TY - GEN
T1 - A Computational Simulation of Steady Natural Convection in an H-Form Cavity
AU - Loukili, Mohamed
AU - Kotrasova, Kamila
AU - Dutykh, Denys
N1 - Publisher Copyright:
© 2020, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2020
Y1 - 2020
N2 - The simulation of natural convection problem based on the Galerkin finite-element method, with the penalty finite-element formulation of the momentum balance equation, is exploited for accurate solutions of equations describing the problem of H-Form cavity differentially heated side walls. The cavity is occupied by the air whose Prandtl number is Pr = 0.71, the fluid is assumed to be steady, viscous and incompressible within thermal convection. A numerical investigation has been made for Rayleigh numbers ranging from 10 to 106 for three cases of total internal height aspects of H-Form cavity: 0%, 50%, and 85%. Firstly, the goal is to validate the numerical code used to resolve the equations governing the problem of this work. For that, we present a comparison between the profiles at the point (0.5, 0) for the u-component, and u-component obtained in previous work for simple square cavity. Further, a comparison of the averaged Nusselt number with previous works for simple square cavity is realized in order to ensure the numerical accuracy, and the validity of our considered numerical tool. Secondly, the objective is to investigate on the hydrodynamic effects of Rayleigh number for different total internal height aspects of H-Form cavity on the dynamics of natural convection. Shortly after, the ambition is to assess the heat transfer rate for different Rayleigh number for three cases of internal height aspects.
AB - The simulation of natural convection problem based on the Galerkin finite-element method, with the penalty finite-element formulation of the momentum balance equation, is exploited for accurate solutions of equations describing the problem of H-Form cavity differentially heated side walls. The cavity is occupied by the air whose Prandtl number is Pr = 0.71, the fluid is assumed to be steady, viscous and incompressible within thermal convection. A numerical investigation has been made for Rayleigh numbers ranging from 10 to 106 for three cases of total internal height aspects of H-Form cavity: 0%, 50%, and 85%. Firstly, the goal is to validate the numerical code used to resolve the equations governing the problem of this work. For that, we present a comparison between the profiles at the point (0.5, 0) for the u-component, and u-component obtained in previous work for simple square cavity. Further, a comparison of the averaged Nusselt number with previous works for simple square cavity is realized in order to ensure the numerical accuracy, and the validity of our considered numerical tool. Secondly, the objective is to investigate on the hydrodynamic effects of Rayleigh number for different total internal height aspects of H-Form cavity on the dynamics of natural convection. Shortly after, the ambition is to assess the heat transfer rate for different Rayleigh number for three cases of internal height aspects.
KW - H-Form cavity
KW - Heat transfer
KW - Natural convection
KW - Nusselt number
KW - Rayleigh number
UR - http://www.scopus.com/inward/record.url?scp=85098106049&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-63319-6_15
DO - 10.1007/978-3-030-63319-6_15
M3 - Conference contribution
AN - SCOPUS:85098106049
SN - 9783030633189
T3 - Advances in Intelligent Systems and Computing
SP - 164
EP - 177
BT - Software Engineering Perspectives in Intelligent Systems - Proceedings of 4th Computational Methods in Systems and Software 2020
A2 - Silhavy, Radek
A2 - Silhavy, Petr
A2 - Prokopova, Zdenka
PB - Springer Science and Business Media Deutschland GmbH
T2 - 4th Computational Methods in Systems and Software, CoMeSySo 2020
Y2 - 14 October 2020 through 17 October 2020
ER -