The effect of unsteadiness on mixed convection boundary-layer stagnation-point flow over a vertical flat surface embedded in a porous medium

Haliza Rosali, Anuar Mohd Ishak, Roslinda Mohd. Nazar, J. H. Merkin, I. Pop

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The unsteady mixed convection boundary-layer flow towards a stagnation point on a heated vertical surface embedded in a porous medium is considered. The governing partial differential equations are reduced to a system of nonlinear ordinary differential equations using a similarity transformation. These are then solved numerically using the Keller-box method. These numerical results are complemented by asymptotic solutions for large values of A. The influence of dimensionless parameters λ (mixed convection), A (time variation), n (wall temperature variation) on the flow field and heat transfer is analyzed and discussed, dual solutions being found for both assisting and opposing buoyant flows.

Original languageEnglish
Pages (from-to)147-156
Number of pages10
JournalInternational Journal of Heat and Mass Transfer
Volume77
DOIs
Publication statusPublished - 2014

Fingerprint

Mixed convection
stagnation point
Porous materials
flat surfaces
boundary layers
Boundary layers
convection
boundary layer flow
Boundary layer flow
wall temperature
Ordinary differential equations
partial differential equations
Partial differential equations
boxes
Flow fields
flow distribution
differential equations
heat transfer
Heat transfer
Temperature

Keywords

  • Mixed convection
  • Planar and axisymmetric flow
  • Porous medium
  • Stagnation point
  • Unsteady flow

ASJC Scopus subject areas

  • Mechanical Engineering
  • Condensed Matter Physics
  • Fluid Flow and Transfer Processes

Cite this

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title = "The effect of unsteadiness on mixed convection boundary-layer stagnation-point flow over a vertical flat surface embedded in a porous medium",
abstract = "The unsteady mixed convection boundary-layer flow towards a stagnation point on a heated vertical surface embedded in a porous medium is considered. The governing partial differential equations are reduced to a system of nonlinear ordinary differential equations using a similarity transformation. These are then solved numerically using the Keller-box method. These numerical results are complemented by asymptotic solutions for large values of A. The influence of dimensionless parameters λ (mixed convection), A (time variation), n (wall temperature variation) on the flow field and heat transfer is analyzed and discussed, dual solutions being found for both assisting and opposing buoyant flows.",
keywords = "Mixed convection, Planar and axisymmetric flow, Porous medium, Stagnation point, Unsteady flow",
author = "Haliza Rosali and {Mohd Ishak}, Anuar and {Mohd. Nazar}, Roslinda and Merkin, {J. H.} and I. Pop",
year = "2014",
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T1 - The effect of unsteadiness on mixed convection boundary-layer stagnation-point flow over a vertical flat surface embedded in a porous medium

AU - Rosali, Haliza

AU - Mohd Ishak, Anuar

AU - Mohd. Nazar, Roslinda

AU - Merkin, J. H.

AU - Pop, I.

PY - 2014

Y1 - 2014

N2 - The unsteady mixed convection boundary-layer flow towards a stagnation point on a heated vertical surface embedded in a porous medium is considered. The governing partial differential equations are reduced to a system of nonlinear ordinary differential equations using a similarity transformation. These are then solved numerically using the Keller-box method. These numerical results are complemented by asymptotic solutions for large values of A. The influence of dimensionless parameters λ (mixed convection), A (time variation), n (wall temperature variation) on the flow field and heat transfer is analyzed and discussed, dual solutions being found for both assisting and opposing buoyant flows.

AB - The unsteady mixed convection boundary-layer flow towards a stagnation point on a heated vertical surface embedded in a porous medium is considered. The governing partial differential equations are reduced to a system of nonlinear ordinary differential equations using a similarity transformation. These are then solved numerically using the Keller-box method. These numerical results are complemented by asymptotic solutions for large values of A. The influence of dimensionless parameters λ (mixed convection), A (time variation), n (wall temperature variation) on the flow field and heat transfer is analyzed and discussed, dual solutions being found for both assisting and opposing buoyant flows.

KW - Mixed convection

KW - Planar and axisymmetric flow

KW - Porous medium

KW - Stagnation point

KW - Unsteady flow

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EP - 156

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

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