Library Subscription: Guest

STUDY OF NATURAL CONVECTION WITH A STABILIZED FINITE ELEMENT FORMULATION

Volume 9, Issue 6, 2017, pp. 513-527
DOI: 10.1615/ComputThermalScien.2017018186
Get accessGet access

ABSTRACT

In this work we study two cases of natural convection using a second-order finite element formulation stabilized by local time-steps. The pressure, velocity, and temperature fields are determined from procedures that use the mass conservation law, the Navier-Stokes equations, and the convection-diffusion energy equation, employing a second-order scheme. A Taylor-Galerkin methodology is first applied to determine the pressure field at each time step, in a process that combines the continuity equation and the Navier-Stokes equations. Once the pressure field has been determined, the velocity and temperature fields are solved by another second-order time-accurate procedure on momentum and energy equations. A least-squares minimization procedure from the previous residuals leads to a set of discretized equations for temperature and velocity fields. The finite element method is naturally stabilized by the process, where local time-steps, chosen according to the time scales of convection-diffusion of momentum and energy, play the role of stabilization parameters. Results are given for quasi-incompressible viscous flows and heat transfer for transient and steady states for two-dimensional free convection in a square cavity and from a hot horizontal cylinder utilizing the described method. Numerical investigations were carried out for the Rayleigh number range 104 ≤ Ra ≤ 108. Excellent agreement with previously published experimental and computational results has been obtained.

CITED BY
  1. Kravets Elena, Determining the structure of a laminar detachable current in an open cavity, Eastern-European Journal of Enterprise Technologies, 6, 8 (102), 2019. Crossref

Forthcoming Articles

Positivity Preserving Analysis of Central Schemes for Compressible Euler Equations Souren Misra, Alok Patra, Santosh Kumar Panda A lattice Boltzmann study of nano-magneto-hydrodynamic flow with heat transfer and entropy generation over a porous backward facing-step channel Hassane NAJI, Hammouda Sihem, Hacen Dhahri A Commemorative Volume in Memory of Darrell Pepper David Carrington, Yogesh Jaluria, Akshai Runchal In Memoriam: Professor Darrell W. Pepper – A Tribute to an Exceptional Engineering Educator and Researcher Akshai K. Runchal, David Carrington, SA Sherif, Wilson K. S. Chiu, Jon P. Longtin, Francine Battaglia, Yongxin Tao, Yogesh Jaluria, Michael W. Plesniak, James F. Klausner, Vish Prasad, Alain J. Kassab, John R. Lloyd, Yelena Shafeyeva, Wayne Strasser, Lorenzo Cremaschi, Tom Shih, Tarek Abdel-Salam, Ryoichi S. Amano, Ashwani K. Gupta, Nesrin Ozalp, Ting Wang, Kevin R. Anderson, Suresh Aggarwal, Sumanta Acharya, Farzad Mashayek, Efstathios E. Michaelides, Bhupendra Khandelwal, Xiuling Wang, Shima Hajimirza, Kevin Dowding, Sandip Mazumder, Eduardo Divo, Rod Douglass, Roy E. Hogan, Glen Hansen, Steven Beale, Perumal Nithiarasu, Surya Pratap Vanka, Renato M. Cotta, John A. Reizes, Victoria Timchenko, Ashoke De, Keith A Woodbury, John Tencer, Aaron P. Wemhoff, G.F. ‘Jerry’ Jones, Leitao Chen, Timothy S. Fisher, Sandra K. S. Boetcher, Patrick H. Oosthuizen, Hamidreza Najafi, Brent W. Webb, Satwindar S. Sadhal, Amanie Abdelmessih Modeling of Two-Phase Gas-Liquid Slug Flows in Microchannels Ayyoub Mehdizadeh Momen, SA Sherif, William E. Lear Performance of two dimensional planar curved micronozzle used for gas separation Manu K Sukesan, Shine SR A Localized Meshless Method for Transient Heat Conduction with Applications Kyle Beggs, Eduardo Divo, Alain J. Kassab Non-nested Multilevel Acceleration of Meshless Solution of Heat Conduction in Complex Domains Anand Radhakrishnan, Michael Xu, Shantanu Shahane, Surya P Vanka Assessing the Viability of High-Capacity Photovoltaic Power Plants in Diverse Climatic Zones : A Technical, Economic, and Environmental Analysis Kadir Özbek, Kadir Gelis, Ömer Özyurt MACHINE LEARNING LOCAL WALL STEAM CONDENSATION MODEL IN PRESENCE OF NON-CONDENSABLE FROM TUBE DATA Pavan Sharma LES of Humid Air Natural Convection in Cavity with Conducting Walls Hadi Ahmadi moghaddam, Svetlana Tkachenko, John Reizes, Guan Heng Yeoh, Victoria Timchenko
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections Prices and Subscription Policies Begell House Contact Us Language English 中文 Русский Português German French Spain