“…Several experimental, theoretical and numerical studies have been performed in the area of two-phase flow instabilities in parallel channels ( Libo et al, 2014;Aritomi et al, 1979;Fukuda et al, 1979;Clausse et al, 1989;Podowski et al, 1990;Guido et al, 1991;Xiao et al, 1993;Lee et al, 1999;Hirayama et al, 2006;Yun et al, 2008;Zhang et al, 2009;Guo et al, 2010, Lee et al,2014, zhou et al,2013, Chiapero et al,2013, Paul et al,2014, Hua et al,2015. Aritomi et al (1977), investigated density wave oscillations in parallel channels by using a nonlinear model.…”