TY - JOUR
T1 - Forced convection in tightly coiled ducts: Bifurcation in a high Dean number region
AU - Wang, Liqiu
AU - Liu, Fang
N1 - Funding Information:
Authors are indebted to Dr. T.L. Yang for his discussion on numerical methods and computer codes. The financial support from the Research Grants Council of Hong Kong (RGC: HKU7049/06P) to L.W. is gratefully acknowledged.
PY - 2007/10
Y1 - 2007/10
N2 - The present numerical study is on the fully developed bifurcation structure of forced convection in a tightly coiled duct of square cross-section and curvature ratio of 0.5 in a high Dean number region. Ten solution branches, two symmetric and eight asymmetric, are found. Among them, one symmetric branch and seven asymmetric branches have not been reported in the literature. On these new branches, the flow has a structural 2-, 4-, 5-, 6-, 7- or 8-cell. The mean friction factor and Nusselt number are different on various solution branches. In tightly coiled ducts, the secondary flow enhances the heat transfer more significantly than the friction increase.
AB - The present numerical study is on the fully developed bifurcation structure of forced convection in a tightly coiled duct of square cross-section and curvature ratio of 0.5 in a high Dean number region. Ten solution branches, two symmetric and eight asymmetric, are found. Among them, one symmetric branch and seven asymmetric branches have not been reported in the literature. On these new branches, the flow has a structural 2-, 4-, 5-, 6-, 7- or 8-cell. The mean friction factor and Nusselt number are different on various solution branches. In tightly coiled ducts, the secondary flow enhances the heat transfer more significantly than the friction increase.
KW - Bifurcation
KW - Forced convection
KW - High Dean number region
KW - Tightly coiled ducts
UR - http://www.scopus.com/inward/record.url?scp=34948861202&partnerID=8YFLogxK
U2 - 10.1016/j.ijnonlinmec.2007.05.005
DO - 10.1016/j.ijnonlinmec.2007.05.005
M3 - Journal article
AN - SCOPUS:34948861202
SN - 0020-7462
VL - 42
SP - 1018
EP - 1034
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
IS - 8
ER -