Axial heat conduction effects in the entrance region of circular ducts

Heat and Mass Transfer/Waerme- und Stoffuebertragung

Volumn 45, Issue 3, 2009, Pages 331-341

  Haji Sheikh, A ^a   Beck, J V ^b   Amos, Donald E ^c  

^a University of Texas at Arlington   (United States)

^b Michigan State University   (United States)

^c SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HEAT FLUX; HEATING EQUIPMENT; VEHICULAR TUNNELS;

ASYMPTOTIC SOLUTIONS; AXIAL CONDUCTIONS; AXIAL HEAT CONDUCTIONS; CIRCULAR DUCTS; ENTRANCE REGIONS; EXACT SOLUTIONS; SERIES SOLUTIONS; WALL HEAT FLUXES; WALL TEMPERATURES;

HEAT CONDUCTION;

EID: 57049189131     PISSN: 09477411     EISSN: 14321181     Source Type: Journal    
DOI: 10.1007/s00231-008-0432-2     Document Type: Article

References (25)

1. A Haji-Sheikh DE Amos JV Beck 2008 Axial heat conduction in a moving semi-infinite fluid Int J Heat Mass Transf 51 19-20 4651 4658
2. J Lahjomr A Oubarra 1999 Analytical colution of the Graetz problem with axial conduction ASME J Heat Transf 121 4 1078 1083
3. E Magyari A Barletta 2007 Analytical series solution for the fully developed forced convection duct flow with frictional heating and variable viscosity Heat Mass Transf 44 2 251 259
4. Kays WM, Perkin ME (1973) Forced convection, internal flow in ducts, Sect. 7. In: Rohsenow WM, Hartnett JP (eds) Handbook of heat transfer. McGraw-Hill, New York
5. Shah RK, London AL (1978) Laminar flow forced convection in ducts, supplement 1 to advances in heat transfer. Academic Press, New York
6. Kays WM, Crawford HC (1993) Convective heat and mass transfer, 3rd edn. edn. McGraw-Hill, New York
7. Burmeister LC (1993) Convective heat transfer, 2nd edn. edn. Wiley, New York
8. Bejan A (1982) Convection heat transfer, 2nd edn. edn. Wiley, New York
9. DK Hennecke 1968 Heat transfer by Hage-Poiseuille flow in the thermal development region with axial conduction Warme-und Stoffubertragung 1 3 177 184
10. ML Michelsen J Villadsen 1974 The Graetz problem with axial heat conduction Int J Heat Mass Transf 17 11 1391 1402
11. J Lahjomri A Oubarra A Alemany 2002 Heat transfer by laminar Hartmann flow in thermal entrance region with a step change in wall temperature: the Graetz problem extended Int J Heat Mass Transf 45 5 1127 1148
12. B Weigand D Lauffer 2004 The extended Graetz problem with piecewise constant wall temperature for pipe and channel flows Int J Heat Mass Transf 47 22 5303 5312
13. D Lelea 2007 The conjugate heat transfer of the partially heated microchannels Heat Mass Transf 44 1 33 41
14. I Tiselj G Hetsroni B Mavko A Mosyak E Pogrebnyak Z Segal 2004 Effect of axial conduction on the heat transfer in micro-channels Int J Heat Mass Transf 47 12-13 2551 2565
15. L Erbay M Yalçin M Ercan 2007 Entropy generation in parallel plate microchannels Heat Mass Transf 43 8 729 739
16. A Silva Telles EM Queiroz G Elmôr Filho 2001 Solutions of sxtended Graetz problem Int J Heat Mass Transf 44 2 471 483
17. PP Volko 2005 Solution of the Graetz-Brinkman problem with the Laplace transform Galerkin Method Int J Heat Mass Transf 48 9 1874 1882
18. WJ Minkowycz A Haji-Sheikh 2006 Heat transfer in parallel-plate and circular porous passages with axial conduction Int J Heat Mass Transf 49 13-14 2381 2390
19. AV Kuznetsov DA Nield M Xiong 2003 Thermally developing forced convection in a porous medium: circular ducts with walls at constant temperature, with longitudinal conduction and viscous dissipation effects Transp Porous Med 53 3 331 345
20. DA Nield AV Kuznetsov M Xiong 2003 Thermally developing forced convection in a porous medium: parallel plate channel with walls at uniform temperature, with axial conduction and viscous dissipation effects Int J Heat Mass Transf 46 4 643 651
21. Wolfram S (2005) The mathematica book, 5th edn. edn. Cambridge University press, Cambridge
22. Bird RB, Stewart WE, Lightfoot EN (1960) Transport phenomena. Wiley, New York
23. A Campo CH Amón 2005 Attributes of a derived differential/ difference energy equation within the platform of the Lévêque problem Heat Mass Transf 41 7 577 582
24. A Haji-Sheikh 2004 Estimation of average and local heat transfer in parallel plate and circular ducts filled with porous materials J Heat Transf 126 3 400 409
25. A Haji-Sheikh JV Beck 2007 Entrance effect on heat transfer to laminar flow through passages Int J Heat Mass Transf 50 17 3340 3350