###### Abstract
[13] conducted numerical research on the internal flow pressure field, energy field, and loss distribution of the pump by using the SST k-\(\omega\) turbulent model, emphasizing the comprehension of these parameters. [PERSON] et al. [14] investigated the influence of guide blade openings on the rotor-stator interaction between the splitter guide blade, while [PERSON] et al. [15] examined the stability of the internal flow field in the impeller passage and blade surface area, focusing on internal flow parameters such as total pressure and velocity. Their findings indicated that the maximum energy loss is concentrated near the suction front. Numerous numerical calculation studies [16; 17] have demonstrated that the numerical calculation and analysis method can intuitively and effectively reveal the internal flow field characteristics of the fan, which is crucial for guiding the optimal design of the fan. The single-arc equal-thickness blades employed in this study are prevalently utilized in centrifugal fan design due to their cost-effectiveness. Presently, three principal blade design methodologies exist: (1) implementing double or multi-arc blades to enhance profile load, (2) the exploration of optimal combination parameters for impeller structural dimensions, and (3) the optimization of fan blades through speed distribution profile design or airfoil design. Numerous scholars have leveraged bionic technology to investigate the correlation between airfoils and aerodynamic performance [18; 19]. The blades are coupled and designed to analyze the interrelationship between chord length, stroke angle, and efficiency. [PERSON] et al. [20] also discerned the bionic design influences of noise reduction through numerical simulation and experimental comparison. Certain studies have posited that the presence of a blocking effect and secondary flow within the flow field diminishes the fan efficiency [21; 22; 23]. The fan impeller is parametrically designed, yielding optimal blade parameters. Post-optimization, the total pressure differential is markedly reduced, with concomitant improvements in both efficiency and flow rate [24; 25]. Factors such as blade inlet clogging can significantly impair impeller efficiency. Consequently, [PERSON] et al. [26] proposed a long-short blade impeller design, enhancing overall fan efficiency by 5.27%. Simulations indicate a strong positive correlation between stroke-plane angle and efficiency. [PERSON] and [PERSON] [27] contended that airfoil blades generally outperform single-arc blades, attributing this to the suppression of flow separation between the impeller and the volute in airfoil blades, thereby enhancing fan performance. [PERSON] and [PERSON] [28] examined the impact of the Gurney Flap configuration on centrifugal fan performance at varying Reynolds numbers, concluding that fan performance significantly improves with the Gurney flap at low Reynolds numbers. [PERSON] and [PERSON] [29] applied airfoil design principles to centrifugal fan blades. [PERSON] [30] analyzed the effect of curvature on the wake, demon strating that increased curvature of the shear layer exacerbates the wake. [PERSON] et al. [31] mitigated secondary flow loss and achieved uniform flow at the impeller exit by altering the wrap angle at the trailing edge (referred to as the stacking condition). In summary, both double-arc blades and airfoil blades can enhance the aerodynamic performance of the fan, corroborating that optimizing blade shape is an efficacious method to improve fan performance. As mentioned above, many scholars have conducted in-depth studies on the internal flow state of multi-blade centrifugal fans, significantly improving their operational efficiency. However, the relationship between the lift-to-drag ratio of airfoils and the aerodynamic performance of centrifugal fans has not been fully studied. This study innovatively combined the theory of the airfoil lift-to-drag ratio with fluid dynamics to deeply analyze the flow characteristics of airfoils.