New contributions on laminar flow of inelastic non-Newtonian fluid in the two-dimensional symmetric expansion: Creeping and slowly moving flow conditions

Ternik, Primož

doi:10.1016/j.jnnfm.2010.07.007

Cited by 26 publications

(20 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The results obtained in this study show that for the 90 expansion angle the flow is always accompanied by a recirculation zones. This result is similar to that found by Dhinakaran et al (2013) and Ternik (2010), who found that these zones are present even for very low values of generalized Reynolds number (up to 0.01).…”

Section: Resupporting

confidence: 91%

Steady Flow of Purely Viscous Shear-Thinning Fluids in a 1:3 Planar Gradual Expansion

Menouer

Chemloul

Chaib

et al. 2019

JAFM

View full text Add to dashboard Cite

Laminar flow of non-Newtonian fluid (shear-thinning) through a 1:3 planar gradual expansion is numerically investigated, for various Power-Law index (0.6, 0.8 and 1.0) and expansion angles (15, 30, 45, 60 and 90°) at different generalized Reynolds number (1 ≤ Reg ≤ 400). The study of these parameters effect on the flow pattern allowed the determination of the two critical generalized Reynolds numbers (Regcr1 and Regcr2), which correspond to the transition from the symmetric to the asymmetric flow and the appearance of the third recirculation zone respectively. The results showed that decreasing the Power-Law index or the expansion angle stabilizes the flow by increasing significantly the two critical generalized Reynolds numbers. In order to predict the two critical generalized Reynolds numbers, two correlations have been proposed.

show abstract

Section: Resupporting

confidence: 91%

Steady Flow of Purely Viscous Shear-Thinning Fluids in a 1:3 Planar Gradual Expansion

Menouer

Chemloul

Chaib

et al. 2019

JAFM

View full text Add to dashboard Cite

show abstract

“…According to the definition used in previous works with power-law fluid flows [10,11] the generalized Reynolds number used throughout this paper is defined based on the upstream channel height and bulk inlet velocity (u)…”

Section: Governing Equationsmentioning

confidence: 99%

Steady flow of power-law fluids in a 1:3 planar sudden expansion

Dhinakaran

Oliveira

Pinho

et al. 2013

Journal of Non-Newtonian Fluid Mechanics

View full text Add to dashboard Cite

The laminar flow of inelastic non-Newtonian fluids, obeying the power-law model, through a planar sudden expansion with a 1:3 expansion ratio was investigated numerically using a finite volume method. A broad range of power-law indices in the range 0.2 n 4 was considered. Shear-thinning, Newtonian and shear-thickening fluids are analyzed, with particular emphasis on the flow patterns and bifurcation phenomenon occurring at high Reynolds number laminar flows. The effect of the generalized Reynolds numbers (based on power-law index, n, and the in flow channel height, h) on the main vortex characteristics and Couette correction are examined in detail in the range varying from 0.01 Regen 600. Values for the critical generalized Reynolds number for the onset of steady flow asymmetry and the appearance of a third main vortex are also included. We found that the shear-thinning behavior increases the critical Regen, while shear-thickening has the opposite effect. Comparison with available literature and with predictions using a commercial software (FluentR 6.3.26) are also presented and discussed. It was found that both results are in good agreement, but that our code is able to achieve converged solution for a broader range of flow conditions, providing new benchmark quality data

show abstract

“…This method has been used successfully in a number of recent studies to simulate isothermal generalized Netwonian fluid flows [12,13]. In the present framework, a second-order central differencing scheme is used for the diffusive terms and a third-order QUICK scheme for the convective terms.…”

Section: Numerical Modellingmentioning

confidence: 99%

Heat transfer enhancement for natural convection flow of water-based nanofluids in a square enclosure

Ternik¹,

Rudolf²

2012

Int. j. simul. model.

View full text Add to dashboard Cite

Numerical analysis is performed to examine the heat transfer enhancement of Au, Al 2 O 3 , Cu and TiO 2 water-based nanofluids. The analysis uses a two-dimensional enclosure under natural convection heat transfer conditions and has been carried out for the Rayleigh number range 10 3 ≤ Ra ≤ 10 5 , and for the nanoparticles' volume fraction range 0 ≤ φ ≤ 0,10. The governing equations were solved with the standard finite-volume method and the hydrodynamic and thermal fields were coupled together using the Boussinesq approximation. Highly accurate numerical results are presented in the form of average Nusselt number and heat transfer enhancement. The results indicate clearly that the average Nusselt number is an increasing function of both, Rayleigh number and volume fraction of nanoparticles. The results also indicate that heat transfer enhancement is possible using nanofluids in comparison to conventional fluids, resulting in the compactness of many industrial devices. However, low Rayleigh numbers show more enhancement compared to high Rayleigh numbers.

show abstract

New contributions on laminar flow of inelastic non-Newtonian fluid in the two-dimensional symmetric expansion: Creeping and slowly moving flow conditions

Cited by 26 publications

References 28 publications

Steady Flow of Purely Viscous Shear-Thinning Fluids in a 1:3 Planar Gradual Expansion

Steady Flow of Purely Viscous Shear-Thinning Fluids in a 1:3 Planar Gradual Expansion

Steady flow of power-law fluids in a 1:3 planar sudden expansion

Heat transfer enhancement for natural convection flow of water-based nanofluids in a square enclosure

Contact Info

Product

Resources

About