Abstract
The dispersion of a soluble matter in a plastic fluid flowing through a tube and a channel has been analysed by taking into account the variations of viscosity, diffusivity and yield stress. It has been shown that in the special case of a Bingham fluid, surrounded by a peripheral layer of a Newtonian fluid, the effective dispersion coefficient with which the solute disperses across a plane moving with the mean speed of the flow decreases with the viscosity of the peripheral layer fluid but increases as the molecular diffusion coefficient of this layer decreases. Further, the effective dispersion coefficient also decreases as the yield stress of the Bingham fluid increases.
Similar content being viewed by others
References
Cumming, G., J. Crank, K. Horsfield, I. Parker, Resp. Physiol.1, 58 (1966).
Crank, J., G. S. Park, Diffusion in Polymers, Academic Press (London 1968).
Gill, W. N., R. Sankarasubramanian, Proc. Roy. Soc. Lond. A316, 341 (1970).
Gill, W. N., R. Sankarasubramanian, Proc. Roy. Soc. Lond. A322, 101 (1971).
La Force, R. C., B. M. Lewis, J. Appl. Physiol.28, 291 (1970).
Crank, J., The Mathematics of Diffusion, Clarendon (Oxford 1975).
Taylor, G. I., Proc. Roy. Soc. Lond. A219, 186 (1953).
Taylor, G. I., Proc. Roy. Soc. Lond. A223, 446 (1954).
Taylor, G. I., Proc. Roy. Soc. Lond. A225, 473 (1954).
Gupta, P. S., A. S. Gupta, Proc. Roy. Soc. Lond. A330, 59 (1972).
Shukla, J. B., R. S. Parihar, Phys. Fluids23, 1271 (1980).
Fan, L. T., W. S. Hwang, Proc. Roy. Soc. Lond. A283, 576 (1965).
Fan, L. T., C. B. Wang, Proc. Roy. Soc. Lond. A292, 203 (1966).
Ghoshal, S., Chem. Engg. Sci.26, 185 (1971).
Shah, S. N., K. E. Cox, Chem. Engg. Sci.29, 1282 (1974).
Shukla, J. B., R. S. Parihar, B. R. P. Rao, Rheol. Acta18, 740 (1979).
Whitmore, R. L., Rheology of Circulation, Pergamon Press (Oxford 1968).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Shukla, J.B., Gupta, S.P. Dispersion in a Bingham plastic fluid: Effects of peripheral layer. Rheol Acta 21, 713–719 (1982). https://doi.org/10.1007/BF01524515
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01524515