Bingham fluid flow simulation in a lid-driven skewed cavity using the finite-volume method

Thohura, Sharaban; Molla, Md. Mamun; Sarker, M. M. A.

doi:10.1080/00207160.2019.1613527

Cited by 12 publications

(7 citation statements)

References 34 publications

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“…The simulation procedure maintains iterations until the residual tolerance is less than or equal to

1 0^{- 9}

for all the variables (i.e.,

u, v, θ

). This code is used for several studies on the non‐Newtonian fluids with irregular‐shaped geometric models 3,54‐58 . A detailed description of the numerical method in curvilinear coordinates with a discretization scheme as well as the description of the code could be found in Refs.…”

Section: Numerical Methodologymentioning

confidence: 99%

“…A detailed description of the numerical method in curvilinear coordinates with a discretization scheme as well as the description of the code could be found in Refs. [53‐55].…”

Section: Numerical Methodologymentioning

confidence: 99%

“…The numerical code validation for the lid‐driven skewed cavity had been done and compared with the results of Dermirdzic and Lilek 61 and Erturk and Dursum 62 for the skewed angles

3 0^{\circ}

and

4 5^{\circ}

. This validation was shown in the previous articles (please see Thohura et al 54,55 ) done by the same code and authors and avoiding the repetition, the comparison is not given here.…”

Section: Validation Of the Numerical Codementioning

confidence: 99%

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Study of mixed convection flow of power‐law fluids in a skewed lid‐driven cavity

et al. 2021

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This study conducts a numerical simulation of mixed (combined) convective non‐Newtonian fluid flow inside a two‐dimensional cavity (skewed) having a moving lid. The upper and bottom extremities of the cavity with different temperatures and two insulated side walls cause natural convection. Moreover, the forced convection is maintained by the motion of the lid with constant velocity. The governing equations are nondimensionalized with appropriate transformations and then transformed into curvilinear coordinates. A finite volume numerical procedure with a collocated grid arrangement is used to solve these equations. Comparisons with previously reported results are carried out, which shows an excellent agreement. Non‐Newtonian behaviors such as pseudo‐plastic (shear‐thinning) and dilatant (shear‐thickening) are considered using the power‐law model, and thus the power‐law index is chosen accordingly. A wide range of the governing dimensionless parameters which affect the mixed convection flow inside the skewed cavity, including Grashof number ( 1 0 2 ≤ G r ≤ 5 × 1 0 4 ), Richardson number ( 0.000625 ≤ R i ≤ 5 ), Reynolds number ( R e = 100 and 400), and power‐law index ( 0.7 ≤ n ≤ 1.3 ). The Prandtl number ( P r = 10) is fixed and the skew angles ( φ = 4 5 ∘ , 9 0 ∘ , and 13 5 ∘ ) are considered for acute, right‐angle, and obtuse angles. The obtained numerical outcomes of the study are shown graphically and also in tabular form for vertical and horizontal velocities, streamlines, isotherms, temperature distributions, and the rate of heat transfer and insight physics of the flow features, are discussed thereafter. It can be concluded that the rate of heat transfer in the present case is sensitive to the skew‐angle as well as power‐law index, and the maximum heat transfer occurs in the case of dilatant (shear‐thickening) fluid.

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“…The simulation procedure maintains iterations until the residual tolerance is less than or equal to

1 0^{- 9}

for all the variables (i.e.,

u, v, θ

Section: Numerical Methodologymentioning

confidence: 99%

“…A detailed description of the numerical method in curvilinear coordinates with a discretization scheme as well as the description of the code could be found in Refs. [53‐55].…”

Section: Numerical Methodologymentioning

confidence: 99%

“…The numerical code validation for the lid‐driven skewed cavity had been done and compared with the results of Dermirdzic and Lilek 61 and Erturk and Dursum 62 for the skewed angles

3 0^{\circ}

and

4 5^{\circ}

. This validation was shown in the previous articles (please see Thohura et al 54,55 ) done by the same code and authors and avoiding the repetition, the comparison is not given here.…”

Section: Validation Of the Numerical Codementioning

confidence: 99%

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Study of mixed convection flow of power‐law fluids in a skewed lid‐driven cavity

et al. 2021

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“…The simulation procedure maintains iterations until the residual tolerance is less than or equal to 10 −6 for all the variables (i.e., u, v, ). This code is used for the several studies on the non-Newtonian fluids with irregular shape geometric models [60][61][62].…”

Section: Numerical Proceduresmentioning

confidence: 99%

Non-Newtonian effect on heat transfer and entropy generation of natural convection nanofluid flow inside a vertical wavy porous cavity

et al. 2021

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A numerical study on heat transfer and entropy generation in natural convection of non-Newtonian nanofluid flow has been explored within a differentially heated two-dimensional wavy porous cavity. In the present study, copper (Cu)–water nanofluid is considered for the investigation where the specific behavior of Cu nanoparticles in water is considered to behave as non-Newtonian based on previously established experimental results. The power-law model and the Brinkman-extended Darcy model has been used to characterize the non-Newtonian porous medium. The governing equations of the flow are solved using the finite volume method with the collocated grid arrangement. Numerical results are presented through streamlines, isotherms, local Nusselt number and entropy generation rate to study the effects of a range of Darcy number (Da), volume fractions (ϕ) of nanofluids, Rayleigh numbers (Ra), and the power-law index (n). Results show that the rate of heat transfer from the wavy wall to the medium becomes enhanced by decreasing the power-law index but increasing the volume fraction of nanoparticles. Increase of porosity level and buoyancy forces of the medium augments flow strength and results in a thinner boundary layer within the cavity. At negligible porosity level of the enclosure, effect of volume fraction of nanoparticles over thermal conductivity of the nanofluids is imperceptible. Interestingly, when the Darcy–Rayleigh number $$Ra^*\gg 10$$ R a ∗ ≫ 10 , the power-law effect becomes more significant than the volume fraction effect in the augmentation of the convective heat transfer process. The local entropy generation is highly dominated by heat transfer irreversibility within the porous enclosure for all conditions of the flow medium. The particular wavy shape of the cavity strongly influences the heat transfer flow pattern and local entropy generation. Interestingly, contour graphs of local entropy generation and local Bejan number show a rotationally symmetric pattern of order two about the center of the wavy cavity.

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“…A lattice Boltzmann simulation of non-Newtonian power-law fluid flows in a bifurcated channel with low Reynolds number has been studied by Siddikk et al [55]. Thohura et al [56][57][58] have investigated the fluid flows' numerical simulation of convective heat transfer for the non-Newtonian fluids based the Naiver-Stokes that are solved by the finite volume method.…”

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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Bingham fluid flow simulation in a lid-driven skewed cavity using the finite-volume method

Cited by 12 publications

References 34 publications

Study of mixed convection flow of power‐law fluids in a skewed lid‐driven cavity

Study of mixed convection flow of power‐law fluids in a skewed lid‐driven cavity

Non-Newtonian effect on heat transfer and entropy generation of natural convection nanofluid flow inside a vertical wavy porous cavity

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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