References
Beavers, G.S., & D.D. Joseph, The rotating rod viscometer. J. Fluid Mech. 69, 475 (1975).
Coleman, B.D., & W. Noll, Foundations of linear visco-elasticity. Rev. Modern Phys. 33, 239 (1961). Erratum. 36, 1103 (1964).
Coleman, B.D., & H. Markovitz, Normal stress effects in second-order fluids. J. App. Phys. 35, 1 (1964).
Green, A.E., & R.S. Rivlin, The mechanics of non-linear materials with memory. Part I. Arch. Rational Mech. Anal. 1, 1 (1957/58).
Joseph, D.D., Stability of Fluid Motions. Chap. XIII, Vol. II, Berlin-Heidelberg-New York: Springer Tracts in Natural Philosophy, 1976.
Joseph, D.D., & R.L. Fosdick, The free surface on a liquid between cylinders rotating at different speeds. Part I. Arch. Rational Mech. Anal. 49, 321 (1973).
Joseph, D.D., G.S. Beavers & R.L. Fosdick, The free surface on a liquid between cylinders rotating at different speeds. Part II. Arch. Rational Mech. Anal. 49, 381 (1973).
Joseph, D.D., & L. Sturges, The free surface on a liquid filling a trench heated from its side. J. Fluid Mech. 69, 565 (1975).
Noll, W., A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal. 2, 197 (1958).
Pipkin, A.C., Small finite deformations of viscoelastic solids. Rev. Mod. Phys. 36, 1034 (1964).
Author information
Authors and Affiliations
Additional information
This work was supported by the U.S. Army Research Office and by a grant from the U.S. National Science Foundation (GK 19047).
Rights and permissions
About this article
Cite this article
Joseph, D.D., Beavers, G.S. The free surface on a simple fluid between cylinders undergoing torsional oscillations. Arch. Rational Mech. Anal. 62, 323–352 (1976). https://doi.org/10.1007/BF00248269
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00248269