Rizos N.
Krikkis Stratis V.
Sotirchos Panagiotis
Razelos ABSTRACT A numerical bifurcation analysis is carried out in order to determine the solution structure of pin fins subject to multiboiling heat transfer mode. The thermal analysis depends on the working fluid because the heat transfer coefficient is temperature dependent and includes the convective, the nucleate, the transition, and the film boiling regimes. The heat transfer process is modeled using one-dimensional heat conduction with or without heat transfer from the fin tip. Five fin profiles are considered: the cylindrical, 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, fin temperature or 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 and compared with experimental data available in the literature.
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