The Schneider problem for a micropolar fluid

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

The effect of buoyancy forces on fluid flow and heat transfer over a horizontal plate in a steady, laminar and incompressible micropolar fluid has been investigated. The wall temperature is assumed to be inversely proportional to the square root of the distance from the leading edge. The set of similarity equations has been solved numerically using the Keller-box method, and the solution is given for some values of buoyancy parameter, material (micropolar) parameter and Prandtl number. It is found that dual solutions exist up to certain negative values of buoyancy parameter (decelerated flow) for all values of micropolar parameter and Prandtl number considered in this study. Beyond these values, the solution does no longer exist. Moreover, it is found that there is no local heat transfer at the wall except in the singular point at the leading edge, although the wall temperature is different from the free stream temperature.

Original languageEnglish
Pages (from-to)489-502
Number of pages14
JournalFluid Dynamics Research
Volume38
Issue number7
DOIs
Publication statusPublished - Jul 2006

Fingerprint

micropolar fluids
Buoyancy
Prandtl number
buoyancy
Fluids
wall temperature
leading edges
Heat transfer
heat transfer
Temperature
Flow of fluids
free flow
fluid flow
boxes
temperature

Keywords

  • Boundary layer
  • Dual solutions
  • Heat transfer
  • Horizontal plate
  • Micropolar fluid
  • Mixed convection

ASJC Scopus subject areas

  • Mechanical Engineering
  • Statistical and Nonlinear Physics

Cite this

The Schneider problem for a micropolar fluid. / Mohd Ishak, Anuar; Mohd. Nazar, Roslinda; Pop, Ioan.

In: Fluid Dynamics Research, Vol. 38, No. 7, 07.2006, p. 489-502.

Research output: Contribution to journalArticle

@article{5bdc1e5cbb584ec485e87e83640c5083,
title = "The Schneider problem for a micropolar fluid",
abstract = "The effect of buoyancy forces on fluid flow and heat transfer over a horizontal plate in a steady, laminar and incompressible micropolar fluid has been investigated. The wall temperature is assumed to be inversely proportional to the square root of the distance from the leading edge. The set of similarity equations has been solved numerically using the Keller-box method, and the solution is given for some values of buoyancy parameter, material (micropolar) parameter and Prandtl number. It is found that dual solutions exist up to certain negative values of buoyancy parameter (decelerated flow) for all values of micropolar parameter and Prandtl number considered in this study. Beyond these values, the solution does no longer exist. Moreover, it is found that there is no local heat transfer at the wall except in the singular point at the leading edge, although the wall temperature is different from the free stream temperature.",
keywords = "Boundary layer, Dual solutions, Heat transfer, Horizontal plate, Micropolar fluid, Mixed convection",
author = "{Mohd Ishak}, Anuar and {Mohd. Nazar}, Roslinda and Ioan Pop",
year = "2006",
month = "7",
doi = "10.1016/j.fluiddyn.2006.03.004",
language = "English",
volume = "38",
pages = "489--502",
journal = "Fluid Dynamics Research",
issn = "0169-5983",
publisher = "IOP Publishing Ltd.",
number = "7",

}

TY - JOUR

T1 - The Schneider problem for a micropolar fluid

AU - Mohd Ishak, Anuar

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2006/7

Y1 - 2006/7

N2 - The effect of buoyancy forces on fluid flow and heat transfer over a horizontal plate in a steady, laminar and incompressible micropolar fluid has been investigated. The wall temperature is assumed to be inversely proportional to the square root of the distance from the leading edge. The set of similarity equations has been solved numerically using the Keller-box method, and the solution is given for some values of buoyancy parameter, material (micropolar) parameter and Prandtl number. It is found that dual solutions exist up to certain negative values of buoyancy parameter (decelerated flow) for all values of micropolar parameter and Prandtl number considered in this study. Beyond these values, the solution does no longer exist. Moreover, it is found that there is no local heat transfer at the wall except in the singular point at the leading edge, although the wall temperature is different from the free stream temperature.

AB - The effect of buoyancy forces on fluid flow and heat transfer over a horizontal plate in a steady, laminar and incompressible micropolar fluid has been investigated. The wall temperature is assumed to be inversely proportional to the square root of the distance from the leading edge. The set of similarity equations has been solved numerically using the Keller-box method, and the solution is given for some values of buoyancy parameter, material (micropolar) parameter and Prandtl number. It is found that dual solutions exist up to certain negative values of buoyancy parameter (decelerated flow) for all values of micropolar parameter and Prandtl number considered in this study. Beyond these values, the solution does no longer exist. Moreover, it is found that there is no local heat transfer at the wall except in the singular point at the leading edge, although the wall temperature is different from the free stream temperature.

KW - Boundary layer

KW - Dual solutions

KW - Heat transfer

KW - Horizontal plate

KW - Micropolar fluid

KW - Mixed convection

UR - http://www.scopus.com/inward/record.url?scp=33744826027&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33744826027&partnerID=8YFLogxK

U2 - 10.1016/j.fluiddyn.2006.03.004

DO - 10.1016/j.fluiddyn.2006.03.004

M3 - Article

AN - SCOPUS:33744826027

VL - 38

SP - 489

EP - 502

JO - Fluid Dynamics Research

JF - Fluid Dynamics Research

SN - 0169-5983

IS - 7

ER -