Abstract
A boundary layer analysis is applied to the oscillating cylinder system in a viscoelastic liquid. The effect of the inherent elasticity of the liquid is to increase the thickness of the inner vortex system of the steady streaming secondary flows, which is consistent with the experimental observation reported earlier.
Résumé
L'analyse d'un système composé d'un cylindre oscillant dans un liquide visco-élastique est approchée tel un problème de couche limite. L'effet de l'élasticité inhérente du liquide est d'augmenter l'épaisseur du vortex interne des écoulements secondaires en régime permanent, effet en accord avec l'observation expérimentale décrite dans une publication antérieure.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Ching-Feng Chang andW. R. Schowalter, Nature252, 686 (1974), and253, 572 (1975).
Ching-Feng, Chang, Ph. D. Dissertation, Princeton University (1975).
M. M. Denn, Chem. Eng. Science,22, 395 (1967).
C.-C. Hsu, J. Fluid Mech.27, 445 (1967).
D. W. Beard andK. Walters, Proc. Camb. Phil. Soc.60, 667 (1964).
G. K. Rajeswari andS. L. Rathna, Z. angew. Math. Phys.13, 43 (1962).
M. H. Davies, Z. angew. Math. Phys.17, 189 (1966).
K. R. Frater, J. Fluid Mech.30, 689 (1967).
K. Walters, Z. angew. Math. Phys.21, 276 (1970).
K. Walters,Second Order Effects in Elasticity, Plasticity, and Fluid Dynamics, Pergamon Press, Oxford (1964), p. 507.
M. N. Mathur andM. Nandanan, ZAMM,52, 493 (1972).
H. Schlichting,Boundary Layer Theory, 6th ed., McGraw-Hill, New York (1968), p. 393.
K. Walters, Z. angew. Math. Phys.21, 592 (1970).
W. R. Schowalter,Mechanics of Non-Newtonian Fluids, Pergamon Press, Oxford (1976).
Ching-Feng, Chang andW. R. Schowalter, will appear in J. Non-Newtonian Fluid Mech. (1977).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chang, CF. Boundary layer analysis of oscillating cylinder flows in a viscoelastic liquid. Journal of Applied Mathematics and Physics (ZAMP) 28, 283–288 (1977). https://doi.org/10.1007/BF01595595
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01595595