To enhance the geometric performance of scroll compressor profiles, including stroke volume and geometric compression ratio, this article constructs a geometric model of the helical variable-section combination (ArHA) profile. This profile combines an Archimedean spiral, higher-order curves, and algebraic spirals, offering high flexibility and adjustability. Under specified smoothness constraints, the parameters of the Archimedean spiral, algebraic spirals, and connection points can be independently adjusted to meet the requirements of a helical gear profile. The effects of different values for the Archimedean spiral coefficient and scaling factor, the algebraic spiral coefficient and exponent, and the connection point on the stroke volume, leakage line length, and geometric compression ratio were investigated. At the same outer diameter of the scroll plate, the reduction in the algebraic spiral index significantly increases the stroke volume; the increase in the Archimedean spiral coefficient and scaling factor significantly increases the discharge volume. Compared with circular involute profiles, double helix profiles, and composite algebraic spiral profiles, the ArHA composite profile increases stroke volume by 20.4%, maintains essentially equivalent stroke volume for the latter two, reduces leakage line length by 38.3%, 37.5%, and 1.9%, and improves geometric compression ratio by 26.5%, 32.9%, and 18.6%, respectively. Research findings indicate that this composite profile significantly enhances geometric compression potential while maintaining high air intake capacity, offering new insights for the geometric design of high-compression-ratio scroll compressors.
Gong et al. (Sun,) studied this question.