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Contribution to the solution of the Couette inverse problem for Herschel-Bulkley fluids by means of the integration method



Title: Contribution to the solution of the Couette inverse problem for Herschel-Bulkley fluids by means of the integration method
Paper category : conference
Book title: 2nd International RILEM Symposium on Advances in Concrete through Science and Engineering
Editor(s): J. Marchand, B. Bissonnette, R. Gagné, M. Jolin and F. Paradis
Print-ISBN: 2-35158-003-6
e-ISBN: 2351580028
Publisher: RILEM Publications SARL
Publication year: 2006
Nb references: 15
Language: English


Abstract: For Belgian SCC mixes, based on the powder-type philosophy of SCC mix design, a Herschel-Bulkley (HB) behaviour of the fresh SCC mixes is quite often observed.
A longstanding problem in rheometry is the so-called “Couette inverse problem”, in which one tries to derive the flow curve from the torque measurements T(N) in a (wide-gap) coaxial cylinder (Couette) rheometer, where T represents the torque registered at the inner, stationary, cylinder and N is the rotational velocity of the outer, rotating, cylinder.
In this paper, the integration method is studied in order to find out if an analytical equation can be found for converting T(N) into . For a Bingham fluid, this conversion equation is known as the “Reiner-Riwlin” equation.
In the first part of the paper, the underlying physics and the derivation of the Reiner-Riwlin equation are given by means of introduction for the Herschel-Bulkley fluid. In the second part of the paper, the mathematical consequences of the derivation of the governing conversion equation for Herschel-Bulkley fluids are described.
Keywords: Rheology, self-compacting concrete, Couette inverse problem, Bingham fluid, Herschel-Bulkley fluid.


Online publication: 2006-08-02
Classification: 3.2 Theme 2: From Fresh to Hardened Concrete
Publication type : full_text
Public price (Euros): 0.00
doi: 10.1617/2351580028.063