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Hydroelastic instability of viscoelastic fluids in developing flow through a compliant channel

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Abstract

Linear stability of a viscoelastic fluid obeying the Walters’ B model is analytically and numerically investigated in the entrance region of a plane channel formed between two parallel plates. The plates are compliant and obey the two degree-of-freedom von Karman solid model. Having obtained the base-flow velocity profiles using the boundary-layer theory, their vulnerability to infinitesimally small varicose disturbances is investigated using the temporal, normal-mode, linear stability analysis. The results obtained show that a fluid’s elasticity has a stabilizing effect on the developing velocity profiles. The distance at which the flow becomes unstable shifts further downstream (i.e., towards the fully-developed section) of the channel when the Deborah number is increased. An increase in the flexural rigidity of the plates is shown to have a stabilizing effect on the short waves (i.e., the flutter modes) whereas an increase in its mass can dramatically destabilize such modes. The flow becomes more stable when the stiffness of the soft matter restraining the vertical movement of the plates is increased with the effect being more significant on the long waves (i.e., flow-induced modes). Boosting the dissipating effect of this material is predicted to have a stabilizing effect on the short waves.

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Authors and Affiliations

  1. Center of Excellence in Design and Optimization of Energy Systems (CEDOES), School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, 11155-4563, Iran

    Morteza Safarifard, Zahra Aghaee & Kayvan Sadeghy

  2. Department of Mechanical Engineering, University of Tehran, Rezvanshahr, 43841-119, Iran

    Mohammad Pourjafar

  3. Satellite Research Institute, Iranian Space Research Center, Tehran, 1997994313, Iran

    Solmaz Bazargan

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  1. Morteza Safarifard
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  2. Zahra Aghaee
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Correspondence to Kayvan Sadeghy.

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Safarifard, M., Aghaee, Z., Pourjafar, M. et al. Hydroelastic instability of viscoelastic fluids in developing flow through a compliant channel. Korea-Aust. Rheol. J. 32, 99–119 (2020). https://doi.org/10.1007/s13367-020-0010-9

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