TY - JOUR
T1 - Two finite-element schemes for steady convective heat transfer with system rotation and variable thermal properties
AU - Yang, Danping
AU - Wang, Liqiu
N1 - Funding Information:
Received 21 November 2003; accepted 2 July 2004. Danping Yang is supported by the State Major Basic Research Program and the Research Fund for Doctoral Program of High Education by the State Education Ministry of China. Liqiu Wang is supported by the Research Grants Council of Hong Kong (HKU7086/00E) and the Outstanding Young Researcher Award, the University of Hong Kong. Address correspondence to Liqiu Wang, Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, People’s Republic of China. E-mail: [email protected]
PY - 2005/4
Y1 - 2005/4
N2 - We develop standard and mixed finite-element schemes for steady convective heat transfer with system rotation, temperature-dependent density and viscosity. Existence and convergence are proven for the two schemes. They are shown to be globally convergent and capable of capturing both nonsingular and singular solutions. The convergence rate is found to be optimal in H1-norm and L2-norm for nonsingular solutions.
AB - We develop standard and mixed finite-element schemes for steady convective heat transfer with system rotation, temperature-dependent density and viscosity. Existence and convergence are proven for the two schemes. They are shown to be globally convergent and capable of capturing both nonsingular and singular solutions. The convergence rate is found to be optimal in H1-norm and L2-norm for nonsingular solutions.
UR - http://www.scopus.com/inward/record.url?scp=16244385613&partnerID=8YFLogxK
U2 - 10.1080/10407790590901602
DO - 10.1080/10407790590901602
M3 - Journal article
AN - SCOPUS:16244385613
SN - 1040-7790
VL - 47
SP - 343
EP - 360
JO - Numerical Heat Transfer, Part B: Fundamentals
JF - Numerical Heat Transfer, Part B: Fundamentals
IS - 4
ER -