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.
Similar content being viewed by others
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
P. M. Ogibalov and A. Kh. Mirzadzhanzade, Nonstationary Motion of Viscous-Plastic Media [in Russian], Moscow State Univ. (1970), p. 415.
Z. P. Shul'man, Convective Heat and Mass Transfer of Rheologically Complex Liquids [in Russian], Énergiya, Moscow (1975), p. 350.
N. V. Mikhailov and P. A. Rebinder, “The structural-mechanical properties of disperse and high-molecular systems,” Koiloidn. Zh.,17, 107 (1955).
U. L. Wilkinson, Non-Newtonian Liquids [Russian translation], Mir, Moscow (1964), p. 216.
Lin Tozya-Tszyao, Theory of Hydrodynamic Stability [Russian translation], IL, Moscow (1958).
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).
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 35, No. 5, pp. 868–871, November, 1978.
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00859686