Local heat transfer on a finite width surface with laminar boundary layer flow
The effect of a lateral discontinuity in the thermal boundary conditions in two dimensional laminar flow on a flat plate is investigated with numerical and analytical modeling. When the thermal and momentum boundary layers start at the same location, the resulting self-similar two dimensional bounda...
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| Published in | Applied thermal engineering Vol. 101; pp. 686 - 692 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
25.05.2016
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| Subjects | |
| Online Access | Get full text |
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| Abstract | The effect of a lateral discontinuity in the thermal boundary conditions in two dimensional laminar flow on a flat plate is investigated with numerical and analytical modeling. When the thermal and momentum boundary layers start at the same location, the resulting self-similar two dimensional boundary layer equations were solved numerically. For flow with an unheated starting length, three dimensional numerical simulations were required. For both the two and three dimensional thermal simulations, the Blasius solution for a two dimensional momentum boundary layer was assumed. It is found that all the Nusselt numbers collapse to a single curve when graphed as a function of a spanwise similarity variable. Simple correlations for the local Nusselt number on a rectangular flat plate are presented for a variety of boundary conditions. |
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| AbstractList | The effect of a lateral discontinuity in the thermal boundary conditions in two dimensional laminar flow on a flat plate is investigated with numerical and analytical modeling. When the thermal and momentum boundary layers start at the same location, the resulting self-similar two dimensional boundary layer equations were solved numerically. For flow with an unheated starting length, three dimensional numerical simulations were required. For both the two and three dimensional thermal simulations, the Blasius solution for a two dimensional momentum boundary layer was assumed. It is found that all the Nusselt numbers collapse to a single curve when graphed as a function of a spanwise similarity variable. Simple correlations for the local Nusselt number on a rectangular flat plate are presented for a variety of boundary conditions. |
| Author | Gori, F. Taliaferro, M.E. Angelino, M. Goldstein, R.J. |
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| CitedBy_id | crossref_primary_10_1016_j_ijthermalsci_2018_03_009 crossref_primary_10_1016_j_ijheatmasstransfer_2023_123861 crossref_primary_10_1115_1_4049514 crossref_primary_10_1021_acsomega_9b00176 crossref_primary_10_1016_j_ijheatmasstransfer_2016_03_091 crossref_primary_10_1016_j_ijthermalsci_2022_107924 crossref_primary_10_1016_j_icheatmasstransfer_2023_106929 crossref_primary_10_1016_j_applthermaleng_2020_115705 crossref_primary_10_1016_j_ijheatmasstransfer_2019_04_016 crossref_primary_10_2514_1_J059481 crossref_primary_10_1016_j_jtherbio_2017_03_013 crossref_primary_10_1115_1_4037497 crossref_primary_10_1016_j_applthermaleng_2021_116817 |
| Cites_doi | 10.1016/0026-2714(72)90704-4 10.1115/1.1569507 10.1038/39827 10.4314/ijest.v6i2.3 10.1002/aic.690180606 10.1115/1.1569506 10.2514/2.6595 10.1016/0017-9310(85)90216-9 |
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| Keywords | Forced convection Nusselt number Finite lateral span Electronic cooling Laminar |
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| References | Hauptmann, Rotem (bib0045) 1967; 2 Kays, Crawford, Weigand (bib0040) 2004 Baker (bib0010) 1972; 11 Bhowmik (bib0025) 2014; 6 Ortega, Ramanathan (bib0030) 2003; 125 Churchill, Usagi (bib0055) 1972; 18 Ramadhyani, Moffatt, Incropera (bib0015) 1985; 28 Deegan, Bakajin, Dupont, Huber, Nagel, Witten (bib0060) 1997; 389 Ortega, Ramanathan (bib0020) 2003; 125 Ozisik (bib0050) 1993 Yovanovich, Teertstra (bib0035) 2001; 15 Yovanovich (10.1016/j.applthermaleng.2016.01.030_bib0035) 2001; 15 Ortega (10.1016/j.applthermaleng.2016.01.030_bib0020) 2003; 125 Ramadhyani (10.1016/j.applthermaleng.2016.01.030_bib0015) 1985; 28 Churchill (10.1016/j.applthermaleng.2016.01.030_bib0055) 1972; 18 Ortega (10.1016/j.applthermaleng.2016.01.030_bib0030) 2003; 125 Kays (10.1016/j.applthermaleng.2016.01.030_bib0040) 2004 Hauptmann (10.1016/j.applthermaleng.2016.01.030_bib0045) 1967; 2 Baker (10.1016/j.applthermaleng.2016.01.030_bib0010) 1972; 11 Ozisik (10.1016/j.applthermaleng.2016.01.030_bib0050) 1993 Bhowmik (10.1016/j.applthermaleng.2016.01.030_bib0025) 2014; 6 Deegan (10.1016/j.applthermaleng.2016.01.030_bib0060) 1997; 389 |
| References_xml | – volume: 18 start-page: 1121 year: 1972 end-page: 1128 ident: bib0055 article-title: A general expression for the correlation of rates of transfer and other phenomena publication-title: AIChE J. contributor: fullname: Usagi – volume: 125 start-page: 226 year: 2003 end-page: 234 ident: bib0030 article-title: On the use of point source solutions for forced air cooling of electronic components – Part 1: thermal wake models for rectangular heat sources publication-title: J. Electron. Packag contributor: fullname: Ramanathan – volume: 15 start-page: 205 year: 2001 end-page: 211 ident: bib0035 article-title: Laminar forced convection modeling of isothermal rectangular plates publication-title: J. Thermophys. Heat Transfer contributor: fullname: Teertstra – volume: 28 start-page: 1945 year: 1985 end-page: 1952 ident: bib0015 article-title: Conjugate heat transfer from small isothermal heat sources embedded in a large substrate publication-title: Int. J. Heat Mass Transf contributor: fullname: Incropera – volume: 389 start-page: 827 year: 1997 end-page: 829 ident: bib0060 article-title: Capillary flow as the cause of ring stains from fired liquid drops publication-title: Nature contributor: fullname: Witten – year: 2004 ident: bib0040 article-title: Convective Heat and Mass Transfer contributor: fullname: Weigand – volume: 11 start-page: 213 year: 1972 end-page: 222 ident: bib0010 article-title: Liquid cooling of microelectronic devices by free and forced convection publication-title: Microelectron. Reliab contributor: fullname: Baker – volume: 125 start-page: 235 year: 2003 end-page: 243 ident: bib0020 article-title: On the use of point source solutions for forced air cooling of electronic components – Part 2: conjugate forced convection from a discrete rectangular source on a thin conducting plate publication-title: J. Electron. Packag contributor: fullname: Ramanathan – year: 1993 ident: bib0050 article-title: Heat Conduction contributor: fullname: Ozisik – volume: 6 start-page: 31 year: 2014 end-page: 44 ident: bib0025 article-title: Review on convection heat transfer in channel flow with discrete heater arrays for electronic cooling publication-title: Int. J. Eng. Sci. Technol contributor: fullname: Bhowmik – volume: 2 start-page: 263 year: 1967 end-page: 264 ident: bib0045 article-title: Spanwise thermal diffusion in low Prandtl number boundary layer flow publication-title: Proc. Can. Congr. Appl. Mech contributor: fullname: Rotem – volume: 2 start-page: 263 year: 1967 ident: 10.1016/j.applthermaleng.2016.01.030_bib0045 article-title: Spanwise thermal diffusion in low Prandtl number boundary layer flow publication-title: Proc. Can. Congr. Appl. Mech contributor: fullname: Hauptmann – year: 1993 ident: 10.1016/j.applthermaleng.2016.01.030_bib0050 contributor: fullname: Ozisik – volume: 11 start-page: 213 year: 1972 ident: 10.1016/j.applthermaleng.2016.01.030_bib0010 article-title: Liquid cooling of microelectronic devices by free and forced convection publication-title: Microelectron. Reliab doi: 10.1016/0026-2714(72)90704-4 contributor: fullname: Baker – volume: 125 start-page: 235 year: 2003 ident: 10.1016/j.applthermaleng.2016.01.030_bib0020 article-title: On the use of point source solutions for forced air cooling of electronic components – Part 2: conjugate forced convection from a discrete rectangular source on a thin conducting plate publication-title: J. Electron. Packag doi: 10.1115/1.1569507 contributor: fullname: Ortega – volume: 389 start-page: 827 year: 1997 ident: 10.1016/j.applthermaleng.2016.01.030_bib0060 article-title: Capillary flow as the cause of ring stains from fired liquid drops publication-title: Nature doi: 10.1038/39827 contributor: fullname: Deegan – year: 2004 ident: 10.1016/j.applthermaleng.2016.01.030_bib0040 contributor: fullname: Kays – volume: 6 start-page: 31 year: 2014 ident: 10.1016/j.applthermaleng.2016.01.030_bib0025 article-title: Review on convection heat transfer in channel flow with discrete heater arrays for electronic cooling publication-title: Int. J. Eng. Sci. Technol doi: 10.4314/ijest.v6i2.3 contributor: fullname: Bhowmik – volume: 18 start-page: 1121 year: 1972 ident: 10.1016/j.applthermaleng.2016.01.030_bib0055 article-title: A general expression for the correlation of rates of transfer and other phenomena publication-title: AIChE J. doi: 10.1002/aic.690180606 contributor: fullname: Churchill – volume: 125 start-page: 226 year: 2003 ident: 10.1016/j.applthermaleng.2016.01.030_bib0030 article-title: On the use of point source solutions for forced air cooling of electronic components – Part 1: thermal wake models for rectangular heat sources publication-title: J. Electron. Packag doi: 10.1115/1.1569506 contributor: fullname: Ortega – volume: 15 start-page: 205 year: 2001 ident: 10.1016/j.applthermaleng.2016.01.030_bib0035 article-title: Laminar forced convection modeling of isothermal rectangular plates publication-title: J. Thermophys. Heat Transfer doi: 10.2514/2.6595 contributor: fullname: Yovanovich – volume: 28 start-page: 1945 year: 1985 ident: 10.1016/j.applthermaleng.2016.01.030_bib0015 article-title: Conjugate heat transfer from small isothermal heat sources embedded in a large substrate publication-title: Int. J. Heat Mass Transf doi: 10.1016/0017-9310(85)90216-9 contributor: fullname: Ramadhyani |
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| SubjectTerms | Electronic cooling Finite lateral span Forced convection Laminar Nusselt number |
| Title | Local heat transfer on a finite width surface with laminar boundary layer flow |
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