Non-linear Convective Transport in a Binary Nanofluid Saturated Porous Layer

Shilpi Agarwal, Nirmal C. Sacheti, Pallath Chandran, B. S. Bhadauria, Ashok K. Singh

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

In this article, we study double-diffusive convection in a horizontal porous medium saturated by a nanofluid, for the case when the base fluid of the nanofluid is itself a binary fluid such as salty water. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis, while the Darcy model is used for the porous medium. The thermal energy equations include the diffusion and cross-diffusion terms. The linear stability is studied using normal mode technique and for non-linear analysis, a minimal representation of the truncated Fourier series analysis involving only two terms has been used. For linear theory analysis, critical Rayleigh number has been obtained, while non-linear analysis has been done in terms of the Nusselt numbers.

Original languageEnglish
Pages (from-to)29-49
Number of pages21
JournalTransport in Porous Media
Volume93
Issue number1
DOIs
Publication statusPublished - May 2012

Fingerprint

Nonlinear analysis
Porous materials
Thermophoresis
Fluids
Brownian movement
Fourier series
Nusselt number
Thermal energy
Water
Convection

Keywords

  • Binary nanofluid
  • Horton-Roger-Lapwood problem
  • Natural convection
  • Porous medium

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Catalysis

Cite this

Non-linear Convective Transport in a Binary Nanofluid Saturated Porous Layer. / Agarwal, Shilpi; Sacheti, Nirmal C.; Chandran, Pallath; Bhadauria, B. S.; Singh, Ashok K.

In: Transport in Porous Media, Vol. 93, No. 1, 05.2012, p. 29-49.

Research output: Contribution to journalArticle

Agarwal, Shilpi ; Sacheti, Nirmal C. ; Chandran, Pallath ; Bhadauria, B. S. ; Singh, Ashok K. / Non-linear Convective Transport in a Binary Nanofluid Saturated Porous Layer. In: Transport in Porous Media. 2012 ; Vol. 93, No. 1. pp. 29-49.
@article{6d20cae328eb4212a835fe1ee97e63b7,
title = "Non-linear Convective Transport in a Binary Nanofluid Saturated Porous Layer",
abstract = "In this article, we study double-diffusive convection in a horizontal porous medium saturated by a nanofluid, for the case when the base fluid of the nanofluid is itself a binary fluid such as salty water. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis, while the Darcy model is used for the porous medium. The thermal energy equations include the diffusion and cross-diffusion terms. The linear stability is studied using normal mode technique and for non-linear analysis, a minimal representation of the truncated Fourier series analysis involving only two terms has been used. For linear theory analysis, critical Rayleigh number has been obtained, while non-linear analysis has been done in terms of the Nusselt numbers.",
keywords = "Binary nanofluid, Horton-Roger-Lapwood problem, Natural convection, Porous medium",
author = "Shilpi Agarwal and Sacheti, {Nirmal C.} and Pallath Chandran and Bhadauria, {B. S.} and Singh, {Ashok K.}",
year = "2012",
month = "5",
doi = "10.1007/s11242-012-9942-y",
language = "English",
volume = "93",
pages = "29--49",
journal = "Transport in Porous Media",
issn = "0169-3913",
publisher = "Springer Netherlands",
number = "1",

}

TY - JOUR

T1 - Non-linear Convective Transport in a Binary Nanofluid Saturated Porous Layer

AU - Agarwal, Shilpi

AU - Sacheti, Nirmal C.

AU - Chandran, Pallath

AU - Bhadauria, B. S.

AU - Singh, Ashok K.

PY - 2012/5

Y1 - 2012/5

N2 - In this article, we study double-diffusive convection in a horizontal porous medium saturated by a nanofluid, for the case when the base fluid of the nanofluid is itself a binary fluid such as salty water. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis, while the Darcy model is used for the porous medium. The thermal energy equations include the diffusion and cross-diffusion terms. The linear stability is studied using normal mode technique and for non-linear analysis, a minimal representation of the truncated Fourier series analysis involving only two terms has been used. For linear theory analysis, critical Rayleigh number has been obtained, while non-linear analysis has been done in terms of the Nusselt numbers.

AB - In this article, we study double-diffusive convection in a horizontal porous medium saturated by a nanofluid, for the case when the base fluid of the nanofluid is itself a binary fluid such as salty water. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis, while the Darcy model is used for the porous medium. The thermal energy equations include the diffusion and cross-diffusion terms. The linear stability is studied using normal mode technique and for non-linear analysis, a minimal representation of the truncated Fourier series analysis involving only two terms has been used. For linear theory analysis, critical Rayleigh number has been obtained, while non-linear analysis has been done in terms of the Nusselt numbers.

KW - Binary nanofluid

KW - Horton-Roger-Lapwood problem

KW - Natural convection

KW - Porous medium

UR - http://www.scopus.com/inward/record.url?scp=84863411126&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84863411126&partnerID=8YFLogxK

U2 - 10.1007/s11242-012-9942-y

DO - 10.1007/s11242-012-9942-y

M3 - Article

VL - 93

SP - 29

EP - 49

JO - Transport in Porous Media

JF - Transport in Porous Media

SN - 0169-3913

IS - 1

ER -