The flow channel of the fluids in the nuclear reactor core and the heat exchanger is relatively small. In order to understand the two-phase flow phenomena in the narrow channel, many interesting studies have been carried out, for example, mini capillaries (Wong, et al., 1995, Han & Shikazono, 2009), rectangular channels with small gap (Mishima, et al., 1993, Xu, et al., 1999, Hibiki & Mishima, ...

In this investigation, the nonplanar (spherical and cylindrical) modified fifth-order Korteweg–de Vries (nmKdV5) equation, otherwise known as Kawahara equation (nmKE), is solved using ansatz approach. Two general formulas for semi-analytical symmetric approximations are derived recommended methodology. Using obtained approximations, (mK) solitary waves (SWs) cnoidal (CWs) obtained. The fluid eq...