Abstract
A numerical solution is presented for the helical flow of a power-law fluid between coaxial cylinders. The solution is valid for isothermal steady creeping flow in an annular space of arbitrary thickness. Results are presented in the form of relations between dimensionless integral flow characteristics (e.g. pressure difference, volumetric flow rate and torque acting on the inner cylinder). Resulting graphs are valid for arbitrary radii ratio and have the flow behaviour index as a parameter. Modified rotational rheometer with coaxial cylinders was used for experimental verification of numerical solution. System of coaxial cylinders having the radii ratio 0.805 was used in experiments. Used model power-law fluids had the flow behaviour index in the range 0.35-1.0. The agreement between theoretical and experimental values of dimensionless pressure difference was found satisfactory. Experimental values of dimensionless torque were about 20% higher than values calculated for corresponding flowrate and rotational speed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bird,R.B., Armstrong,R.C. and Hassager,O.,Enhancement of Axial Annular Flow by Rotating Inner Annulus,Dynamics of Polymeric Liquids,Vol.I. Fluid Mechanics,Wiley,New York, 1977,226–229
Coleman,B.D. and Noll,W.,Helical Flow of General Fluids, Journal of Applied Physics,1959,30,1508–1512
Dierckes,A.C. and Schowalter,W.R.,Helical Flow of a Non-Newtonian Polyisobutylene Solution,Industrial and Engineering Chemistry Fundamentals, 1966,5, 263–271
Rea,D.R. and Schowalter,W.R.,Velocity Profiles of a Non-Newtonian Fluid in Helical Flow,Transactions of the Society of Rheology,1967,11,125–143
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Elsevier Science Publishers Ltd
About this chapter
Cite this chapter
Sestak, J., Houska, M., Zitny, R., Dostal, M. (1990). Helical Flow of Power-Law Fluids. In: Oliver, D.R. (eds) Third European Rheology Conference and Golden Jubilee Meeting of the British Society of Rheology. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0781-2_148
Download citation
DOI: https://doi.org/10.1007/978-94-009-0781-2_148
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6838-3
Online ISBN: 978-94-009-0781-2
eBook Packages: Springer Book Archive