### 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 language | English |
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Title of host publication | Lecture Notes in Electrical Engineering |

Pages | 43-54 |

Number of pages | 12 |

Volume | 11 |

DOIs | |

Publication status | Published - 2009 |

### Publication series

Name | Lecture Notes in Electrical Engineering |
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Volume | 11 |

ISSN (Print) | 18761100 |

ISSN (Electronic) | 18761119 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Industrial and Manufacturing Engineering

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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

}

TY - GEN

T1 - Mathematical modeling of boundary layer flow over a moving thin needle with variable heat flux

AU - Ahmad, S.

AU - Arifin, N. M.

AU - Mohd. Nazar, Roslinda

AU - Pop, I.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - Boundary layer flow

KW - Moving thin needle

KW - Variable heat flux

UR - http://www.scopus.com/inward/record.url?scp=79957493825&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79957493825&partnerID=8YFLogxK

U2 - 10.1007/978-0-387-76483-2_4

DO - 10.1007/978-0-387-76483-2_4

M3 - Conference contribution

AN - SCOPUS:79957493825

SN - 9780387764825

VL - 11

T3 - Lecture Notes in Electrical Engineering

SP - 43

EP - 54

BT - Lecture Notes in Electrical Engineering

ER -