Sarah M. Coulthard
Ralph J. Volino
e-mail: volino@usna.edu
Karen A. Flack
Department of Mechanical Engineering,
United States Naval Academy,
Annapolis, Maryland 21402
Effect of Unheated Starting
Lengths on Film Cooling
Experiments
The effect of an unheated starting length upstream of a row of film cooling holes was
studied experimentally to determine its effect on heat transfer coefficients downstream of
the holes. Cases with a single row of cylindrical film cooling holes inclined at 35 deg to
the surface of a flat plate were considered at blowing ratios of 0.25, 0.5, 1.0, and 1.5. For
each case, experiments were conducted to determine the film-cooling effectiveness and
the Stanton number distributions in cases with the surface upstream of the holes heated
and unheated. Measurements were made using an infrared camera, thermocouples, and
hot and cold-wire anemometry. Ratios were computed of the Stanton number with film
cooling St
f
to corresponding Stanton numbers in cases without film cooling St
o
, but
the same surface heating conditions. Contours of these ratios were qualitatively the same
regardless of the upstream heating conditions, but the ratios were larger for the cases
with a heating starting length. Differences were most pronounced just downstream of the
holes and for the lower blowing rate cases. Even 12 diameters downstream of the holes,
the Stanton number ratios were 10–15% higher with a heated starting length. At higher
blowing rates the differences between the heated and unheated starting length cases were
not significant. The differences in Stanton number distributions are related to jet flow
structures, which vary with blowing rate. DOI: 10.1115/1.2184355
Introduction
Film cooling has been studied extensively in order to provide
improved cooling of the airfoils in gas turbine engines and thus
increase the life of the airfoils and allow for higher turbine inlet
temperatures. Both the film cooling effectiveness and the enhance-
ment of the heat transfer coefficient caused by the film cooling
jets are of interest. Many studies have been done using simple flat
plate geometries to gain more insight into the physics of the prob-
lem. To determine the heat transfer coefficient, surface heaters are
typically used to provide a known uniform heat flux at the plate
surface. Most of the previous flat plate experimental studies of
heat transfer coefficients with film cooling have included an un-
heated starting length, with heaters only located downstream of
the film cooling holes. An unheated starting length will result in a
thinner thermal boundary layer and higher heat transfer. It is typi-
cally assumed that the ratio, h
f
/ h
o
, of the heat transfer coefficient
with film cooling to the heat transfer coefficient in a similar flow
without film cooling and the same surface heating will not be
greatly affected by the presence of an unheated starting length.
Examples of studies with unheated starting lengths include Sen et
al. 1 and Schmidt and Bogard 2. Although it is certainly plau-
sible that an unheated starting length will affect a film cooled and
uncooled boundary layer similarly, there is surprisingly little veri-
fication of the assumption in the literature. Mayhew et al. 3
conducted experiments in a facility with a heated region upstream
of the film cooling holes. They compared their results to data from
similar studies with unheated starting lengths and attributed dif-
ferences observed in heat transfer coefficient ratios to unheated
starting length effects. The heat transfer ratios were larger in the
heated starting length cases. Mayhew et al. 3 noted that since the
thermal boundary layer is thicker in these cases, the film cooling
flow may have more of an opportunity to disturb the thermal
boundary layer and increase heat transfer. The only known study
of unheated starting length effects is by Kelly and Bogard 4.
They considered full coverage film cooling on a flat plate with
normal injection, presenting heat transfer coefficient ratios at three
streamwise locations downstream of the first row of holes for one
of their cases. At x =2D, directly downstream of the holes, h
f
/ h
o
was 30% higher with a heated starting length than with an un-
heated starting length. At x =4D downstream of the holes, the
effect was reduced, and by x =10D downstream of the holes the
heated and unheated starting length cases were indistinguishable.
At the midspan between adjacent holes, the unheated starting
length had no effect on h
f
/ h
o
. No experimental results appear to
be available in the literature for other geometries.
In the present study, heaters were placed on the surface of a
plate upstream, downstream, and between the holes in a single
row of film cooling holes. Tests were run with only the down-
stream heaters on, with the upstream and downstream heaters on,
and, finally, with all the heaters on to determine the effect of the
earlier start of the thermal boundary layer. The film cooling ge-
ometry consisted of a single row of five round holes inclined at
35 deg to the surface and parallel to the streamwise direction. The
holes were spaced 3D apart, center to center, with a length-to-
diameter ratio L / D = 4. The geometry matches that used by Burd
and Simon5, Gritsch et al. 6, Kohli and Bogard 7, Sinha et al.
8, and Pietrzyk et al. 9. It is similar to that used by Mayhew et
al. 3, who used a 30 deg injection angle. Blowing ratios of 0.25,
0.5, 1.0, and 1.5 were investigated.
Experimental Facilities and Techniques
Experiments were conducted with an open loop subsonic wind
tunnel with a test plate attached at the exit and a plenum to supply
the film cooling jets. The wind tunnel, shown in Fig. 1, was com-
prised of six sections: a blower, a diffuser with three screens, a
heat exchanger to maintain air nominally at 20° C, a honeycomb,
a settling chamber with three screens, and a nozzle with an 8.8
area reduction. The nozzle exit area is 0.38 m 0.10 m. The ex-
iting mainstream air was uniform in temperature and velocity to
within 0.1° C and 1%, respectively. The freestream turbulence in-
tensity at the nozzle exit was 1%. This value is lower than typical
intensity levels in an engine, which will depend on the location in
Contributed by the Turbomachinery Division of ASME for publication in the
JOURNAL OF TURBOMACHINERY. Manuscript received December 19, 2005; final manu-
script received January 16, 2006. Review conducted by D. Wisler.
Journal of Turbomachinery JULY 2006, Vol. 128 / 579 Copyright © 2006 by ASME