Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5840
Title: Analytical solution of thermally developing microtube heat transfer including axial conduction, viscous dissipation, and rarefaction effects
Authors: Barışık, Murat
Yazıcıoğlu, Almıla Güvenç
Çetin, Barbaros
Kakaç, Sadık
Keywords: Extended Graetz problem
Axial conduction
Micropipe heat transfer
Rarefaction effect
Slip flow
Viscous dissipation
Issue Date: Oct-2015
Publisher: Elsevier Ltd.
Source: Barışık, M., Yazıcıoğlu, A.G., Çetin, B., and Kakaç, S. (2015). Analytical solution of thermally developing microtube heat transfer including axial conduction, viscous dissipation, and rarefaction effects. International Communications in Heat and Mass Transfer, 67, 81-88. doi:10.1016/j.icheatmasstransfer.2015.05.004
Abstract: The solution of extended Graetz problem for micro-scale gas flows is performed by coupling of rarefaction, axial conduction and viscous dissipation at slip flow regime. The analytical coupling achieved by using Gram-Schmidt orthogonalization technique provides interrelated appearance of corresponding effects through the variation of non-dimensional numbers. The developing temperature field is determined by solving the energy equation locally together with the fully developed flow profile. Analytical solutions of local temperature distribution, and local and fully developed Nusselt number are obtained in terms of dimensionless parameters: Peclet number, Knudsen number, Brinkman number, and the parameter Kappa accounting temperature-jump. The results indicate that the Nusselt number decreases with increasing Knudsen number as a result of the increase of temperature jump at the wall. For low Peclet number values, temperature gradients and the resulting temperature jump at the pipe wall cause Knudsen number to develop higher effect on flow. Axial conduction should not be neglected for Peclet number values less than 100 for all cases without viscous dissipation, and for short pipes with viscous dissipation. The effect of viscous heating should be considered even for small Brinkman number values with large length over diameter ratios. For a fixed Kappa value, the deviation from continuum increases with increasing rarefaction, and Nusselt number values decrease with an increase in Knudsen number.
URI: https://doi.org/10.1016/j.icheatmasstransfer.2015.05.004
http://hdl.handle.net/11147/5840
ISSN: 0735-1933
0735-1933
Appears in Collections:Mechanical Engineering / Makina Mühendisliği
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Files in This Item:
File Description SizeFormat 
5840.pdfMakale846.5 kBAdobe PDFThumbnail
View/Open
Show full item record



CORE Recommender

SCOPUSTM   
Citations

27
checked on Feb 16, 2024

WEB OF SCIENCETM
Citations

24
checked on Jan 20, 2024

Page view(s)

562
checked on Feb 23, 2024

Download(s)

206
checked on Feb 23, 2024

Google ScholarTM

Check




Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.