Thermal Performance Evaluation of Longitudinal Fins with Various Profiles Using Homotopy Perturbation Method

Irandegani, Arman; Sanjaranipour, Murteza; Sarhaddi, Faramarz

doi:10.1007/s40995-020-00973-6

Cited by 4 publications

(1 citation statement)

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“…The study of variable profile fin opens the opportunity to optimize and thus yield better utilization of fin materials. The effect of variable profile on steady-state fins [40][41][42][43] and unsteady state fins [44][45][46][47][48][49] have been reported in several studies by researchers. Nguyen and Aziz 40 investigated the thermal performance of longitudinal fin having four different profiles, wherein the fin lateral surface rejects heat by means of convection and radiation while its tip remains insulated.…”

Section: Introductionmentioning

confidence: 99%

Solution of transient heat transfer in graded‐material fins of varying thickness under step changes in boundary conditions using the Lattice Boltzmann Method

Sahu

Bhowmick

2022

Heat Trans

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Graded materials (GM) possess superior thermo‐mechanical properties, which are not feasible to obtain with homogeneous materials (HM), and hence in this paper, the transient response of a longitudinal fin of varying geometry made up of GM is reported. The temperature‐dependent convection coefficient and heat generation parameters are considered to account for real‐world high‐temperature applications of fins. Fin material properties such as density and specific heat remain constant while thermal conductivity is assumed to vary axially based on four different physically possible variations namely, linear, quadratic, power, and exponential variations. The typical nonlinear differential equation obtained for fins was solved by using a mesoscopic scale‐based particle tracking method called the Lattice Boltzmann method. The Lattice Boltzmann solver has been implemented in form of an in‐house MATLAB code and validated with existing results, thereafter it is developed for solving the foregoing problems. The results obtained are reported for rectangular, triangular, convex, and concave profiles under step change in base temperature and base heat flux. The performance of graded fins is investigated in terms of time required to attain steady‐state and fin tip temperature which are inherent design parameters in the case of the transient fin. Inhomogeneity index and profile function have a significant effect on the performance of fin in terms of resistance to heat flow. Hereby, in comparison with HM fins, GM fins have lower resistance to heat flow irrespective of fin profiles. Concurrently, comparative analysis for fins of different profiles made of HM and GM is also done to facilitate the designer in selecting the most appropriate fins.

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