Steady Flow of Power Law Fluids across a Circular Cylinder

Abstract

gammes de conditions, soit 5 ≤ Re ≤ 40 et 0,6 ≤ n ≤ 2. Le comportement rhéofl uidifi ant (n < 1) du fl uide réduit la taille de la zone de recirculation et accroît également la séparation; d'autre part, les fl uides rhéoépaississants (n > 1) montrent un comportement opposé. En outre, alors que la taille du sillage varie de manière non monotone avec l'indice de loi de puissance, elle ne semble pas infl uencer les valeurs du coeffi cient de traînée. Le coeffi cient de pression de stagnation et le coeffi cient de traînée montrent aussi une dépendance complexe envers l'indice de loi de puissance et le nombre de Reynolds. Les distributions des coeffi cients de pression, de la vorticité et de la viscosité sur la surface du cylindre sont également présentées afi n de mieux comprendre les cinématiques d'écoulement détaillées.

Effect of blockage on heat transfer from a cylinder to power law liquids

“…As noted earlier, while bulk of the information available on the momentum and heat transfer characteristics of a circular cylinder in Newtonian fluids has been thoroughly reviewed by Zdravkovich (1997Zdravkovich ( , 2003 and the recent heat transfer literature has been reviewed by Ahmad (1996) and Bharti et al (2007a), the corresponding limited information for power-law fluids has been summarized in recent studies D'Alessio and Pascal, 1996;D'Alessio and Finlay, 2004;Ferreira and Chhabra, 2004;Soares et al, 2005, Bharti et al, 2006, 2007b-d, Sivakumar et al, 2006a,b, 2007Khan et al, 2006). Suffice it to say here that reliable results on drag and heat transfer for an unconfined cylinder immersed in streaming power-law liquids encompassing the following ranges of conditions are now available: Re 40; 0.2 n 2; 0.7 P r 1000.…”

“…The fully converged velocity field (Bharti et al, 2007c) has been used as an input to solve the thermal energy equation. These, in turn, are used to deduce the local and global momentum and heat transfer characteristics as outlined elsewhere in detail (Bharti et al, 2006, 2007a-d, Sivakumar et al, 2006a,b, 2007. At this point, it is appropriate to introduce some definitions:…”

Lattice Boltzmann analysis of effect of heating location and Rayleigh number on natural convection in partially heated open ended cavity

“…The average deviation of the two (present and literature) values is seen to be about 0.6%. Such minor inherent errors tend to arise due to the enormous factors such as numerical methodologies, grid size, convergence criterion, approximations errors (round up and programming), etc [45,[49][50][51][52][59][60][61][62][63][64][65][66]. Keeping in mind the above mentioned inadvertent factors influencing the numerical results, the above comparison ascertains the confidence in the accuracy and reliability of the present in-house PS-TLBM solver.…”

Two-dimensional steady flow over a semi-circular cylinder: drag coefficient and Nusselt number

“…Unlike in the case of a circular cylinder [15][16][17][18] or a square cylinder [19][20][21], the flow over a semi-circular cylinder is not symmetrical about the mid-plane and therefore the computations were carried out in the full domain. The numerical solution of Eqs.…”

“…Since detailed descriptions of the numerical solution procedure used here are available elsewhere [15][16][17][18], only the salient features are recapitulated here. In this study, the field equations have been solved numerically using FLU-ENT (version 6.3).…”