A numerical revisit of backward-facing step flow problem

Chiang, T. P.; Sheu, Tony W. H.

doi:10.1063/1.869958

Cited by 72 publications

(53 citation statements)

References 16 publications

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“…From Figure 8, it is found that there exists no flow reattachment on the cavity bottom when x = 0.5. Then, no data in the cases at 0.5 of the molar ratio are plotted Chiang and Sheu 17) reported results of three-dimensional numerical computations for a backward-facing Newtonian fluid flow. They changed the aspect ratio from 2 to 100.…”

Section: Rheological Characteristicsmentioning

confidence: 99%

Effects of the Molar Ratio of Counter-Ions on Flow Characteristics of Surfactant Solutions Sweeping Cavities

Sato

Suzuki

Hidema

et al. 2016

J. Soc. Rheol., Jpn

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An experimental study has been performed in order to investigate the optimum rheological characteristics for a technique of heat transfer augmentation in a cavity between ribs mounted in parallel plates. The rheological characteristics of visco-elastic fluid were changed by controling the molar ratio of counter-ion to a cationic surfactant. Flow visualization experiments and pressure loss measurements were conducted in the range of solvent Reynolds number from 100 to 2,500 and in the range of molar ratio from 0.50 to 10. Under this condition, the zoro-shear Reynolds number and the Weissenberg number ranged from 2.01 to 120 and from 1.94 × 10 -2 to 9.15, respectively.From the results, flow penetration into the cavity occurred in the cases from 1.5 to 5.0 of molar ratio of counter-ions. However, the pressure loss became large in the cases when the remarkable Barus effect can be observed. On the other hand, the pressure loss became almost the same as that of water in the case when the molar ratio of counter-ions was set at 5.0. From this, it was concluded that the optimum fluid for the heat transfer augmentation in a cavity is required to have suitable elasticity and low viscosity as the molar ratio of counter-ions is set around 5.0.

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Section: Rheological Characteristicsmentioning

confidence: 99%

Effects of the Molar Ratio of Counter-Ions on Flow Characteristics of Surfactant Solutions Sweeping Cavities

Sato

Suzuki

Hidema

et al. 2016

J. Soc. Rheol., Jpn

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show abstract

“…It represents a standard test for investigating the flow separation and reattachment. It has been already used by numerous researchers as a benchmark test for various numerical methods [19][20][21][22][23][24][25]. The domain of the problem is characterized by a planar channel with sudden change of the geometry (Figure 1), which governs the flow separation, and generation of several re-circulating zones downward the step, described by positions   1 2 3 , ,…”

Section: Problem Definitionmentioning

confidence: 99%

“…The well-known Backward-Facing Step problem [19][20][21][22][23][24][25] (BFS) is considered since its solution is well coped with in the literature, and is at the same time complex enough to challenge the proposed numerical techniques.…”

Section: Introductionmentioning

confidence: 99%

Assessment of two pressure-velocity coupling strategies for local meshless numerical method

Kosec¹,

Vertnik²,

Šarler³

2012

Advances in Fluid Mechanics IX

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The performance of two pressure-velocity coupling strategies, associated with the primitive variable solution of incompressible Newtonian fluid with the meshless Local Radial Basis Function Collocation Method (LRBFCM), is compared with respect to computational efficiency, stability, accuracy and spatial convergence. The LRBFCM is structured with multiquadrics on five noded support domains. The explicit time stepping is used. The BackwardFacing Step problem (BFS) has been selected as a benchmark problem, previously tackled by several numerical methods. The semi-local fractional step method (FSM) and completely local pressure-velocity couplings (LPVC) are compared. The numerical results are validated against previously published data. The results are represented and compared in terms of a convergence plot of the reattachment position. We show that both approaches provide reasonable results; however, LVPC is less computationally complex and less stable in comparison to FSM.

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“…[2,5,6,9,10,11,12,13,14,15]). Armaly et al [2] performed Laser-Doppler measurements of velocity distribution and reattachment length downstream of a BFS mounted in a 18:1 aspect ratio (step span/step height) channel for a wide range of Reynolds number, 70 < Re < 8000.…”

Section: Introductionmentioning

confidence: 99%

Particle image velocimetry investigation of steady flow over a backwardfacing step

Dol

2016

EPJ Web of Conferences

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Abstract. The backward-facing step (BFS) is a heuristic example, allowing for complex phenomena to arise in a simple geometry. Particle Image Velocimetry (PIV) investigations of mean-velocity distributions of backward-facing step flow with steady inlet condition were carried out and good agreement was obtained between current and previously published results for 50 Re 400. This confirms that the current experimental capabilities can provide detailed and accurate velocity information. The flow behaviour downstream the step depends on the strength of separated shear layer, which the circulation depends on the bulk flow, recirculation zone length and vortex formation time. Since the vortex formation process is governed by the circulation flux convected along the wall layer from the step, for Re 400, all of the circulation contained in the shear layer is drawn into the recirculation region. Thus, in a case where the shear layer characteristics are modified (e.g. in higher Reynolds number and unsteady flows), the balance of circulation is modified that would result in shedding.

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A numerical revisit of backward-facing step flow problem

Cited by 72 publications

References 16 publications

Effects of the Molar Ratio of Counter-Ions on Flow Characteristics of Surfactant Solutions Sweeping Cavities

Effects of the Molar Ratio of Counter-Ions on Flow Characteristics of Surfactant Solutions Sweeping Cavities

Assessment of two pressure-velocity coupling strategies for local meshless numerical method

Particle image velocimetry investigation of steady flow over a backwardfacing step

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