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A Solution of the Graetz Problem in Tubes of Arbitrary Cross-Section Shape for Viscoelastic Fluids

[+] Author Affiliations
Cristian Barrera H., Mario F. Letelier

University of Santiago of Chile, Santiago, Chile

Dennis A. Siginer

University of Santiago of Chile, Santiago, ChileBotswana International University of Science and Technology, Botswana

Paper No. IMECE2014-36245, pp. V007T09A032; 8 pages
  • ASME 2014 International Mechanical Engineering Congress and Exposition
  • Volume 7: Fluids Engineering Systems and Technologies
  • Montreal, Quebec, Canada, November 14–20, 2014
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4954-5
  • Copyright © 2014 by ASME


The Graetz problem is addressed for the case of steady laminar flow of non-Newtonian fluids obeying the Modified Phan-Thien-Tanner Model (MPTT) in tubes of arbitrary cross-section. The method herein presented models the velocity and temperature fields so that the corresponding non-slip and thermal boundary conditions are met at the walls of the tube for a wide range of different shapes. The main results are the general temperature distribution for different duct geometries that include the triangular and square cases as particular examples.

Copyright © 2014 by ASME



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