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Technical Briefs

Solution of Thermally Developing Zone in Short Micro-/Nanoscale Channels

[+] Author and Article Information
Masoud Darbandi1

Department of Aerospace Engineering, Sharif University of Technology, P. O. Box 11365-8639, Tehran, Irandarbandi@sharif.edu

Shidvash Vakilipour

Department of Aerospace Engineering, Sharif University of Technology, P. O. Box 11365-8639, Tehran, Iransvakilipour@alum.sharif.edu

1

Corresponding author.

J. Heat Transfer 131(4), 044501 (Feb 11, 2009) (5 pages) doi:10.1115/1.3072908 History: Received March 16, 2008; Revised October 19, 2008; Published February 11, 2009

We numerically solve the Navier–Stokes equations to study the rarefied gas flow in short micro- and nanoscale channels. The inlet boundary conditions play a critical role in the structure of flow in short channels. Contrary to the classical inlet boundary conditions, which apply uniform velocity and temperature profiles right at the real channel inlet, we apply the same inlet boundary conditions, but at a fictitious position far upstream of the real channel inlet. A constant wall temperature incorporated with suitable temperature jump is applied at the channel walls. Our solutions for both the classical and extended inlet boundary conditions are compared with the results of other available Navier–Stokes and lattice Boltzmann solvers. It is shown that the current extended inlet boundary conditions can effectively improve the thermofluid flow solutions in short micro- and nanoscale channels.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

The current (a) axial velocity and (b) temperature profiles at four locations in a channel and comparison with the lattice Boltzmann solutions (8), Re=0.01 and Kn=0.015

Grahic Jump Location
Figure 2

The (a) friction factor and (b) Nusselt number distributions in a short channel and comparing them with the results of Niu (8) and Kavehpour (1), Re=0.01 and 10 and Knin=0.015

Grahic Jump Location
Figure 3

The (a) friction factor and (b) Nusselt number distributions in a short channel applying various inlet Knudsen numbers, Re=1

Grahic Jump Location
Figure 4

The (a) friction factor and (b) Nusselt number distributions in a short channel with Re=1 and 10 and Knin=0.015

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