ANALYSIS OF SECONDARY FLOWS AND HEAT TRANSFER IN VISCOELASTIC FLOW WITH VISCOUS DISSIPATION IN NON-CIRCULAR TUBES

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Author list: Letelier MF, Zapata FN, Siginer DA, Stockle J

Publisher: AMER SOC MECHANICAL ENGINEERS

Place: NEW YORK

Publication year: 2013

Start page: 1017

End page: 1021

Number of pages: 5

ISBN: 978-0-7918-4523-3

Languages: English-Great Britain (EN-GB)

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Abstract

The steady laminar non-isothermal flow of a non-linear viscoelastic fluid in tubes or arbitrary contour is analyzed under constant wall heat flux. Viscous dissipation is taken into account. Non-linear viscoelastic behavior is modeled by means of the Phan-Thien-Tanner model. The equations of motion and energy are solved analytically through a perturbation approach coupled with a one-to-one mapping of the boundary to map the circular shape into various axially symmetric cross-sectional shapes with the Weissenberg number as the perturbation parameter Longitudinal and transversal velocity components are determined for several cross-sectional shapes, for which the temperature field and the Nusselt number variation with the Prandtl, Brinkman and Reynolds numbers are computed.

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