Abstract
The slit die has long been used to determine the viscosity of fluids. Experimentally, pressure drops are measured along the fully developed region of the die as a function of flow rate. Wall shear stress is calculated from the pressure gradient and shear rate from the volumetric flow rate. Finally, the viscosity is determined by the ratio of shear stress to shear rate.
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Abbreviations
- S zz :
-
wall normal stress in flow direction
- N l :
-
first normal stress difference
- P Exit :
-
exit pressure
- – ∂S zz/∂ Z :
-
gradient of wall normal stress
- – ∂p/∂Z :
-
pressure gradient
- λ :
-
characteristic time of fluid
- ẏ:
-
shear rate
- σ 12 :
-
Shear stress
- W :
-
width of slit die
- h :
-
height of slit die
- ẏw, ẏ:
-
wall shear rate
- σ W,σ :
-
wall shear stress
- Q :
-
volumetric flow rate
- n :
-
slope of log σW versus log (6Q/wh 2) plot
- η :
-
fluid viscosity
- η 0 :
-
zero-shear viscosity
- n :
-
constant in eqn (2.6)
- A, b :
-
constants in eqn (2.7)
- W e :
-
Weissenberg number
- N D :
-
Deborah number
- t f :
-
time for fluid to pass through exit region
- L ex :
-
exit length
- <V>:
-
Average flow velocity in slit die
- M̄ W :
-
Weight-average molecular weight
- ρ :
-
fluid density
- R :
-
universal gas constant
- T :
-
Kelvin temperature
- C p :
-
specific heat in eqn (2.11)
- k :
-
thermal conductivity in eqn (2.11)
- k 0, b :
-
constants in eqn (2.12)
- T 0 :
-
reference temperature in eqn (2.12)
- ẏ0 :
-
shear rate at which non-Newtonian behavior commences (eqn (2.12))
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© 1993 Springer Science+Business Media Dordrecht
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Han, C.D. (1993). Slit Rheometry. In: Collyer, A.A., Clegg, D.W. (eds) Rheological Measurement. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2898-0_2
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DOI: https://doi.org/10.1007/978-94-017-2898-0_2
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