Two-dimensional Flow of Power-law Fluids over a Pair of Cylinders in a Side-by-Side Arrangement in the Laminar Regime

Abstract

-This manuscript presents the effect of Reynolds number (Re) and proximity of the bodies on the hydrodynamics of flow of shear-thinning, Newtonian and shear-thickening fluids over a pair of cylinders kept in side-by-side arrangement. Results obtained from the numerical simulations carried out with a combination of different parameters in the range of 0.2 ≤ power law index (n) ≤ 1.8, 0.1 ≤ Re ≤ 100 and 1.2 ≤ G (gap between the cylinders/diameter) ≤ 4 have been discussed in details. Analysis of the results gives a clear insight into the complex influence of Re on streamline patterns, surface pressure profiles, drag and lift coefficients for various fluids when the gap between two cylinder is changed.

A numerical study of two-dimensional laminar flow of power-law fluids around three circular cylinders in side-by-side arrangement

“…The considered problem in this paper is the two-dimensional unconfined flow of an incompressible power-law fluid with a uniform velocity U ∞ around three infinitely long (in spanwise direction) circular cylinders of equal diameter D placed in side-by-side configuration, as represented schematically in Figure 1(a). The available literature on the flow of both Newtonian and power-law fluids around a single and two side-by-side cylinders suggests that the flow remains steady for Re < 40 and becomes unsteady when the Reynolds number exceeds a critical value ( Re > 40) (Kang, 2003; Panda, 2017; Sivakumar et al , 2007). Therefore, certain time-dependent simulations have been carried out for the severe values of the governing parameters ( Re , n and L ) to ensure that the flow over three cylinders is also steady up to Re < 40 over the range of conditions investigated in this study.…”

“…As it is known, a cautious choice of the numerical parameters such as the domain size ( a ), the grid characteristics (stretching, number of cells on the surface of the cylinders, grid spacing, etc. ), time steps size and convergence criterion, affect greatly the certainty and the reliability of the numerical results (Juncu, 2007b; Panda, 2017; Roache, 1994; Sivakumar et al , 2007). In the next section, a strategic study has been carried out to arrive to an optimal choice, which assures that the results are grid- and domain-independent without a huge increase in CPU time.…”

“…The available literature concerning the flow of Newtonian and non-Newtonian fluids in these configurations are less extensive than that of a single cylinder. They suggest that besides the Reynolds number (Chaitanya and Dhiman, 2012; Derakhshandeh and Alam, 2020; Meneghini et al , 2001; Panda, 2017; Williamson, 1985; Zdravkovich, 1977), the hydrodynamic characteristics are also dependent on the gap spacing between the cylinders (Fan et al , 2021b; Bearman and Wadcock, 1973; Dwivedi and Dhiman, 2019; Juncu, 2007a; Kang, 2003). In addition, the flow phenomena are also influenced by the arrangement of the cylinders such as side-by-side (Panda, 2017; Ryu et al , 2009; Tsutsui, 2010) and tandem (Fan et al , 2021b; Derakhshandeh and Alam, 2020; Dwivedi and Dhiman, 2019; Juncu, 2007b; Patil et al , 2008; Shyam et al , 2013).…”

“…They suggest that besides the Reynolds number (Chaitanya and Dhiman, 2012; Derakhshandeh and Alam, 2020; Meneghini et al , 2001; Panda, 2017; Williamson, 1985; Zdravkovich, 1977), the hydrodynamic characteristics are also dependent on the gap spacing between the cylinders (Fan et al , 2021b; Bearman and Wadcock, 1973; Dwivedi and Dhiman, 2019; Juncu, 2007a; Kang, 2003). In addition, the flow phenomena are also influenced by the arrangement of the cylinders such as side-by-side (Panda, 2017; Ryu et al , 2009; Tsutsui, 2010) and tandem (Fan et al , 2021b; Derakhshandeh and Alam, 2020; Dwivedi and Dhiman, 2019; Juncu, 2007b; Patil et al , 2008; Shyam et al , 2013). Recently, some works have appeared in the literature concerning the case of multiple non-circular cylinders, as reported by Sisodia et al (2017) and Derakhshandeh and Gharib (2021).…”

Non-Newtonian power-law fluid’s thermal characteristics across periodic array of circular cylinders

“…The effect of neighboring tubes was examined and developed the correlation for the Nusselt number for the flow of Newtonian (water) and non-Newtonian (0.5% PVA and 1% and 1.5% CMC) fluids across the tube bank. Further, Panda [37] numerically investigated the flow characteristics of power-law fluids from a pair of cylinders in side-by-side arrangement for the range of power-law index (0.2 ≤ n ≤ 1.8), Reynolds number (0.1 ≤ Re ≤ 100) and gap ratio of 1.2-4. The flow characteristics such as streamlines, surface pressure profile, drag and lift coefficients were found to be strongly dependent over the above parameters.…”