Effect of Hydrodynamic Interactions on Chaos Control in Semi-Dilute Suspensions of Periodically Forced Slender Rods in Simple Shear Flow

JOURNAL OF CHEMICAL ENGINEERING OF JAPAN

Krishnannair Radhakrishnan²  Tumkur Ramaswamy Ramamohan¹ 

[1] Computational Materials Science, Unit-I, Regional Research Laboratory (CSIR);Department of Mathematics, LBS College of Engineering

关键词: Semi-Dilute Suspensions;    Hydrodynamic Interactions;    Control;    Chaos;    Rheology;   

DOI  :  10.1252/jcej.37.1408

来源: Maruzen Company Ltd

【 摘 要 】

References(32)Cited-By(1)In earlier work we demonstrated that in the presence of an external periodic force, the rheological parameters of slender rods in simple shear flow vary chaotically for a certain range of parameters. Algorithms are available in the literature to control the chaotic dynamics of these rheological parameters onto periodic solutions. In earlier work, we also showed that uponincluding hydrodynamic interactions between the particles, we can extend the range of parameters of the suspension in which the rheological parameters vary chaotically. This result suggested that we try to determine the effect of hydrodynamic interactions in the semi-dilute limit on control of chaos in the rheological parameters. We present numerical evidence that inclusion of hydrodynamic interactions in the semi-dilute regime greatly increases the difficulty of control of chaos. This suggests that inclusion of hydrodynamic interactions could lead to considerably different results when compared to dilute suspensions and thus it may be necessary to include these effects in simulations of moderately concentrated suspensions.

【 授权许可】

Unknown