Fibonacci Wavelet Approach for Modeling Heat Transfer in Microchannels Using Multi‐Component Nanofluids

ABSTRACT

This study investigates the flow of a tetrahybrid nanofluid in both horizontal and vertical microchannels, marking a novel exploration in this area. Tetrahybrid nanofluids, composed of four different nanoparticles dispersed in a base fluid, are known for their superior thermal conductivity compared to nanofluids containing a single type of nanoparticle. The analysis considers the effects of thermal radiation, an exponential space‐dependent heat source, and a magnetic field within the thermal energy equation, along with slip and convective boundary conditions in the flow. The governing equations are first nondimensionalized and then solved semi‐analytically using a novel approach known as the Fibonacci wavelet method. The findings indicate that the Reynolds number exhibits a dual influence on the thermal profile in horizontal microchannels. The Eckert number and heat source have a more significant impact on the thermal field in horizontal microchannels. Additionally, the Hartmann number notably affects the skin friction coefficient with variations in volume fraction particularly in horizontal microchannels. Conversely, the influence of the Hartmann number on the Nusselt number is more evident in vertical microchannels as the Reynolds number varies. The outcomes of this study provide valuable insights for the design and optimization of advanced thermal management systems, including microelectronics cooling, micro heat exchangers, biomedical devices, energy systems, and microreactors, where enhanced heat transfer performance is of critical importance.