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Abstract
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Article Information:
Fanno Flow in Microchannels
M.A. Al-Nimr, V.A. Hammoudeh, M.A. Hamdan and M.H. Es-Saheb
Corresponding Author: M.A. Al-Nimr
Submitted: April 27, 2012
Accepted: May 18, 2012
Published: December 15, 2012 |
Abstract:
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In this study, the Fanno flow problem has been theoretically investigated using both, first order and
second order velocity-slip boundary conditions models and then compared to the no-slip boundary conditions
solution. The objective is to study the behavior of the flow predicted by the two slip models. Then, an attempt
will be made to establish criteria for using the no-slip and the two velocity-slip models. The Fanno flow is an
ideal gas adiabatic flow in constant area duct with friction. It is found that the velocity profile for the two
velocity-slip models has the same shape as the no-slip model velocity profile but with an amount of slip at the
wall which increases as the Knudsen number, Kn, increases. Also the effect of the slip has on the compressible
flow characteristics have been examined. It shows that as the Kn increases, the skin friction coefficient Cf and
the Darcy friction coefficient f decrease. Overall, it is concluded that for an adiabatic compressible flow in
circular microchannel, for Kn≤0.01 there is no need to apply any velocity-slip model as the no-slip model gives
sufficiently accurate predictions. As for the range 0.01≤Kn≤0.1, the first order velocity slip model should be
applied and so for this range, there is no necessity to use the second order velocity-slip model.
Key words: Fanno flow, microchannels, navier-stokes equations, velocity-slip model, compressible flow, ,
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Cite this Reference:
M.A. Al-Nimr, V.A. Hammoudeh, M.A. Hamdan and M.H. Es-Saheb, . Fanno Flow in Microchannels. Research Journal of Applied Sciences, Engineering and Technology, (24): 5578-5585.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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