Three-dimensional flow via swirling porous disks and an annular sector is carried out using fully developed hybrid nanofluids. Here, a single-phase simulation based on thermophysical characteristics using various nanoparticle sizes and shapes is taken into account. A regression function connected with the permeable Reynolds number for injection and suction was created. We used the well-known and accurate “shooting approach” to apply to the governing, nonlinear, ordinary differential equation systems to obtain numerical results. Additionally, parametric research was employed to control the impact of embedded flow factors on concentration, velocity, and temperature. While the physical features of the bottom and upper disks, such as the skin friction coefficient and Nusselt number, are provided in a table, their characterization of the flow of several regulatory flow parameters, such as fluid velocity and temperature, is depicted graphically. The experimental range of nanoparticle fractions of 1% to 4% is considered with the Nusselt number having notable effects at φ = 4%. Both walls demonstrate the effects of an increase in injection factor, shear stress, and tensile stress. As the Eckert number rises at the lower wall, the rate of heat transfer dramatically increases, and the opposite is true for the upper wall. The rate of heat transmission is significantly impacted by the addition of different base fluids containing various kinds of nanoparticles. The aforementioned research created a solid foundation for the development of electronic computers with an emphasis on nanotechnology and biomedical devices.