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Motion of an elastoviscous liquid within a tube after removal of a pressure differential

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Journal of engineering physics Aims and scope

Abstract

The nonisothermal flow of a nonlinear hereditary liquid within a ring-shaped channel after instantaneous removal of a pressure differential is studied.

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Abbreviations

r,ϕ, z:

cylindrical coordinates

R1 :

interior cylinder radius

R2 :

exterior cylinder radius

t:

time

Ct(t), C −1t (t):

Cauchy and Finger finite deformation tensors

E:

unit tensor

D:

deformation rate tensor

m(t):

memory function

ɛ:

model parameter

α:

relaxation time spectrum parameter

ζ(α):

Riemann zeta-function

tr:

tensor trace operator

λk :

relaxation time

λ :

maximum relaxation time in spectrum

ηo :

initial viscosity

ηk :

constants with dimensions of viscosity

ρ:

liquid density

∂p/∂z:

pressure gradient

T:

excess stress tensor

θ:

temperature

vz :

z-component of velocity

V:

characteristic velocity

Ea :

process activation energy

R:

universal gas constant

¯Q=Q/2πR 21 Vδ:

dimensionless flow rate

Literature cited

  1. Z. P. Shul'man, B. M. Khusid, and Z. A. Shabunina, “Development of flow of an elastoviscous liquid within a tube under the influence of a constant pressure gradient,” Inzh.-Fiz. Zh.,45, No. 2, 245–250 (1983).

    Google Scholar 

  2. I. Etter and W. R. Schowalter, “Unsteady flow of an Oldroyd fluid in a circular tube,” Trans. Soc. Rheol.,9, No. 2, 351–369 (1965).

    Google Scholar 

  3. N. D. Waters and M. J. King, “Unsteady flow of an elasticoviscous liquid,” Rheol. Acta,9, No. 3, 345–355 (1970).

    Google Scholar 

  4. P. Townsend, “Numerical solutions of some unsteady flows of elasticoviscous liquids,” Rheol. Acta,12, No. 1, 13–18 (1973).

    Google Scholar 

  5. Z. P. Shul'man, S. M. Aleinikov, B. M. Khusid, É. É. Yakobson, “Rheological equations of state of flowing polymer media (analysis of the state problem),” Preprint No. 3, ITMO Akad Nauk BSSR, Minsk (1981).

    Google Scholar 

  6. G. V. Vinogradov and A. Ya. Malkin, Polymer Rheology [in Russian], Khimiya, Moscow (1977).

    Google Scholar 

  7. A. G. Fredricson, Principles and Application of Rheology, Prentice-Hall, New York (1964).

    Google Scholar 

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Author information

Authors and Affiliations

  1. A. V. Lykov Institute of Heat and Mass Transfer, Academy of Sciences of the Belorussian SSR, Minsk

    Z. P. Shul'man, B. M. Khusid & Z. A. Shabunina

Authors
  1. Z. P. Shul'man
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  2. B. M. Khusid
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  3. Z. A. Shabunina
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 45, No. 5, pp. 850–854, November, 1983.

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Shul'man, Z.P., Khusid, B.M. & Shabunina, Z.A. Motion of an elastoviscous liquid within a tube after removal of a pressure differential. Journal of Engineering Physics 45, 1337–1341 (1983). https://doi.org/10.1007/BF01254747

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  • DOI: https://doi.org/10.1007/BF01254747

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