Natural convection of viscoelastic liquids

D. A. Siginer, A. Valenzuela-Rendon

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

6 Citations (Scopus)

Abstract

Two dimensional natural convection of a nonlinear fluid of the differential type, in an inclined cavity of arbitrary aspect ratio is solved by a regular perturbation for small Grashof numbers. We show that the series are asymptotic in character. Non-Newtonian effects appear at the third order of the analysis even though the Giesekus-Tanner theorem is not valid. The relative contributions of the elastic and shear rate dependent viscosity characteristics of the liquid to the non-Newtonian behavior are investigated through a parametric study, together with the dependence of the Nusselt number on the nonlinear properties of the fluid. The effects of the aspect ratio and the inclination of the enclosure on the flow field and the heat transfer coefficient are also investigated. An interesting instability of the fluid of grade three triggered by elastic effects is discussed together with the implications concerning heat transfer characteristics.

Original languageEnglish
Title of host publicationNumerical Methods for Non-Newtonian Fluid Dynamics
PublisherPubl by ASME
Pages31-39
Number of pages9
Volume179
ISBN (Print)0791813622
Publication statusPublished - 1994
EventProceedings of the 1994 ASME Fluids Engineering Division Summer Meeting. Part 9 (of 18) - Lake Tahoe, NV, USA
Duration: Jun 19 1994Jun 23 1994

Other

OtherProceedings of the 1994 ASME Fluids Engineering Division Summer Meeting. Part 9 (of 18)
CityLake Tahoe, NV, USA
Period6/19/946/23/94

Fingerprint

Natural convection
Fluids
Aspect ratio
Liquids
Grashof number
Nusselt number
Enclosures
Shear deformation
Heat transfer coefficients
Flow fields
Viscosity
Heat transfer

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Siginer, D. A., & Valenzuela-Rendon, A. (1994). Natural convection of viscoelastic liquids. In Numerical Methods for Non-Newtonian Fluid Dynamics (Vol. 179, pp. 31-39). Publ by ASME.
Siginer, D. A. ; Valenzuela-Rendon, A. / Natural convection of viscoelastic liquids. Numerical Methods for Non-Newtonian Fluid Dynamics. Vol. 179 Publ by ASME, 1994. pp. 31-39
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Siginer, DA & Valenzuela-Rendon, A 1994, Natural convection of viscoelastic liquids. in Numerical Methods for Non-Newtonian Fluid Dynamics. vol. 179, Publ by ASME, pp. 31-39, Proceedings of the 1994 ASME Fluids Engineering Division Summer Meeting. Part 9 (of 18), Lake Tahoe, NV, USA, 6/19/94.

Natural convection of viscoelastic liquids. / Siginer, D. A.; Valenzuela-Rendon, A.

Numerical Methods for Non-Newtonian Fluid Dynamics. Vol. 179 Publ by ASME, 1994. p. 31-39.

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

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AB - Two dimensional natural convection of a nonlinear fluid of the differential type, in an inclined cavity of arbitrary aspect ratio is solved by a regular perturbation for small Grashof numbers. We show that the series are asymptotic in character. Non-Newtonian effects appear at the third order of the analysis even though the Giesekus-Tanner theorem is not valid. The relative contributions of the elastic and shear rate dependent viscosity characteristics of the liquid to the non-Newtonian behavior are investigated through a parametric study, together with the dependence of the Nusselt number on the nonlinear properties of the fluid. The effects of the aspect ratio and the inclination of the enclosure on the flow field and the heat transfer coefficient are also investigated. An interesting instability of the fluid of grade three triggered by elastic effects is discussed together with the implications concerning heat transfer characteristics.

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Siginer DA, Valenzuela-Rendon A. Natural convection of viscoelastic liquids. In Numerical Methods for Non-Newtonian Fluid Dynamics. Vol. 179. Publ by ASME. 1994. p. 31-39