total energy distribution function are obtained from the discretization of the polynomial kernel function with Lagrangian interpolation. The equilibrium distribution functions

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22

Суровежко, А. С., and С. И. Мартыненко. "On optimization of technical devices based on a hierarchy of mathematical models." Numerical Methods and Programming (Vychislitel'nye Metody i Programmirovanie), no. 4 (September 10, 2019): 411–27. http://dx.doi.org/10.26089/nummet.v20r436.

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Рассмотрена задача о топливном коллекторе, которую можно отнести к обратным задачам гидродинамики: необходимо определить геометрию распределительного канала коллектора, обеспечивающего равномерную раздачу топлива. Однако профилирование коллектора на основе 3D стационарных уравнений Навье-Стокса для турбулентного течения несжимаемой вязкой среды в шероховатых каналах требует непрактичных вычислительных усилий. Использована иерархия математических моделей: 1D уравнения Навье-Стокса для профилирования и 3D уравнения Навье-Стокса для калибровки 1D модели. Показано, что используемая иерархия моделе

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23

Perkins, Greg. "Mathematical modelling of in situ combustion and gasification." Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy 232, no. 1 (August 2, 2017): 56–73. http://dx.doi.org/10.1177/0957650917721595.

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The total worldwide resources of oil sands, heavy oil, oil shale and coal far exceed those of conventional light oil. In situ combustion and gasification are techniques that can potentially recover the energy from these unconventional hydrocarbon resources. In situ combustion can be used to produce oil, especially viscous and immobile crudes, by heating the oil and reducing the viscosity of the hydrocarbon liquids allowing them to flow to production wells. In situ gasification can be used to convert deep carbonaceous materials into synthesis gas which can be used at surface for power generatio

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24

Bayly, P. V., and S. K. Dutcher. "Steady dynein forces induce flutter instability and propagating waves in mathematical models of flagella." Journal of The Royal Society Interface 13, no. 123 (October 2016): 20160523. http://dx.doi.org/10.1098/rsif.2016.0523.

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Cilia and flagella are highly conserved organelles that beat rhythmically with propulsive, oscillatory waveforms. The mechanism that produces these autonomous oscillations remains a mystery. It is widely believed that dynein activity must be dynamically regulated (switched on and off, or modulated) on opposite sides of the axoneme to produce oscillations. A variety of regulation mechanisms have been proposed based on feedback from mechanical deformation to dynein force. In this paper, we show that a much simpler interaction between dynein and the passive components of the axoneme can produce c

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25

Zhurba Eremeeva, I. A., D. Scerrato, C. Cardillo, and A. Tran. "A MATHEMATICAL MODEL OF NONSTATIONARY MOTION OF A VISCOELASTIC FLUID IN ROLLER BEARINGS." Problems of strenght and plasticity 81, no. 4 (2019): 500–511. http://dx.doi.org/10.32326/1814-9146-2019-81-4-500-511.

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Nowadays, the emergence of new lubricants requires an enhancement of the rheological models and methods used for solution of corresponding initial boundary-value problems. In particular, models that take into account viscoelastic properties are of great interest. In the present paper we consider the mathematical model of nonstationary motion of a viscoelastic fluid in roller bearings. We used the Maxwell fluid model for the modeling of fluid properties. The viscoelastic properties are exhibited by many lubricants that use polymer additives. In addition, viscoelastic properties can be essential

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26

Zhurba Eremeeva, I. A., D. Scerrato, C. Cardillo, and A. Tran. "A MATHEMATICAL MODEL OF NONSTATIONARY MOTION OF A VISCOELASTIC FLUID IN ROLLER BEARINGS." Problems of strenght and plasticity 81, no. 4 (2019): 501–12. http://dx.doi.org/10.32326/1814-9146-2019-81-4-501-512.

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Анотація:

Nowadays, the emergence of new lubricants requires an enhancement of the rheological models and methods used for solution of corresponding initial boundary-value problems. In particular, models that take into account viscoelastic properties are of great interest. In the present paper we consider the mathematical model of nonstationary motion of a viscoelastic fluid in roller bearings. We used the Maxwell fluid model for the modeling of fluid properties. The viscoelastic properties are exhibited by many lubricants that use polymer additives. In addition, viscoelastic properties can be essential

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27

Průša, Vít, and K. R. Rajagopal. "Implicit Type Constitutive Relations for Elastic Solids and Their Use in the Development of Mathematical Models for Viscoelastic Fluids." Fluids 6, no. 3 (March 22, 2021): 131. http://dx.doi.org/10.3390/fluids6030131.

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Viscoelastic fluids are non-Newtonian fluids that exhibit both “viscous” and “elastic” characteristics in virtue of the mechanisms used to store energy and produce entropy. Usually, the energy storage properties of such fluids are modeled using the same concepts as in the classical theory of nonlinear solids. Recently, new models for elastic solids have been successfully developed by appealing to implicit constitutive relations, and these new models offer a different perspective to the old topic of the elastic response of materials. In particular, a sub-class of implicit constitutive relations

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28

Reddy, Kattamreddy Venugopal, Machireddy Gnaneswara Reddy, and Oluwole Daniel Makinde. "Heat and Mass Transfer of a Peristaltic Electro-osmotic Flow of a Couple Stress Fluid through an Inclined Asymmetric Channel with Effects of Thermal Radiation and Chemical Reaction." Periodica Polytechnica Mechanical Engineering 65, no. 2 (March 16, 2021): 151–62. http://dx.doi.org/10.3311/ppme.16760.

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The presented article addresses the electro-osmotic peristaltic flow of a couple stress fluid bounded in an inclined asymmetric micro-channel. The viscous dissipation, Joule heating and chemical reaction effects are employed simultaneously in the flow analysis. Heat and mass transfer have been studied under large wavelength and small Reynolds number. The resulting nonlinear systems are solved numerically. The influence of various dominant physical parameters is discussed for velocity, temperature distribution, concentration distribution and the pumping characteristics. Electro kinetic flow of

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29

Zhong, Huiying, Weidong Zhang, Hongjun Yin, and Haoyang Liu. "Study on Mechanism of Viscoelastic Polymer Transient Flow in Porous Media." Geofluids 2017 (2017): 1–8. http://dx.doi.org/10.1155/2017/8763951.

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Oil recovery, including conventional and viscous oil, can be improved significantly by flooding with polymer solutions. This chemical flooding method can increase oil production, and it can improve the macrodisplacement efficiency and microsweep efficiencies. In this study, we establish physical models that include the dead-end and complex models based on the pore-network pattern etched into glass, using the snappyHexMesh solver in OpenFOAM. These models capture the complexity and topology of porous media geometry. We establish a mathematical model for transient flows of viscoelastic polymers

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30

Du, Dong Xing, Fa Hu Zhang, Dian Cai Geng, and Ying Ge Li. "Numerical Study on Film Foam Flow Characteristics in a Straight Duct." Key Engineering Materials 561 (July 2013): 472–77. http://dx.doi.org/10.4028/www.scientific.net/kem.561.472.

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Straight ducts capture some essential features of the motion of foam in porous media in petroleum industry. In this paper, Surface Evolver was employed to build the mathematical model to study the flow behavior of lamellas in the duct with different models. Numerical results show good agreement with experiments and some important features of lamella flow behavior in straight ducts are obtained. It is concluded that, the physical model with viscous force can adequately describe the flow characteristics of reality foam in the experiment. The actual pressure difference consists of the pressure di

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31

Tai, Chang-Hsien, Yuh-Long Tian, and Jtm-Lun Liou. "High-resolution upwind viscous flow solver on SOCBT configuration with turbulence models." Finite Elements in Analysis and Design 18, no. 1-3 (December 1994): 237–57. http://dx.doi.org/10.1016/0168-874x(94)90105-8.

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32

Deng, Wubing, and Igor B. Morozov. "Solid viscosity of fluid-saturated porous rock with squirt flows at seismic frequencies." GEOPHYSICS 81, no. 4 (July 2016): D395—D404. http://dx.doi.org/10.1190/geo2015-0406.1.

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Анотація:

We have developed a macroscopic model for a two-phase medium (solid porous rock frame plus saturating pore fluid) with squirt flows based on Lagrangian continuum mechanics. The model focuses on improved physics of rock deformation, including explicit differential equations in time domain, causality, linearity, frequency-independent parameters with clear physical meanings, and an absence of mathematical internal or memory variables. The approach shows that all existing squirt-flow models can be viewed as microscopic models of viscosity for solid rock. As in existing models, the pore space is di

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33

Hu, Yumeng, Haiming Huang, and Zimao Zhang. "Numerical simulation of a hypersonic flow past a blunt body." International Journal of Numerical Methods for Heat & Fluid Flow 27, no. 6 (June 5, 2017): 1351–64. http://dx.doi.org/10.1108/hff-05-2016-0187.

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Анотація:

Purpose The purpose of this paper is to explore the characteristics of hypersonic flow past a blunt body. Design/methodology/approach The implicit finite volume schemes are derived from axisymmetric Navier–Stokes equations by means of AUSM+ and LU-SGS methods, and programmed in FORTRAN. Based on the verified result that a 2D axisymmetric chemical equilibrium flow has a good agreement with the literature, the characteristics of hypersonic flow past a sphere are simulated by using four different models which involve four factors, namely, viscous, inviscid, equilibrium and calorically perfect gas

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34

Wang, Da Zheng, Dan Wang, Lei Mei, and Wei Chao Shi. "The Hydrodynamic Analysis of Propeller Based on ANSYS-CFX." Advanced Materials Research 694-697 (May 2013): 673–77. http://dx.doi.org/10.4028/www.scientific.net/amr.694-697.673.

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In this paper, the open water performance of a pod propeller in the viscous flow fields is numerically simulated by the Computational Fluid Dynamics (CFD) method. Based on the coordinate transformation formula for transforming the local to the global coordinate, mathematical model of a propeller is created. Thrust and torque coefficients corresponding to different advance coefficients of the model are calculated by ANSYS-CFX with three different turbulence models. The pressure distributions on the blade surface are also presented. Comparisons show that experimental results and numerical result

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35

Fiorot, G. H., G. F. Maciel, and C. Kitano. "MATHEMATICAL MODEL AND EXPERIMENTAL PROCEEDINGS TO DETERMINE ROLL WAVES IN OPEN CHANNELS." Revista de Engenharia Térmica 10, no. 1-2 (December 31, 2011): 55. http://dx.doi.org/10.5380/reterm.v10i1-2.61953.

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Анотація:

The goal of this paper is consolidate a representative model previously developed by RMVP team (Rheological Studies on Viscous and Viscousplastic Materials) from UNESP - Ilha Solteira, for a typical phenomenonthat occurs on spillways, river's bed, landslides, mudflows, blood flows, for Newtonian and non-Newtonian fluids, known as roll waves. Another goal of this paper is present an experimental project designed for capturing measurements (amplitude and wavelength) of these instabilities. From a mathematical perspective, a first-order analytical model is showed, based on Cauchy's equations syst

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36

Strzelecki, Tomasz, and Michał Strzelecki. "Relation Between Filtration and Soil Consolidation Theories." Studia Geotechnica et Mechanica 37, no. 1 (March 1, 2015): 105–14. http://dx.doi.org/10.1515/sgem-2015-0012.

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Abstract This paper presents a different, than commonly used, form of equations describing the filtration of a viscous compressible fluid through a porous medium in isothermal conditions. This mathematical model is compared with the liquid flow equations used in the theory of consolidation. It is shown that the current commonly used filtration model representation significantly differs from the filtration process representation in Biot’s and Terzaghi’s soil consolidation models, which has a bearing on the use of the methods of determining the filtration coefficient on the basis of oedometer te

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37

Hunt, Barry. "Knowledge-Based Nonlinear Boundary Integral Models of Compressible Viscous Flows Over Arbitrary Bodies: Taking CFD Back to Basics." Applied Mechanics Reviews 44, no. 11S (November 1, 1991): S130—S142. http://dx.doi.org/10.1115/1.3121345.

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The paper starts with a discussion of a knowledge-based CFD methodology. A new incompressible formulation known as SAVER is first introduced, employing a novel relaxation approach. This is then generalized through a modification of the boundary conditions to the GENESIS methodology, for analysis or design in compressible, rotational flow. A discussion is presented of how the basic causal nature of integral methods offers new insights into certain flow phenomena, such as shocks and separations, and facilitates aerodynamic sensitivity analysis. The paper presents a new class of vector fields app

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38

Centeno, R., K. S. Varyani, and C. Guedes Soares. "Experimental Study on the Influence of Hull Spacing on Hard-Chine Catamaran Motions." Journal of Ship Research 45, no. 03 (September 1, 2001): 216–27. http://dx.doi.org/10.5957/jsr.2001.45.3.216.

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An experimental program was performed with hard-chine catamaran models in regular waves. The distance between the demi-hulls of the models was changed to assess its effects on the wave-induced motions. The results allowed the study of some aspects related to catamaran motions, like the interference between the hulls and resonance frequencies. The experimental results are compared with calculations performed with a recently developed code based on a two-dimensional potential flow theory in which viscous forces are included through a cross-flow drag approach. The effect of the hull distance in t

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39

TIAN, ZHI-WEI, CHUN ZOU, H. J. LIU, Z. H. LIU, Z. L. GUO, and C. G. ZHENG. "THERMAL LATTICE BOLTZMANN MODEL WITH VISCOUS HEAT DISSIPATION IN THE INCOMPRESSIBLE LIMIT." International Journal of Modern Physics C 17, no. 08 (August 2006): 1131–39. http://dx.doi.org/10.1142/s0129183106009631.

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A novel thermal lattice Boltzmann (LB) model is proposed to obtain the viscous heat term expediently. Unlike the existing thermal LB models, this model is entirely based on the framework of the LB method and directly derived from the macro temperature equation. Moreover, the computation cost decreases because the computation of complicated material derivative term has been avoided successfully. To testify the simulation capability of this model, the thermal Couette flow is simulated and the results indicate agreement with the analytical solutions.

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40

Shchuryk, Volodymyr, Leonid Serilko, Leonid Voitovych, and Zoia Sasiuk. "MATHEMATICAL MODEL OF DYNAMICS OF CENTRIFUGE FOR FORMATION OF CONCRETE TUBULAR PRODUCTS." Vibrations in engineering and technology, no. 4(95) (November 20, 2019): 72–79. http://dx.doi.org/10.37128/2306-8744-2019-4-9.

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The paper presents an advanced complex mathematical model of centrifuge dynamics for the formation of tubular products made of concrete or any other plastic and viscous confining mixtures. In the two-dimensional (plane) formulation of the problem, the studied mechanical system consists of a framework form (hollow rotor) with a partial confining filling, its elastic-damping suspension and power drive. It is assumed that the rotor is rigid, of correct design, has a certain static imbalance and can be both horizontal and vertical. The used filling is a concrete or some other mixture as a quasi-ho

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41

Astafiev, V. I., M. G. Kakhidze, V. I. Popkov, and A. V. Popkova. "MULTI-SCALE STRESS-DEFORMATION STATUS OF POROUS GEOLOGICAL STRUCTURE AS RELATED TO WELL FILTRATION FLOWS." Vestnik of Samara University. Natural Science Series 19, no. 9.2 (June 6, 2017): 153–69. http://dx.doi.org/10.18287/2541-7525-2013-19-9.2-153-169.

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Mono-harmonic junction in the interaction of porous space rock stress in oil/gas saturated reservoirs and averaged hydro-dynamic flows of viscous oil towards wells obtained as a result of innovative decisions in oil industry in general is presented. Within the frames of block homogeneous models of a well through the application of 3D linear theory of wave diffusion along the surface of geophysical emission layer, mathematical statement of asymmetrical filtration challenge with finite velocity of effect is presented. Dispersive ratios for constrained and resonant dissipative structures in a she

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42

PIYASENA, PUNIDADAS, та ROBIN C. McKELLAR. "Influence of Guar Gum on the Thermal Stability of Listeria innocua, Listeria monocytogenes, and γ-Glutamyl Transpeptidase during High-Temperature Short-Time Pasteurization of Bovine Milk". Journal of Food Protection 62, № 8 (1 серпня 1999): 861–66. http://dx.doi.org/10.4315/0362-028x-62.8.861.

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Mathematical models describing the thermal inactivation of γ-glutamyl transpeptidase (TP) and Listeria innocua in milk during high-temperature short-time (HTST) pasteurization were validated with data from TP, L. innocua, and L. monocytogenes trials in guar gum–milk. Holding tube times were determined for turbulent flow using water, and for laminar flow using a guar gum (0.27% wt/wt)–sucrose (5.3% wt/wt)–water mixture. Inactivation of TP and L. innocua was lower in a solution of guar gum (0.25% wt/wt) in whole milk than was predicted by models derived from studies with whole milk alone. Use of

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43

DAMSGAARD, ANDERS, JENNY SUCKALE, JAN A. PIOTROWSKI, MORGANE HOUSSAIS, MATTHEW R. SIEGFRIED, and HELEN A. FRICKER. "Sediment behavior controls equilibrium width of subglacial channels." Journal of Glaciology 63, no. 242 (November 27, 2017): 1034–48. http://dx.doi.org/10.1017/jog.2017.71.

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ABSTRACTFlow-frictional resistance at the base of glaciers and ice sheets is strongly linked to subglacial water pressure. Understanding the physical mechanisms that govern meltwater fluxes in subglacial channels is hence critical for constraining variations in ice flow. Previous mathematical descriptions of soft-bed subglacial channels assume a viscous till rheology, which is inconsistent with laboratory data and the majority of field studies. Here, we use a grain-scale numerical formulation coupled to pore-water dynamics to analyze the structural stability of channels carved into soft beds.

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44

Deng, Wubing, and Igor B. Morozov. "A simple and general macroscopic model for local-deformation effects in fluid-saturated porous rock." Geophysical Journal International 220, no. 3 (December 6, 2019): 1893–903. http://dx.doi.org/10.1093/gji/ggz552.

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SUMMARY Wave-induced fluid flows (WIFF) can be viewed as cases of broader local-deformation (LD) phenomena and represent the principal causes of seismic-wave attenuation in fluid-saturated porous rock. Most existing WIFF models refer to greatly simplified microstructures and specific flow patterns, such as planar divergent flows within thin cracks (squirt flows, SF) or flows within patchy-saturation zones. However, such microstructures represent only idealized mathematical models that may be impossible to consistently identify within a given rock. At the same time, most details of such microst

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45

Leclaire, Sébastien, Andrea Parmigiani, Bastien Chopard, and Jonas Latt. "Three-dimensional lattice Boltzmann method benchmarks between color-gradient and pseudo-potential immiscible multi-component models." International Journal of Modern Physics C 28, no. 07 (July 2017): 1750085. http://dx.doi.org/10.1142/s0129183117500851.

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In this paper, a lattice Boltzmann color-gradient method is compared with a multi-component pseudo-potential lattice Boltzmann model for two test problems: a droplet deformation in a shear flow and a rising bubble subject to buoyancy forces. With the help of these two problems, the behavior of the two models is compared in situations of competing viscous, capillary and gravity forces. It is found that both models are able to generate relevant scientific results. However, while the color-gradient model is more complex than the pseudo-potential approach, numerical experiments show that it is als

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46

Curt, Paula, and Denisa Fericean. "A Special Class of Univalent Functions in Hele-Shaw Flow Problems." Abstract and Applied Analysis 2011 (2011): 1–10. http://dx.doi.org/10.1155/2011/948236.

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We study the time evolution of the free boundary of a viscous fluid for planar flows in Hele-Shaw cells under injection. Applying methods from the theory of univalent functions, we prove the invariance in time ofΦ-likeness property (a geometric property which includes starlikeness and spiral-likeness) for two basic cases: the inner problem and the outer problem. We study both zero and nonzero surface tension models. Certain particular cases are also presented.

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47

Li, Guo-Jie, Wen-Bin Shangguan, and Subhash Rakheja. "Modelling and analysis of a magneto-rheological damper featuring non-magnetized flow paths in the piston." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 234, no. 10-11 (April 8, 2020): 2665–79. http://dx.doi.org/10.1177/0954407020907487.

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The damping characteristics of a magneto-rheological damper featuring non-magnetized flow paths in the piston are analysed using the Eyring constitutive model considering both viscous and minor hydraulic losses. The force–displacement and force–velocity characteristics of the magneto-rheological damper with non-magnetized flow paths were experimentally evaluated under different excitations and magnetic field intensity. Experimental results revealed relatively largerpre-yield-like region, attributed to flows through the non-magnetized paths, which increased with an increase in the coil current.

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48

Alam, Aftab, Dil Nawaz Khan Marwat, and Saleem Asghar. "Flow over a non-uniform sheet with non-uniform stretching (shrinking) and porous velocities." Advances in Mechanical Engineering 12, no. 2 (February 2020): 168781402090900. http://dx.doi.org/10.1177/1687814020909000.

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Viscous flow over a porous and stretching (shrinking) surface of an arbitrary shape is investigated in this article. New dimensions of the modeled problem are explored through the existing mathematical analogies in such a way that it generalizes the classical simulations. The latest principles provide a framework for unification, and the consolidated approach modifies the classical formulations. A realistic model is presented with new features in order to explain variety of previous observations on the said problems. As a result, new and upgraded version of the problem is appeared for all such

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49

Butler, J. P., J. Huang, S. H. Loring, S. J. Lai-Fook, P. M. Wang, and T. A. Wilson. "Model for a pump that drives circulation of pleural fluid." Journal of Applied Physiology 78, no. 1 (January 1, 1995): 23–29. http://dx.doi.org/10.1152/jappl.1995.78.1.23.

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Physical and mathematical models were used to study a mechanism that could maintain the layer of pleural fluid that covers the surface of the lung. The pleural space was modeled as a thin layer of viscous fluid lying between a membrane carrying tension (T), representing the lung, and a rigid wall, representing the chest wall. Flow of the fluid was driven by sliding between the membrane and wall. The physical model consisted of a cylindrical balloon with strings stretched along its surface. When the balloon was inflated inside a vertical circular cylinder containing a viscous fluid, the strings

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50

Asif, Muhammad, Sami Ul Haq, Saeed Islam, Tawfeeq Abdullah Alkanhal, Zar Khan, Ilyas Khan, and Kottakkaran Nisar. "Unsteady Flow of Fractional Fluid between Two Parallel Walls with Arbitrary Wall Shear Stress Using Caputo–Fabrizio Derivative." Symmetry 11, no. 4 (April 1, 2019): 449. http://dx.doi.org/10.3390/sym11040449.

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In this article, unidirectional flows of fractional viscous fluids in a rectangular channel are studied. The flow is generated by the shear stress given on the bottom plate of the channel. The authors have developed a generalized model on the basis of constitutive equations described by the time-fractional Caputo–Fabrizio derivative. Many authors have published different results by applying the time-fractional derivative to the local part of acceleration in the momentum equation. This approach of the fractional models does not have sufficient physical background. By using fractional generalize

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