Performance and Optimization Analysis for Fins of Straight Taper With Simultaneous Heat and Mass Transfer

Abstract

An analytical method based on Frobenius power series expansion has been developed for the performance prediction of fully wet fins. Fins of different geometries, namely, longitudinal, annular and spine having both trapezoidal and triangular profiles have been considered. Unlike dry fins, the efficiency and effectiveness of wet fins depend on the fin base temperature and psychrometric condition of the ambient air. A generalized criterion has been derived for the optimization of wet fins having the above geometries. A method for constructing design curves for the optimum fins has also been discussed.

Efficiency and optimization of straight fins with combined heat and mass transfer – An analytical solution

“…In McQuiston's method, the parameter m is equal to m o (1 + CB) 1/2 , where C is a constant defined in Eq. (9). It is important to emphasize that in Wu's method, the parameter m is equal to m o (1 + b 1 B) 1/2 , where b 1 is defined in Eq.…”

“…Kundu and Das [9] developed a generalized analytical technique for longitudinal, annular and spine fins under dry and fully wet conditions. Their mathematical formulation was based on the assumption of a linear relationship between temperature and specific humidity, while the method of Frobenius power series expansion has been used to solve the governing differential equation.…”

An appropriate analysis for optimum design of wet fins based on modified 1-D and 2-D approaches

“…Therefore, from the global optimization point of view, there is no such optimum design aspect existed for the optimum design analysis of fins. However, all the previous researchers performed the optimum design analysis of fins based on the local condition [6,7,11,27] which provides an under value for a maximum heat transfer per unit volume. With an increase in Bi for a constant fin volume, the geometrical parameter w always increases.…”

“…Performance analysis of partially wet fin assembly has been investigated by El-Din Sala [10]. For determination of the fin performance and optimization of wet fins of longitudinal, spine, and annular geometry with trapezoidal profile, Kundu and Das [11] carried out a unified investigation whereas Rosario and Rahman [12] determined the overall fin efficiency of wet radial fin assembly. From the literature survey for the above wet fins, the analyses have been performed based on the humidity ratio of saturated air as a linear function with local fin surface temperature.…”

Optimum Fin Profile under Dry and Wet Surface Conditions

“…Later an extensive analytical works on the performance and optimization analysis of wet fins was carried out by applying this linear relationship. A technique to determine the performance and optimization of straight tapered longitudinal fins subject to simultaneous heat and mass transfer has been established analytically by Kundu (2002) and Kundu and Das (2004). The performance and optimum dimensions of a new fin, namely, SRC profile subject to simultaneous heat and mass transfer have been investigated by Kundu (2007a;2009a).…”