Fluid flow in microtubes with axial conduction including rarefaction and viscous dissipation

Cetin, Barbaros
Güvenç Yazıcıoğlu, Almıla
Graetz problem inside the microtube is revisited considering rarefaction effect, viscous dissipation term and axial conduction in the fluid for uniform wall temperature boundary condition in the slip flow regime. The flow is assumed to be hydrodynamically fully developed, thermally developing, and the velocity profile is solved analytically. The temperature field is determined by the numerical solution of the energy equation. The rarefaction effect is imposed to the problem via velocity-slip and temperature jump boundary conditions. The local and fully developed Nu numbers are obtained in terms of dimensionless parameters; Pe, Kn, Br, K. Fully developed Nu numbers and the thermal entrance length are found to increase by the presence of the finite axial conduction.


Slip-flow heat transfer in microtubes with axial conduction and viscous dissipation - An extended Graetz problem
Cetin, Barbaros; Güvenç Yazıcıoğlu, Almıla; KAKAÇ, SADIK (Elsevier BV, 2009-09-01)
This study is an extension of the Graetz problem to include the rarefaction effect, viscous dissipation term and axial conduction with constant-wall-heat-flux thermal boundary condition. The energy equation is solved analytically by using general eigenfunction expansion. The temperature distribution and the local Nusselt number are determined in terms of confluent hypergeometric functions. The effects of the rarefaction, axial conduction and viscous dissipation on the local Nusselt number are discussed in t...
Analytical solution of thermally developing microtube heat transfer including axial conduction, viscous dissipation, and rarefaction effects
Barışık, Murat; Yazıcıoğlu, Almıla Güvenç; Çetin, Barbaros; Kakaç, Sadık (Elsevier BV, 2015-10)
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 solutio...
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The absorption of whistler waves in a magnetized cylindrical plasma due to coupling with oblique Langmuir waves is investigated. Two types of mechanisms exist for whistler absorption. The first one is related to the excitation of Langmuir waves in the volume of the dense plasma and their subsequent absorption due to the electron collisions. The second one is the emission of Langmuir waves outside of the cylindrical plasma when it is surrounded by the rare plasma. The relation between these whistler absorpti...
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The optoelectronic properties of Bridgman method-grown Ga(4)Se(3)S single crystals have been investigated by means of room temperature electrical resistivity, temperature-dependent photosensitivity and temperature-dependent optical absorption. The photosensitivity was observed to increase with decreasing temperature, the illumination dependence of which was found to exhibit monomolecular recombination in the bulk at 300 K. The absorption coefficient, which was calculated in the incident photon energy range ...
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Citation Formats
B. Cetin, A. Güvenç Yazıcıoğlu, and S. KAKAÇ, “Fluid flow in microtubes with axial conduction including rarefaction and viscous dissipation,” INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, pp. 535–544, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40347.