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Non-Newtonian flow characteristics in a steady two-dimensional flow

Published online by Cambridge University Press:  12 April 2006

Thomas B. Gatski  and
John L. Lumley
Thomas B. Gatski
Affiliation:
Department of Aerospace Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802 Permanent address: NASA Research Center, Hampton, Virginia 23665.
John L. Lumley
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853
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Abstract

The two-dimensional steady flow of a non-Newtonian fluid (a dilute polymer solution) is examined. The flow domain is composed of a parallel-walled inflow region, a contraction region in which the walls are rectangular hyperbolae, and a parallel-walled outflow region. The problem is formulated in terms of the vorticity, stream function and appropriate rheological equation of state, i.e. an Oldroyd-type constitutive equation (with no shear-thinning) for the total shear and normal-stress components. Computational results from the numerical solution of the equations are presented. In particular, the molecular extension and pressure distribution along the centre-line are presented as well as contour plots of the different flow variables. The alignment of the molecules with the principal axes of strain rate is shown by a qualitative comparison of the streamwise normal-stress contours with contours of the eigenvalues of the strain-rate matrix.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 86 , Issue 4 , 28 June 1978 , pp. 623 - 639
Copyright
© 1978 Cambridge University Press

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