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Effect of the elastic factor on the hydrodynamic stability of a structurally viscous medium

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Abstract

The effect of relaxation phenomena on the hydrodynamic stability of the plane gradient flow of a structurally viscous medium is investigated using linear theory.

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Abbreviations

τ ij :

stress tensor deviator

Ui :

components of the velocity vector

xi :

coordinates

t:

time

P:

pressure

И=τ0L/η*V:

plasticity parameter

τ o :

limiting shear stress

α andαc:

dimensionless wave number and the perturbation frequency

Re=ρVL/η*:

Reynolds number

ρ :

density

Fij :

deformation rate tensor

Literature cited

  1. P. M. Ogibalov and A. Kh. Mirzadzhanzade, Nonstationary Motion of Viscous-Plastic Media [in Russian], Moscow State Univ. (1970), p. 415.

  2. Z. P. Shul'man, Convective Heat and Mass Transfer of Rheologically Complex Liquids [in Russian], Énergiya, Moscow (1975), p. 350.

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  3. N. V. Mikhailov and P. A. Rebinder, “The structural-mechanical properties of disperse and high-molecular systems,” Koiloidn. Zh.,17, 107 (1955).

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  4. U. L. Wilkinson, Non-Newtonian Liquids [Russian translation], Mir, Moscow (1964), p. 216.

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  5. Lin Tozya-Tszyao, Theory of Hydrodynamic Stability [Russian translation], IL, Moscow (1958).

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  6. K. B. Pavlov, A. S. Romanov, and S. L. Simkhovich, “Poiseuille stability of the flow of a viscous-plastic liquid with respect to perturbations of finite amplitude,” Izv. Akad. Nauk SSSR, No. 5, 166–169 (1975).

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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 35, No. 5, pp. 868–871, November, 1978.

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Ionochkina, L.I., Romanov, A.S. & Simkhovich, S.L. Effect of the elastic factor on the hydrodynamic stability of a structurally viscous medium. Journal of Engineering Physics 35, 1336–1339 (1978). https://doi.org/10.1007/BF00859686

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  • DOI: https://doi.org/10.1007/BF00859686

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