## 1 Introduction
Fe\({}_{2}\)O\({}_{3}\) and Fe\({}_{3}\)O\({}_{4}\) have received great attention, owing to their unique properties, such as being easy to fabricate, having a low cost, being non-toxic and being thermodynamically stable. Fe\({}_{2}\)O\({}_{3}\) exhibits various crystal phases (\(\alpha\), \(\beta\), \(\gamma\) and \(\epsilon\)) which enable it to be used in many applications, such as in photocatalysts, adsorbents and biological and medical applications [12], solar cells. There have been many investigations dealing with hybrid nano-composites with aluminum matrices. [PERSON] et al. (2018) studied the mechanical and physical properties of a hybrid nano-composite (Al/Al\({}_{2}\)O\({}_{3}\)/Gr) prepared by powder metallurgy. Al\({}_{2}\)O\({}_{3}\) was added by 10, 15 and 20 wt.%, whereas Gr was added by 1, 2 and 3 wt.%. The microstructure analysis was defined using FESEM, XRD and EDS. The results of FESEM, XRD and EDS show that the additive nanomaterials (Al\({}_{2}\)O\({}_{3}\) and Gr) dispersed homogeneously into the Al matrix, and they created a fine grain structure at 295 nm-1.63 \(\upmu\)m. Moreover, improvements in physical properties reveal that the densities of the sintered samples were higher than those of the compacted samples. Finally, the results of a hardness test show that hardness increases with increasing weight percentages of the additive nano-materials [13]. [PERSON] et al. (2017) [14] studied the mechanical properties of hybrid nano-composites Al/Fe\({}_{3}\)O\({}_{4}\)/TiO\({}_{2}\) manufactured by powder metallurgy. TiO\({}_{2}\) was added by 2.5 wt.%, 5 wt.%, 75 wt.% and 10 wt.%, whereas Fe\({}_{3}\)O\({}_{4}\) was added by 10 wt.% into the aluminum matrix. The microstructures of the samples were analyzed by scanning electron microscope (SEM), and the mechanical properties were defined by micro-hardness and wear tests. The results of this work show that a homogeneous dispersion of TiO\({}_{2}\) and Fe\({}_{3}\)O\({}_{4}\) into the Al matrix also improve mechanical properties, such as the micro-hardness, strength and wear resistance of the samples, with increasing weight percentages of TiO\({}_{2}\). In addition, the experimental density of green compacts increases with increasing weight percentages of TiO\({}_{2}\) depending on the applied load, and then they improve the sintered densities of the samples. [PERSON] et al. (2020) [15] synthesized a hybrid nano-composite of Al/Fe\({}_{3}\)O\({}_{4}\)/SiC using the powder metallurgy technique for Fe\({}_{3}\)O\({}_{4}\) with varied weight percentages of 10,20, 30 and 40 wt.% and with a constant weight percentage of SiC (20 wt.%). The objective of this research is to investigate the impacts of nanomaterials (Fe\({}_{3}\)O\({}_{4}\) and SiC) on the microstructures and on the mechanical properties, such as corrosion resistance and wear behavior, of the products. The results of this study show a homogeneous dispersion of the additive nanoparticles (Fe\({}_{3}\)O\({}_{4}\) and SiC) into the Al matrix, which also improves micro-hardness and wear resistance. The preferred sintered density and micro-hardness were obtained for Al/30 Fe\({}_{3}\)O\({}_{4}\)/20 SiC as 2.69 g/cm\({}^{3}\) and 91 HV, respectively, and the friction coefficient for the applied load 10 N decreased from 0.601 to 0.412 for the sample of Al/30 Fe\({}_{3}\)O\({}_{4}\)/20 SiC. The results of the corrosion test show that the corrosion resistance for Al/30 Fe\({}_{3}\)O\({}_{4}\)/20 SiC is about 99.83%, and the corrosion resistance for Al/30 Fe\({}_{3}\)O\({}_{4}\) is about 88.07%. Recently, the challenge of developing a hybrid nano-composite with great performance is addressing its limitations. There are many problems and difficulties in manufacturing a hybrid nano-composite, including the type of the matrix alloy as well as the additive materials and manufacturing conditions. Generally, good interfacial bindings between the matrix and additive materials are difficult.