Since 1963
ARTICLE
Natural convection in a partially heated cylinder: A numerical study
1
Escuela Nacional de Estudios Superiores, Unidad Morelia, Universidad Nacional Autónoma de México, Morelia, Michoacán, México
2
Instituto de Investigaciones en Materiales, Unidad Morelia, Universidad Nacional Autónoma de México, Morelia, Michoacán, México
Submission date: 2021-05-25
Final revision date: 2021-07-02
Acceptance date: 2021-07-05
Online publication date: 2021-09-28
Publication date: 2021-10-20
Corresponding author
José Núñez
Escuela Nacional de Estudios Superiores, Unidad Morelia, Universidad Nacional Autónoma de México, Mexico
Escuela Nacional de Estudios Superiores, Unidad Morelia, Universidad Nacional Autónoma de México, Mexico
Journal of Theoretical and Applied Mechanics 2021;59(4):623-636
KEYWORDS
TOPICS
ABSTRACT
This work presents a numerical study on a natural convective flow in a cylindrical container
heated from below, cooled from above, and partially heated from the lateral wall. Mass,
momentum and energy equations were solved with a developed hybrid Fourier-finite volume
code and validated with the commercial software COMSOL Multiphysics for steady-state
solutions. The primary solutions correspond to steady-states Cm with azimuthal wavenumbers
m. The results show mode competition between different states leading to many flow
solutions including steady axisymmetric, steady non-axisymmetric, time-dependent pulsating
wave solutions, and other flow states with a variety of spatiotemporal symmetries.
REFERENCES (30)
1.
Al-Rashed A., Kolsi L., Hussein A.K., Hassen W., Aichouni M., Borjini M.N, 2017, Numerical study of three-dimensional natural convection and entropy generation in a cubical cavity with partially active vertical walls, Case Studies in Thermal Engineering, 10, 100-110.
2.
Beltrán A., 2017, MHD natural convection flow in a liquid metal electrode, Applied Thermal Engineering, 114, 1203-1212.
3.
Ben-Cheikh N., Campo A., Ouertatani N., Lili T., 2010, Three-dimensional study of heat and fluid flow of air and dielectric liquids filling containers partially heated from below and entirely cooled from above, International Communications in Heat and Mass Transfer, 37, 5, 449-456.
4.
Bennacer R., El Ganaoui M., Leonardi E., 2006, Symmetry breaking of melt flow typically encountered in a Bridgman configuration heated from below, Applied Mathematical Modelling, 30, 11, 1249-1261.
5.
Cianfrini C., Corcione M., Habib E., Quintino A., 2013, Convective transport in rectangular cavities partially heated at the bottom and cooled at one side, Journal of Thermal Science, 22, 1, 55-63.
6.
Crawford J.D., Knobloch E., 1991, Symmetry and symmetry-breaking bifurcations in fluid dynamics, Annual Review of Fluid Mechanics, 23, 341-387.
7.
Erenburg V., Gelfgat A.Yu., Kit E., Bar-Yoseph P.Z., Solan A., 2003, Multiple states, stability and bifurcations of natural convection in a rectangular cavity with partially heated vertical walls, Journal of Fluid Mechanics, 492, 63-89.
8.
Gelfgat A.Y., 2017, Time-dependent modeling of oscillatory instability of three-dimensional natural convection of air in a laterally heated cubic box, Theoretical and Computational Fluid Dynamics, 31, 4, 447-469.
9.
Grőtzbach G., 2013, Challenges in low-Prandtl number heat transfer simulation and modelling, Nuclear Engineering and Design, 264, 41-55.
10.
Guestal M., Kadja M., Hoang M.T., 2018, Study of heat transfer by natural convection of nanofluids in a partially heated cylindrical enclosure, Case Studies in Thermal Engineering, 11, 135-144.
11.
Gutierrez-Castillo P., Lopez J.M., 2017, Nonlinear mode interactions in a counter-rotating split-cylinder flow. Journal of Fluid Mechanics, 816, 719-745.
12.
Hasnaoui M., Bilgen E., Vasseur P., 1992, Natural convection heat transfer in rectangular cavities partially heated from below, Journal of Thermophysics and Heat Transfer, 6, 2, 255-264.
13.
Horanyi S., Krebs L., Müller U., 1999, Turbulent Rayleigh-Bénard convection in low Prandtl-numer fluids, International Journal of Heat and Mass Transfer, 42, 21, 3983-4003.
14.
Kelley D.H., Sadoway D.R., 2014, Mixing in a liquid metal electrode, Physics of Fluids, 26, 5, 057102.
15.
Lappa M., 2005, Review: Thermal convection and related instabilities in models of crystal growth from the melt on Earth and in microgravity: Past history and current status, Crystal Research and Technology, 40, 6, 531-549.
17.
Lopez J.M., Marques F., 2008, Centrifugal effects in rotating convection: nonlinear dynamics, Journal of Fluid Mechanics, 628, 269.
18.
Mohamad A.A., Viskanta R., 1991, Transient natural convection of low-Prandtl-number fluids in a differentially heated cavity, International Journal for Numerical Methods in Fluids, 13, 1, 61-81.
19.
Nam P.-O., Yi K.-W., 2010, Simulation of the thermal fluctuation according to the melt height in a CZ growth system, Journal of Crystal Growth, 312, 8, 1453-1457.
20.
Nascimento G., Lugarini A., Germer E.M., Franco A.T., 2019, A simple homogeneous numerical solution for nanofluid natural convection in an enclosure with disconnected and conducting solid blocks, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41, 6, 262.
21.
Nithyadevi N., Kandaswamy P., Lee J., 2007, Natural convection in a rectangular cavity with partially active side walls, International Journal of Heat and Mass Transfer, 50, 23-24, 4688-4697.
22.
Núñez J., Beltrán A., 2018, On the onset of natural convection in a partially cooled cylinder, Heat Transfer Research, 49, 8, 773-786.
23.
Núñez J., López-Caballero M., Ramos E., Hernández-Cruz G., Vargas M., Cuevas S., 2012a, Verification and experimental validation of a numerical simulation of natural convection in a slender cylinder, International Journal of Heat and Fluid Flow, 38, 118-125.
24.
Núñez J., Ramos E., López J.M., 2012b, A mixed Fourier-Galerkin finite-volume method to solve the fluid dynamics equations in cylindrical geometries, Fluid Dynamics Research, 44, 3, 031414.
25.
Padilla E.L.M., Lourenço M.A.S., Silveira-Neto A., 2013, Natural convection inside cubical cavities: numerical solutions with two boundary conditions, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 35, 3, 275-283.
26.
Patankar S.V., Spalding D.B., 1972, A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows, International Journal of Heat and Mass Transfer, 15, 10, 1787-1806.
27.
Ramírez G., Núñez J., Hernández-Cruz G., Ramos E., 2020, Natural convective three-dimensional flow structure in a cylindrical container, International Communications in Heat and Mass Transfer, 116, 104616.
28.
Shen Y., Zikanov O., 2016, Thermal convection in a liquid metal battery, Theoretical and Computational Fluid Dynamics, 30, 4, 275-294.
29.
Son S.S., Yi K.W., 2005, Experimental study on the effect of crystal and crucible rotations on the thermal and velocity field in a low Prandtl number melt in a large crucible, Journal of Crystal Growth, 275, 1-2.
30.
Varol Y., Oztop H.F., Koca A., Ozgen F., 2009, Natural convection and fluid flow in inclined enclosure with a corner heater, Applied Thermal Engineering, 29, 2-3, 340-350.
Share
RELATED ARTICLE
| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
