Skip to main content

Abstract

The purpose of this paper is to calculate the shape of the top free surface of a non-Newtonian, liquid which is contained between axially rotating cylinders which have a common vertical axis. We shall consider the case in which the outer cylinder is stationary and the inner cylinder rotates with an angular velocity Ω. This is the flow situation described by Weissenberg (Nature 159, 310, 1947) and for most non-Newtonian liquids, on rotation, the liquid rises near the inner cylinder and falls near the outer. This effect is now generally known as the Weissenberg effect. Inertial forces alone would, of course, produce a fall at the inner and a rise at the outer cylinder.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Kaye, A. (1975). The shape of a liquid surface between rotating concentric cylinders. In: Vallet, G., Meskat, W. (eds) Rheological Theories · Measuring Techniques in Rheology Test Methods in Rheology · Fractures Rheological Properties of Materials · Rheo-Optics · Biorheology. Steinkopff, Heidelberg. https://doi.org/10.1007/978-3-662-41458-3_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-41458-3_22

  • Publisher Name: Steinkopff, Heidelberg

  • Print ISBN: 978-3-7985-0424-0

  • Online ISBN: 978-3-662-41458-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics