Performance and optimum dimensions of different cooling fins with a temperature-dependent heat transfer coefficient

Variation of parameters method for optimizing annular fins with variable thermal properties

“…(3) is suitable for heat transfer coefficients in free convection, forced convection, nucleate boiling and space radiation at zero ambient temperature in the literature [2]- [5]. The various values of m correspond to different heat transfer modes: For free convection = 1/3 or 1/4 for radiation = 3 and for boiling = 1/3, 2 or 3.…”

“…The environments in which fins having various sizes and geometries are used have different flow fields and thus various heat transfer modes. Although thermal analysis of the fins is generally performed in terms of the constant heat transfer coefficient, in reality, heat transfer coefficients for different heat transfer modes are the functions of the temperature difference between the fins and the environment [2]. There are many studies in the literature considering the variation of the heat transfer coefficient [2]- [6].…”

“…Although thermal analysis of the fins is generally performed in terms of the constant heat transfer coefficient, in reality, heat transfer coefficients for different heat transfer modes are the functions of the temperature difference between the fins and the environment [2]. There are many studies in the literature considering the variation of the heat transfer coefficient [2]- [6]. Laor and Kalman [2] presented a therotical-numerical analysis of longitudinal and annular fins which subject to a temperaturedependent heat transfer coefficient.…”

“…There are many studies in the literature considering the variation of the heat transfer coefficient [2]- [6]. Laor and Kalman [2] presented a therotical-numerical analysis of longitudinal and annular fins which subject to a temperaturedependent heat transfer coefficient. The thermal analysis of the annular rectangular profile fins with variable thermal properties is investigated by using the homotopy analysis method [3].…”

A New Look at Optimum Design for Convecting-Radiating Annular Fins of Trapezoidal Profile

“…Meanwhile, the general reviews by Aziz and Kraus [10] and Razelos [11] as well as a current treatise of extended surface heat transfer by Kraus et al [12] have not pointed out the otherwise. Laor and Kalman [13] specifically claimed that the optimum design always exists. Although the authors also considered the tip heat loss in the study of rectangular annular fins, they drew the above conclusion by referring to their previous work [14], which neglected heat loss at the fin tip.…”