Transp Porous Med (2011) 89:165–183
DOI 10.1007/s11242-011-9763-4
Nanofins as a Means of Enhancing Heat Transfer:
Leading Order Results
Peter Vadasz
Received: 29 September 2010 / Accepted: 5 April 2011 / Published online: 21 April 2011
© Springer Science+Business Media B.V. 2011
Abstract The porous media approach is being adapted to a system of nanoparticles that
are attached to a solid surface (a metal wire) embedded into a stagnant fluid, forming by
design nanofins around the wire. The analyzed system resembles the Transient Hot Wire
experimental method used in evaluating the thermal conductivity of a fluid or nanofluid sus-
pensions. Since the attachment of the nanoparticles to the wire is done by design (as distinct
from uncontrolled agglomeration around the wire), one major objective in such a design is
attempting to enhance the heat transfer from the wire. The latter objective is analyzed via
a short times approximation of the solution. Preliminary results based on the leading order
solution shows that such a heat transfer enhancement is indeed possible and presents major
advantages compared to commonly used macro-fins.
Keywords Nanofins · Transient hot wire · Porous media · Nanofluids ·
Effective thermal conductivity
List of Symbols
Variables
A Cross sectional area of the wire (m
2
)
A
sf
Solid–fluid interface heat transfer area (m
2
)
c
p
Fluid’s specific heat for the single phase (J/kg K) (dimensional)
c
p,f
, c
s
Fluid and solid phases specific heat, respectively (J/kg K) (dimensional)
E i Exponential integral function
P. Vadasz (B )
Department of Mechanical Engineering, Northern Arizona University, P. O. Box 15600,
Flagstaff, AZ 86001, USA
e-mail: peter.vadasz@nau.edu
P. Vadasz
Faculty of Engineering, University of KZ Natal, Durban 4041, South Africa
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