“…The symmetrical instability has attracted many researchers since 1980s (Symonds and Yu, 1985;Forrestal et al, 1994;Galiev and Nechitailo, 1986;Galiev, 1996Galiev, , 1997Galiev et al, 1997;Kolsky et al, 1991;Li et al, 1991). Some simplified Shanley-type models have been developed to characterize the beam symmetrical instability which is called a counter-intuitive phenomenon (Symonds and Yu, 1985;Genna and Symonds, 1987;Symonds et al, 1986;.…”