Abstract
Calculations are carried out of the dynamic forces and viscous heating when a layer of Newtonian liquid at the bottom of a rigid container is extruded through a matrix in the form of a circular opening or a narrow slit.
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Abbreviations
- r, z:
-
axes of a Cartesian (k=0) or a cylindrical (k=1) system of coordinates
- u, v:
-
velocity components of the liquid in the directions r and z, respectively
- V:
-
velocity of the liquid in the opening
- p:
-
pressure
- θ1 and θ2 :
-
temperature of the liquid under the die and in the opening
- m, n:
-
rheological constants of the material
- τ:
-
tangential stress
- \(\dot \gamma \) :
-
shear velocity
- ρo, cp, λo :
-
density, heat capacity, and thermal conductivity of the liquid
- S, M, w:
-
area of the working surface, mass and velocity of motion of the die
- ro,l,a, R:
-
linear dimensions of the matrix and the container
- F:
-
operating force on the instrument
- Re, Pe:
-
similitude criteria
Literature cited
G. A. Smirnov-Alyaev, The Resistance of Materials to Plastic Deformation [in Russian], Mashinostroenie, Leningrad (1978).
L. M. Kachanov, Principles of the Theory of Plasticity [in Russian], Nauka, Moscow (1969).
W. L. Wilkinson, Newtonian Liquids [Russian translation], Mir, Moscow (1964).
A. V. Dubovik and V. K. Bobolev, “The flow of a layer of Newtonian liquid under shock,” Inzh.-Fiz. Zh.,27, No. 2, 317–325 (1974).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 4, pp. 710–715, October, 1980.
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Dubovik, A.V. Heating of a newtonian liquid when extruded through a matrix. Journal of Engineering Physics 39, 1130–1134 (1980). https://doi.org/10.1007/BF00822150
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DOI: https://doi.org/10.1007/BF00822150