Numerical investigation of pin-fin thermal performance for staggered and inline arrays at low Reynolds number

Numerical investigation of pin-fin thermal performance for staggered and inline arrays at low Reynolds number

Biswaranjan PatiBishwajit Sharma Ashutosh Palo Rabindra Nath Barman 

Department of Mechanical Engineering, National Institute of Technology, West Bengal 713209, India

Corresponding Author Email: 
rn.barman@me.nitdgp.ac.in
Page: 
697-703
|
DOI: 
https://doi.org/10.18280/ijht.360235
Received: 
19 December 2017
| |
Accepted: 
26 April 2018
| | Citation

OPEN ACCESS

Abstract: 

Microprocessor pin fins are arguably one of the most ubiquitous cooling panaceas for a plethora of integrated chip (IC) electronics. The present study is an attempt to numerically analyze the thermal performance of microprocessor pin fins of different geometries for inline and staggered arrangements using finite volume method based solver Ansys Fluent. The effects of various parameters like Reynolds number, inter spacing ratio and the geometry of fins on the heat dissipation rate are explored. Inline and staggered arrangements for cylindrical and conical fins with same effective lengths are considered. Nusselt number for each arrangement with Reynolds number varying from 3423 to 34230 is calculated and considered as the selection criteria for heat transfer application of heat sinks with a constant wattage unit attached to it. Design and boundary conditions corresponding to different fins are taken pertaining to standard practices available through open literature. Results show a significant enhancement in heat transfer for staggered arrangement as compared to inline making it suitable for low Reynolds number micro heat transfer applications. An increment in Nusselt number is observed with increasing Reynolds Number for each of the arrangements and fin geometries.

Keywords: 

pin fins, SST k-ω turbulence model, fluent, staggered, inline, Nusselt number

1. Introduction
2. Materials and Methods
3. Theory
4. Results
5. Conclusions
Nomenclature
  References

[1] Nag PK. (2011). Heat and Mass Transfer. 3rd Ed. New Delhi, India, pp. 75-77.

[2] Limbasiya N, Roy A, Harichandan AB. (2017). Numerical simulation of heat transfer for microelectronic heat sinks with different fin geometries in tandem and staggered arrangements. Thermal Science and Engineering Progress 4: 11-17. http://dx.doi.org/10.1016/j.tsep.2017.08.002 

[3] Samarth AB, Sawankar KS. (2014). Thermal performance of perforated pin-fin arrays in staggered arrangement. Int. J. Sci. Eng. Res 5(7): 777-783.

[4] Yun JY, Lee KS. (2000). Influence of design parameters on the heat transfer and flow friction characteristics of the heat exchanger with slit fins. International Journal of Heat and Mass Transfer 43(14): 2529-2539. http://dx.doi.org/10.1016/S0017-9310(99)00342-7 

[5] Peng XF, Peterson GP. (1996). Convective heat transfer and flow friction for water flow in micro channel structures. International Journal of Heat and Mass Transfer 39(12): 2599-2608.

[6] Brown A, Mandjikas B, Mudyiwa JM. (1980). Blade trailing edge heat transfer. ASME 1980 International Gas Turbine Conference and Products Show, American Society of Mechanical Engineers. http://dx.doi.org/10.1115/80-GT-45 

[7] Uzol O, Camci C. (2005). Heat transfer, pressure loss and flow field measurements downstream of staggered two-row circular and elliptical pin fin arrays. Transactions of the ASME-C-Journal of Heat Transfer 127(5): 458-471. http://dx.doi.org/10.1115/1.1860563 

[8] VanFossen GJ. (1981). Heat transfer coefficients for staggered arrays of short pin fins. ASME 1981 International Gas Turbine Conference and Products Show, American Society of Mechanical Engineers. http://dx.doi.org/10.1115/81-GT-75 

[9] Armstrong J, Winstanley D. (1988). A review of staggered array pin fin heat transfer for turbine cooling applications. Journal of Turbo Machinery 110(1): 94-103. http://dx.doi.org/10.1115/1.3262173 

[10] Uzol O, Camci C. (2001). Elliptical pin fins as an alternative to circular pin fins for gas turbine blade cooling applications. ASME Paper No. 2001-GT 181.

[11] Wan W. et al. (2017). Experimental study and optimization of pin fin shapes in flow boiling of micro pin fin heat sinks. Applied Thermal Engineering 114: 436-449. http://dx.doi.org/10.1016/j.applthermaleng.2016.11.182 

[12] Lampio K, Karvinen R. (2017). Optimization of convectively cooled heat sinks. Microelectronics Reliability. http://dx.doi.org/10.1016/j.microrel.2017.06.011 

[13] Tari I, Mehrtash M. (2013). Natural convection heat transfer from horizontal and slightly inclined plate-fin heat sinks. Applied Thermal Engineering 61(2): 728-736. http://dx.doi.org/10.1016/j.applthermaleng.2013.09.003 

[14] Anoop B, Balaji C, Velusamy K. (2015). A characteristic correlation for heat transfer over serrated finned tubes. Annals of Nuclear Energy 85: 1052-1065. http://dx.doi.org/10.1016/j.anucene.2015.07.025 

[15] Yu D, Jeon W, Kim SJ. (2017). Analytic solutions of the friction factor and the Nusselt number for the low-Reynolds number flow between two wavy plate fins. International Journal of Heat and Mass Transfer 115 (2017): 307-316. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2017.08.025 

[16] Chen HT, et al. (2017). Numerical and experimental study of natural convection heat transfer characteristics for vertical annular finned tube heat exchanger. International Journal of Heat and Mass Transfer 109: 378-392. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2017.01.122 

[17] Wu X, et al. (2014). Numerical simulation of heat transfer and fluid flow characteristics of composite fin. International Journal of Heat and Mass Transfer 75: 414-424. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2014.03.087 

[18] Bergles AE, Morton HL. (1965). Survey and evaluation of techniques to augment convective heat transfer. Cambridge, Mass.: MIT Dept. of Mechanical Engineering.

[19] Bergles AE, Bunn RL, Junkhan GH. (1974). Extended performance evaluation criteria for enhanced heat transfer surfaces. Letters in Heat and Mass Transfer 1(2): 113-120. http://dx.doi.org/10.1016/0094-4548(74)90147-7 

[20] Bensaci CE, Labed A, Zellouf M, Moummi A. (2017). Numerical study of natural convection in an inclined enclosure: Application to flat plate solar collectors. Math. Model. Eng. Probl 4(1): 1-6. http://iieta.org/sites/default/files/Journals/MMEP/04.1_01.pdf 

[21] Thangadurai M, Kapil M, Sharma B, Roy D. (2017). A Preliminary Numerical Investigation of a Heat Sink Thermal Performance at Moderate Reynolds numbers.

[22] Fluent, Ansys. "12.0 Theory Guide." Ansys Inc 5 (2009).