Skip to main content
SpringerLink
Log in

A theory of magnetic fluids

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Rosensweig, R. E., Magnetic fluids. Internat. Sci. and Tech. 55, 48–56 (1966).

    Google Scholar 

  2. Curtis, R. A., Magnetic Fluid Dynamics. Ph. D. thesis, Cornell University, (1968).

  3. Neuringer, J. L., & R. E. Rosensweig, Ferrohydrodynamics. Phys. of Fluids 7, 1927–1837 (1964).

    Google Scholar 

  4. Brenner, H., Rheology of a dilute suspension of dipolar spherical particles in an external field. J. Colloid and Interface Sci. 32, 141–158 (1970).

    Google Scholar 

  5. Müller, I., On the entropy inequality. Arch. Rational Mech. Anal. 26, 118–141 (1967).

    Google Scholar 

  6. Coleman, B. D., & W. Noll, The thermodynamics of elastic materials with heat conduction and viscosity. Arch. Rational Mech. Anal. 13, 167–178 (1963).

    MATH  Google Scholar 

  7. Kellogg, O. D., Foundations of Potential Theory. Berlin: Springer 1929.

    Google Scholar 

  8. Brown, W. F., Jr., Magnetoelastic Interactions, Springer Tracts in Natural Philosophy, Volume 9. New York: Springer 1966.

    Google Scholar 

  9. Truesdell, C., & W. Noll, The Non-Linear Field Theories of Mechanics. Handbuch der Physik III/3. Berlin-Heidelberg-New York: Springer 1965.

    Google Scholar 

  10. Leslie, F. M., Some constitutive equations for liquid crystals. Arch. Rational Mech. Anal. 28, 265–283 (1968).

    CAS  Google Scholar 

  11. Ericksen, J. L., Conservation laws for liquid crystals. Trans. Soc. Rheol. 5, 23–34 (1961).

    Google Scholar 

  12. Leslie, F. M., Some thermal effects in cholesteric liquid crystals. Proc. Roy. Soc. Lond. A 307, 359–372 (1968).

    Google Scholar 

  13. Spencer, A. J. M., Isotropic integrity bases for vectors and tensors, part II. Arch. Rational Mech. Anal. 18, 51–82 (1965).

    Google Scholar 

  14. Leslie, F. M., Some constitutive equations for anisotropic fluids. Quart. J. Mech. Appl. Math. 19, 257–270 (1966).

    Google Scholar 

  15. Müller, I., A thermodynamic theory of fluid mixtures. Arch. Rational Mech. Anal. 28, 1–39 (1968).

    Google Scholar 

  16. Protter, M. H., & H. F. Weinberger. Maximum Principles in Differential Equations. Englewood Cliffs, New Jersey: Prentice-Hall Inc. 1967.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Theoretical & Applied Mechanics, Cornell University, Ithaca, New York

    James T. Jenkins

Authors
  1. James T. Jenkins
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by J. L. Ericksen

I am indebted to Professor J. L. Ericksen for suggesting this problem and for numerous discussions during the course of the work.

This research was supported by the National Science Foundation and is a portion of a dissertation submitted to The Johns Hopkins University in partial fulfillment of the requirements for the degree of Doctor of Philosophy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jenkins, J.T. A theory of magnetic fluids. Arch. Rational Mech. Anal. 46, 42–60 (1972). https://doi.org/10.1007/BF00251867

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00251867

Keywords

Search

Navigation