Charakterystyka laminarnego płynięcia cieczy nienewtonowskich za pomocą modelu reologicznego o trzech parametrach
τ=(τ_0^(1/n)+KG)^n for τ > τ0,
(G ) ̇= 0 for τ ≤ τ0.
This is a generalization of the formulae of Newton, de Waele-Ostwald and Bingham.
The paper contains also a solution of the problem of the Vocadlo model as applied to the rotating viscometer constants To, K, n and the transformation of the measurement curve into the real flow curve. This method is applied successfully to the description of How curve of homo-
geneous soil-water mixtures. It is found that the Vocadlo equation describes in a more perfect manner the motion of such mixtures than the models of Bingham and de Waele-Ostwald hitherto used.
References
G. ANNEN, Zur Berechnung der Reibungsverluste von Klärschlamm, Das Gas- und Wasserfach, Wasser-Abwasser, 12 (1963), 342-346.
H. E. BABBITT, D. H. CALDWELL, The Flow of Muds, Sludges and Suspensions in Circular Pipe. Trans. Amer. Inst. Chem. Engrs., 37 (1941), 237-266.
E.C. BINGHAM, Fluidity and Plasticity, New York 1922.
J. BRIANT, Revue de l'Institut Franc. du Pétrole, 11 (1956), 113-133, 247-287.
R. S. BRODKEY, Translating terms for Non-Newtonian flow, Ind. and Engineering Chemistry, 9, 54 (1962), 44-48.
R. LE BARON BOWEN, Jr., Interpreting and converting data, Chem. Engin., (1961), 131-136.
J. G. BRODNYAN, F. H. GASKINS, W. PHILIPOFF, Correlation between rheological parameters measured in instruments of different geometries, Symp. on Non-Newtonian Viscometry, Washington, X/1960, 14-25,
B. P. COLEMAN, H. MARKOVITZ, W. NOLL, Viscometric Flows, Theory and Experiment, Springer Verlag, Berlin-Heidelberg-New York 1966.
D. W. DODGE, A, B. METZNER, Turbulent flow of Non-Newtonian systems, A. I. Ch. E. Journal, 2, 5 (1959), 189-204. 10. F. R. EIRICH, Rheology, Theory and Applications, 1, New York 1956.
A. G. EPPRECHT, Le comportement rhéologique véritable des substances plastiques, Revue Inter. de la Chocolaterie, 7. 1959.
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M. MARTIN, B. LE FUR, Ecoulement laminaire d'un fluide non newtonien dans un tuyau, Applications aux boues de forage, Colloque de l'Association de Recherche sur les Techn. de Forage, IFP Paris, Juin 1963, Commun. Nr 3.
E. M. MERRILL, Pseudoplastic Flow - Viscometry, Correlations of shear stress vs. shear rate, and prediction od laminar flow in tubes, J. of Colloid Sci., 11 (1956), 1-14.
A. B. METZNER, J. C. REED, Flow of Non-Newtonian fluids-correlation of the laminar, transition, and turbulent flow regions, A.I.Ch.E.J. (1955), 434-440.
A. B. METZNER, M. GRAHAM PARK, Turbulent flow characteristics of viscoelastic fluids, J. Fluid Mech., vol. 20, 1964, 291 -303.
W. OSTWALD, Über die Geschwindigkeitsfunktion der Viscosität disperser Systeme, Kolloid-Ztg., 36 (1925), 99-117. 20. S. OKA, The Principles of Rheometry. Rheology - Theory and Applications, New York 1959, 17-82.
W. PARZONKA, Reologiczne zachowanie się jednorodnych mieszanin gruntowo-wodnych, IPUW, Wrocław 1966.
W. PARZONKA, Mixtures homogènes sol-eau. Mesures viscosimétriques et comportement rhéologique, Laboratoires de Mécanique des Fluides, Université de Grenoble, 1967.
W. PARZONKA, Comportement rhéologique des mixtures homogènes sol-eau, Arch. Hydrotechniki, 14 (1967), 297-340. 24. W. PARZONKA, Teoria wiskozymetrów dla jednorodnych mieszanin gruntowo-wodnych, Rozpr. Inzyn. (w druku).
W. PARZONKA, J. VOCADLO, Modèle à trois paramètres pour les corps viscoplastiques. Solution pour le viscosimètre rotatif type Couette. C.R. Acad. Sc. Paris, 264 (1967), 745-748. 26. W. PARZONKA, W. WOLSKI, Przybliżone określanie charakterystyk plastyczno-lepkiego płynięcia jednorodnych mieszanin gruntowo-wodnych za pomocą pojedynczego cylindra wiskotestera, Arch. Hydrotechniki (w druku).
M. REINER, Über die Strömung einer elastischen Flüssigkeit in einer Kapillare, Kolloid-Ztg., 39 (1926), 80-87. 28. M. REINER, Deformation, Strain and Flow, London 1960. 29. M. REINER, R. RIWLIN, Über die Strömung einer elastischen Flüssigkeit im Couette Apparat, Koloid-Ztg., 43 (1927), 43.
J. F. RIPKEN, M. PILCH, Studies of the Reduction of Pipe Friction with the Non-Newtonian Additive CMC, St. Anthony Falls Hydraulic Laboratory, Minneapolis, Minnesota 1963.
K. STEIGER-TRIPPI, A. ORY, De l'interprétation des courbes d'écoulement, C.R. de Conférence de Dr Epprecht, Zurich 1960.
D. G. THOMAS, Transport Characteristics of Suspensions, part IV. A.1.Ch.E. J., 8 (1962), 266-271.
J. ULBRECHT, P. MITSCHKA, Chemicke inzenyrstvi nenewtonovskych kapalin, Praha 1965.
J. R. VAN WAZER, J. W. LYONS, K. Y. KIM, R. K. COLWELL, Viscosity and Flow Measurement, New York-London 1963.
J. VOCADLO, Praca doktorska, CSAV, Praga 1967.
R. N. WELTMAN, Friction factors for flow of Non-Newtonian materials in pipelines, Ind. Eng. Chem., 48 (1956), 386-7.
R. N. WELTMAN, P. W. KUHNS, An Automatic Viscometer for Non-Newtonian Material. NACA Techn. Note 3510, Washington 1955.
W.L. WILKINSON, Non-Newtonian Fluids Mechanics, Mixing and Heat Transfer, Pergamon Press, 1960,
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