A method for refining vegetable oil is used to reduce formation of soaps. An acid-treated vegetable oil mixture is passed through a low shear mixing device prior to being fed to a static hydrodynamic reactor. The static hydrodynamic reactor induces a neutralization reaction that forms soaps in a pressurized vegetable oil mixture. The reacted mixture is discharged from the reactor to a downstream system for separating the formed soaps from the reacted mixture to form a refined vegetable oil having reduced soaps content.