Доступ предоставлен для: Guest
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Heat Transfer Research
Импакт фактор: 0.404 5-летний Импакт фактор: 0.8 SJR: 0.264 SNIP: 0.504 CiteScore™: 0.88

ISSN Печать: 1064-2285
ISSN Онлайн: 2162-6561

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

Краткое описание

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.