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On die swell: some theoretical results
Journal of Non-Newtonian Fluid Mechanics, 5 (1979) 267 0 Elsevier Scientific Publishing Company, Amsterdam - Printed in the Netherlands
ON DIE SWELL: SOME THEORETICAL
267
RESULTS *. **
J.R.A. PEARSON and R. TRO’ITNOW
Department of Chemical Engineering and Chemical Technology, Imperial College, London (Gt. Britain)
summary Tanner’s (1970) theory for capillary die swell is amended, taking account of a suggestion of Graessley, Glassock and Crawley (1970). The calculations for a Maxwell fluid show no significant changes in predictions. The calculations are also carried out for a long annular die, the results being new. An alternative theory based on affine recovery from entry flow for short capillaries is developed. Surprisingly for spherically symmetric sink flow, the predictions are barely distinguishable from the Tanner, or modified Tanner, theories. Comparison with experiment and further discussion are given in a companion paper.
* Presented at the IUTAM Symposium on Non-Newtonian Fluid Mechanics, Louvainla-Neuve, Belgium, 28 August-l September, 1978. ** Full paper published in J. Non-Newtonian Fluid Mech., 4 (1978) 195-215.
ON DIE SWELL: SOME THEORETICAL
267
RESULTS *. **
J.R.A. PEARSON and R. TRO’ITNOW
Department of Chemical Engineering and Chemical Technology, Imperial College, London (Gt. Britain)
summary Tanner’s (1970) theory for capillary die swell is amended, taking account of a suggestion of Graessley, Glassock and Crawley (1970). The calculations for a Maxwell fluid show no significant changes in predictions. The calculations are also carried out for a long annular die, the results being new. An alternative theory based on affine recovery from entry flow for short capillaries is developed. Surprisingly for spherically symmetric sink flow, the predictions are barely distinguishable from the Tanner, or modified Tanner, theories. Comparison with experiment and further discussion are given in a companion paper.
* Presented at the IUTAM Symposium on Non-Newtonian Fluid Mechanics, Louvainla-Neuve, Belgium, 28 August-l September, 1978. ** Full paper published in J. Non-Newtonian Fluid Mech., 4 (1978) 195-215.