“…Many studies to investigate casing treatments in compressors have been reported (Moore et al [1971], Prince et al [1974], Paulon and Dehoudt [1982], Smith and Cumpsty [1985], Fujita and Takata [1985], Lee and Greitzer [1990], Crook et al [1993], Hall et al [1996], Rabe and Hah [2002], Shabbir and Adamczyk [2004], Chen et al [2010], and Mueller et al [2011]). Paulon and Dehoudt [1982] conducted a theoretical investigation of the effects of circumferential-groove casing treatments.…”