Further results on non-Newtonian power-law flows past a two-dimensional flat plate with finite length

Laminar forced convection heat transfer from a two-dimensional transverse plate in Bingham plastic fluids

“…Some of these results are compared with the present predictions in Tables 4 and 5 in terms of the drag coefficient (C D ) and recirculation length (L r ) respectively. The present values are seen to be broadly in agreement with the previous numerical predictions [15,16,18,19,23,27,28]; however, the correspondence with the approximate results of Tomotika and Aoi [15] deteriorates rapidly as the value of the Reynolds number is gradually increased thereby highlighting its inherent weaknesses, as can be seen in Table 4. Similarly, the present values of the recirculation lengths are also seen to be consistent with the scant results available in the literature, except in the case of Re = 0.1; while the two values differ by about 30%, but the wake length itself is very small under these conditions.…”

“…Hence the value of H/L = 2500 is considered to be adequate over the range of conditions embraced in this study. Furthermore due to the rapid spatial decay of the velocity and temperature fields in Bingham plastic fluids, one can use shorter domains (both in simulations and experiments) than that needed for Newtonian and power-law fluids [27]. Furthermore, the values of H/L found to be adequate at low values of the Reynolds number Re and Prandtl number Pr are expected to be satisfactory at their large values due to the progressive thinning of the boundary layers.…”

“…Indeed such critical values decrease from Re = 120 at n = 1 (Newtonian fluids) to Re = 45 at n = 0.1. In an extensive numerical study, Pantokratoras [27] revisited this flow, albeit only for the two limiting cases of parallel and normal configurations and for shear-thinning (n < 1) fluids. The range of Reynolds numbers spanned 10 À3 6 Re 6 10 4 for tangential and 10 À3 6 Re 6 10 2 for normal flows are indeed very wide.…”

A Note on the Drag Coefficient of Steady Flow of Non-Newtonian, Power-Law Fluids across Unbounded Two-Dimensional Bodies at Low Reynolds Numbers

“…The validation of the present model has been done extensively in two previous works by the present author [4,5] and no further information will be given here.…”

“…The results for the square cylinder and normal flat plate were taken from Pantokratoras [4,5] whereas the results for the circular cylinder were calculated in the present work. In addition, for a Newtonian fluid (n = 1) and the circular cylinder, the results based on the Oseen [6] …”