By John M. Wiest (auth.), J. F. Dijksman, G. D. C. Kuiken (eds.)

ISBN-10: 9401040869

ISBN-13: 9789401040860

ISBN-10: 9401101914

ISBN-13: 9789401101912

During the final a long time a substantial attempt has been made at the computation of the isothermal circulation of viscoelastic fluids. actually the actions concerning this actual box of non-Newtonian fluid mechanics have enthusiastic about the subsequent questions: which sort of constitutive equation describes non-Newtonian fluid behaviour; easy methods to degree fluid parameters; and what form of computational scheme results in trustworthy, good and low cost computing device courses. in the course of the related interval, average non-Newtonian fluid phenomena were experimentally tested, akin to the circulation via a `four-to-one' contraction, the stream round a sphere or separation movement, delivering clean demanding situations for numerical modellers. except momentum delivery, notwithstanding, fluid move is strongly prompted by means of warmth treansport in so much actual commercial operations within which non-Newtonian fluids are processed.
The IUTAM Symposium on `Numerical Simulation of Nonisothermal circulation of Viscoelastic drinks' held at Rolduc Abbey in Kerkrade, the Netherlands, November 1--3, 1993, was once organised to watch the situation in regard to the impact of nonisothermal results at the circulate of a viscoelastic liquid.
the current selection of papers provides an outline of what has been completed to this point. it's a milestone within the speedily rising and intriguing new box in non-Newtonian fluid mechanics.

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Extra info for IUTAM Symposium on Numerical Simulation of Non-Isothermal Flow of Viscoelastic Liquids: Proceedings of an IUTAM Symposium held in Kerkrade, The Netherlands, 1–3 November 1993

Example text

Heat Flux The heat flux vector in equation (4) has to be specified by a constitutive equation. A widely used constitutive equation is Fourier's law, which has the general form (11) where the heat conduction tensor ~ can be a function of temperature and the internal deformation tensor. In this article-we assume that it only depends on the internal deformation tensor. Mostly an isotropic heat conduction is assumed. Measurements of the heat conductivity by Hands (1980) and Washo & Hansen (1969), however, show that the increase in the direction of the orientation, and a corresponding decrease in the directions perpendicular to it, can be considerable.

41 . 2,k ~~ _. - -4'3K ------ 413K --42" ""'. ' /.. J 10'5 10" 10" 10" 10" 100 10' 10' 10" 10" 10" 10" 100 10' 10' 1

T, and VT where Be. is a shorthand notation for the elastic strain tensor < constitutive quantities of interest are: u,q,u and s (36) fiJii >. The (37) The Entropy Inequality The principle of equipresence states that any of these quantities is a function of all independent state variables, unless proven otherwise: The Helmholtz free energy u = u(p, L, Be. , T, VT) (38) q if(p, L, Be. , T, VT) (39) u u(p, L, Be. M PETERS af. of· ~ ( of) c . of· af ~. ':>p+ "'L: L+ LJ "'B. : Be. + "'TT+ -~_. \JT+Ts up U i U e.

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IUTAM Symposium on Numerical Simulation of Non-Isothermal Flow of Viscoelastic Liquids: Proceedings of an IUTAM Symposium held in Kerkrade, The Netherlands, 1–3 November 1993 by John M. Wiest (auth.), J. F. Dijksman, G. D. C. Kuiken (eds.)


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