Forced-convection heat transfer over a circular cylinder with Newtonian heating

M. Z. Salleh, Roslinda Mohd. Nazar, N. M. Arifin, I. Pop, J. H. Merkin

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

A mathematical model for the forced convection boundary-layer flow over a circular cylinder is considered when there is Newtonian heating on the surface of the cylinder through which the heat transfer is proportional to the local surface temperature. The dimensionless version of the boundary-layer equations involve two parameters, the Prandtl number σ and γ measuring the strength of the surface heating. The solution near the stagnation point is considered first and this reveals that, to get a physically acceptable solution, γ must be less than some critical value γc, dependent on σ. Numerical solutions to the full boundary-layer problem are obtained which show that the surface temperature increases as the flow develops from the stagnation point.

Original languageEnglish
Pages (from-to)101-110
Number of pages10
JournalJournal of Engineering Mathematics
Volume69
Issue number1
DOIs
Publication statusPublished - Jan 2011

Fingerprint

Forced Convection
Forced convection
Circular Cylinder
Circular cylinders
Heating
Heat Transfer
Heat transfer
Stagnation Point
Boundary Layer
Boundary layers
Boundary layer flow
Boundary Layer Flow
Prandtl number
Dimensionless
Critical value
Two Parameters
Directly proportional
Numerical Solution
Mathematical Model
Mathematical models

Keywords

  • Boundary-layer flow
  • Circular cylinder
  • Forced convection
  • Newtonian heating
  • Stagnation point flow

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

Forced-convection heat transfer over a circular cylinder with Newtonian heating. / Salleh, M. Z.; Mohd. Nazar, Roslinda; Arifin, N. M.; Pop, I.; Merkin, J. H.

In: Journal of Engineering Mathematics, Vol. 69, No. 1, 01.2011, p. 101-110.

Research output: Contribution to journalArticle

Salleh, M. Z. ; Mohd. Nazar, Roslinda ; Arifin, N. M. ; Pop, I. ; Merkin, J. H. / Forced-convection heat transfer over a circular cylinder with Newtonian heating. In: Journal of Engineering Mathematics. 2011 ; Vol. 69, No. 1. pp. 101-110.
@article{7bbade7a9e5f46c693eba67f23ebcd35,
title = "Forced-convection heat transfer over a circular cylinder with Newtonian heating",
abstract = "A mathematical model for the forced convection boundary-layer flow over a circular cylinder is considered when there is Newtonian heating on the surface of the cylinder through which the heat transfer is proportional to the local surface temperature. The dimensionless version of the boundary-layer equations involve two parameters, the Prandtl number σ and γ measuring the strength of the surface heating. The solution near the stagnation point is considered first and this reveals that, to get a physically acceptable solution, γ must be less than some critical value γc, dependent on σ. Numerical solutions to the full boundary-layer problem are obtained which show that the surface temperature increases as the flow develops from the stagnation point.",
keywords = "Boundary-layer flow, Circular cylinder, Forced convection, Newtonian heating, Stagnation point flow",
author = "Salleh, {M. Z.} and {Mohd. Nazar}, Roslinda and Arifin, {N. M.} and I. Pop and Merkin, {J. H.}",
year = "2011",
month = "1",
doi = "10.1007/s10665-010-9408-6",
language = "English",
volume = "69",
pages = "101--110",
journal = "Journal of Engineering Mathematics",
issn = "0022-0833",
publisher = "Springer Netherlands",
number = "1",

}

TY - JOUR

T1 - Forced-convection heat transfer over a circular cylinder with Newtonian heating

AU - Salleh, M. Z.

AU - Mohd. Nazar, Roslinda

AU - Arifin, N. M.

AU - Pop, I.

AU - Merkin, J. H.

PY - 2011/1

Y1 - 2011/1

N2 - A mathematical model for the forced convection boundary-layer flow over a circular cylinder is considered when there is Newtonian heating on the surface of the cylinder through which the heat transfer is proportional to the local surface temperature. The dimensionless version of the boundary-layer equations involve two parameters, the Prandtl number σ and γ measuring the strength of the surface heating. The solution near the stagnation point is considered first and this reveals that, to get a physically acceptable solution, γ must be less than some critical value γc, dependent on σ. Numerical solutions to the full boundary-layer problem are obtained which show that the surface temperature increases as the flow develops from the stagnation point.

AB - A mathematical model for the forced convection boundary-layer flow over a circular cylinder is considered when there is Newtonian heating on the surface of the cylinder through which the heat transfer is proportional to the local surface temperature. The dimensionless version of the boundary-layer equations involve two parameters, the Prandtl number σ and γ measuring the strength of the surface heating. The solution near the stagnation point is considered first and this reveals that, to get a physically acceptable solution, γ must be less than some critical value γc, dependent on σ. Numerical solutions to the full boundary-layer problem are obtained which show that the surface temperature increases as the flow develops from the stagnation point.

KW - Boundary-layer flow

KW - Circular cylinder

KW - Forced convection

KW - Newtonian heating

KW - Stagnation point flow

UR - http://www.scopus.com/inward/record.url?scp=78649855322&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78649855322&partnerID=8YFLogxK

U2 - 10.1007/s10665-010-9408-6

DO - 10.1007/s10665-010-9408-6

M3 - Article

AN - SCOPUS:78649855322

VL - 69

SP - 101

EP - 110

JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

SN - 0022-0833

IS - 1

ER -