Forced Convection Heat Transfer from a Heated Square Cylinder to Power Law Fluids in the Unsteady Flow Regime

Effect of power-law fluid behavior on momentum and heat transfer characteristics of an inclined square cylinder in steady flow regime

“…Consequently, reliable results are now available on drag, lift, Strouhal number and Nusselt number characteristics for a circular cylinder in power-law fluids [39][40][41][42][43][44][45][46][47] which span the laminar vortex shedding regime, albeit the limiting value of the Reynolds number denoting cessation of the laminar vortex shedding regime is not yet known [48]. Similarly, reliable results for a square cylinder (a = 0) are also available over the similar ranges of conditions [49][50][51][52][53][54][55][56][57]. Somewhat less extensive results are available for elliptic and rectangular cylinders [12,13,[58][59][60] and these are limited to the so-called steady flow regime.…”

Momentum and heat transfer from a square cylinder in power-law fluids

“…Thus, while the results reported by Dhiman et al [12,13,16] are more accurate than that reported previously [10,11], but the accuracy of their results deteriorates rapidly with the decreasing value of power-law index due to the increasing difficulty in achieving the same level of convergence as that used for higher values of power-law index. On the other hand, Sahu et al [19][20][21] have focused on the flow and heat transfer phenomena of a square cylinder in power-law fluids in the laminar vortex shedding regime for the values of power-law index value P 0.5. Depending upon the values of the Reynolds number and/or power-law index, they also observed the occurrence of a so-called pseudo-periodic flow regime which was characterized by lift spectra displaying more than one dominant frequency.…”

Momentum and heat transfer characteristics of a semi-circular cylinder immersed in power-law fluids in the steady flow regime

“…This work endeavors to fill this gap in the current literature. Also, it is appropriate to mention here that the meager literature on the flow of power-law fluids past circular cylinders [30][31][32][33][34], square cylinders [16][17][18][19][20][21]35], rectangular cylinders [36], elliptic cylinders [7][8][9] is not only of recent vintage, but is also predominantly restricted to the so-called steady flow regime, except for a few recent studies for square, e.g., see [19,20,35] and for circular cylinders [37,38] which have extended the results to the laminar vortex shedding regime. In this work, consideration is given to the momentum and forced convection heat transfer characteristics of a semi-circular cylinder (with its curved surface facing upstream, similar to that in [27,29]) immersed in unconfined power-law fluids.…”

“…In spite of these difficulties, it is perhaps fair to say that an extensive body of knowledge has accrued as far as the circular cylinders immersed in Newtonian fluids are concerned [3][4][5]. On the other hand, the currently available literature is much less extensive and coherent for elliptic cylinders, e.g., [6][7][8][9], triangular cylinders [10][11][12], square and rectangular cylinders [13][14][15][16][17][18][19][20][21]. Suffice it to say here that most of the aforementioned studies for non-circular cylinders are mainly restricted to the steady and laminar vortex shedding regimes in Newtonian fluids.…”