*Currently at the Naval Surface Warfare Center, Philadelphia, PA
ROW REMOVAL HEAT TRANSFER STUDY
FOR PIN FIN ARRAYS
Kathryn L. Kirsch, Jason K. Ostanek* and Karen A. Thole Eleanor Kaufman
Pennsylvania State University Pratt and Whitney
Mechanical and Nuclear Engineering Department 400 Main Street
University Park, PA 16802 East Hartford, CT 06108
ABSTRACT
Arrays of variably-spaced pin fins are used as a
conventional means to conduct and convect heat from internal
turbine surfaces. The most common pin shape for this purpose
is a circular cylinder. Literature has shown that beyond the first
few rows of pin fins, the heat transfer augmentation in the array
levels off and slightly decreases. This paper provides
experimental results from two studies seeking to understand the
effects of gaps in pin spacing (row removals) and alternative
pin geometries placed in these gaps. The alternative pin
geometries included large cylindrical pins and oblong pins with
different aspect ratios. Results from the row removal study at
high Reynolds number showed that when rows four through
eight were removed, the flow returned to a fully-developed
channel flow in the gap between pin rows. When larger
alternative geometries replaced the fourth row, heat transfer
increased further downstream into the array.
INTRODUCTION
In the hot section of a gas turbine engine, gas path
temperatures far surpass each component’s melting
temperature. Consequently, advanced cooling schemes are
necessary to maintain the functional lifetime of the component
and are integral in extending these lifetimes as engine designs
progress. Cooling schemes are present on the exterior of
components as well as in internal passages. Internal cooling
can take numerous forms but in areas where structural support,
in addition to high heat removal is necessary, pin fin arrays are
commonly employed. Pin fins in this paper refer to pins that
extend across the entire channel; note that many also refer to
these features as pedestals. The addition of pin fins into the
flow induces vortices at the pin base as well as increases the
amount of surface area over which heat transfer can take place.
The typical pin fin shape is a circular cylinder; much research
has focused on the spacing variations of such pin fins and has
reported on both row-averaged and overall array heat transfer.
A consistent finding from these previous studies is that a peak
in heat transfer augmentation is seen near the third row of pins
[1–4], depending on the streamwise spacing of the pins.
Beyond this peak, a leveling off or even a slow decay in heat
transfer augmentation is reported.
For these studies, a baseline configuration of sixteen rows
of pin fins was studied at two different Reynolds numbers.
This paper seeks to accomplish the following: understand
changes in heat transfer when there is a gap in the pin fin array
by removing a particular row; and understand the changes in
augmentation when a row of alternatively-shaped pin fins is
inserted into the gap.
NOMENCLATURE
A
c
pin cross sectional area
A
wet
wetted area
D pin diameter
D
h
hydraulic diameter
f Fanning friction factor
f
0
fully developed, smooth passage Fanning friction
factor,
f
0
= (0.078)Re
Dh
-0.25
[5]
h heat transfer coefficient
H pin fin height
k air thermal conductivity
k
p
pin thermal conductivity
L length of pin fin array, length of oblong pin
m fin eigenvalue,
[6]
N
pins
number of pins in array
N
rows
number of pin rows
Nu
Dh
duct Nusselt number, Nu
Dh
= hD
h
k
-1
Nu
0
fully developed, smooth passage Nusselt number,
Nu
0
= 0.023Re
Dh
0.8
Pr
0.4
[7]
p static pressure
p
0
static pressure in unobstructed duct
P perimeter of pin
q
in
heat dissipated by foil heaters
1 Copyright © 2014 by ASME
Proceedings of ASME Turbo Expo 2014: Turbine Technical Conference and Exposition
GT2014
June 16 – 20, 2014, Düsseldorf, Germany
GT2014-25348