Relevant bibliographies by topics / Approximation de Boussinesq quadratique

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

Academic literature on the topic 'Approximation de Boussinesq quadratique'

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Published: 7 December 2024
Last updated: 31 July 2025

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Journal articles on the topic "Approximation de Boussinesq quadratique"

1

Young, William R. "Dynamic Enthalpy, Conservative Temperature, and the Seawater Boussinesq Approximation." Journal of Physical Oceanography 40, no. 2 (2010): 394–400. http://dx.doi.org/10.1175/2009jpo4294.1.

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Abstract A new seawater Boussinesq system is introduced, and it is shown that this approximation to the equations of motion of a compressible binary solution has an energy conservation law that is a consistent approximation to the Bernoulli equation of the full system. The seawater Boussinesq approximation simplifies the mass conservation equation to ∇ · u = 0, employs the nonlinear equation of state of seawater to obtain the buoyancy force, and uses the conservative temperature introduced by McDougall as a thermal variable. The conserved energy consists of the kinetic energy plus the Boussine
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Wood, T. S., and P. J. Bushby. "Oscillatory convection and limitations of the Boussinesq approximation." Journal of Fluid Mechanics 803 (August 30, 2016): 502–15. http://dx.doi.org/10.1017/jfm.2016.511.

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We determine the asymptotic conditions under which the Boussinesq approximation is valid for oscillatory convection in a rapidly rotating fluid. In the astrophysically relevant parameter regime of small Prandtl number, we show that the Boussinesq prediction for the onset of convection is valid only under much more restrictive conditions than those that are usually assumed. In the case of an ideal gas, we recover the Boussinesq results only if the ratio of the domain height to a typical scale height is much smaller than the Prandtl number. This requires an extremely shallow domain in the astrop
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RAJAGOPAL, K. R., M. RUZICKA, and A. R. SRINIVASA. "ON THE OBERBECK-BOUSSINESQ APPROXIMATION." Mathematical Models and Methods in Applied Sciences 06, no. 08 (1996): 1157–67. http://dx.doi.org/10.1142/s0218202596000481.

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This paper deals with a derivation (using a perturbation technique) of an approximation, due to Oberbeck8,9 and Boussinesq,1 to describe the thermal response of linearly viscous fluids that are mechanically incompressible but thermally compressible. The present approach uses a nondimensionalization suggested by Chandrasekhar2 and utilizing the ratio of two characteristic velocities as a measure of smallness, systematically derives the Oberbeck-Boussinesq approximation as a third-order perturbation. In the present approach, the material is subjected to the constraint that the volume change is d
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Barletta, Antonio, Michele Celli, and D. Andrew S. Rees. "On the Use and Misuse of the Oberbeck–Boussinesq Approximation." Physics 5, no. 1 (2023): 298–309. http://dx.doi.org/10.3390/physics5010022.

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The Oberbeck–Boussinesq approximation is the most commonly employed theoretical scheme for the study of natural or mixed convection flows. However, the misunderstanding of this approximated framework is a possibility that may cause the emergence of paradoxes or, at least, incorrect conclusions. In this paper, the basic features of the Oberbeck–Boussinesq approximation are briefly recalled and three simple examples where this theoretical scheme may be misused are provided. Such misuses of the approximation lead to erroneous conclusions that, in the examples presented in this note, entail violat
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Téchené, Jean-Jacques. "Les aspects fondamentaux de l'admissibilité en approximation quadratique d'applications linéaires." Linear Algebra and its Applications 264 (October 1997): 389–419. http://dx.doi.org/10.1016/s0024-3795(96)00405-3.

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Gomes, Diogo A., and Claudia Valls. "Approximation of ill-posed boussinesq equations." Dynamical Systems 19, no. 4 (2004): 345–57. http://dx.doi.org/10.1080/1468936042000269587.

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Baron-Pertuz, Cristian-Fabian, Ana-Magnolia Marin-Ramirez, and Ruben-Dario Ortiz-Ortiz. "An approximation to the Boussinesq equations." International Journal of Mathematical Analysis 8 (2014): 2433–37. http://dx.doi.org/10.12988/ijma.2014.48274.

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PRUŠA, VÍT, and K. R. RAJAGOPAL. "ON MODELS FOR VISCOELASTIC MATERIALS THAT ARE MECHANICALLY INCOMPRESSIBLE AND THERMALLY COMPRESSIBLE OR EXPANSIBLE AND THEIR OBERBECK–BOUSSINESQ TYPE APPROXIMATIONS." Mathematical Models and Methods in Applied Sciences 23, no. 10 (2013): 1761–94. http://dx.doi.org/10.1142/s0218202513500516.

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Viscoelastic fluid like materials that are mechanically incompressible but are compressible or expansible with respect to thermal stimuli are of interest in various applications ranging from geophysics and polymer processing to glass manufacturing. Here we develop a thermodynamical framework for the modeling of such materials. First we illustrate the basic ideas in the simpler case of a viscous fluid, and after that we use the notion of natural configuration and the concept of the maximization of the entropy production, and we develop a model for a Maxwell type viscoelastic fluid that is mecha
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Siddiqui, Perwez. "Density Modelling in Mixed Convection Flow in a Vertical Parallel Plate Channel." International Journal of Heat and Technology 39, no. 4 (2021): 1294–304. http://dx.doi.org/10.18280/ijht.390428.

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In this paper, a novel way of modelling the density in buoyancy term of mixed convection flow problem is presented using equation of state and Boussinesq approximation without first-order approximation of density with respect to temperature. The presented density model is used to investigate the laminar mixed convection flow in a vertical parallel plate channel under symmetric constant wall heat flux. The results obtained are compared with the results obtained using first-order approximation of density with Boussinesq approximation, and also compared with the results obtained using variable th
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Lopez, Jose M., Francisco Marques, and Marc Avila. "The Boussinesq approximation in rapidly rotating flows." Journal of Fluid Mechanics 737 (November 15, 2013): 56–77. http://dx.doi.org/10.1017/jfm.2013.558.

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AbstractIn commonly used formulations of the Boussinesq approximation centrifugal buoyancy effects related to differential rotation, as well as strong vortices in the flow, are neglected. However, these may play an important role in rapidly rotating flows, such as in astrophysical and geophysical applications, and also in turbulent convection. Here we provide a straightforward approach resulting in a Boussinesq-type approximation that consistently accounts for centrifugal effects. Its application to the accretion-disc problem is discussed. We numerically compare the new approach to the typical
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Dissertations / Theses on the topic "Approximation de Boussinesq quadratique"

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Ferré, Alexis. "Etude CFD et expérimentale d'un stockage thermique de type thermocline." Electronic Thesis or Diss., Pau, 2024. http://www.theses.fr/2024PAUU3023.

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Le stockage d'énergie est essentiel à la transition énergétique car il permet de découpler la production de l'énergie de sa consommation. Le stockage de chaleur thermocline en eau, utilisé dans les réseaux de chaleur à moyenne ou basse température, repose sur la stratification thermique dans une cuve. Les performances de ce type de stockage sont fortement liées à la bonne stratification du fluide qui peut être perturbée par l'injection et le soutirage du liquide, des aspects peu explorés dans la littérature.L'objectif de cette thèse est de modéliser un tel stockage de manière fiable pour analy
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McQuarrie, Shane Alexander. "Data Assimilation in the Boussinesq Approximation for Mantle Convection." BYU ScholarsArchive, 2018. https://scholarsarchive.byu.edu/etd/6951.

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Many highly developed physical models poorly approximate actual physical systems due to natural random noise. For example, convection in the earth's mantle—a fundamental process for understanding the geochemical makeup of the earth's crust and the geologic history of the earth—exhibits chaotic behavior, so it is difficult to model accurately. In addition, it is impossible to directly measure temperature and fluid viscosity in the mantle, and any indirect measurements are not guaranteed to be highly accurate. Over the last 50 years, mathematicians have developed a rigorous framework for reconci
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Haschke, Heike. "Splitting-Techniken zur spektralen Approximation der Navier-Stokes- und Boussinesq-Gleichungen." [S.l.] : [s.n.], 2001. http://deposit.ddb.de/cgi-bin/dokserv?idn=96361083X.

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Rubio, Diana. "Distributed Parameter Control of Thermal Fluids." Diss., Virginia Tech, 1997. http://hdl.handle.net/10919/30330.

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We consider the problem of controlling a thermal convection flow by feedback. The system is governed by the Boussinesq approximation of the coupled set of Navier-Stokes and heat equations. The control is applied through Dirichlet boundary conditions. We concentrate on a two-dimensional mode and use a semidiscrete Galerkin scheme for numerical computations. We construct both a linear control and a non-linear quadratic control and apply them to the full non-linear model. First, we test these controllers on a one-mode approximation. The convergence of the numerical scheme is analyzed. We also c
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Hu, Weiwei. "Approximation and Control of the Boussinesq Equations with Application to Control of Energy Efficient Building Systems." Diss., Virginia Tech, 2012. http://hdl.handle.net/10919/38664.

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In this thesis we present theoretical and numerical results for a feedback control problem defined by a thermal fluid. The problem is motivated by recent interest in designing and controlling energy efficient building systems. In particular, we show that it is possible to locally exponentially stabilize the nonlinear Boussinesq Equations by applying Neumann/Robin type boundary control on a bounded and connected domain. The feedback controller is obtained by solving a Linear Quadratic Regulator problem for the linearized Boussinesq equations. Applying classical results for semilinear equations
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Schneider, Nicolas. "Vorticité et mélange dans les écoulements de Rayleigh-Taylor turbulents, en approximation anélastique et de Boussinesq." Thesis, Paris 6, 2015. http://www.theses.fr/2015PA066466/document.

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L'instabilité de Rayleigh-Taylor (IRT) est notamment rencontrée lors des expériences de Fusion par Confinement Inertiel, et son développement est un obstacle à la réussite de ces expériences. L'objet de cette thèse est d'étudier la croissance de l'IRT pour différents régimes de compressibilité, au moyen de simulations numériques directes réalisées à l'aide d'un code pseudo-spectral multidomaine de type Chebyshev-Fourier-Fourier.La méthode du développement asymptotique permet d'établir des modèles à bas nombre de Mach pour lesquels la contribution acoustique est éliminée. L'implantation dans le
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Bérard, Bergery Blandine. "Approximation du temps local et intégration par régularisation." Thesis, Nancy 1, 2007. http://www.theses.fr/2007NAN10058/document.

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Cette thèse s'inscrit dans la théorie de l'intégration par régularisation de Russo et Vallois. La première partie est consacrée à l'approximation du temps local des semi-martingales continues. Si X est une diffusion réversible, on montre la convergence d'un premier schéma d'approximation vers le temps local de X, en probabilité uniformément sur les compacts. De ce premier schéma, on tire deux autres schémas d'approximation du temps local, l'un valable pour les semi-martingales continues, l'autre pour le mouvement Brownien standard. Dans le cas du mouvement Brownien, une vitesse de convergence
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Toqué, Nathalie. "Diffusion turbulente anisotrope dans les zones radiatives d'étoiles." Thèse, Paris 6, 2004. http://hdl.handle.net/1866/17334.

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Nguyen, Phuong Anh. "Contrôle optimal localisé sur des structures fines pour des équations paraboliques semilinéaires et le système de Boussinesq." Toulouse 3, 2000. http://www.theses.fr/2000TOU30195.

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Berard, Bergery Blandine. "Approximation du temps local et intégration par régularisation." Phd thesis, Université Henri Poincaré - Nancy I, 2007. http://tel.archives-ouvertes.fr/tel-00181777.

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Cette thèse s'inscrit dans la théorie de l'intégration par régularisation de Russo et Vallois. La première partie est consacrée à l'approximation du temps local des semi-martingales continues. On montre que, si $X$ est une diffusion réversible, alors $ \frac{1}{\epsilon}\int_0^t \left( \indi_{\{ y < X_{s+\epsilon}\}} - \indi_{\{ y < X_{s}\}} \right) \left( X_{s+\epsilon}-X_{s} \right)ds$ converge vers $L_t^y(X)$, en probabilité uniformément sur les compacts, quand $\epsilon \to 0$. De ce premier schéma, on tire deux autres schémas d'approximation du temps local, l'un valable pour les semi-mart
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Books on the topic "Approximation de Boussinesq quadratique"

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Rubinstein, Robert. Renormalization group theory of Bolgiano scaling in Boussinesq turbulence. National Aeronautics and Space Administration, 1994.

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Merkle, Klaus. Einfluss gleich- und gegensinniger Drehrichtung der Verbrennungsluftstro me auf die Stabilisierung turbulenter Doppeldrall-Diffusionsflammen. Univ.-Verl. Karlsruhe, 2006.

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Book chapters on the topic "Approximation de Boussinesq quadratique"

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Herwig, Heinz. "Boussinesq-Approximation (Boussinesq approximation)." In Wärmeübertragung A-Z. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-56940-1_6.

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Zeytounian, Radyadour. "The Boussinesq Approximation." In Asymptotic Modeling of Atmospheric Flows. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-73800-5_8.

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Dewan, Anupam. "Models Based on Boussinesq Approximation." In Tackling Turbulent Flows in Engineering. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14767-8_5.

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Feireisl, Eduard, and Maria E. Schonbek. "On the Oberbeck–Boussinesq Approximation on Unbounded Domains." In Nonlinear Partial Differential Equations. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25361-4_7.

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Hinze, Michael, and Ulrich Matthes. "Optimal and Model Predictive Control of the Boussinesq Approximation." In International Series of Numerical Mathematics. Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-7721-2_7.

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Denisova, I. V., and V. A. Solonnikov. "Motion of Two Fluids in the Oberbeck-Boussinesq Approximation." In Motion of a Drop in an Incompressible Fluid. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-70053-9_9.

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Bhuyan, Shikha, Dipankar Narayan Basu, and Sambit Mazumdar. "Investigation of Natural Convection in Square Cavity Implementing Non-boussinesq Approximation." In Lecture Notes in Mechanical Engineering. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-97-6783-0_54.

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Straughan, Brian. "The Navier-Stokes Equations, the Boussinesq Approximation, and the Standard Bénard Problem." In The Energy Method, Stability, and Nonlinear Convection. Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4757-2194-2_3.

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Holm, Darryl D., Ruiao Hu, and Oliver D. Street. "On the Interactions Between Mean Flows and Inertial Gravity Waves in the WKB Approximation." In Mathematics of Planet Earth. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-40094-0_5.

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AbstractWe derive a Wentzel–Kramers–Brillouin (WKB) closure of the generalised Lagrangian mean (GLM) theory by using a phase-averaged Hamilton variational principle for the Euler–Boussinesq (EB) equations. Following Gjaja and Holm 1996, we consider 3D inertial gravity waves (IGWs) in the EB approximation. The GLM closure for WKB IGWs expresses EB wave mean flow interaction (WMFI) as WKB wave motion boosted into the reference frame of the EB equations for the Lagrangian mean transport velocity. We provide both deterministic and stochastic closure models for GLM IGWs at leading order in 3D compl
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Dorok, O., W. Grambow, and L. Tobiska. "Aspects of Finite Element Discretizations for Solving the Boussinesq Approximation of the Navier-Stokes Equations." In Numerical methods for the Navier-Stokes equations. Vieweg+Teubner Verlag, 1994. http://dx.doi.org/10.1007/978-3-663-14007-8_6.

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Conference papers on the topic "Approximation de Boussinesq quadratique"

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Burns, John A., and Weiwei Hu. "Approximation methods for boundary control of the Boussinesq equations." In 2013 IEEE 52nd Annual Conference on Decision and Control (CDC). IEEE, 2013. http://dx.doi.org/10.1109/cdc.2013.6759923.

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Xiao, Jianjun, John R. Travis, and Wolfgang Breitung. "Non-Boussinesq Integral Model for Horizontal Turbulent Strongly Buoyant Plane Jets." In 16th International Conference on Nuclear Engineering. ASMEDC, 2008. http://dx.doi.org/10.1115/icone16-48169.

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Horizontal buoyant jets are fundamental flow regimes for hydrogen safety analyses in the nuclear power plants. Integral model is an efficient, fast running engineering tool that can be used to obtain the jet trajectory, centerline dilution and other properties of the flow. In the published literature, most of the integral models that are used to predict the horizontal buoyant jet behavior employ the Boussinesq approximation, which limits the density range between the jets and the ambient. CorJet, a long researched, developed, and established commercial model, is such a Boussinesq model, and ha
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Wilson, Carlos Perez, and Serge Blancher. "ON THE BOUSSINESQ APPROXIMATION FOR THE POISEUILLE-RAYLEIGH-BENARD PROBLEM." In Proceedings of CHT-08 ICHMT International Symposium on Advances in Computational Heat Transfer. Begellhouse, 2008. http://dx.doi.org/10.1615/ichmt.2008.cht.1780.

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Mehdizadeh, A. M., M. R. Bazargan-Lari, A. Mansoori, and A. Mehdizadeh. "Two-Phase Flow Simulation of a Non-Boussinesq Density Current." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-37274.

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Boussinesq approximation was widely used in the previous studies to model dilute density or turbidity currents. This approximation was helping to simplify the governing equations and employing a single phase simulation of density currents. In contrast to the general approach of the previous researches who tried to avoid two-phase flow simulation, in this study the two-phase simulation of density current is performed to compare the solution based on the non-Boussinesq behaviour of the fluid with that assuming the Boussinesq approximation. The above goal has been achieved by employing the mixtur
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Gobbi, Maurício F., Andrew B. Kennedy, and James T. Kirby. "A Comparison of Higher Order Boussinesq and Local Polynomial Approximation Models." In 26th International Conference on Coastal Engineering. American Society of Civil Engineers, 1999. http://dx.doi.org/10.1061/9780784404119.046.

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Kamel, John K., and Samuel Paolucci. "Heat Transfer and Fluid Flow in a Furnace Using the Non-Boussinesq Approximation." In ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ht-fed2004-56466.

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Heat transfer and flow field distributions inside a furnace used for manufacturing carbon aircraft brakes are investigated by using non-Boussinesq equations. These equations, unlike their Boussinesq counterpart, enable us to account properly for the large variation of properties with temperature. Radiation between the furnace wall and the porous brake substrates is modelled by taking these surfaces as gray and diffuse, while the gas is considered to be a non-participating medium. A non-Darcian model is used for the flow in the porous brakes. We have implemented the equations within FIDAP, a co
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Bhuyan, Shikha, and Dipankar Narayan Basu. "Numerical analysis of mixed convection flow using non-Boussinesq approximation lattice Boltzmann method." In Proceedings of the 25th National and 3rd International ISHMT-ASTFE Heat and Mass Transfer Conference (IHMTC-2019). Begellhouse, 2019. http://dx.doi.org/10.1615/ihmtc-2019.970.

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Pitz, Diogo B., John W. Chew, Olaf Marxen, and Nicholas J. Hills. "Direct Numerical Simulation of Rotating Cavity Flows Using a Spectral Element-Fourier Method." In ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/gt2016-56486.

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A high-order numerical method is employed to investigate flow in a rotor/stator cavity without heat transfer and buoyant flow in a rotor/rotor cavity. The numerical tool used employs a spectral element discretisation in two dimensions and a Fourier expansion in the remaining direction, which is periodic and corresponds to the azimuthal coordinate in cylindrical coordinates. The spectral element approximation uses a Galerkin method to discretise the governing equations, similarly to a finite element method, but employs high-order polynomials within each element to obtain spectral accuracy. A se
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Barhaghi, Darioush G., and Lars Davidson. "On the Validity of the Boussinesq Approximation in a Developing Mixed Convection Boundary Layer." In 2007 International Conference on Thermal Issues in Emerging Technologies: Theory and Application. IEEE, 2007. http://dx.doi.org/10.1109/theta.2007.363439.

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Zhou, Hongqiang, and Michelle H. Teng. "Higher-Order Modeling of Water Waves Generated by Submerged Moving Disturbances." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-80063.

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In this paper, a recently derived (Zhou, 2008) fully nonlinear and higher-order dispersive Boussinesq-type model for wave generation and propagation is presented. This new model is an extension of the wave propagation model by Gobbi and Kirby (1999) and Gobbi et al. (2000) to include the time-varying seabed bathymetry. The resulting new version retains the 4th-order approximation of the dispersion relation and the velocity distribution in the vertical direction, and extends the application to both water wave propagation and wave generation by seabed disturbances such as submarine landslides. T
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