“…Various approaches were used to describe and make predictions about the process. A simplified model for calculating the maximum cutting speed, proposed by Hlaváč, and updated in [ 12 ], can be written as Equation (1): where: —maximum cutting speed, (m/s); —coefficient taking into account the abrasive mass flow rate and the abrasive quality, (−); —nozzle orifice diameter, (m); —density of the abrasive water jet (treated as a homogeneous liquid), (kg·m −3 ); —pressure of the abrasive water jet according to Bernoulli’s principle for a liquid with predetermined density and velocity, (Pa); —damping coefficient for the abrasive water jet flowing between the nozzle and the workpiece surface, (m −1 ); —standoff distance (distance between the nozzle and the workpiece surface), (m); —coefficient of velocity loss (a decrease in the water flow rate on impact with the workpiece surface), determined through experiments, (−); —material thickness, (m); —material density, (kg·m −3 ); —material strength, (Pa); and —minimum cutting speed, (m/s); it is generally assumed that , where , (m), is the average abrasive grain size in the mixing head and the mixing tube.…”