Abstract: A continuous flow compaction model for minerals is established by conducting in-depth research on the operating state of minerals during the high pressure grinding roll compaction process. According to the basic research methods of viscous and compressible fluids in engineering fluid mechanics, the Navier Stokes equations of motion and the boundary conditions of materials during the compacting process are used to establish the operating speeds in various directions during the compacting process of minerals. A continuous flow compaction model for minerals is established by solving the equations of motion and continuity using mathematical principles. Coupled with the geometric equations that arise during material operation, a solvable set of binary quadratic second-order differential equations has been derived. By using the numerical solution of differential equations and discretizing the equations, a three-dimensional pressure distribution map on the roller surface is theoretically obtained using the over relaxation iteration method and MathCad15 calculation software. By calculating different specifications of pressing roller, the maximum pressure on the roll surface, total thrust, and roller press power with engineering guidance significance are obtained. The law that the smaller the diameter to width ratio, the greater the maximum pressure is revealed. The continuous flow compaction model for minerals has certain reference value for the mechanical research of other compaction projects.