A numerical bifurcation analysis is carried out in order to determine the solution structure of longitudinal fins subject to multi-boiling heat transfer mode. The thermal analysis can no longer be performed independently of the working fluid since the heat transfer coefficient is temperature dependent and includes the nucleate, the transition and the film boiling regimes where the boiling curve is obtained experimentally for a specific fluid. The heat transfer process is modeled using one-dimensional heat conduction with or without heat transfer from the fin tip. Furthermore, five fin profiles are considered: the constant thickness, the trapezoidal, the triangular, the convex parabolic and the parabolic. The multiplicity structure is obtained in order to determine the different types of bifurcation diagrams, which describe the dependence of a state variable of the system (for instance the fin temperature or the heat dissipation) on a design (Conduction-Convection Parameter) or operation parameter (base Temperature Difference). Specifically the effects of the base Temperature Difference, of the Conduction-Convection Parameter and of the Biot number are analyzed and presented in several diagrams since it is important to know the behavioral features of the heat rejection mechanism such as the number of the possible steady states and the influence of a change in one or more operating variables to these states.
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Analysis of Multiplicity Phenomena in Longitudinal Fins Under Multi-Boiling Conditions
Rizos N. Krikkis,
Rizos N. Krikkis
University of Thessaly, Department of Mechanical and Industrial Engineering, Thermal Engineering Section, Pedion Areos 38334, Volos, Greece
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Stratis V. Sotirchos, Professor, Research Director,,
Stratis V. Sotirchos, Professor, Research Director,
Department of Chemical Engineering, University of Rochester, Rochester, NY 14627, USA
Institute of Chemical Engineering and High Temperature Chemical Processes, P.O. Box 1414, Stadiou St., Platani, 26 500 Patras, Greece
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Panagiotis Razelos, Mem. ASME, Professor Emeritus,
Panagiotis Razelos, Mem. ASME, Professor Emeritus,
College of Staten Island, CUNY, New York, USA
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Rizos N. Krikkis
University of Thessaly, Department of Mechanical and Industrial Engineering, Thermal Engineering Section, Pedion Areos 38334, Volos, Greece
Stratis V. Sotirchos, Professor, Research Director,
Department of Chemical Engineering, University of Rochester, Rochester, NY 14627, USA
Institute of Chemical Engineering and High Temperature Chemical Processes, P.O. Box 1414, Stadiou St., Platani, 26 500 Patras, Greece
Panagiotis Razelos, Mem. ASME, Professor Emeritus,
College of Staten Island, CUNY, New York, USA
Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received by the Heat Transfer Division November 20, 2002; revision received September 23, 2003. Associate Editor: G. S. Dulikravich.
J. Heat Transfer. Feb 2004, 126(1): 1-7 (7 pages)
Published Online: March 10, 2004
Article history
Received:
November 20, 2002
Revised:
September 23, 2003
Online:
March 10, 2004
Citation
Krikkis, R. N., Sotirchos, S. V., and Razelos, P. (March 10, 2004). "Analysis of Multiplicity Phenomena in Longitudinal Fins Under Multi-Boiling Conditions ." ASME. J. Heat Transfer. February 2004; 126(1): 1–7. https://doi.org/10.1115/1.1643088
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