Mixed convection boundary layer flow along vertical moving thin needles with variable heat flux

S. Ahmad, N. M. Arifin, Roslinda Mohd. Nazar, I. Pop

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The problem of steady laminar mixed convection boundary layer flow of an incompressible viscous fluid along vertical moving thin needles with variable heat flux for both assisting and opposing flow cases is theoretically considered in this paper. The governing boundary layer equations are first transformed into non-dimensional forms. The curvature effects are incorporated into the analysis whereas the pressure variation in the axial direction has been neglected. These equations are then transformed into similarity equations using the similarity variables, which are solved numerically using an implicit finite-difference scheme known as the Keller-box method. The solutions are obtained for a blunt-nosed needle (m = 0). Numerical calculations are carried out for various values of the dimensionless parameters of the problem, which include the mixed convection parameter λ, the Prandtl number Pr and the parameter a representing the needle size. It is shown from the numerical results that the skin friction coefficient, the surface (wall) temperature and the velocity and temperature profiles are significantly influenced by these parameters. The results are presented in graphical form and are discussed in detail.

Original languageEnglish
Pages (from-to)473-479
Number of pages7
JournalHeat and Mass Transfer/Waerme- und Stoffuebertragung
Volume44
Issue number4
DOIs
Publication statusPublished - Feb 2008

Fingerprint

Mixed convection
boundary layer flow
Boundary layer flow
needles
Needles
Heat flux
heat flux
convection
Skin friction
Prandtl number
boundary layer equations
skin friction
wall temperature
Boundary layers
viscous fluids
temperature profiles
coefficient of friction
surface temperature
boxes
Temperature

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physical and Theoretical Chemistry
  • Fluid Flow and Transfer Processes

Cite this

Mixed convection boundary layer flow along vertical moving thin needles with variable heat flux. / Ahmad, S.; Arifin, N. M.; Mohd. Nazar, Roslinda; Pop, I.

In: Heat and Mass Transfer/Waerme- und Stoffuebertragung, Vol. 44, No. 4, 02.2008, p. 473-479.

Research output: Contribution to journalArticle

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