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2012 (Vol. 4, Issue: 24)
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 

Key words:  Fanno flow, microchannels, navier-stokes equations, velocity-slip model, compressible flow, ,
Vol. 4 , (24): 5578-5585
Submitted Accepted Published
April 27, 2012 May 18, 2012 December 15, 2012

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.
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  Cite this Reference:
M.A. Al-Nimr, V.A. Hammoudeh, M.A. Hamdan and M.H. Es-Saheb, 2012. Fanno Flow in Microchannels.  Research Journal of Applied Sciences, Engineering and Technology, 4(24): 5578-5585.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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