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Relevant bibliographies by topics / Quadratic Boussinesq approximation

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Academic literature on the topic 'Quadratic Boussinesq approximation'

Author: Grafiati

Published: 7 December 2024

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Journal articles on the topic "Quadratic Boussinesq approximation"

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Gravanis, Elias, Evangelos Akylas, and Ernestos Nikolas Sarris. "Approximate Solutions for Horizontal Unconfined Aquifers in the Buildup Phase." Water 16, no. 7 (2024): 1031. http://dx.doi.org/10.3390/w16071031.

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We construct approximate analytical solutions of the Boussinesq equation for horizontal unconfined aquifers in the buildup phase under constant recharge and zero-inflow conditions. We employ a variety of methods, which include wave solutions, self-similar solutions, and two classical linear approximations of the Boussinesq equation (linear and quadratic), to explore the behavior and performance of the solutions derived from each method against the Boussinesq equation and the exact (non-closed form) analytical solutions. We find that the wave approximation, which is of a conceptual nature, enca

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Sajjan, Kiran, Nehad Ali Shah, N. Ameer Ahammad, C. S. K. Raju, M. Dinesh Kumar, and Wajaree Weera. "Nonlinear Boussinesq and Rosseland approximations on 3D flow in an interruption of Ternary nanoparticles with various shapes of densities and conductivity properties." AIMS Mathematics 7, no. 10 (2022): 18416–49. http://dx.doi.org/10.3934/math.20221014.

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<abstract> <p>In current days, hybrid models have become more essential in a wide range of systems, including medical treatment, aerosol particle handling, laboratory instrument design, industry and naval academia, and more. The influence of linear, nonlinear, and quadratic Rosseland approximations on 3D flow behavior was explored in the presence of Fourier fluxes and Boussinesq quadratic thermal oscillations. Ternary hybrid nanoparticles of different shapes and densities were also included. Using the necessary transformation, the resulting partial differential system is transforme

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Saprykina, Yana, Burak Aydogan, and Berna Ayat. "Wave Energy Dissipation of Spilling and Plunging Breaking Waves in Spectral Models." Journal of Marine Science and Engineering 10, no. 2 (2022): 200. http://dx.doi.org/10.3390/jmse10020200.

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On the basis of field experiments and modeling, the dependence of the dissipation of the energy of waves breaking by plunging and spilling on the frequency of wave spectra was investigated. It was shown that the modeling of wave breaking should take into account the compensation of the nonlinear growth of higher wave harmonics, which occurs in different ways for waves breaking with different types and for different methods of modeling a nonlinear source term. The study revealed that spilling breaking waves have a frequency selectivity of energy dissipation at frequencies of second and third ha

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Hassan, A. R., S. O. Salawu, A. B. Disu, and O. R. Aderele. "Thermodynamic analysis of a tangent hyperbolic hydromagnetic heat generating fluid in quadratic Boussinesq approximation." Journal of Computational Mathematics and Data Science 4 (August 2022): 100058. http://dx.doi.org/10.1016/j.jcmds.2022.100058.

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Srinivas Reddy, C., B. Mahanthesh, P. Rana, and K. S. Nisar. "Entropy generation analysis of tangent hyperbolic fluid in quadratic Boussinesq approximation using spectral quasi-linearization method." Applied Mathematics and Mechanics 42, no. 10 (2021): 1525–42. http://dx.doi.org/10.1007/s10483-021-2773-8.

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Ohaegbue, A. D., S. O. Salawu, R. A. Oderinu, E. O. Fatunmbi, and A. O. Akindele. "Thermal dissipation of two-step combustible tangent hyperbolic fluid with quadratic Boussinesq approximation and convective cooling." Results in Materials 22 (June 2024): 100565. http://dx.doi.org/10.1016/j.rinma.2024.100565.

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Alboussière, Thierry, and Yanick Ricard. "Rayleigh–Bénard stability and the validity of quasi-Boussinesq or quasi-anelastic liquid approximations." Journal of Fluid Mechanics 817 (March 16, 2017): 264–305. http://dx.doi.org/10.1017/jfm.2017.108.

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The linear stability threshold of the Rayleigh–Bénard configuration is analysed with compressible effects taken into account. It is assumed that the fluid under investigation obeys a Newtonian rheology and Fourier’s law of thermal transport with constant, uniform (dynamic) viscosity and thermal conductivity in a uniform gravity field. Top and bottom boundaries are maintained at different constant temperatures and we consider here mechanical boundary conditions of zero tangential stress and impermeable walls. Under these conditions, and with the Boussinesq approximation, Rayleigh (Phil. Mag., v

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Opadiran, Sunday Iyiola, and Samuel Segun Okoya. "Influence of Non-Linear Radiation and Viscous Dissipation on the Convective Fluid Flow with Variable Viscosity and Quadratic Boussinesq Approximation across a Cylinder with Uniform Heat Flux at the Wall." Defect and Diffusion Forum 419 (October 20, 2022): 37–56. http://dx.doi.org/10.4028/p-xw16zz.

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This study examines the effect of non-linear radiation and viscous dissipation on the convective Newtonian fluid flow with temperature-dependent viscosity and the quadratic Boussinesq approximation around a cylinder with uniform heat flux at the wall. The coupled partial differential equations of the problem are non-dimensionalized with appropriate variables and reduced via stream functions. Regular perturbation technique is employed to transform the nonlinear coupled partial differential equations into a system of nonlinear coupled ordinary differential equations solved using the Trapezoidal

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9

Okoya, Samuel S., Anthony Rotimi Hassan, and Sulyman Olakunle Salawu. "ON FREE CONVECTION FLOW OF A MOVING VERTICAL PERMEABLE PLATE WITH QUADRATIC BOUSSINESQ APPROXIMATION AND VARIABLE THERMAL CONDUCTIVITY." Heat Transfer Research 52, no. 7 (2021): 55–66. http://dx.doi.org/10.1615/heattransres.2021037973.

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10

Fujimura, K., and S. Yamada. "Hexagons and triangles in the Rayleigh–Bénard problem: quintic-order equations on a hexagonal lattice." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 464, no. 2098 (2008): 2721–39. http://dx.doi.org/10.1098/rspa.2007.0340.

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On a weakly nonlinear basis, we revisit the pattern formation problem in the Boussinesq convection, for which nonlinear terms of the quadratic order are known to vanish from amplitude equations. It is thus necessary to proceed to the quintic-order approximation in order for the amplitude equations to be generic. By deriving the quintic amplitude equations from the governing PDEs, we examined the bifurcation of steady solutions under rigid–free, rigid–rigid and free–free boundary conditions. Right above the criticality, all the axial solutions are obtained including up- and down-hexagons under

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Dissertations / Theses on the topic "Quadratic Boussinesq approximation"

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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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Book chapters on the topic "Quadratic Boussinesq approximation"

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Mahanthesh, B. "Quadratic radiation and quadratic Boussinesq approximation on hybrid nanoliquid flow." In Mathematical Fluid Mechanics. De Gruyter, 2021. http://dx.doi.org/10.1515/9783110696080-002.

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Conference papers on the topic "Quadratic Boussinesq approximation"

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Topcuoglu, Ilker, Robert F. Kunz, and Robert W. Smith. "A Computational Investigation of Dynamic Stabilization of Rayleigh-Bénard Convection Under System Acceleration." In ASME 2020 Heat Transfer Summer Conference collocated with the ASME 2020 Fluids Engineering Division Summer Meeting and the ASME 2020 18th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/ht2020-9020.

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Abstract The static and dynamic stability of Rayleigh-Bénard convection in a rectangular flow domain is computationally investigated. Sinusoidal vertical oscillations are applied to the system to provide dynamic flow stabilization. Stability maps are produced for a range of flow and heating conditions, and are compared to experimental measurements and linear stability analysis predictions from existing literature. Density variation is introduced through: 1) the Boussinesq approximation, 2) a linearly varying temperature dependent equation of state (EOS) and 3) the perfect gas EOS. Significant

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