Abstract
This article presents the homotopy perturbation method (HPM) employed to investigate the effects of inclination on the thermal behavior of a porous fin heat sink. The study aims to review the thermal characterization of heat sink with the inclined porous fin of rectangular geometry. The study establishes that heat sink of an inclined porous fin shows a higher thermal performance compared to a heat sink of equal dimension with a vertical porous fin. In addition, the study also shows that the performance of inclined or tilted fin increases with decrease in length–thickness aspect ratio. The study further reveals that increase in the internal heat generation variable decreases the fin temperature gradient, which invariably decreases the heat transfer of the fin. The obtained results using HPM highlights the accuracy of the present method for the analysis of nonlinear heat transfer problems, as it agrees well with the established results of Runge–Kutta.
Highlights
With the increasing demand for high-performance electronic systems of miniaturized packaging, electronic cooling, and subsequently, the thermal enhancement of heat transfer components is rapidly gaining more attention
Fin application is identified as a viable approach for enhancing thermal performance of different systems following the research breakthrough of [1]
It is established that the inclined porous fin in heat sink shows improved thermal performance than the corresponding vertical heat sink of the same size and geometry
Summary
With the increasing demand for high-performance electronic systems of miniaturized packaging, electronic cooling, and subsequently, the thermal enhancement of heat transfer components is rapidly gaining more attention. Different authors have applied different methods including analytical, numerical, and hybrid; i.e. a combination of two or more methods to investigate the thermal behaviour of fin under different operating conditions. Example of these methods include: Runge–Kutta [4,5,6], Galerkin’s method of weighted residual [7,8], least squares method [9], and various collocation methods, including. F inclination on the thermal performance of solid or porous fin heat sinks have not been cIanrrthieids aorutitcilne,tthheelhitoermatoutorep.y perturbation method (HPM) is applied to theoretically investigate the Ienffethctisoafritniccllei,ntahteiohnoamnodtoinptyerpnearltuhrebaattigoennmereatthioond o(Hn PthMe)tihsearpmpalliebdehtoavthioeroroeftiacaplloyroinuvsefistnighaeteat thsienkef.feHctPMof iisncalnineaftfiiocnienant dapipnrteorxnimalahteeaatngaelynteircaatlioanppornoatchhe uthseerfumlaflobrebhoauvniodraroyf vaapluoeropursobfilnemhesaats ssinhko.wHnPiMn tihseanpreefsfeicnitenwt oarpkparonxdimisatinedaenpaelyntdiceanltaopnpraoasmchaullspefaurlamfoertberouinndthareygvoavleurenipnrgobelqemuastiaosn. Equation (8) becomes the nonlinear dimensionless thermal model, and the dimensionless boundary condition becomes
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call