Natural convection with non-Newtonian shear-thinning power law fluids in inclined two dimensional rectangular cavities

Lyes Khezzar, Dennis Siginer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Steady two-dimensional natural convection in rectangular cavities has been investigated numerically. The conservation equations of mass, momentum and energy under the assumption of a Newtonian Boussinesq fluid have been solved using the finite volume technique embedded in the Fluent code for a Newtonian (water) and three non Newtonian carbopol fluids. The highly accurate Quick differential scheme was used for discretization. The computations were performed for one Rayleigh number, based on cavity height, of 105 and a Prandtl number of 10 and 700, 6,000 and 1.2×104 for the Newtonian and the three non-Newtonian fluids respectively. In all of the numerical experiments, the channel is heated from below and cooled from the top with insulated side-walls and the inclination angle is varied. The simulations have been carried out for one aspect ratio of 6. Comparison between the Newtonian and the nonNewtonian cases is conducted based on the behaviour of the average Nusselt number with angle of inclination. Both Newtonian and non-Newtonian fluids exhibit similar behavior with a sudden drop around an angle of 50° associated with flow mode transition from multi-cell to single-cell mode.

Original languageEnglish
Title of host publicationProceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages141-145
Number of pages5
Volume9
EditionPART A
ISBN (Print)9780791843826
DOIs
Publication statusPublished - Jan 1 2010
EventASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009 - Lake Buena Vista, FL, United States
Duration: Nov 13 2009Nov 19 2009

Other

OtherASME 2009 International Mechanical Engineering Congress and Exposition, IMECE2009
CountryUnited States
CityLake Buena Vista, FL
Period11/13/0911/19/09

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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    Khezzar, L., & Siginer, D. (2010). Natural convection with non-Newtonian shear-thinning power law fluids in inclined two dimensional rectangular cavities. In Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2009, IMECE 2009 (PART A ed., Vol. 9, pp. 141-145). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2009-12748