“…Flow features and/or performance of liquid metal magnetohydrodynamic (LM-MHD) generators is an important subject to both pure and applied physics. Over time, it has been approached experimentally Ishikawa et al (1996), Nomura (1988), Intani et al (2010), Kobayashi et al (2011), Liu et al (2011), Shionoya et al (2011), Liu et al (2014), Niu et al (2014), numerically for the steady situation Yamada et al (2007), Yamada et al (2006), analytically Jackson (1963), Ibáñez et al (2002), Vogin et al (2007), and in combinations of the previous Satyamurthy et al (1999), Danilyan et al (2005), Yamaguchi et al (2011). Analytical approaches for the LM-MHD generator are generally difficult.…”