A numerical investigation of a buoyancy driven flow in a semi-porous cavity: Comparative effects of ramped and isothermal wall conditions

Pallath Chandran; Nirmal C. Sacheti; Ashok K. Singh

doi:10.2478/johh-2013-0014

A numerical investigation of a buoyancy driven flow in a semi-porous cavity: Comparative effects of ramped and isothermal wall conditions

Pallath Chandran^*, Nirmal C. Sacheti, Ashok K. Singh

^*Corresponding author for this work

Mathematics & Statistics

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

11 Citations (Scopus)

Abstract

Steady two-dimensional natural convection taking place in a rectangular cavity, partially filled with an isotropic porous material, has been investigated numerically using an ADI method. It is assumed that one of the vertical walls of the cavity has a ramped temperature distribution. The vorticity-stream function formulation has been used to solve the set of nonlinear partial differential equations governing the flows in the clear region and the adjoining porous region. The effects of Darcy number and Rayleigh number have been discussed in detail.

Original language	English
Pages (from-to)	103-111
Number of pages	9
Journal	Journal of Hydrology and Hydromechanics
Volume	61
Issue number	2
DOIs	https://doi.org/10.2478/johh-2013-0014
Publication status	Published - 2013

Keywords

Brinkman model
Coupled flow
Free convection
Numerical solution
Ramped boundary condition
Rectangular cavity

ASJC Scopus subject areas

Fluid Flow and Transfer Processes
Water Science and Technology
Mechanical Engineering

Access to Document

10.2478/johh-2013-0014

Cite this

@article{5bd968d772be465a827b5efe3030bfb0,

title = "A numerical investigation of a buoyancy driven flow in a semi-porous cavity: Comparative effects of ramped and isothermal wall conditions",

abstract = "Steady two-dimensional natural convection taking place in a rectangular cavity, partially filled with an isotropic porous material, has been investigated numerically using an ADI method. It is assumed that one of the vertical walls of the cavity has a ramped temperature distribution. The vorticity-stream function formulation has been used to solve the set of nonlinear partial differential equations governing the flows in the clear region and the adjoining porous region. The effects of Darcy number and Rayleigh number have been discussed in detail.",

keywords = "Brinkman model, Coupled flow, Free convection, Numerical solution, Ramped boundary condition, Rectangular cavity",

author = "Pallath Chandran and Sacheti, {Nirmal C.} and Singh, {Ashok K.}",

year = "2013",

doi = "10.2478/johh-2013-0014",

language = "English",

volume = "61",

pages = "103--111",

journal = "Journal of Hydrology and Hydromechanics",

issn = "0042-790X",

publisher = "Slovak Academy of Sciences",

number = "2",

}

TY - JOUR

T1 - A numerical investigation of a buoyancy driven flow in a semi-porous cavity

T2 - Comparative effects of ramped and isothermal wall conditions

AU - Chandran, Pallath

AU - Sacheti, Nirmal C.

AU - Singh, Ashok K.

PY - 2013

Y1 - 2013

N2 - Steady two-dimensional natural convection taking place in a rectangular cavity, partially filled with an isotropic porous material, has been investigated numerically using an ADI method. It is assumed that one of the vertical walls of the cavity has a ramped temperature distribution. The vorticity-stream function formulation has been used to solve the set of nonlinear partial differential equations governing the flows in the clear region and the adjoining porous region. The effects of Darcy number and Rayleigh number have been discussed in detail.

AB - Steady two-dimensional natural convection taking place in a rectangular cavity, partially filled with an isotropic porous material, has been investigated numerically using an ADI method. It is assumed that one of the vertical walls of the cavity has a ramped temperature distribution. The vorticity-stream function formulation has been used to solve the set of nonlinear partial differential equations governing the flows in the clear region and the adjoining porous region. The effects of Darcy number and Rayleigh number have been discussed in detail.

KW - Brinkman model

KW - Coupled flow

KW - Free convection

KW - Numerical solution

KW - Ramped boundary condition

KW - Rectangular cavity

UR - http://www.scopus.com/inward/record.url?scp=84881621709&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84881621709&partnerID=8YFLogxK

U2 - 10.2478/johh-2013-0014

DO - 10.2478/johh-2013-0014

M3 - Article

AN - SCOPUS:84881621709

VL - 61

SP - 103

EP - 111

JO - Journal of Hydrology and Hydromechanics

JF - Journal of Hydrology and Hydromechanics

SN - 0042-790X

IS - 2

ER -

A numerical investigation of a buoyancy driven flow in a semi-porous cavity: Comparative effects of ramped and isothermal wall conditions

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this