Skip to main content
Log in

Diffusion of a fluid through an anisotropic thick spherical shell

  • Contributed Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

The problem of radial diffusion of a fluid through a transversely isotropic non-linearly elastic thick spherical shell is studied. The anisotropic shell is also pre-stretched radially. The non-linear equations governing the diffusion through the shell are solved numerically. The effects of the anisotropy of the material and the pre-stretching on the process of diffusion are studied.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Shi, J. J., Rajagopal, K. R., Wineman, A. S.: Applications of the theory of interacting continua to the diffusion of a fluid through a non-linear elastic medium. Int. J. Engrg Sci.9, 871–889 (1981).

    Google Scholar 

  2. Rajagopal, K. R., Shi, J. J., Wineman, A. S.: The diffusion of a fluid through a highly elastic spherical membrane. Int. J. Engrg Sci.21, 1171–1183 (1983).

    Google Scholar 

  3. Gandhi, M., Rajagopal, K. R., Wineman, A. S.: Some nonlinear diffusion problems within the context of the theory of interacting continua. Int. J. Engrg Sci.25, 1441–1457 (1987).

    Google Scholar 

  4. Dai, F., Rajagopal, K. R., Wineman, A. S.: Diffusion through non-linear orthotropic cylinders Int. J. Engrg. Sic. (in press, 1990).

  5. Dai, F., Rajagopal, K. R.: Diffusion of fluids through transversely isotropic solids. Acta Mech.82, 61–98 (1990).

    Google Scholar 

  6. Rajagopal, K. R., Wineman, A. S., Gandhi, M.: On boundary conditions for a certain class of problems in mixture theory. Int. J. Engrg Sci.24, 1453–1463 (1986).

    Google Scholar 

  7. Paul, D. R., Ebra-Lima, O. M.: Pressure-induced diffusion of an organic liquid through a highly swollen polymer membrane. J. Appl. Polymer Sci.14, 2201–2224 (1970).

    Google Scholar 

  8. Mills, N.: Incompressible mixtures of Newtonian fluid. Int. J. Engrg. Sci.4, 97–112 (1966).

    Google Scholar 

  9. Dai, F.: Diffusion of fluids through anisotropic solids. Ph. D. Dissertation, University of Pittsburgh, 1989.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dai, F., Rajagopal, K.R. Diffusion of a fluid through an anisotropic thick spherical shell. Acta Mechanica 85, 79–97 (1990). https://doi.org/10.1007/BF01213544

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01213544

Keywords

Navigation