Summary
The simplest case of structured fluid theory is shown to correspond to a type of Maxwell fluid which exhibits normal stress differences. A nonlinear problem related to the deformation of suspended liquid drops as induced by inertial effects is solved and the influence of structured fluid parameters investigated.
Zusammenfassung
Es wird gezeigt, daß der einfachste Fall einer strukturierten Flüssigkeit einer Art Maxwellscher Flüssigkeit entspricht, welche Differenzen im Betrag der Normalspannungen aufweist. Ein nichtlineares Problem, welches mit der durch Trägheit verursachten Deformation eines Tropfens zusammenhängt, wird gelöst. Der Einfluß der Parameter der strukturierten Flüssigkeit wird untersucht.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Dahler, J. S., andL. E. Scriven: Theory of Structured Continua: I. General Consideration of Angular Momentum and Polarization. Proceedings of the Royal SocietyA 275, 504–527 (1963).
Eringen, A. C.: Simple Microfluids. International Journal of Engineering Sciences2, 205–217 (1964).
Lee, K. H., andR. S. Brodkey: Time-Dependent Polymer Rheology under Constant Stress and under Constant Shear Conditions. Transactions of the Society of Rheology15, 627–646 (1971).
Kline, K. A.: polymers as Structured Continua: Superposed Oscillatory Shear Flows. Transactions of the Society of Rheology17, 525–536 (1973).
Allen, S. J., K. A. Kline, andC. C. Ling: Transient Shear Flow of Fluids with Deformable Microstructure. Acta Mechanica18, 1–20 (1973).
Kline, K. A., andS. J. Allen: A Thermodynamical Theory of Fluid Suspensions. Physics of Fluids14, 1863–1869 (1971).
Kline, K. A., andS. J. Allen: Concentration Effects in Oscillatory Blood Flow. Biorheology6, 99–107 (1969).
Silberberg, A., andP. F. Mijnlieff: Study of Reversible Gelation of Partially Neutralized Polymethacrylic Acid by Viscoelastic Measurements. Journal of Polymer Science8, 1089–1110 (1970).
Middleman, S.: The Flow of High Polymers. New York: Interscience. 1968.
Kline, K. A.: On a Liquid Drop Model of Blood Rheology. Biorheology9, 287–299 (1972).
Condiff, D. W., andJ. S. Dahler: Fluid Mechanical Aspects of Antisymmetric Stress. The Physics of Fluids7, 842–854 (1964).
Eringen, A. C.: Theory of Micropolar Fluids. Journal of Mathematics and Mechanics16, 1–18 (1966).
Hildebrand, F. B.: Introduction to Numerical Analysis. New York: McGraw-Hill. 1956.
Kline, K. A., S. J. Allen, andM. Keshavarzi: Dissipative Effects due to Hydrodynamic Interactions Between Red Cells in a Theory of Pulse Transmission and Oscillatory Flow in Arteries. Biorheology9, 1–22 (1972).
Brenner, H.: Rheology of a Dilute Suspension of Dipolar Spherical Particles in an External Field. Journal of Colloid and Interface Science32, 141–158 (1970).
Nikolaevskii, V. N., andE. F. Afanasiev: On Some Examples of Media with Microstructure of Continuous Particles. International Journal of Solids and Structures5, 671 to 678 (1969).
Sandberg, T. K., andK. A. Kline: Flow of a Dilute Suspension of Spherical Particles into a Stagnation Point. Zeitschrift für Angewandte Mathematik und Mechanik53, 685–691 (1973).
Karnis, A., H. L. Goldsmith, andS. G. Mason: The Kinetics of Flowing Dispersions. Journal of Colloid and Interface Science6, 531–553 (1966).
Taylor, G. I.: The Viscosity of a Fluid Containing Small Drops of Another Fluid. Proceedings of the Royal SocietyA 138, 41–48 (1932).
Author information
Authors and Affiliations
Additional information
With 2 Figures
Rights and permissions
About this article
Cite this article
Sandberg, T.K., Kline, K.A. Structured fluid theory. Acta Mechanica 24, 141–155 (1976). https://doi.org/10.1007/BF01175763
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01175763