TY - JOUR
T1 - Bifurcation and stability of forced convection in tightly coiled ducts: Multiplicity
AU - Wang, Liqiu
AU - Pang, Ophelia
AU - Cheng, Lin
N1 - Funding Information:
Authors are indebted to Dr. T. L. Yang for his discussion on numerical methods and computer code. The financial support from the Research Grants Council of Hong Kong (RGC) and the Outstanding Young Researcher Award of the University of Hong Kong to LW is gratefully acknowledged.
PY - 2005/10
Y1 - 2005/10
N2 - A numerical study is made on the fully developed bifurcation structure of the forced convection in tightly coiled ducts of square cross-section. In addition to the examination of structural changes of three known solution branches found in loosely coiled ducts, three new solution branches are found. These new branches are isolated from the three known branches. The flows on these new branches are in a symmetric 4-cell state, a symmetric 8-cell state, an asymmetric 2-cell state, an asymmetric 5-cell state, an asymmetric 7-cell state, or an asymmetric 8-cell structure.
AB - A numerical study is made on the fully developed bifurcation structure of the forced convection in tightly coiled ducts of square cross-section. In addition to the examination of structural changes of three known solution branches found in loosely coiled ducts, three new solution branches are found. These new branches are isolated from the three known branches. The flows on these new branches are in a symmetric 4-cell state, a symmetric 8-cell state, an asymmetric 2-cell state, an asymmetric 5-cell state, an asymmetric 7-cell state, or an asymmetric 8-cell structure.
UR - https://www.scopus.com/pages/publications/18544382977
U2 - 10.1016/j.chaos.2004.12.026
DO - 10.1016/j.chaos.2004.12.026
M3 - Journal article
AN - SCOPUS:18544382977
SN - 0960-0779
VL - 26
SP - 337
EP - 352
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 2
ER -