Abo Bibliothek: Guest
Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen
Heat Transfer Research
Impact-faktor: 0.404 5-jähriger Impact-Faktor: 0.8 SJR: 0.264 SNIP: 0.504 CiteScore™: 0.88

ISSN Druckformat: 1064-2285
ISSN Online: 2162-6561

Volumen 50, 2019 Volumen 49, 2018 Volumen 48, 2017 Volumen 47, 2016 Volumen 46, 2015 Volumen 45, 2014 Volumen 44, 2013 Volumen 43, 2012 Volumen 42, 2011 Volumen 41, 2010 Volumen 40, 2009 Volumen 39, 2008 Volumen 38, 2007 Volumen 37, 2006 Volumen 36, 2005 Volumen 35, 2004 Volumen 34, 2003 Volumen 33, 2002 Volumen 32, 2001 Volumen 31, 2000 Volumen 30, 1999 Volumen 29, 1998 Volumen 28, 1997

Heat Transfer Research

DOI: 10.1615/HeatTransRes.2019028547
Forthcoming Article

Numerical solution to natural convection flow in enclosures – An implicit vorticity boundary condition type method

Nagesh Babu Balam
CSIR - Central Building Research Institute
Akhilesh Gupta
Indian Institute of Technology, Roorkee


This paper presents a numerical method for solving viscous incompressible Navier-stokes equations and its application to natural convection flow. A generalised solution methodology based on existing Vorticity – Streamfunction methods is developed to show that the vorticity boundary condition being implemented is explicit in nature. A novel numerical solution method of Vorticity – Streamfunction formulation is proposed by implementing the Vorticity boundary conditions implicitly. The developed method is applied over various types of boundaries encountered in natural convection flows such as a)Regular (square/rectangular) boundary enclosures, b) Non rectangular/Irregular boundary enclosures, c)Boundary with obstructions. The results obtained closely match with standard reference results available in literature demonstrating the 2nd order overall accuracy. Convergence behaviour of implicit vorticity boundary conditions show that present method exhibits faster convergence and better stability over conventional Vorticity – Streamfunction formulation. The present method requires solution of only one Poisson equation per each iteration time step, hence reducing the overall complexity of the algorithm equivalent to solving a heat conduction type Poisson problem.