“…Dispersion curves are used to show the frequency dependence of the velocities (Draudviliene et al, 2018;Hora and Cerven a, 2012). Considering ultrasonic flow measurement, experimental and simulation-based studies include the following categories: investigating the effects of pipe configurations on ultrasonic flowmeters (Holm et al, 1995;Hilgenstock and Ernst, 1996;Pamela et al, 2000;Zhao et al, 2015), studying flow profile correction factor (Zhao et al, 2015;O'Sullivan and Wright, 2002;Cheon and Poong Hyun, 2005;Weissenbrunner et al, 2016), exploring transducer protrusion and recess effects on ultrasonic flowmeters (Raišutis, 2006;Zheng et al, 2011;Hoffmann et al, 2015) and considering acoustics effects in ultrasonic flowmeters (Bezdek et al, 2007;Tezuka et al, 2008;Zheng et al, 2016;Sun et al, 2018b). Lamb wave propagation in pipe walls was studied by many authors (Park et al, 2009;Yashiro et al, 2007;Hern andez et al, 2018;Faisal Haider et al, 2017;Luyao et al, 2014;Lu et al, 2015).…”