Mixed Convection Boundary Layer Flow Near the Lower Stagnation Point of a Cylinder Embedded in a Porous Medium Using a Thermal Nonequilibrium Model

Haliza Rosali, Anuar Mohd Ishak, Ioan Pop

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The present paper analyzes the problem of two-dimensional mixed convection boundary layer flow near the lower stagnation point of a cylinder embedded in a porous medium. It is assumed that the Darcy's law holds and that the solid and fluid phases of the medium are not in thermal equilibrium. Using an appropriate similarity transformation, the governing system of partial differential equations are transformed into a system of ordinary differential equations, before being solved numerically by a finite-difference method. We investigate the dependence of the Nusselt number on the solid-fluid parameters, thermal conductivity ratio and the mixed convection parameter. The results indicate that dual solutions exist for buoyancy opposing flow, while for the assisting flow, the solution is unique.

Original languageEnglish
Article number084501
JournalJournal of Heat Transfer
Volume138
Issue number8
DOIs
Publication statusPublished - 1 Aug 2016

Fingerprint

Mixed convection
boundary layer flow
stagnation point
Boundary layer flow
Porous materials
convection
Fluids
fluids
Nusselt number
Buoyancy
buoyancy
Finite difference method
Ordinary differential equations
partial differential equations
Partial differential equations
solid phases
Thermal conductivity
differential equations
thermal conductivity
Hot Temperature

Keywords

  • dual solutions
  • heat transfer
  • mixed convection
  • nonequilibrium
  • porous medium
  • Stagnation point

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)
  • Condensed Matter Physics

Cite this

@article{44c07b65f8d94df79b4abc9336717165,
title = "Mixed Convection Boundary Layer Flow Near the Lower Stagnation Point of a Cylinder Embedded in a Porous Medium Using a Thermal Nonequilibrium Model",
abstract = "The present paper analyzes the problem of two-dimensional mixed convection boundary layer flow near the lower stagnation point of a cylinder embedded in a porous medium. It is assumed that the Darcy's law holds and that the solid and fluid phases of the medium are not in thermal equilibrium. Using an appropriate similarity transformation, the governing system of partial differential equations are transformed into a system of ordinary differential equations, before being solved numerically by a finite-difference method. We investigate the dependence of the Nusselt number on the solid-fluid parameters, thermal conductivity ratio and the mixed convection parameter. The results indicate that dual solutions exist for buoyancy opposing flow, while for the assisting flow, the solution is unique.",
keywords = "dual solutions, heat transfer, mixed convection, nonequilibrium, porous medium, Stagnation point",
author = "Haliza Rosali and {Mohd Ishak}, Anuar and Ioan Pop",
year = "2016",
month = "8",
day = "1",
doi = "10.1115/1.4033164",
language = "English",
volume = "138",
journal = "Journal of Heat Transfer",
issn = "0022-1481",
publisher = "American Society of Mechanical Engineers(ASME)",
number = "8",

}

TY - JOUR

T1 - Mixed Convection Boundary Layer Flow Near the Lower Stagnation Point of a Cylinder Embedded in a Porous Medium Using a Thermal Nonequilibrium Model

AU - Rosali, Haliza

AU - Mohd Ishak, Anuar

AU - Pop, Ioan

PY - 2016/8/1

Y1 - 2016/8/1

N2 - The present paper analyzes the problem of two-dimensional mixed convection boundary layer flow near the lower stagnation point of a cylinder embedded in a porous medium. It is assumed that the Darcy's law holds and that the solid and fluid phases of the medium are not in thermal equilibrium. Using an appropriate similarity transformation, the governing system of partial differential equations are transformed into a system of ordinary differential equations, before being solved numerically by a finite-difference method. We investigate the dependence of the Nusselt number on the solid-fluid parameters, thermal conductivity ratio and the mixed convection parameter. The results indicate that dual solutions exist for buoyancy opposing flow, while for the assisting flow, the solution is unique.

AB - The present paper analyzes the problem of two-dimensional mixed convection boundary layer flow near the lower stagnation point of a cylinder embedded in a porous medium. It is assumed that the Darcy's law holds and that the solid and fluid phases of the medium are not in thermal equilibrium. Using an appropriate similarity transformation, the governing system of partial differential equations are transformed into a system of ordinary differential equations, before being solved numerically by a finite-difference method. We investigate the dependence of the Nusselt number on the solid-fluid parameters, thermal conductivity ratio and the mixed convection parameter. The results indicate that dual solutions exist for buoyancy opposing flow, while for the assisting flow, the solution is unique.

KW - dual solutions

KW - heat transfer

KW - mixed convection

KW - nonequilibrium

KW - porous medium

KW - Stagnation point

UR - http://www.scopus.com/inward/record.url?scp=84974602919&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84974602919&partnerID=8YFLogxK

U2 - 10.1115/1.4033164

DO - 10.1115/1.4033164

M3 - Article

AN - SCOPUS:84974602919

VL - 138

JO - Journal of Heat Transfer

JF - Journal of Heat Transfer

SN - 0022-1481

IS - 8

M1 - 084501

ER -