It is a common practice to use ideal thermal boundary conditions to investigate natural convection. These correspond to very good conducting walls and to very bad conducting walls. In particular, this has been the case in natural convection of viscoelastic fluids. In this paper, these conditions are generalized by taking into account the finite thermal conductivities and thicknesses of the walls in the natural convection of a viscoelastic Jeffreys fluid heated from below. The goal is to present more realistic results related to experimental conditions. The critical Rayleigh number Rc, the frequency of oscillation ωc, and the wavenumber kc have been plotted varying the properties of the walls from the case of very good thermal conductivity to very poor thermal conductivity. In order to understand the convective phenomena, two parameters are fixed and the other one varied among the nondimensional relaxation time F, the relative retardation time E, and the Prandtl number Pr of the viscoelastic fluid. The role of the relative retardation time E on the thermal instability is discussed in detail.
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December 2018
This article was originally published in
Journal of Heat Transfer
Research-Article
Effect of Thermal Conductivity and Thickness of the Walls on the Natural Convection in a Horizontal Viscoelastic Jeffreys Fluid Layer
Ildebrando Pérez-Reyes,
Ildebrando Pérez-Reyes
Facultad de Ciencias Químicas,
Universidad Autónoma de Chihuahua,
Nuevo Campus Universitario,
Circuito Universitario S/N,
Chihuahua, 31125, México
e-mail: ildebrando3@gmail.com
Universidad Autónoma de Chihuahua,
Nuevo Campus Universitario,
Circuito Universitario S/N,
Chihuahua, 31125, México
e-mail: ildebrando3@gmail.com
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Luis Antonio Dávalos-Orozco
Luis Antonio Dávalos-Orozco
Departamento de Polímeros,
Instituto de Investigaciones en Materiales,
Universidad Nacional Autónoma de México,
Ciudad Universitaria,
Circuito Exterior S/N, Delegación Coyoacán,
México D. F. 04510, México
e-mail: ldavalos@unam.mx
Instituto de Investigaciones en Materiales,
Universidad Nacional Autónoma de México,
Ciudad Universitaria,
Circuito Exterior S/N, Delegación Coyoacán,
México D. F. 04510, México
e-mail: ldavalos@unam.mx
Search for other works by this author on:
Ildebrando Pérez-Reyes
Facultad de Ciencias Químicas,
Universidad Autónoma de Chihuahua,
Nuevo Campus Universitario,
Circuito Universitario S/N,
Chihuahua, 31125, México
e-mail: ildebrando3@gmail.com
Universidad Autónoma de Chihuahua,
Nuevo Campus Universitario,
Circuito Universitario S/N,
Chihuahua, 31125, México
e-mail: ildebrando3@gmail.com
Luis Antonio Dávalos-Orozco
Departamento de Polímeros,
Instituto de Investigaciones en Materiales,
Universidad Nacional Autónoma de México,
Ciudad Universitaria,
Circuito Exterior S/N, Delegación Coyoacán,
México D. F. 04510, México
e-mail: ldavalos@unam.mx
Instituto de Investigaciones en Materiales,
Universidad Nacional Autónoma de México,
Ciudad Universitaria,
Circuito Exterior S/N, Delegación Coyoacán,
México D. F. 04510, México
e-mail: ldavalos@unam.mx
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received December 17, 2017; final manuscript received July 24, 2018; published online August 28, 2018. Assoc. Editor: Zhixiong Guo.
J. Heat Transfer. Dec 2018, 140(12): 122501 (9 pages)
Published Online: August 28, 2018
Article history
Received:
December 17, 2017
Revised:
July 24, 2018
Citation
Pérez-Reyes, I., and Dávalos-Orozco, L. A. (August 28, 2018). "Effect of Thermal Conductivity and Thickness of the Walls on the Natural Convection in a Horizontal Viscoelastic Jeffreys Fluid Layer." ASME. J. Heat Transfer. December 2018; 140(12): 122501. https://doi.org/10.1115/1.4041048
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