Application of the Lambert W function to steady shearing Newtonian flows with logarithmic wall slip

2020 ◽  
Vol 32 (5) ◽  
pp. 053107 ◽  
Author(s):  
Rafaella Pitsillou ◽  
Alexandros Syrakos ◽  
Georgios C. Georgiou
2011 ◽  
Vol 243-249 ◽  
pp. 41-44
Author(s):  
Li Zhang ◽  
Min Quan Feng ◽  
Xiao Bin Zhang

Wall slip of sweage sludge and affect slip possible factors were studied experimentally by using a rotational rheometer with parallel plate fixtures and by means high speed camera. In the steady shearing flow, the technique involves placing a straight line marker monitoring of wall slip,checking the gap dependence of the stress/ strain data. For sweage sludge of water content 80%, in the shearing flow it was found that, as the strain amplitude increasing, the stress data obtained at different gaps, then, at the certain strain amplitude, started to diverge, indicating that wall slip occurred. But for sweage sludge of water content 90%, these curves are superimpose, indicating no slip occurred. In the dynamic oscillatory shear flow, we analyze the total wave. While strain, stress amplitude decreases with the time, while strain, the stress amplitude remains constant.


2003 ◽  
Vol 47 (3) ◽  
pp. 737-757 ◽  
Author(s):  
Hiroshi Mizunuma ◽  
Hideyuki Takagi

2021 ◽  
Vol 1132 (1) ◽  
pp. 012040
Author(s):  
Kartik Suresh ◽  
C K Arjun ◽  
Damu Murali ◽  
S Ajith Kumar

2018 ◽  
Vol 3 (6) ◽  
Author(s):  
Benjamin Cross ◽  
Chloé Barraud ◽  
Cyril Picard ◽  
Liliane Léger ◽  
Frédéric Restagno ◽  
...  

2021 ◽  
Author(s):  
Patrick Wilms ◽  
Jan Wieringa ◽  
Theo Blijdenstein ◽  
Kees van Malssen ◽  
Reinhard Kohlus

AbstractThe rheological characterization of concentrated suspensions is complicated by the heterogeneous nature of their flow. In this contribution, the shear viscosity and wall slip velocity are quantified for highly concentrated suspensions (solid volume fractions of 0.55–0.60, D4,3 ~ 5 µm). The shear viscosity was determined using a high-pressure capillary rheometer equipped with a 3D-printed die that has a grooved surface of the internal flow channel. The wall slip velocity was then calculated from the difference between the apparent shear rates through a rough and smooth die, at identical wall shear stress. The influence of liquid phase rheology on the wall slip velocity was investigated by using different thickeners, resulting in different degrees of shear rate dependency, i.e. the flow indices varied between 0.20 and 1.00. The wall slip velocity scaled with the flow index of the liquid phase at a solid volume fraction of 0.60 and showed increasingly large deviations with decreasing solid volume fraction. It is hypothesized that these deviations are related to shear-induced migration of solids and macromolecules due to the large shear stress and shear rate gradients.


2021 ◽  
pp. 096739112098650
Author(s):  
Dah Hee Kim ◽  
Young Seok Song

The purpose of this study is to integrate a polymeric film onto a mold to impede thermal heat transfer during resin infusion. A thin plastic plate was fabricated by using microinjection molding. A polyimide (PI) film was laminated onto a mold in an effort to produce a thin light guide plate (LGP). The film could decelerate the solidification of molten polymer in the cavity of mold and enhance the wall slip of resin on the mold. The insulation effect was modeled numerically. The surface roughness and pattern transfer characteristics of the LGP were evaluated. It was found that the fluidity of the resin increased due to the decreased skin layer during mold filling. The results showed that the strategy proposed in this study could help decrease the thickness of LGP effectively when manufacturing the part via injection molding.


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