Heat transfer of non-newtonian dilatant power law fluids in square and rectangular cavities

I. Vinogradov, L. Khezzar, D. Siginer

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Steady two-dimensional natural convection in fluid filled cavities is numerically investigated for the case of non- Newtonian shear thickening power law liquids. The conservation equations of mass, momentum and energy under the assumption of a Newtonian Boussinesq fluid have been solved using the finite volume method for Newtonian and non-Newtonian fluids. The computations were performed for a Rayleigh number, based on cavity height, of 10 5 and a Prandtl number of 100. 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 aspect ratios of 1 and 4. Comparison between the Newtonian and the non-Newtonian cases is conducted based on the dependence of the average Nusselt number on angle of inclination. It is shown that despite significant variation in heat transfer rate both Newtonian and non-Newtonian fluids exhibit similar behavior with the transition from multi-cell flow structure to a single-cell regime.

Original languageEnglish
Pages (from-to)37-42
Number of pages6
JournalJournal of Applied Fluid Mechanics
Volume4
Issue number2
Publication statusPublished - Dec 1 2011

Fingerprint

heat transfer
Heat transfer
cavities
Fluids
Newtonian fluids
fluids
inclination
conservation equations
finite volume method
Prandtl number
Finite volume method
Flow structure
Rayleigh number
Nusselt number
cells
Natural convection
free convection
aspect ratio
Aspect ratio
Conservation

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

@article{96cab79271d14ed09dc9e65d8f7c001b,
title = "Heat transfer of non-newtonian dilatant power law fluids in square and rectangular cavities",
abstract = "Steady two-dimensional natural convection in fluid filled cavities is numerically investigated for the case of non- Newtonian shear thickening power law liquids. The conservation equations of mass, momentum and energy under the assumption of a Newtonian Boussinesq fluid have been solved using the finite volume method for Newtonian and non-Newtonian fluids. The computations were performed for a Rayleigh number, based on cavity height, of 10 5 and a Prandtl number of 100. 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 aspect ratios of 1 and 4. Comparison between the Newtonian and the non-Newtonian cases is conducted based on the dependence of the average Nusselt number on angle of inclination. It is shown that despite significant variation in heat transfer rate both Newtonian and non-Newtonian fluids exhibit similar behavior with the transition from multi-cell flow structure to a single-cell regime.",
author = "I. Vinogradov and L. Khezzar and D. Siginer",
year = "2011",
month = "12",
day = "1",
language = "English",
volume = "4",
pages = "37--42",
journal = "Journal of Applied Fluid Mechanics",
issn = "1735-3572",
publisher = "Isfahan University of Technology",
number = "2",

}

Heat transfer of non-newtonian dilatant power law fluids in square and rectangular cavities. / Vinogradov, I.; Khezzar, L.; Siginer, D.

In: Journal of Applied Fluid Mechanics, Vol. 4, No. 2, 01.12.2011, p. 37-42.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Heat transfer of non-newtonian dilatant power law fluids in square and rectangular cavities

AU - Vinogradov, I.

AU - Khezzar, L.

AU - Siginer, D.

PY - 2011/12/1

Y1 - 2011/12/1

N2 - Steady two-dimensional natural convection in fluid filled cavities is numerically investigated for the case of non- Newtonian shear thickening power law liquids. The conservation equations of mass, momentum and energy under the assumption of a Newtonian Boussinesq fluid have been solved using the finite volume method for Newtonian and non-Newtonian fluids. The computations were performed for a Rayleigh number, based on cavity height, of 10 5 and a Prandtl number of 100. 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 aspect ratios of 1 and 4. Comparison between the Newtonian and the non-Newtonian cases is conducted based on the dependence of the average Nusselt number on angle of inclination. It is shown that despite significant variation in heat transfer rate both Newtonian and non-Newtonian fluids exhibit similar behavior with the transition from multi-cell flow structure to a single-cell regime.

AB - Steady two-dimensional natural convection in fluid filled cavities is numerically investigated for the case of non- Newtonian shear thickening power law liquids. The conservation equations of mass, momentum and energy under the assumption of a Newtonian Boussinesq fluid have been solved using the finite volume method for Newtonian and non-Newtonian fluids. The computations were performed for a Rayleigh number, based on cavity height, of 10 5 and a Prandtl number of 100. 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 aspect ratios of 1 and 4. Comparison between the Newtonian and the non-Newtonian cases is conducted based on the dependence of the average Nusselt number on angle of inclination. It is shown that despite significant variation in heat transfer rate both Newtonian and non-Newtonian fluids exhibit similar behavior with the transition from multi-cell flow structure to a single-cell regime.

UR - http://www.scopus.com/inward/record.url?scp=84857345052&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84857345052&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84857345052

VL - 4

SP - 37

EP - 42

JO - Journal of Applied Fluid Mechanics

JF - Journal of Applied Fluid Mechanics

SN - 1735-3572

IS - 2

ER -