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The axisymmetric long-wave interfacial stability of core-annular flow of power-law fluid with surfactant

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Abstract

The long wave stability of core-annular flow of power-law fluids with an axial pressure gradient is investigated at low Reynolds number. The interface between the two fluids is populated with an insoluble surfactant. The analytic solution for the growth rate of perturbation is obtained with long wave approximation. We are mainly concerned with the effects of shear-thinning/thickening property and interfacial surfactant on the flow stability. The results show that the influence of shear-thinning/thickening property accounts to the change of the capillary number. For a clean interface, the shear-thinning property enhances the capillary instability when the interface is close to the pipe wall. The converse is true when the interface is close to the pipe centerline. For shear-thickening fluids, the situation is reversed. When the interface is close to the pipe centerline, the capillary instability can be restrained due to the influence of surfactant. A parameter set can be found under which the flow is linearly stable.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Tsinghua University, 100084, Beijing, China

    Xue-Wei Sun, Jie Peng & Ke-Qin Zhu

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  1. Xue-Wei Sun
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  2. Jie Peng
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  3. Ke-Qin Zhu
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Correspondence to Jie Peng.

Additional information

The project was supported by the National Natural Science Foundation of China (10972115).

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Sun, XW., Peng, J. & Zhu, KQ. The axisymmetric long-wave interfacial stability of core-annular flow of power-law fluid with surfactant. Acta Mech Sin 28, 24–33 (2012). https://doi.org/10.1007/s10409-012-0016-8

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  • DOI: https://doi.org/10.1007/s10409-012-0016-8

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