THERMAL SCIENCE

International Scientific Journal

Nabila Labsi

,

Youb Khaled Benkahla

,

M'barek Feddaoui

,

Abdelkader Boutra

VISCOUS DISSIPATION EFFECT ON THE FLOW OF A THERMODEPENDENT HERSCHEL-BULKLEY FLUID

ABSTRACT
The present study concerns the numerical analysis of both hydrodynamic and thermal properties of a Herschel-Bulkley fluid flow in a pipe. The flow, which involves forced heat transfer convection, is steady and takes place within a pipe of circular cross section with uniform wall temperature. The Herschel-Bulkley model with the Papanastasiou regularization is used and flow index values of 1 and 1.5 are considered. The study focuses on the effect of neglecting both viscous dissipation and temperature dependence of the fluid consistency on its hydrodynamic and thermal properties. For that purpose, we investigate both wall heating (Br<0) and wall cooling (Br>0) as well as the exponential temperature dependence of the consistency. The results show that neglecting both of these parameters results in more than a 50% underestimation of the heat transfer due to the viscous nature of this kind of fluid.
KEYWORDS
Herschel-Bulkley fluid, circular pipe, uniform wall temperature, finite volume method, viscous dissipation, temperature dependent consistency
PAPER SUBMITTED: 2012-11-06
PAPER REVISED: 2013-04-10
PAPER ACCEPTED: 2013-04-27
PUBLISHED ONLINE: 2013-06-16
DOI REFERENCE: https://doi.org/10.2298/TSCI121106080L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE Issue 5, PAGES [1553 - 1564]
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Viscous dissipation effect on the flow of a thermodependent Herschel-Bulkley fluid

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