Sinc–Galerkin approach for thermal analysis of moving porous fin subject to nanoliquid flow with different shaped nanoparticles

Abstract

In this article, for the first time, a powerful numerical approach, named Sinc–Galerkin algorithm, is employed to explore the thermal performance of moving porous fin subject to nanoliquid flow. Different configurations of‏ ‏nanoparticle such as needle, sphere and disk shapes are considered here. The nonlinear differential equation is introduced and nondimensionalized. The presented governing equation is a nonlinear two-point boundary value problem which has been reduced to a system of nonlinear equations by means of Sinc–Galerkin approach. In order to deal with the ordinary differential equations, the vector matrix from is obtained and then the Newton iteration method is performed. The numerical results are graphically shown for different system parameters, and the impact of shaped nanoparticles on the enhancement of thermal behavior of porous fins is addressed and discussed. It is found that the nanoparticle with sphere configuration has the best influence on the rate of heat flux compared to other shaped nanoparticles. Moreover, it is revealed that the effect of wet porous parameter is to enhance the thermal features of permeable fins.