It　is　well　known　that　the　particle　shape,　in　addition　to　the　particle　size　and　density,　also　significantly　affects　the　entrainment　behavior　of　gangue　minerals.　There　is,　however,　no　model　for　the　degree　of　entrainment　related　to　the　particle　shape　in　a　froth　flotation.　In　this　study,　the　mineral　particle　shapes　are　quantified　using　three-dimensional　shape　factors　through　a　MATLAB-based　image　analysis　technology　and　the　entrainment　tests　were　carried　out　using　albite,　hematite　and　wollastonite.　The　results　suggest　that　the　entrained　mineral　recovery　is　linearly　related　to　the　water　recovery　and　there　are　significant　differences　in　the　degrees　of　entrainment　for　minerals　with　different　particle　shapes.　It　is　a　consequence　of　the　differences　in　the　settling　velocities,　since　the　settling　velocities　have　a　dominant　role　in　entrainment.　The　particle　shape　is　also　considered　to　be　a　vital　factor　affecting　the　settling　velocities　of　entrained-mineral　particles　in　addition　to　the　particle　size　and　density.　Thus,　a　new　model　related　to　the　particle　shape　for　the　degree　of　entrainment　was　first　proposed　based　on　the　settling　velocity.　Compared　with　the　other　models　for　the　degree　of　entrainment,　this　model　is　more　suitable　for　predicting　the　degrees　of　entrainment　of　gangue　minerals　with　different　particle　characteristics,　specifically　different　particle　shapes.　(C)　2019　Elsevier　B.V.　All　rights　reserved.