A SOLUTION OF THE GRAETZ PROBLEM IN TUBES OF ARBITRARY CROSS-SECTION SHAPE FOR VISCOELASTIC FLUIDS

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Author list: Barrera HC, Letelier MF, Siginer DA

Publisher: AMER SOC MECHANICAL ENGINEERS

Place: NEW YORK

Publication year: 2015

Number of pages: 8

ISBN: 978-0-7918-4954-5

Languages: English-Great Britain (EN-GB)

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Abstract

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.

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