Promising directions for improving the efficiency of pyrite cinder separation for their further use in the production of Portland cement are considered. The object of the study is a digital model of a modified hydrocyclone with a separation area in the working area, which allows for precise separation of particles. The purpose of the study is to identify the appropriate design parameters of a modified hydrocyclone during strength calculations and variable execution of its model. Computer modeling of hydrodynamic processes during the creation of new equipment allows for an analysis of its operability, strength calculations and variable design of the device at the design stage, which is currently relevant. The changes in the efficiency of particle separation in a modified hydrocyclone depending on the varying geometric parameters in the working area of the apparatus are considered. The influence of the thickness of the sheets of the parts of the separation area has been studied and important aspects affecting the operating conditions of the device have been identified. Optimization of the geometry of the holes in the separating area of the hydrocyclone is proposed in order to capture more particles of the required fraction (size 60 microns or less). The resulting modified hydrocyclone design based on HCC-360-10 has significant application potential in various industries, including ore dressing, cement, petroleum, chemical industry and energy. The use of such a design can lead to a significant reduction in energy consumption, increased productivity and improved product quality. A method for static calculation of the strength of the separation region of a modified hydrocyclone using the finite element method in a CAD/CAE system is presented.