Numerical investigation of semiempirical relations representing the local Nusselt number magnitude of a pin fin heat sink

Siddiqi, Mohammad Umar and Gulhane, P. Nitin and Khan, Sher Afghan and Taler, Jan and Cebula, Arthur and Oclon, Pawel and Patil, Rajesh (2019) Numerical investigation of semiempirical relations representing the local Nusselt number magnitude of a pin fin heat sink. Heat Transfer—Asian Research, 48 (5). pp. 1857-1888. ISSN 1099-2871 E-ISSN 1523-1496

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Abstract

Heat transfer augmentation study using air jet impingement has recently attained great interest toward electronic packaging systems and material processing industries. The present study aims at developing a nondimensional semiempirical relation, which represents the cooling rate (Nu) in terms of different geometric and impinging parameters. The spacing of the fin (S/dp) and the fin heights (H/dp) are the geometric parameters, while the impinging Reynolds number (Re) and nozzle‐target spacing (Z/d) are the impinging parameters. During the plot of the Nusselt profile, three vital secondary peaks are observed due to local turbulence of air over the heat sink. To incorporate this nonlinear behavior of the Nusselt profile in developing nondimensional empirical relations, the Nusselt profiles are divided into different regions of secondary rise and fall. Four different sets of the semiempirical relation using regression analysis are proposed for Z/d ≤ 6, H/dp ≤ 4.8 with S/dp ≤ 1.58, S/dp > 1.58 and for Z/d > 6, H/dp > 4.8 with S/dp ≤ 1.58, S/dp > 1.58. These empirical relations benefit the evaluation of the cooling rate (Nu) without any experimentation or simulation.

Item Type:	Article (Journal)
Additional Information:	7395/71600
Uncontrolled Keywords:	heat sinks, heat transfer, heat transfer enhancement, numerical simulation, Nusselt number, Reynolds number
Subjects:	T Technology > TJ Mechanical engineering and machinery > TJ163.26 Energy conservation
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering Kulliyyah of Engineering > Department of Mechanical Engineering
Depositing User:	Prof. Dr. Sher Afghan Khan
Date Deposited:	16 Apr 2019 09:19
Last Modified:	31 Mar 2020 15:39
URI:	http://irep.iium.edu.my/id/eprint/71600

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