“…To compute the NF flow through a cylinder, the twophase flow method is engaged and presented in Table 3. The equations of continuity, energy and momentum are also presented in Table 3 ( Al-Ansary & Zeitoun, 2011;Arani et al, 2017;Heris et al, 2012;Kim et al, 2009;Patankar, 1980;Sadripour, 2019;Sadripour & Chamkha, 2019;Salari et al, 2020). The volume fraction/concentration equation for a two-phase mixture and the slip velocity are also in Table 3 ( Al-Ansary & Zeitoun, 2011;Aladdin et al, 2020;Arani et al, 2017;Corcione, 2011;Heris et al, 2012;Karami et al, 2020;Karimi et al, 2019;Kim et al, 2009;Patankar, 1980;Sadripour, 2019;Sadripour & Chamkha, 2019;Salari et al, 2020).…”