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Flows of Generalized Oldroyd-B Fluids in Curved Pipes

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Parabolic Problems

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 80))

Abstract

The aim of this work is to present a numerical study of generalized Oldroyd-B flows with shear-thinning viscosity in a curved pipe of circular cross section and arbitrary curvature ratio. Flows are driven by a given pressure gradient and behavior of the solutions is discussed with respect to different rheologic and geometric flow parameters.

Mathematics Subject Classification (2000). Primary 76A05; Secondary 74S05.

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Author information

Authors and Affiliations

  1. Centro de Investigação em Matemática e Aplicações, Universidade de Évora, Rua Romão Ramalho, 7000-671, Évora, Portugal

    Marília Pires

  2. Centro de Matemática e Aplicações, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001, Lisboa, Portugal

    Adélia Sequeira

Authors
  1. Marília Pires
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  2. Adélia Sequeira
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Corresponding author

Correspondence to Marília Pires .

Editor information

Editors and Affiliations

  1. Inst. Angewandte Mathematik, Leibniz Universität Hannover, Welfengarten 1, Hannover, 30167, Germany

    Joachim Escher

  2. School of Physical Sciences, Dept. Mathematics, University of California, Irvine, Irvine, 92697-3875, California, USA

    Patrick Guidotti

  3. , Fachbereich Mathematik, TU Darmstadt, Schlossgartenstr 7, Darmstadt, 64289, Germany

    Matthias Hieber

  4. Inst. Applied Mathematics & Mechanics, Warsaw University, ul. Banacha 2, Warszawa, 02-097, Poland

    Piotr Mucha

  5. , FB Mathematik und Informatik, Universität Halle-Wittenberg, Theodor-Lieser-Strasse 5, Halle, 06099, Germany

    Jan W. Prüss

  6. 3-4-1, Ohkubo Shinjuku-ku, Tokyo, 169-8555, Japan

    Yoshihiro Shibata

  7. , Deparment of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, TN 37240, USA

    Gieri Simonett

  8. Inst. Angewandte Mathematik, Leibniz Universität Hannover, Welfengarten 1, Hannover, 30167, Germany

    Christoph Walker

  9. Fac. Mathematics & Information Sciences, Warsaw University of Technology, pl. Politechniki 1, Warszawa, 00-661, Poland

    Wojciech Zajaczkowski

Additional information

Dedicated to Prof. Herbert Amann on the occasion of his 70th birthday

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Pires, M., Sequeira, A. (2011). Flows of Generalized Oldroyd-B Fluids in Curved Pipes. In: Escher, J., et al. Parabolic Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 80. Springer, Basel. https://doi.org/10.1007/978-3-0348-0075-4_2

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