Throughflow and quadratic drag effects on the onset of convection in a Forchheimer-extended Darcy porous medium layer saturated by a nanofluid

Dhananjay Yadav; Jinho Lee; Hyung Hee Cho

doi:10.1007/s40430-016-0505-y

Throughflow and quadratic drag effects on the onset of convection in a Forchheimer-extended Darcy porous medium layer saturated by a nanofluid

Dhananjay Yadav, Jinho Lee, Hyung Hee Cho

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

In this paper, thermal instability in a horizontal nanofluid-saturated porous layer with vertical through flow and quadratic drag is investigated. The important effects of Brownian motion and thermophoresis are included in the model of nanofluid, while for porous medium the modified Forchheimer-extended Darcy model is employed. The criterion for both stationary and oscillatory convection is derived analytically with and without through flow and quadratic drag effects. It is found that oscillatory convection is possible only for the case of a bottom-heavy nanoparticle distribution.

Original language	English
Pages (from-to)	2299-2309
Number of pages	11
Journal	Journal of the Brazilian Society of Mechanical Sciences and Engineering
Volume	38
Issue number	8
DOIs	https://doi.org/10.1007/s40430-016-0505-y
Publication status	Published - 2016 Dec 1

Bibliographical note

Funding Information:
This work was supported by the Yonsei University Research Fund of 2014–2015 and the Human Resources Development program (No. 20144030200560) of Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by Korea Government Ministry of Trade.

Publisher Copyright:
© 2016, The Brazilian Society of Mechanical Sciences and Engineering.

All Science Journal Classification (ASJC) codes

Mechanical Engineering

Access to Document

10.1007/s40430-016-0505-y

Cite this

@article{a5c090bc955f412886e09333dabfc5ba,

title = "Throughflow and quadratic drag effects on the onset of convection in a Forchheimer-extended Darcy porous medium layer saturated by a nanofluid",

abstract = "In this paper, thermal instability in a horizontal nanofluid-saturated porous layer with vertical through flow and quadratic drag is investigated. The important effects of Brownian motion and thermophoresis are included in the model of nanofluid, while for porous medium the modified Forchheimer-extended Darcy model is employed. The criterion for both stationary and oscillatory convection is derived analytically with and without through flow and quadratic drag effects. It is found that oscillatory convection is possible only for the case of a bottom-heavy nanoparticle distribution.",

author = "Dhananjay Yadav and Jinho Lee and Cho, {Hyung Hee}",

note = "Funding Information: This work was supported by the Yonsei University Research Fund of 2014–2015 and the Human Resources Development program (No. 20144030200560) of Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by Korea Government Ministry of Trade. Publisher Copyright: {\textcopyright} 2016, The Brazilian Society of Mechanical Sciences and Engineering.",

year = "2016",

month = dec,

day = "1",

doi = "10.1007/s40430-016-0505-y",

language = "English",

volume = "38",

pages = "2299--2309",

journal = "Journal of the Brazilian Society of Mechanical Sciences and Engineering",

issn = "1678-5878",

publisher = "Brazilian Society of Mechanical Sciences and Engineering",

number = "8",

}

Throughflow and quadratic drag effects on the onset of convection in a Forchheimer-extended Darcy porous medium layer saturated by a nanofluid. / Yadav, Dhananjay; Lee, Jinho ; Cho, Hyung Hee.

In: Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 38, No. 8, 01.12.2016, p. 2299-2309.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - Throughflow and quadratic drag effects on the onset of convection in a Forchheimer-extended Darcy porous medium layer saturated by a nanofluid

AU - Yadav, Dhananjay

AU - Lee, Jinho

AU - Cho, Hyung Hee

N1 - Funding Information: This work was supported by the Yonsei University Research Fund of 2014–2015 and the Human Resources Development program (No. 20144030200560) of Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by Korea Government Ministry of Trade. Publisher Copyright: © 2016, The Brazilian Society of Mechanical Sciences and Engineering.

PY - 2016/12/1

Y1 - 2016/12/1

N2 - In this paper, thermal instability in a horizontal nanofluid-saturated porous layer with vertical through flow and quadratic drag is investigated. The important effects of Brownian motion and thermophoresis are included in the model of nanofluid, while for porous medium the modified Forchheimer-extended Darcy model is employed. The criterion for both stationary and oscillatory convection is derived analytically with and without through flow and quadratic drag effects. It is found that oscillatory convection is possible only for the case of a bottom-heavy nanoparticle distribution.

AB - In this paper, thermal instability in a horizontal nanofluid-saturated porous layer with vertical through flow and quadratic drag is investigated. The important effects of Brownian motion and thermophoresis are included in the model of nanofluid, while for porous medium the modified Forchheimer-extended Darcy model is employed. The criterion for both stationary and oscillatory convection is derived analytically with and without through flow and quadratic drag effects. It is found that oscillatory convection is possible only for the case of a bottom-heavy nanoparticle distribution.

UR - http://www.scopus.com/inward/record.url?scp=84994706950&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84994706950&partnerID=8YFLogxK

U2 - 10.1007/s40430-016-0505-y

DO - 10.1007/s40430-016-0505-y

M3 - Article

AN - SCOPUS:84994706950

VL - 38

SP - 2299

EP - 2309

JO - Journal of the Brazilian Society of Mechanical Sciences and Engineering

JF - Journal of the Brazilian Society of Mechanical Sciences and Engineering

SN - 1678-5878

IS - 8

ER -

Throughflow and quadratic drag effects on the onset of convection in a Forchheimer-extended Darcy porous medium layer saturated by a nanofluid

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this