Effect of power-law index on critical parameters for power-law flow across an unconfined circular cylinder

Sivakumar, P.; Bharti, Ram P.; Chhabra, R.P.

doi:10.1016/j.ces.2006.05.031

Cited by 111 publications

(124 citation statements)

References 37 publications

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“…The value of H is chosen in such a manner that the study is carried out with modest computational resources without influencing the flow field. The results obtained from the time dependent study indicate that the flow is steady in the range Re = 0.1 -40 and is in agreement with the available literature (Kang, 2003;Sivakumar et al, 2006). The flow becomes unsteady in the range Re = 40 -100.…”

Section: Problem Statement and Governing Equationssupporting

confidence: 79%

“…Some numerical results are now available on hydrodynamics (D'Allessio and Pascal, 1996;Whitney and Rodin, 2001;Chhabra et al, 2004;, forced convection heat transfer (Soares et al, 2005;, and mixed convection heat transfer (Srinivas et al, 2009;Soares et al, 2009;Bouaziz et al, 2010). However, most of these studies are restricted to the steady flow regime (Sivakumar et al, 2006), very few studies deal with the flow of power-law fluids past a cylinder (Patnana et al, 2009), and heat transfer (Patnana et al, 2010;Soares et al, 2010), in the laminar vortex shedding regime. These studies (Patnana et al, 2009(Patnana et al, , 2010Soares et al, 2010), signify that all else being equal, shear-thinning behavior enhances the hydrodynamic drag.…”

Section: Previous Workmentioning

confidence: 99%

“…The circular cylinders shown in this figure are infinitely long in the z-direction and are of equal radius R and diameter D. The flow considered here is two-dimensional, incompressible, with uniform inlet velocity U o . Based on the available literature (Kang, 2003;Sivakumar et al, 2006), flow for both Newtonian and power-law fluids is initially assumed to be steady up to Re = 40 and unsteady for Re > 40. To ascertain that the flow is indeed steady up to Re = 40, over the range of conditions used here, a few preliminary timedependent simulations for extreme values of parameters (Re, G, n) are performed.…”

Section: Problem Statement and Governing Equationsmentioning

confidence: 99%

See 2 more Smart Citations

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

Panda

2017

Braz. J. Chem. Eng.

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-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.

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Section: Problem Statement and Governing Equationssupporting

confidence: 79%

Section: Previous Workmentioning

confidence: 99%

Section: Problem Statement and Governing Equationsmentioning

confidence: 99%

See 1 more Smart Citation

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

Panda

2017

Braz. J. Chem. Eng.

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“…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.…”

Section: Validation Of Resultsmentioning

confidence: 98%

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

Gangawane

Bharti

Kumar

2015

Korean J. Chem. Eng.

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Natural convection characteristics of a partially heated open ended square cavity have been investigated numerically by using an in-house computational flow solver based on the passive scalar thermal lattice Boltzmann method (PS-TLBM) with D2Q9 (two-dimensional and nine-velocity link) lattice model. The partial part of left wall of the cavity is heated isothermally at either of the three different (bottom, middle and top) locations for the fixed heating length as half of characteristic length (H/2) while the right wall is open to the ambient conditions. The other parts of the cavity are thermally isolated. In particular, the influences of partial heating locations and Rayleigh number (10 3 ≤ Ra≤10 6 ) in the laminar zone on the local and global natural convection characteristics (such as streamline, vorticity and isotherm contours; centerline variations of velocity and temperature; and local and average Nusselt numbers) have been presented and discussed for the fixed value of the Prandtl number (Pr=0.71). The streamline patterns show qualitatively similar nature for all the three heating cases and Rayleigh numbers, except the change in the recirculation zone which is found to be largest for middle heating case. Isotherm patterns are shifted towards a partially heated wall on increasing Rayleigh number and/or shifting of heating location from bottom to top. Both the local and average Nusselt numbers, as anticipated, shown proportional increase with Rayleigh number. The cavity with middle heating location shown higher heat transfer rate than that for the top and bottom heating cases. Finally, the functional dependence of the average Nusselt number on flow governing parameters is also presented as a closure relationship for the best possible utilization in engineering practices and design.

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“…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.…”

Section: Problem Description and Governing Equationsmentioning

confidence: 99%

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

Gode

Sahu

Chhabra

2011

Int J Adv Eng Sci Appl Math

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The governing differential equations (continuity, momentum and thermal energy) describing the twodimensional steady flow of incompressible fluids have been solved numerically for the transverse flow over a semicircular cylinder with its base aligned parallel to the flow. Based on the limited time-dependent simulations, the flow is shown to be steady up to Reynolds number of 120. Reported herein are extensive numerical results on the detailed flow and temperature fields characterized in terms of streamlines, iso-vorticity contours, surface pressure distribution, isotherms and local Nusselt number variation on the surface of bluff body. Also, included here are the values of macroscopic parameters like drag and lift coefficients and Nusselt number over the following ranges of governing dimensionless groups: 0.01 Re B120; 1 B Pr B 500 with the maximum value of Peclet number B4,000. Finally, the present numerical results are correlated using simple equations thereby enabling the interpolation of the present results for the intermediate values of the Reynolds and Prandtl numbers.

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Effect of power-law index on critical parameters for power-law flow across an unconfined circular cylinder

Cited by 111 publications

References 37 publications

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

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

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

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

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