Viscosity of Some Fluids: Models with Variable Viscosity
Viscosity of some fluids Models with variable viscosity Differential type models Rate type models Integral type models Download
Some frequently used models for non-Newtonian fluids
Josef M´lek a malek@karlin.mff.cuni.cz
Mathematical Institute Charles University
18 March 2011
Josef M´lek a
Non-Newtonian fluids
Viscosity of some fluids Models with variable viscosity Differential type models Rate type models Integral type models Download
Viscosity of some fluids
Fluid Air (at Benzene Water (at 18 ◦ C) Olive oil (at 20 ◦ C) Motor oil SAE 50 Honey Ketchup Peanut butter Tar Earth lower mantle 18 ◦ C) Viscosity [cP] 0.02638 0.5 1 84 540 2000–3000 50000–70000 150000–250000 3 × 1010 3 × 1025
Table: Viscosity of some fluids
Josef M´lek a Non-Newtonian fluids
Viscosity of some fluids Models with variable viscosity Differential type models Rate type models Integral type models Download
Shear dependent viscosity Models with pressure dependent viscosity Models with stress dependent viscosity Models with discontinuous rheology
Models with variable viscosity
General form: T = −pI + 2µ(D, T)D
S
(2.1)
Particular models mainly developed by chemical engineers.
Josef M´lek a
Non-Newtonian fluids
Viscosity of some fluids Models with variable viscosity Differential type models Rate type models Integral type models Download
Shear dependent viscosity Models with pressure dependent viscosity Models with stress dependent viscosity Models with discontinuous rheology
Ostwald–de Waele power law
¨ Wolfgang Ostwald. Uber die Geschwindigkeitsfunktion der Viskosit¨t disperser Systeme. I. Colloid Polym. Sci., 36:99–117, a 1925 A. de Waele. Viscometry and plastometry. J. Oil Colour Chem. Assoc., 6:33–69, 1923 µ(D) = µ0 |D|n−1 (2.2)
Fits experimental data for: ball point pen ink, molten chocolate, aqueous dispersion of polymer latex spheres
Josef M´lek a
Non-Newtonian fluids
Viscosity of some fluids Models with variable viscosity Differential
Some frequently used models for non-Newtonian fluids
Josef M´lek a malek@karlin.mff.cuni.cz
Mathematical Institute Charles University
18 March 2011
Josef M´lek a
Non-Newtonian fluids
Viscosity of some fluids Models with variable viscosity Differential type models Rate type models Integral type models Download
Viscosity of some fluids
Fluid Air (at Benzene Water (at 18 ◦ C) Olive oil (at 20 ◦ C) Motor oil SAE 50 Honey Ketchup Peanut butter Tar Earth lower mantle 18 ◦ C) Viscosity [cP] 0.02638 0.5 1 84 540 2000–3000 50000–70000 150000–250000 3 × 1010 3 × 1025
Table: Viscosity of some fluids
Josef M´lek a Non-Newtonian fluids
Viscosity of some fluids Models with variable viscosity Differential type models Rate type models Integral type models Download
Shear dependent viscosity Models with pressure dependent viscosity Models with stress dependent viscosity Models with discontinuous rheology
Models with variable viscosity
General form: T = −pI + 2µ(D, T)D
S
(2.1)
Particular models mainly developed by chemical engineers.
Josef M´lek a
Non-Newtonian fluids
Viscosity of some fluids Models with variable viscosity Differential type models Rate type models Integral type models Download
Shear dependent viscosity Models with pressure dependent viscosity Models with stress dependent viscosity Models with discontinuous rheology
Ostwald–de Waele power law
¨ Wolfgang Ostwald. Uber die Geschwindigkeitsfunktion der Viskosit¨t disperser Systeme. I. Colloid Polym. Sci., 36:99–117, a 1925 A. de Waele. Viscometry and plastometry. J. Oil Colour Chem. Assoc., 6:33–69, 1923 µ(D) = µ0 |D|n−1 (2.2)
Fits experimental data for: ball point pen ink, molten chocolate, aqueous dispersion of polymer latex spheres
Josef M´lek a
Non-Newtonian fluids
Viscosity of some fluids Models with variable viscosity Differential