Nomenclature B -volume expansion coefficient,1/K; Cf -skin friction coefficient; CD -drag coefficient; d -cylinder size, m; g -gravitational acceleration, m/s 2 ; Gr -Grashof number; H -Channel width, m; h -Local convective heat transfer coefficient, W/(m 2 K); I2 -second invariant of the rate of deformation tensor, s 2 ; k -fluid thermal conductivity, W / (m 2 K); Lr -dimensionless recirculation length; L * r -recirculation length, m; Ld -downstream distance, m; Lu -upstream distance, m; m

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... er-law consistency index, Pa s n ; n -power-law flow behavior index; ns -direction normal to the cylinder surface; Nu -average total Nusselt number; p -pressure, Pa; P -dimensionless pressure; Pr -Prandtl number; Pe -Peclet number; Re -Reynolds number; Ri -Richardson number; T -temperature, K; U -dimensionless cross-stream velocity; u -cross-stream velocity, m/s; Vdimensionless stream-wise velocity; v -velocity stream-wise velocity, m/s; X -dimensionless cross-stream coordinate; Y -dimensionless stream-wise coordinate; y -stream-wise coordinate, m; greek lettersεrate of deformation, s -1 ; η -viscosity, Pa s; -fluid density kg/m 3 ; β -blockage ratio; τ -shear stress rate tensor, Pa; θ -dimensionless temperature;