Numerical investigation of semiempirical relations representing the local Nusselt number magnitude of a pin fin heat sink
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 o...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English English English |
| Published: |
John Wiley & Sons, Inc
2019
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/71600/ http://irep.iium.edu.my/71600/19/71600_Numerical%20investigation%20of%20semiempirical_article.pdf http://irep.iium.edu.my/71600/7/71600_Numerical%20investigation%20of%20semiempirical%20relations%20representing%20the%20local%20Nusselt%20number%20magnitude%20of%20a%20pin%20fin%20heat%20sink_WOS.pdf http://irep.iium.edu.my/71600/13/71600_Numerical%20investigation%20of%20semiempirical_scopus.pdf |
| _version_ | 1848787477028929536 |
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| author | Siddiqi, Mohammad Umar Gulhane, P. Nitin Khan, Sher Afghan Taler, Jan Cebula, Arthur Oclon, Pawel Patil, Rajesh |
| author_facet | Siddiqi, Mohammad Umar Gulhane, P. Nitin Khan, Sher Afghan Taler, Jan Cebula, Arthur Oclon, Pawel Patil, Rajesh |
| author_sort | Siddiqi, Mohammad Umar |
| building | IIUM Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T17:25:33Z |
| format | Article |
| id | iium-71600 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T17:25:33Z |
| publishDate | 2019 |
| publisher | John Wiley & Sons, Inc |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-716002020-03-31T07:39:27Z http://irep.iium.edu.my/71600/ Numerical investigation of semiempirical relations representing the local Nusselt number magnitude of a pin fin heat sink Siddiqi, Mohammad Umar Gulhane, P. Nitin Khan, Sher Afghan Taler, Jan Cebula, Arthur Oclon, Pawel Patil, Rajesh TJ163.26 Energy conservation 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. John Wiley & Sons, Inc 2019-07 Article PeerReviewed application/pdf en http://irep.iium.edu.my/71600/19/71600_Numerical%20investigation%20of%20semiempirical_article.pdf application/pdf en http://irep.iium.edu.my/71600/7/71600_Numerical%20investigation%20of%20semiempirical%20relations%20representing%20the%20local%20Nusselt%20number%20magnitude%20of%20a%20pin%20fin%20heat%20sink_WOS.pdf application/pdf en http://irep.iium.edu.my/71600/13/71600_Numerical%20investigation%20of%20semiempirical_scopus.pdf 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 https://onlinelibrary.wiley.com/doi/10.1002/htj.21460 10.1002/htj.21460 |
| spellingShingle | TJ163.26 Energy conservation Siddiqi, Mohammad Umar Gulhane, P. Nitin Khan, Sher Afghan Taler, Jan Cebula, Arthur Oclon, Pawel Patil, Rajesh Numerical investigation of semiempirical relations representing the local Nusselt number magnitude of a pin fin heat sink |
| title | Numerical investigation of semiempirical relations representing the local Nusselt number magnitude of a pin fin heat sink |
| title_full | Numerical investigation of semiempirical relations representing the local Nusselt number magnitude of a pin fin heat sink |
| title_fullStr | Numerical investigation of semiempirical relations representing the local Nusselt number magnitude of a pin fin heat sink |
| title_full_unstemmed | Numerical investigation of semiempirical relations representing the local Nusselt number magnitude of a pin fin heat sink |
| title_short | Numerical investigation of semiempirical relations representing the local Nusselt number magnitude of a pin fin heat sink |
| title_sort | numerical investigation of semiempirical relations representing the local nusselt number magnitude of a pin fin heat sink |
| topic | TJ163.26 Energy conservation |
| url | http://irep.iium.edu.my/71600/ http://irep.iium.edu.my/71600/ http://irep.iium.edu.my/71600/ http://irep.iium.edu.my/71600/19/71600_Numerical%20investigation%20of%20semiempirical_article.pdf http://irep.iium.edu.my/71600/7/71600_Numerical%20investigation%20of%20semiempirical%20relations%20representing%20the%20local%20Nusselt%20number%20magnitude%20of%20a%20pin%20fin%20heat%20sink_WOS.pdf http://irep.iium.edu.my/71600/13/71600_Numerical%20investigation%20of%20semiempirical_scopus.pdf |