“…These results are consistent with the results presented in [ 1 ], in [ 14 , 29 ], and in [ 30 , 31 , 32 ], which proves that there is a better way to design a sprue that allows for the elimination of undesirable turbulence and entrainment. Such analyses have been carried out not only for typical gravity castings but also for high-pressure die casting [ 33 ], investment casting [ 34 ], and the lost foam process [ 35 ] with and without filters in the gating system [ 36 ]. In some cases, the geometry of the gating system, mostly the sprue, can significantly affect the processes occurring in the casting mold, for example, ductile cast iron casting manufacturing using the in-mold nodularization method [ 37 ].…”