Relevant bibliographies by topics / Viscous flow Mathematical models

Contents

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

Academic literature on the topic 'Viscous flow Mathematical models'

Author: Grafiati
Published: 4 June 2021
Last updated: 11 February 2022

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Journal articles on the topic "Viscous flow Mathematical models"

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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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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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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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Viscous flow Mathematical models"

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Stokes, Yvonne Marie. "Very Viscous Flows Driven by Gravity with particular application to Slumping of Molten Glass." Title page, contents and abstract only, 1998. http://thesis.library.adelaide.edu.au/public/adt-SUA20020724.171358.

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Bibliography: leaves 247-257. Electronic publication; Full text available in PDF format; abstract in HTML format. This thesis examines the flow of very viscous Newtonian fluids driven by gravity, with emphasis on the lumping of molten glass into a mould, as in the manufacture of optical components, which are in turn used to manufacture ophthalmic lenses. Electronic reproduction.[Australia] :Australian Digital Theses Program,2001.
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Marshall, David D. "Extending the functionalities of Cartesian grid solvers : viscous effects modeling and MPI parallelization." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/11999.

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Rossi, Louis Frank, and Louis Frank Rossi. "A spreading blob vortex method for viscous bounded flows." Diss., The University of Arizona, 1993. http://hdl.handle.net/10150/186562.

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In this dissertation, I introduce a vortex method that is generally applicable to any two-dimensional, incompressible flow with or without boundaries. This method is deterministic, accurate, convergent, naturally adaptive, geometry independent and fully localized. For viscous flows, the vorticity distribution of each vortex element must evolve in addition to following a Lagrangian trajectory. My method relies upon an idea called core spreading. Core spreading is inconsistent by itself, but I have corrected it with a deterministic process known as "vortex fission" where one "fat" vortex is repl
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Kim, Goo. "A vorticity-velocity approach for three-dimensional unsteady viscous flow over wings." Diss., Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/12123.

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Huang, Lingyan, and 黃凌燕. "Mass transport due to surface waves in a water-mud system." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2005. http://hub.hku.hk/bib/B35380457.

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Vantzos, Orestis. "Mathematical Modeling of Charged Liquid Droplets: Numerical Simulation and Stability Analysis." Thesis, University of North Texas, 2006. https://digital.library.unt.edu/ark:/67531/metadc5240/.

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The goal of this thesis is to study of the evolution of 3D electrically charged liquid droplets of fluid evolving under the influence of surface tension and electrostatic forces. In the first part of the thesis, an appropriate mathematical model of the problem is introduced and the linear stability analysis is developed by perturbing a sphere with spherical harmonics. In the second part, the numerical solution of the problem is described with the use of the boundary elements method (BEM) on an adaptive mesh of triangular elements. The numerical method is validated by comparison with exact so
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Sirino, Thiago. "Estudo numérico da influência da viscosidade no desempenho de uma bomba centrífuga submersa." Universidade Tecnológica Federal do Paraná, 2013. http://repositorio.utfpr.edu.br/jspui/handle/1/880.

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Petrobrás; ANP; UTFPR; LACIT<br>Bombas centrífugas submersas têm sido cada vez mais utilizadas comométodo de elevação artificial para a produção de óleos em campos marítimos profundos. O bombeio de fluidos com viscosidades significativamente diferentes a da água gera um desempenho da bomba distinto ao do apresentado no seu catálogo, com uma queda de rendimento da mesma, assim sendo, a influência da viscosidade do fluido no desempenho em uma bomba centrífuga submersa tem recebido muita atenção há alguns anos. Neste cenário, no presente trabalho foi realizada a simulação numérica do escoamento m
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Cummings, Linda Jane. "Free boundary models in viscous flow." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.339364.

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Goble, Brian Dean. "A truncation error injection approach to viscous-inviscid interaction." Diss., The University of Arizona, 1988. http://hdl.handle.net/10150/184318.

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A numerical procedure is presented which uses the truncation error injection methodology to efficiently achieve accurate approximations to complex problems having disparate length scales in the context of solving viscous, transonic flow over an airfoil. The truncation error distribution is estimated using the solution on a coarse grid. Local fine grids are formed which improve the resolution in regions of large truncation error. A fast fourth-order accurate scheme is presented for interpolating and relating the solutions between the generalized curvilinear coordinate systems of the local and g
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Garthwaite, Matthew Campbell. "Deformation of Tibet : InSAR analysis and viscous flow models." Thesis, University of Leeds, 2011. http://etheses.whiterose.ac.uk/2611/.

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The Tibetan plateau in central Asia is a prime example of the distributed deformation that occurs in the lithosphere as a result of continental collision. Large scale lithospheric deformation can be estimated using viscous continuum models that balance the vertical stress induced by lateral variations of potential energy, and horizontal stress induced by tectonic boundary forces. I find that the 2-dimensional Thin Viscous Sheet (TVS) model gives a good approximation to deformation during continental collision, providing that the indenter half-width is greater than the lithospheric thickness. H
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Books on the topic "Viscous flow Mathematical models"

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Laminar viscous flow. New York: Springer, 1995.

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Numerical computation of compressible and viscous flow. Reston, Virginia: American Institute of Aeronautics and Astronautics, Inc., 2014.

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Rose, M. E. Numerical methods for incompressible viscous flows with engineering aplications. Norfolk, Va: Department of Mechanical Engineering & Mechanics, College of Engineering & Technology, Old Dominion University, 1988.

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Pao, Yih-Ho. Time-dependent viscous incompressible flow past a finite flat plate. [Seattle, Wash.]: Boeing Scientific Research Laboratories, Flight Sciences Laboratory, 1986.

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Pao, Yih-Ho. Time-dependent viscous incompressible flow past a finite flat plate. [Seattle, Wash.]: Boeing Scientific Research Laboratories, Flight Sciences Laboratory, 1986.

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Bielski, W. Nonstationary flows of viscous fluids through porous elastic media: Homogenization method. Warszawa: Institute of Geophysics, Polish Academy of Sciences, 2005.

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Lliboutry, Luis. Very slow flows of solids: Basics of modeling in geodynamics and glaciology. Dordrecht: Martinus Nijhoff, 1987.

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Bartel, Robert E. Prediction of transonic vortex flows using linear and nonlinear turbulent eddy viscosity models. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2000.

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Introduction to the numerical analysis of incompressible viscous flows. Philadelphia: Society for Industrial and Applied Mathematics, 2008.

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Golovachov, Yuri P. Numerical simulation of viscous shock layer flows. Dordrecht: Kluwer Academic Publishers, 1995.

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Book chapters on the topic "Viscous flow Mathematical models"

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Chetverushkin, Boris N., and Eugene V. Shilnikov. "Unsteady Viscous Flow Simulation Based on QGD System." In Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media, 137–46. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4615-4799-0_11.

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Abels, Helmut, and Harald Garcke. "Weak Solutions and Diffuse Interface Models for IncompressibleTwo-Phase Flows." In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 1267–327. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-13344-7_29.

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Abels, Helmut, and Harald Garcke. "Weak Solutions and Diffuse Interface Models for Incompressible Two-Phase Flows." In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 1–60. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-10151-4_29-1.

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Azevedo, A. V., and D. Marchesin. "Multiple Viscous Profile Riemann Solutions in Mixed Elliptic-Hyperbolic Models for Flow in Porous Media." In The IMA Volumes in Mathematics and Its Applications, 1–17. New York, NY: Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4613-9049-7_1.

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Aupoix, B. "Experimental Validation of Hypersonic Viscous Flow Models." In New Trends in Instrumentation for Hypersonic Research, 41–50. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1828-6_4.

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Elefteriadou, Lily. "Mathematical and Empirical Models." In An Introduction to Traffic Flow Theory, 129–35. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8435-6_6.

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Kovarik, Karel. "Mathematical Models of Groundwater Flow." In Numerical Models in Groundwater Pollution, 61–108. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-56982-1_5.

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Kobayashi, K., Y. Ohura, and K. Onishi. "Computer Programme KYOKAI.F for Viscous and Thermal Fluid Flow Problems." In Mathematical and Computational Aspects, 579–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-662-21908-9_39.

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Colli, Pierluigi, Gianni Gilardi, and Jürgen Sprekels. "Nonlocal Phase Field Models of Viscous Cahn–Hilliard Type." In CIM Series in Mathematical Sciences, 71–100. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-33116-0_3.

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Kaltenbacher, Manfred, and Stefan Schoder. "Physical Models for Flow: Acoustic Interaction." In Advances in Mathematical Fluid Mechanics, 265–353. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-67845-6_6.

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Conference papers on the topic "Viscous flow Mathematical models"

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Boretti, A. A. "Compressible, Turbulent, Viscous Flow Computations for Blade Aerodynamic and Heat Transfer." In ASME 1996 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-gt-178.

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The paper presents a computer code for steady and unsteady, three-dimensional, compressible, turbulent, viscous flow simulations. The mathematical model is based on the Favre-averaged Navier-Stokes conservation equations, closed by a statistical model of turbulence. Turbulence effects are represented by using a low Reynolds number K-ω model. The numerical model makes use of a finite difference approximation in generalized coordinates for space discretization. The solution of time-dependent, three-dimensional, non-homogeneous, partial differential equations is obtained by solving, in a prescrib
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Wanderley, Juan B. V., and Carlos Levi. "Free Surface Viscous Flow Around a Ship Model." In 25th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/omae2006-92165.

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The present stage of viscous flow numerical analysis combined with computer technology latest advances made viable the mathematical treatment of many robust and complex engineering problems of practical interest. Some numerical problems which solutions would be just unthinkable not more than ten years ago may be now dealt with in a reliable and fairly accurate manner. A truly example of this kind of problem would be the calculation of hydrodynamic loads acting on yawing ships. The solution of such a problem raises practical interest due to applications, for instance, as in the case of stationa
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Wang, X. Sheldon. "A Simplified Model of Flow-Induced Oscillations of Collapsible Tubes Conveying Viscous Fluids." In ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/pvp2006-icpvt-11-93851.

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In this paper, a simple mathematical model is formulated to study the static and dynamic instabilities of collapsible tubes conveying viscous fluids. The governing equations of motion for the pipe are derived under small deformation assumptions with the consideration of fluid frictional forces and inertia effects. In the case of steady flow, both buckling and flutter instabilities can be predicted based on the real and imaginary parts of the eigenvalues. In the case of pulsatile flow, the Bolotin method is employed to identify the dynamic stability regions.
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Bhuiyan, A. S., M. R. Biswas, Ilias Kotsireas, Roderick Melnik, and Brian West. "Effects of Pressure Stress Work and Viscous Dissipation in Mixed Convection Flow Along a Vertical Flat Plate." In ADVANCES IN MATHEMATICAL AND COMPUTATIONAL METHODS: ADDRESSING MODERN CHALLENGES OF SCIENCE, TECHNOLOGY, AND SOCIETY. AIP, 2011. http://dx.doi.org/10.1063/1.3663449.

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Fomin, Sergei A., Konstantin G. Kornev, Chris Wolter, Jon Young, and Tyler Brandenburg. "Mathematical Modeling of the Polymer Rotational Molding." In ASME/JSME 2007 5th Joint Fluids Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/fedsm2007-37619.

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We study the rimming flow of a viscoelastic film on the inner surface of a horizontal rotating cylinder. Simple lubrication theory is applied assuming that the Reynolds number is small and the liquid film is thin. For the steady-state flow of the Upper-Convected Maxwell (UCM) fluid the mathematical model reduces to a first order nonlinear ODE for the film thickness. We show that the liquid viscoelasticity changes the flow structure. In particular, the singularity observed for viscous liquids within the same lubrication approximation can be eliminated due liquid elasticity. We performed a detai
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Okafor, Charles, Patrick Verdin, and Phill Hart. "CFD Investigation of Downhole Natural Gas Separation Efficiency in the Churn Flow Regime." In SPE Gulf Coast Section Electric Submersible Pumps Symposium. SPE, 2021. http://dx.doi.org/10.2118/204509-ms.

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Abstract Downhole Natural Gas Separation Efficiency (NGSE) is flow regime dependent, and current analytical models in certain conditions lack accuracy. Downhole NGSE was investigated through 3D Computational Fluid Dynamics (CFD) transient simulations for pumping wells in the Churn flow regime. The Volume of Fluid (VOF) multiphase model was considered along with the k – ε turbulence model for most simulations. A mesh independence study was performed, and the final model results validated against experimental data, showing an average error of less than 6 %. Numerical simulation results showed th
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Nakate, Prajakta, Domenico Lahaye, Cornelis Vuik, and Marco Talice. "Systematic Development and Mesh Sensitivity Analysis of a Mathematical Model for an Anode Baking Furnace." In ASME 2018 5th Joint US-European Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/fedsm2018-83131.

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The anode baking process is developed and improved since the 1980s due to its importance in Aluminium industry. The process is characterized by multiple physical phenomena including turbulent flow, combustion process, conjugate heat transfer, and radiation. In order to obtain an efficient process with regards to quality of anodes, soot-free combustion, reduction of NOx and minimization of energy, a mathematical model can be developed. A mathematical model describes the physical phenomena and provides a deeper understanding of the process. Turbulent flow is one of the important physical phenome
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Pereira, Filipe S., Guilherme Vaz, Luís Eça, and Sébastien Lemaire. "On the Numerical Prediction of Transitional Flows With Reynolds-Averaged Navier-Stokes and Scale-Resolving Simulation Models." In ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/omae2016-54414.

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The present work investigates the transitional flow around a smooth circular cylinder at Reynolds number Re = 140,000. The flow is resolved using the viscous-flow solver ReFRESCO, and distinct mathematical models are applied to assess their ability to handle transitional flows. The selected mathematical models are the Reynolds-Averaged Navier-Stokes equations (RANS), Scale-Adaptive Simulation (SAS), Delayed Detached-Eddy Simulation (DDES), eXtra Large-Eddy Simulation (XLES) and Partially-Averaged Navier-Stokes (PANS) equations. The RANS equations are supplemented with the k–ω Shear-Stress Tran
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Giles, Michael, and Robert Haimes. "Validation of a Numerical Method for Unsteady Flow Calculations." In ASME 1991 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/91-gt-271.

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This paper describes and validates a numerical method for the calculation of unsteady inviscid and viscous flows. A companion paper compares experimental measurements of unsteady heat transfer on a transonic rotor with the corresponding computational results. The mathematical model is the Reynolds-averaged unsteady Navier-Stokes equations for a compressible ideal gas. Quasi-three-dimensionality is included through the use of a variable streamtube thickness. The numerical algorithm is unusual in two respects: a) for reasons of efficiency and flexibility it uses a hybrid Navier-Stokes/Euler meth
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Escandón, Juan P., and David A. Torres. "Analysis of Combined Electroosmotic and Pressure Driven Flow of Multilayer Immiscible Fluids in a Narrow Capillary." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-10466.

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Abstract This paper presents the analytical solution of a combined electroosmotic and pressure driven flow of multilayer immiscible fluids in a narrow capillary. The mathematical model is based in the Poisson-Boltzmann equation and the modified Navier-Stokes equations. In the steady-state analysis, we consider different conditions at the interfaces between the fluids as potential differences, surface charge densities and electro-viscous stresses balances, which are discussed in detail. Results show the transport phenomena coupled in the description of velocity distribution, by the analyzing of
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