Flow of power-law fluids in a cavity driven by the motion of two facing lids – A simulation by lattice Boltzmann method

Mendu, Siva Subrahmanyam; Das, Prasanta Kumar

doi:10.1016/j.jnnfm.2012.03.007

Cited by 65 publications

(26 citation statements)

References 41 publications

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“…Non-Newtonian power-law fluid flow in a double-sided lid driven cavity was studied in Ref. [18] with the lattice Boltzmann method. The effects of the power-law index and the Reynolds number on the fluid flow and drag coefficient were investigated.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamics Mixed Convection in a Lid-Driven Cavity Having a Corrugated Bottom Wall and Filled With a Non-Newtonian Power-Law Fluid Under the Influence of an Inclined Magnetic Field

Selimefendigil

Chamkha

2016

Journal of Thermal Science and Engineering Applications

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In this study, the problem of magnetohydrodynamics (MHD) mixed convection of lid-driven cavity with a triangular-wave shaped corrugated bottom wall filled with a non-Newtonian power-law fluid is numerically studied. The bottom corrugated wall of the cavity is heated and the top moving wall is kept at a constant lower temperature while the vertical walls of the enclosure are considered to be adiabatic. The governing equations are solved by the Galerkin weighted residual finite element formulation. The influence of the Richardson number (between 0.01 and 100), Hartmann number (between 0 and 50), inclination angle of the magnetic field (between 0 deg and 90 deg), and the power-law index (between 0.6 and 1.4) on the fluid flow and heat transfer characteristics are numerically investigated. It is observed that the effects of free convection are more pronounced for a shear-thinning fluid and the buoyancy force is weaker for the dilatant fluid flow compared to that of the Newtonian fluid. The averaged heat transfer decreases with increasing values of the Richardson number and enhancement is more effective for a shear-thickening fluid. At the highest value of the Hartmann number, the averaged heat transfer is the lowest for a pseudoplastic fluid. As the inclination angle of the magnetic field increases, the averaged Nusselt number generally enhances.

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Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamics Mixed Convection in a Lid-Driven Cavity Having a Corrugated Bottom Wall and Filled With a Non-Newtonian Power-Law Fluid Under the Influence of an Inclined Magnetic Field

Selimefendigil

Chamkha

2016

Journal of Thermal Science and Engineering Applications

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“…Later, research on different cavity geometries has been reported, such as a deep cavity (Patil, Lakshmisha, & Rogg, 2006), semi-circular cavity (Yang, Shi, Guo, & Sai, 2012), trapezoidal cavity (Zhang, Shi, & Chai, 2010) and triangular cavity (González, Ahmed, Kühnen, Kuhlmann, & Theofilis, 2011). Recently, two-sided lid-driven cavity flow (Mendu & Das, 2012;Oueslati, Ben Beya, & Lili, 2011) has been analyzed in order to study possible applications in industry, such as in the paper coating industry (Cao & Esmail, 1995), polymer processing (Gaskell, Summers, Thompson, & Savage, 1996) and drying technologies (Alleborn, Raszillier, & Durst, 1999). For the case of a foursided lid-driven cavity flow, Wahba (2009) studied the bifurcation of the flow and found that four-sided lid-driven cavity flow generates bifurcation at Re = 219.…”

Section: Introductionmentioning

confidence: 99%

Four-Sided Lid-Driven Cavity Flow using Time Splitting Method of Adams-Bashforth Scheme

Azwadi¹,

Rajab²,

Sofianuddin³

2014

Int J Automot Mech Eng

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In this paper, a second order Adams-Bashforth method is proposed to simulate foursided square lid-driven cavity flow. The convective term and diffusive term in Navier-Stokes equations are solved using a finite central difference scheme and the unsteady term is solved using the Adams-Bashforth method. All of the flow is simulated at below critical Reynolds numbers in a square cavity with an isothermal condition and the same speed for all walls. In this study, the flow structure for a four-sided lid-driven cavity with its four vortices and a graph of the velocity profile along the center of the cavity are presented. In addition, we also study the effect of the Reynolds number on the development of vortices in the cavity. We find that the Reynolds number has a dominant effect on the flow structure in the cavity. The computed results also show good agreement with the published data.

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“…where Ω is the collision matrix. To calculate the equilibrium distribution functions f eq i (x, t), the general expressions has been considered as [30]…”

Section: Multiple-relaxation-time Lattice Boltzmann Methodsmentioning

confidence: 99%

“…Chai et al [29] used the multiple-relaxation-time (MRT) lattice Boltzmann method for investigating the generalized Newtonian flows. Mendu and Das [30] investigated the non-Newtonian cavity flow driven by two facing lids using the LBM. Immersed boundary SRT or BGK-LBM has been applied to investigate the non-Newtonian flows over a heated cylinder by Deloueci et al [31].…”

Section: Introductionmentioning

confidence: 99%

A Graphics Process Unit-Based Multiple-Relaxation-Time Lattice Boltzmann Simulation of Non-Newtonian Fluid Flows in a Backward Facing Step

et al. 2020

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A modified power-law (MPL) viscosity model of non-Newtonian fluid flow has been used for the multiple-relaxation-time (MRT) lattice Boltzmann methods (LBM) and then validated with the benchmark problems using the graphics process unit (GPU) parallel computing via Compute Unified Device Architecture (CUDA) C platform. The MPL model for characterizing the non-Newtonian behavior is an empirical correlation that considers the Newtonian behavior of a non-Newtonian fluid at a very low and high shear rate. A new time unit parameter (λ) governing the flow has been identified, and this parameter is the consequence of the induced length scale introduced by the power law. The MPL model is free from any singularities due to the very low or even zero shear-rate. The proposed MPL model was first validated for the benchmark study of the lid-driven cavity and channel flows. The model was then applied for shear-thinning and shear-thickening fluid flows through a backward-facing step with relatively low Reynolds numbers, Re = 100–400. In the case of shear-thinning fluids (n=0.5), laminar to transitional flow arises while Re≥300, and the large vortex breaks into several small vortices. The numerical results are presented regarding the velocity distribution, streamlines, and the lengths of the reattachment points.

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Flow of power-law fluids in a cavity driven by the motion of two facing lids – A simulation by lattice Boltzmann method

Cited by 65 publications

References 41 publications

Magnetohydrodynamics Mixed Convection in a Lid-Driven Cavity Having a Corrugated Bottom Wall and Filled With a Non-Newtonian Power-Law Fluid Under the Influence of an Inclined Magnetic Field

Magnetohydrodynamics Mixed Convection in a Lid-Driven Cavity Having a Corrugated Bottom Wall and Filled With a Non-Newtonian Power-Law Fluid Under the Influence of an Inclined Magnetic Field

Four-Sided Lid-Driven Cavity Flow using Time Splitting Method of Adams-Bashforth Scheme

A Graphics Process Unit-Based Multiple-Relaxation-Time Lattice Boltzmann Simulation of Non-Newtonian Fluid Flows in a Backward Facing Step

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