Abstract
The steady flow and heat transfer over a moving thin needle with prescribed surface heat flux is studied. The similarity equations are obtained by using similarity transformation technique. The problem is solved numerically using the boundary value problem solver (bvp4c) in Matlab software. The plots of the skin friction coefficient and the local Nusselt number as well as the velocity and temperature profiles are presented and their behaviors are discussed for different values of the needle size and the velocity ratio parameter. Results show that the decreasing of the needle size enhance the skin friction coefficient and the local Nusselt number on the needle surface. It is found that dual solutions exist (upper and lower branches) for a certain range of the velocity ratio parameter. A stability analysis of the solutions are performed and it shows that the upper branch solution is stable, while the lower branch solution is unstable.
| Original language | English |
|---|---|
| Pages (from-to) | 651-658 |
| Number of pages | 8 |
| Journal | Chinese Journal of Physics |
| Volume | 60 |
| DOIs | |
| Publication status | Published - 1 Aug 2019 |
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Keywords
- Dual solutions
- Stability analysis
- Surface heat flux
- Thin needle
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
On the stability of the flow and heat transfer over a moving thin needle with prescribed surface heat flux. / Waini, Iskandar; Mohd Ishak, Anuar; Pop, Ioan.
In: Chinese Journal of Physics, Vol. 60, 01.08.2019, p. 651-658.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On the stability of the flow and heat transfer over a moving thin needle with prescribed surface heat flux
AU - Waini, Iskandar
AU - Mohd Ishak, Anuar
AU - Pop, Ioan
PY - 2019/8/1
Y1 - 2019/8/1
N2 - The steady flow and heat transfer over a moving thin needle with prescribed surface heat flux is studied. The similarity equations are obtained by using similarity transformation technique. The problem is solved numerically using the boundary value problem solver (bvp4c) in Matlab software. The plots of the skin friction coefficient and the local Nusselt number as well as the velocity and temperature profiles are presented and their behaviors are discussed for different values of the needle size and the velocity ratio parameter. Results show that the decreasing of the needle size enhance the skin friction coefficient and the local Nusselt number on the needle surface. It is found that dual solutions exist (upper and lower branches) for a certain range of the velocity ratio parameter. A stability analysis of the solutions are performed and it shows that the upper branch solution is stable, while the lower branch solution is unstable.
AB - The steady flow and heat transfer over a moving thin needle with prescribed surface heat flux is studied. The similarity equations are obtained by using similarity transformation technique. The problem is solved numerically using the boundary value problem solver (bvp4c) in Matlab software. The plots of the skin friction coefficient and the local Nusselt number as well as the velocity and temperature profiles are presented and their behaviors are discussed for different values of the needle size and the velocity ratio parameter. Results show that the decreasing of the needle size enhance the skin friction coefficient and the local Nusselt number on the needle surface. It is found that dual solutions exist (upper and lower branches) for a certain range of the velocity ratio parameter. A stability analysis of the solutions are performed and it shows that the upper branch solution is stable, while the lower branch solution is unstable.
KW - Dual solutions
KW - Stability analysis
KW - Surface heat flux
KW - Thin needle
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U2 - 10.1016/j.cjph.2019.06.008
DO - 10.1016/j.cjph.2019.06.008
M3 - Article
VL - 60
SP - 651
EP - 658
JO - Chinese Journal of Physics
JF - Chinese Journal of Physics
SN - 0577-9073
ER -