The deborah and weissenberg numbers
WebThe Weissenberg number ( Wi) is a dimensionless number used in the study of viscoelastic flows. It is named after Karl Weissenberg. The dimensionless number compares the elastic forces to the viscous forces. It can be variously defined, but it is usually given by the relation of stress relaxation time of the fluid and a specific process time. WebThe flow of viscoelastic polymer solutions and their use as displacing agents in porous media are important for industrial applications, such as enhanced oil recovery and soil remediation. The complexity of flow and high elasticity of conventionally
The deborah and weissenberg numbers
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Webpapers to highlight the different effects that the Deborah and Weissenberg numbers measure. The Deborah number As every good rheologist knows the Deborah number … WebλV may also be interpreted as a Deborah number (Reiner, 1964) as it is a ratio of the polymeric time scale to a convective timescale t conv= V. Indeed, in a steady channel flow …
WebThe Weissenberg number indicates the degree of anisotropy or orientation generated by the deformation, and is appropriate to describe flows with a constant stretch history, such as simple shear. In contrast, the Deborah number should be used to describe flows with a non-constant stretch history, and physically represents the rate at which ... WebApr 13, 2024 · The Weissenberg number describes the ratio of elastic to viscous forces, ... non-monotonic behaviour of elastic range scaling in polymeric turbulence at large Reynolds and Deborah numbers. Sci.
WebMay 7, 2024 · The Deborah and Weissenberg numbers. ... Lei SH, et al. Mixing enhancement due to viscoelastic instability in serpentine microchannels at very large weissenberg numbers. In: 2016 15th IEEE intersociety conference on thermal and thermomechanical phenomena in electronic systems. New York: IEEE, 2016, pp.301–306. ... WebDec 14, 2024 · The relative unsteadiness and nonlinearity of these time-dependent flows are quantified through a Deborah and Weissenberg number, respectively. The impact of changing these dimensionless parameters on the characteristics of …
WebThe Weissenberg number indicates the degree of anisotropy or orientation generated by the deformation, and is appropriate to describe flows with a constant stretch history, such as …
WebDec 14, 2024 · At a small Deborah number (e.g., De < 0.1) ... (Re), the Deborah number (De) and the Weissenberg number (Wi) are used to characterize viscoelasticity of non-Newtonian flows. just leather in san jose californiaWebDebra Weisberg has been practicing law for 25 years. She has been a member of Donahue Hagan Klein & Weisberg, LLC since 1998, being named as a Partner in the firm in 2001. … laura stuckey run propertyWebJun 15, 2024 · Using the concepts of Deborah and Weissenberg numbers as well as Pipkin spaces for two spatial scales, an arbitrary annular (wellbore) section and the particle scale, we show that PAC solutions ... just leather worcesterlaura sutter easley scWebMay 21, 2024 · While the Deborah number represents some degree of solidness, the Weissenberg number, according to Dealy, “is a dimensionless group intended to describe … just leave it all to meWebThe Reynolds numbers define the relative importance of viscous and inertia forces; the Weissenberg numbers, the ratio of elastic to viscous behaviour; (2) and the Deborah … laura swaffieldWebJun 1, 2024 · These dimensionless numbers would be the Weissenberg number, W i, and the Deborah number, D e. Roughly speaking, D e is associated with the duration of transient … laura succony papworth