Mathematical modeling of boundary layer flow over a moving thin needle with variable heat flux

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The problem of steady laminar forced convection boundary layer flow of an incompressible viscous fluid over a moving thin needle with variable heat flux is considered. The governing boundary layer equations are first transformed into non-dimensional forms. 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 computations are carried out for various values of the dimensionless parameters of the problem, which include the Prandtl number Pr and the parameter a representing the needle size. It has been found that the wall temperature is significantly influenced by both parameter a and Prandtl number Pr. However, the Prandtl number has no effect on the flow characteristics due to the decoupled boundary layer equations.

Original languageEnglish
Title of host publicationLecture Notes in Electrical Engineering
Pages43-54
Number of pages12
Volume11
DOIs
Publication statusPublished - 2009

Publication series

NameLecture Notes in Electrical Engineering
Volume11
ISSN (Print)18761100
ISSN (Electronic)18761119

Fingerprint

Boundary layer flow
Prandtl number
Needles
Heat flux
Boundary layers
Forced convection
Fluids
Temperature

Keywords

  • Boundary layer flow
  • Moving thin needle
  • Variable heat flux

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering

Cite this

Ahmad, S., Arifin, N. M., Mohd. Nazar, R., & Pop, I. (2009). Mathematical modeling of boundary layer flow over a moving thin needle with variable heat flux. In Lecture Notes in Electrical Engineering (Vol. 11, pp. 43-54). (Lecture Notes in Electrical Engineering; Vol. 11). https://doi.org/10.1007/978-0-387-76483-2_4

Mathematical modeling of boundary layer flow over a moving thin needle with variable heat flux. / Ahmad, S.; Arifin, N. M.; Mohd. Nazar, Roslinda; Pop, I.

Lecture Notes in Electrical Engineering. Vol. 11 2009. p. 43-54 (Lecture Notes in Electrical Engineering; Vol. 11).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ahmad, S, Arifin, NM, Mohd. Nazar, R & Pop, I 2009, Mathematical modeling of boundary layer flow over a moving thin needle with variable heat flux. in Lecture Notes in Electrical Engineering. vol. 11, Lecture Notes in Electrical Engineering, vol. 11, pp. 43-54. https://doi.org/10.1007/978-0-387-76483-2_4
Ahmad S, Arifin NM, Mohd. Nazar R, Pop I. Mathematical modeling of boundary layer flow over a moving thin needle with variable heat flux. In Lecture Notes in Electrical Engineering. Vol. 11. 2009. p. 43-54. (Lecture Notes in Electrical Engineering). https://doi.org/10.1007/978-0-387-76483-2_4
Ahmad, S. ; Arifin, N. M. ; Mohd. Nazar, Roslinda ; Pop, I. / Mathematical modeling of boundary layer flow over a moving thin needle with variable heat flux. Lecture Notes in Electrical Engineering. Vol. 11 2009. pp. 43-54 (Lecture Notes in Electrical Engineering).
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