Onset of Convection in a Porous Medium Layer Saturated With an Oldroyd-B Nanofluid-Reference-Cited by-同舟云学术

Onset of Convection in a Porous Medium Layer Saturated With an Oldroyd-B Nanofluid

Published:2016-09-13 Issue:1 Volume:139 Page:
ISSN:0022-1481
Container-title:Journal of Heat Transfer
language:en
Short-container-title:

Author:

Umavathi J. C.¹,Prathap Kumar J.²

Affiliation:

1. Department of Engineering, University of Sannio, Piazza Roma 21, Benevento 82100, Italy e-mail:

2. Department of Mathematics, Gulbarga University, Gulbarga 585 106, Karnataka, India e-mail:

Abstract

A linear and nonlinear stability analysis of a viscoelastic fluid in a porous medium layer saturated by a nanofluid with thermal conductivity and viscosity dependent on the nanoparticle volume fraction is studied. To simulate the momentum equation in porous media, a modified Darcy model has been used. To describe the rheological behavior of viscoelastic nanofluids, an Oldroyd-B type constitutive equation has been used. The onset criterion for stationary and oscillatory convection is derived analytically. The nonlinear theory based on the truncated representation of Fourier series method is used to find the transient heat and mass transfer.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Link

http://asmedigitalcollection.asme.org/heattransfer/article-pdf/doi/10.1115/1.4033698/6214644/ht_139_01_012401.pdf

Reference33 articles.

1. A Review of Forced Convection Heat Transfer Enhancement and Hydrodynamic Characteristics of a Nanofluid;Renewable Sustainable Energy Rev.,2014

2. Forced Convective Heat Transfer of Nanofluids—A Review of the Recent Literature;Curr. Nanosci.,2012

3. Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid;Int. J. Heat Mass Transfer,2009

4. Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid: Brinkman Model;Transp. Porous Media,2010

5. Effect of Local Thermal Non-Equilibrium on the Onset of Convection in a Porous Medium Layer Saturated by a Nanofluid;Transp. Porous Media,2010

Cited by 22 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Hydromagnetic Thermosolutal Instability of an Oldroyd Nanofluid in a Porous Medium;Journal of Nanofluids;2024-06-01

2. Influence of variable viscosity and double di®usion on the convective stability of a nanofluid flow in an inclined porous channel;Applied Mathematics and Mechanics;2024-03

3. The stability of the nanofluid flow in an inclined porous channel with variable viscosity;Numerical Heat Transfer, Part A: Applications;2023-09-01

4. Study of multilayer flow of two immiscible nanofluids in a duct with viscous dissipation;Physics of Fluids;2023-09-01

5. Oscillatory Modes on the Onset of Electrohydrodynamic Instability in Oldroydian Nanofluid Saturated Anisotropic Porous Layer;Journal of Nanofluids;2023-08-01