Two-dimensional unsteady flow of power-law fluids over a cylinder

Patnana, Vijaya K.; Bharti, Ram P.; Chhabra, R.P.

doi:10.1016/j.ces.2009.03.029

Cited by 101 publications

(58 citation statements)

References 33 publications

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“…The snapshots of the temperature field from current simulations are presented in Figure 6. As is readily seen from Figure 6, the length of the vortex attached behind the cylinder stretches significantly with n increasing from 0.8 to 1.4, which also qualitatively agrees with the analysis in [54]. Table 3.…”

Section: Non-newtonian Power-law Fluid Flow and Heat Transfer Around supporting

confidence: 78%

Heat Transfer in Non-Newtonian Flows by a Hybrid Immersed Boundary–Lattice Boltzmann and Finite Difference Method

Wang

Tian

2018

Applied Sciences

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Abstract:A hybrid immersed boundary-lattice Boltzmann and finite difference method for fluid-structure interaction and heat transfer in non-Newtonian flow is presented. The present numerical method includes four parts: fluid solver, heat transfer solver, structural solver, and immersed boundary method for fluid-structure interaction and heat transfer. Specifically, the multi-relaxation time lattice Boltzmann method is adopted for the dynamics of non-Newtonian flow, with a geometry-adaptive technique to enhance the computational efficiency and immersed boundary method to achieve no-slip boundary conditions. The heat transfer equation is spatially discretized by a second-order up-wind scheme for the convection term, a central difference scheme for the diffusion term, and a second-order difference scheme for the temporal term. The structural dynamics is numerically solved using a finite difference method. The major contribution of this work is the integration of spatial adaptivity, thermal finite difference method, and fluid flow immersed boundary-lattice Boltzmann method. Several benchmark problems including the developing flow of non-Newtonian fluid in a channel, non-Newtonian fluid flow and heat transfer around a stationary cylinder and flow around a stationary cylinder with a detached filament are used to validate the present method and developed solver. The good agreements achieved by the present method with the published data show that the present extension is an efficient way for fluid-structure interaction and heat transfer involving non-Newtonian fluid. The heat transfer around an oscillating cylinder in non-Newtonian fluid flow at Reynolds number of 100 is also numerically studied using the present solver, considering the effects of the oscillating frequency and amplitude. The results may be used to expand the currently limited database of fluid-structure interaction and heat transfer benchmark studies.

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Section: Non-newtonian Power-law Fluid Flow and Heat Transfer Around supporting

confidence: 78%

Heat Transfer in Non-Newtonian Flows by a Hybrid Immersed Boundary–Lattice Boltzmann and Finite Difference Method

Wang

Tian

2018

Applied Sciences

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“…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%

“…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. The effect on drag is particularly striking at low Reynolds number.…”

Section: Previous Workmentioning

confidence: 99%

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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“…The shear-rate dependent constitutive model employed here is the power-law model with n = 0.4. We investigate the transient vortex-shedding behavior of the shearthinning fluid at Re = 100 and compare our numerical results with the results presented in Patnana et al [38], obtained via the finite volume method. In this numerical study, the Reynolds number for the power-law fluid is defined as follows:…”

Section: The Transient Vortex-shedding Problemmentioning

confidence: 68%

“…Table 4 provides the mesh parameters for the three successively refined meshes employed in the present study. Also presented is the geometric description of one mesh used in Patnana et al [38]. The simulation results from [38] are employed for comparison purpose in the present study.…”

Section: The Transient Vortex-shedding Problemmentioning

confidence: 97%

A stabilized mixed finite element method for the incompressible shear-rate dependent non-Newtonian fluids: Variational Multiscale framework and consistent linearization

Masud

Kwack

2011

Computer Methods in Applied Mechanics and Engineering

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Two-dimensional unsteady flow of power-law fluids over a cylinder

Cited by 101 publications

References 33 publications

Heat Transfer in Non-Newtonian Flows by a Hybrid Immersed Boundary–Lattice Boltzmann and Finite Difference Method

Heat Transfer in Non-Newtonian Flows by a Hybrid Immersed Boundary–Lattice Boltzmann and Finite Difference Method

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

A stabilized mixed finite element method for the incompressible shear-rate dependent non-Newtonian fluids: Variational Multiscale framework and consistent linearization

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