Measurements of the surface tension of nanofluids and development
of a new correlation
Jabez Chinnam, Debendra K. Das
*
, Ravikanth S. Vajjha, Jagannadha R. Satti
Department of Mechanical Engineering, University of Alaska Fairbanks, P.O. Box 755905, Fairbanks, AK 99775-5905, USA
article info
Article history:
Received 13 June 2014
Received in revised form
26 June 2015
Accepted 1 July 2015
Available online xxx
Keywords:
Concentration
Nanofluids
Particle size
Propylene glycol
Surface tension
Temperature dependence
abstract
Surface tension measurements were performed on four nanofluids containing aluminum oxide (Al
2
O
3
),
zinc oxide (ZnO), titanium dioxide (TiO
2
) and silicon dioxide (SiO
2
) nanoparticles suspended in a base
fluid of 60% propylene glycol and 40% water by mass (60:40 PG/W). First, benchmark tests for the surface
tension of water were performed, for which accurate data are available in the published literature.
Measured data agreed well with the published data confirming the accuracy of the apparatus, as well as
the experimental procedure. Following the benchmark tests, measurements were performed on nano-
fluids over a temperature range of 30
C to 70
C for particle volumetric concentrations ranging from 0 to
6 % and particle sizes in the range of 15e50 nm. From the experimental data, it was observed that the
surface tension of nanofluids decreased with an increase in temperature. At a constant temperature, an
increase in the particle volumetric concentration of a nanofluid caused a decrease in the surface tension.
For nanofluids at fixed volumetric concentration and temperature, the surface tension was found to be
lower for smaller particle sizes except the ZnO nanofluid. A statistical analysis performed on the
experimental data yielded a single correlation valid for all the nanofluids tested. This surface tension
correlation is a function of temperature, volumetric concentration and the size of the nanoparticles,
which predicts results successfully with an average deviation of 2.6% from the measured values.
© 2015 Elsevier Masson SAS. All rights reserved.
1. Introduction
Surface tension is a force between molecules that develops at
the interface between two immiscible fluids and lies on the plane of
the interface. As discussed by White [1], at a gaseliquid interface,
molecules deep within the liquid repel each other due to their close
packing. But, molecules at the surface are less dense and attract
each other. At the gaseliquid interface, the upper half of the
neighbors of liquid molecules are missing, with the net effect that
the interface experiences tension and behaves as a stretched
membrane. This intermolecular force of attraction between adja-
cent molecules is also regarded as the surface energy per unit area
of interface expressed in the unit N.m/m
2
. Traditionally, surface
tension is expressed in force per unit length, as milliNewtons/meter
or dynes/centimeter. Detailed studies of the phenomena at inter-
facial surfaces are presented by Adamson [2]. Generally, the surface
tension results available in the literature are for pure liquids.
However, when particles are introduced into the liquid the surface
tension gets affected, because particles introduce changes at the
molecular level. Research has shown that the addition of particles,
chemical or surfactant will change the surface tension. The most
common measurements of surface tension widely listed in the
literature are for the liquideair interface. In this paper we present
surface tension measurements for different types of nanofluideair
interfaces. The surface tension plays an important role in many heat
transfer applications, particularly in boiling and condensation,
where bubbles are formed creating interfaces between the liquid
and the vapor.
1.1. Boiling heat transfer coefficient enhancement
The nucleate boiling is a desirable boiling regime for designing
heat transfer equipment. The heat transfer coefficient h under this
regime depends on several thermophysical properties listed in Eq.
(1) described in Bergman et al. [3].
h ¼ f
h
DT ; gðr
l
r
v
Þ; h
fg
; g; L; r; c
p
; k; m
i
(1)
* Corresponding author.
E-mail address: dkdas@alaska.edu (D.K. Das).
Contents lists available at ScienceDirect
International Journal of Thermal Sciences
journal homepage: www.elsevier.com/locate/ijts
http://dx.doi.org/10.1016/j.ijthermalsci.2015.07.008
1290-0729/© 2015 Elsevier Masson SAS. All rights reserved.
International Journal of Thermal Sciences 98 (2015) 68e80