The study demonstrated that trapezoidal collectors improve fluid distribution uniformity compared to rectangular designs, resulting in lower temperature rises and superior cooling performance. This innovation marks a pivotal advancement in developing next-generation heat sinks for data centers and high-performance devices. Further expanding on advanced microchannel systems, [PERSON] et al. [25] proposed dual-layer heat sinks with microchannels and impinging jets, incorporating chamfers to control thermal gradients and reduce peak substrate temperatures. Their design achieved a 45% increase in energy efficiency and effectively managed peak temperatures. Validated through 3D printing and numerical simulations using the RNG k-\(\varepsilon\) model, this solution proves to be highly applicable to compact, high-density thermal systems. In a complementary approach, [PERSON] et al. [26] developed a radial microchannel (RMC) cooling system incorporating features such as discontinuous walls and pin-fin arrays. This design stabilized boiling flow, minimized thermal resistance, and dissipated up to 1121 W with enhanced thermal efficiency. The RMC system is particularly suitable for applications requiring annular heat distribution, addressing critical challenges in thermal uniformity. Lastly, [PERSON] et al. [27] investigated heat transfer and flow distribution in parallel-configured microchannel heat sinks. Their work introduced a predictive model for single-phase and two-phase flow regions, utilizing HFE-7100 as the working fluid. The study emphasized the importance of managing the flow distribution in parallel systems, especially in arrayed chip configurations, and provided a robust foundation for optimizing two-phase cooling systems. Heat exchangers based on minichannels and microchannels have been widely studied due to their high efficiency in heat dissipation in compact systems. Research shows that improvements in channel geometry, flow configuration, surface roughness, scale effect assessment, and refrigerant choice can significantly impact these devices' thermal performance and pressure drop. An experimental study analyzed a heat exchanger with two layers of multiple minichannels, where demineralized water circulated independently in each channel. The layers were arranged one over the other without overlapping (zero overlapping), and the water flow was configured in a countercurrent to optimize heat exchange. The geometry of the channels had an aspect ratio of 10 and was modified to present a variable width, with 0.75 mm at the inlet and 0.25 mm at the outlet. The results showed that this configuration improved heat dissipation by up to two times compared to conventional heat exchangers and reduced temperature non-uniformity by up to 34.59% [28]. On the other hand, a numerical study investigated heat transfer in modified minichannels with triangular protrusions on their surface. As a result, the geometry optimization reduced the maximum wall temperature by 24.5% and the average temperature by 31.5%, demonstrating the effectiveness of the design in improving the thermal performance of the system [29]. Thus, microchannel heat exchangers are more challenging to manufacture; however, they present better heat transfer efficiency due to the higher surface area-to-volume ratio compared to minichannel heat exchangers, as presented in the literature [7]. In the case of minichannels, the turbulent regime is more easily achieved due to the larger hydraulic diameter, while in microchannels, according to the reviewed studies, there is no mention of a transient or turbulent regime. This is because microchannels have a reduced diameter, resulting in a higher pressure drop, dominant viscous forces, and more pronounced wall effects. This study enhances the field of mini heat exchanger optimization by utilizing a full factorial design (FFD), a chemometric approach that systematically evaluates multiple operational parameters.