Convective heat transfer in rotating disk systems is of great importance in many engineering applications. Despite the high practical relevance, there have been only a small number of experimental investigations regarding the influence of the Prandtl number larger than unity. Ever since Dorfman's pioneering work more than 50 years ago, various analytical works about the heat transfer of a rotating disk have been published. However, this study is a novelty because measurements of the laminar convective heat transfer over a free rotating disk for a wide range of Prandtl number up to Pr=5000 are presented. The accuracy of the employed experimental apparatus was assessed by heat transfer measurements in air, for which reliable literature data are widely available. Natural convection effects and temperature-dependent physical properties have been taken into consideration using the property-ratio method. The experimental results are in excellent agreement with analytical self-similar solutions and the theoretical correlation of Lin and Lin. The applicability of frequently used heat transfer correlations is assessed by the means of the new experimental data.

References

1.
Dorfman
,
L. A.
,
1963
,
Hydrodynamic Resistance and the Heat Loss of Rotating Solids
,
Oliver & Boyd
,
Edinburgh, UK
.
2.
Owen
,
J. M.
,
Haynes
,
C. M.
, and
Bayley
,
F. J.
,
1974
, “
Heat Transfer From an Air-Cooled Rotating Disk
,”
Proc. R. Soc. London, Ser. A
,
336
(
1607
), pp.
453
473
.
3.
Owen
,
J.
, and
Rogers
,
R.
,
1989
,
Flow and Heat Transfer in Rotating Disc Systems
(Rotor-Stator Systems, Vol.
1
),
Research Studies Press
,
Baldock, UK
.
4.
Shevchuk
,
I. V.
,
2009
,
Convective Heat and Mass Transfer in Rotating Disk Systems
(Lecture Notes in Applied and Computational Mechanics, Vol.
45
),
Springer
,
Berlin
.
5.
aus der Wiesche
,
S.
, and
Helcig
,
C.
,
2016
,
Convective Heat Transfer From Rotating Disks Subjected to Streams of Air
(SpringerBriefs in Thermal Engineering and Applied Science),
Springer International Publishing
,
Cham, Switzerland
.
6.
Harmand
,
S.
,
Pellé
,
J.
,
Poncet
,
S.
, and
Shevchuk
,
I. V.
,
2013
, “
Review of Fluid Flow and Convective Heat Transfer Within Rotating Disk Cavities With Impinging Jet
,”
Int. J. Therm. Sci.
,
67
, pp.
1
30
.
7.
von Kármán
,
T.
,
1921
, “
Über Laminare und Turbulente Reibung
,”
ZAMM
,
1
(
4
), pp.
233
252
.
8.
Elkins
,
C. J.
, and
Eaton
,
J. K.
,
2000
, “
Turbulent Heat and Momentum Transport on a Rotating Disk
,”
J. Fluid Mech.
,
402
, pp.
225
253
.
9.
Popiel
,
C. O.
, and
Bogusawski
,
L.
,
1975
, “
Local Heat-Transfer Coefficients on the Rotating Disk in Still Air
,”
Int. J. Heat Mass Transfer
,
18
(
1
), pp.
167
170
.
10.
Dennis
,
R.
,
Newstead
,
C.
, and
Ede
,
A.
,
1970
, “
The Heat Transfer From a Rotating Disc in an Air Crossflow
,”
4th International Heat Transfer Conference
, Paris, France, Aug. 31–Sept. 5.
11.
Cobb
,
E. C.
, and
Saunders
,
O. A.
,
1956
, “
Heat Transfer From a Rotating Disk
,”
Proc. R. Soc. London, Ser. A
,
236
(
1206
), pp.
343
351
.
12.
Kreith
,
F.
,
Taylor
,
J. H.
, and
Chong
,
J. P.
,
1959
, “
Heat and Mass Transfer From a Rotating Disk
,”
ASME J. Heat Transfer
,
81
, pp.
95
105
.
13.
Levich
,
V. G.
, and
Technica
,
S.
,
1962
,
Physicochemical Hydrodynamics
, Vol.
689
,
Prentice-Hall
,
Englewood Cliffs, NJ
.
14.
Schlichting
,
H.
,
1968
,
Boundary-Layer Theory
,
McGraw-Hill
,
New York
.
15.
Lienhard
,
J. H.
,
2011
,
A Heat Transfer Textbook
, 4th ed.,
Dover Publications
,
Mineola, NY
.
16.
Sparrow
,
E. M.
, and
Gregg
,
J. L.
,
1959
, “
Heat Transfer From a Rotating Disk to Fluids of Any Prandtl Number
,”
ASME J. Heat Transfer
,
81
, pp.
249
251
.
17.
Shevchuk
,
I. V.
,
2008
, “
A New Evaluation Method for Nusselt Numbers in Naphthalene Sublimation Experiments in Rotating-Disk Systems
,”
Heat Mass Transfer
,
44
(
11
), pp.
1409
1415
.
18.
Awad
,
M. M.
,
2008
, “
Heat Transfer From a Rotating Disk to Fluids for a Wide Range of Prandtl Numbers Using the Asymptotic Model
,”
ASME J. Heat Transfer
,
130
(
1
), p.
014505
.
19.
Elkins
,
C. J.
,
1997
, “
Heat Transfer in the Rotating Disk Boundary Layer
,” Ph.D. thesis, Stanford University, Stanford, CA.
20.
Kreith
,
F.
,
1968
, “
Convection Heat Transfer in Rotating Systems
,”
Adv. Heat Transfer
,
5
, pp.
129
251
.
21.
Rosenzweig
,
M. L.
,
1959
, “
The Response of the Laminar Boundary Layer to Impulsive Motions
,” Ph.D. thesis, Cornell University, Ithaca, NY.
22.
Jaecheol
,
K.
,
2014
, “
Siemens NX 8/8.5 Surface Design: A Step by Step Guide
,” CreateSpace Independent Publishing Platform, North Charleston, SC.
23.
Childs
,
D.
,
1993
,
Turbomachinery Rotordynamics
,
Wiley
,
New York
.
24.
Mabuchi
,
I.
,
Tanaka
,
T.
, and
Sakakibara
,
Y.
,
1971
, “
Studies on the Convective Heat Transfer From a Rotating Disk: 5th Report, Experiment on the Laminar Heat Transfer From a Rotating Isothermal Disk in a Uniform Forced Stream
,”
Bull. JSME
,
14
(
72
), pp.
581
589
.
25.
Fujii
,
T.
, and
Imura
,
H.
,
1972
, “
Natural-Convection Heat Transfer From a Plate With Arbitrary Inclination
,”
Int. J. Heat Mass Transfer
,
15
(
4
), pp.
755
767
.
26.
Oosthuizen
,
P. H.
, and
Naylor
,
D.
,
1999
,
An Introduction to Convective Heat Transfer Analysis
,
McGraw-Hill
, New York.
27.
Churchill
,
S. W.
,
1977
, “
A Comprehensive Correlating Equation for Laminar, Assisting, Forced and Free Convection
,”
AIChE J.
,
23
(
1
), pp.
10
16
.
28.
Gersten
,
K.
, and
Herwig
,
H.
,
1984
, “
Impuls-und Wärmeübertragung bei variablen Stoffwerten für die laminare Plattenströmung (in German)
,”
Wärme Stoffübertragung
,
18
(
1
), pp.
25
35
.
29.
Herwig
,
H.
,
Wickern
,
G.
, and
Gersten
,
K.
,
1985
, “
Der Einfluß variabler Stoffwerte auf natürliche laminare Konvektionsströmungen (in German)
,”
Wärme Stoffübertragung
,
19
(
1
), pp.
19
30
.
30.
Cooper
,
J.
,
Ns
,
L. E.
, and
Dooley
,
R.
,
2007
, “
Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam
,”
International Association for the Properties of Water and Steam
(
IAPWS
), Lucerne, Switzerland.
31.
Miner
,
C. S.
, and
Dalton
,
N.
,
1953
,
Glycerol
, Vol.
117
,
Reinhold Publishing
,
New York
.
32.
Riedel
,
L.
,
1951
, “
Wärmeleitfähigkeitsmessungen an Mischungen verschiedener organischer Verbindungen mit Wasser (in German)
,”
Chem. Ing. Tech.
,
23
(
19
), pp.
465
469
.
33.
Cheng
,
N.-S.
,
2008
, “
Formula for the Viscosity of a Glycerol–Water Mixture
,”
Ind. Eng. Chem. Res.
,
47
(
9
), pp.
3285
3288
.
34.
Žukauskas
,
A.
,
1982
, “
Forced Convection Heat Transfer in Viscous Fluids
,”
7th International Heat Transfer Conference
, Munich, Germany, Sept. 6–12, Vol.
1
, pp.
181
193
.
35.
Trinkl
,
C. M.
,
Bardas
,
U.
,
Weyck
,
A.
, and
aus der Wiesche
,
S.
,
2011
, “
Experimental Study of the Convective Heat Transfer From a Rotating Disc Subjected to Forced Air Streams
,”
Int. J. Therm. Sci.
,
50
(
1
), pp.
73
80
.
36.
Helcig
,
C.
, and
aus der Wiesche
,
S.
,
2013
, “
The Effect of the Incidence Angle on the Flow Over a Rotating Disk Subjected to Forced Air Streams
,”
ASME
Paper No. FEDSM2013-16360.
37.
Lin
,
H.-T.
, and
Lin
,
L.-K.
,
1987
, “
Heat Transfer From a Rotating Cone or Disk to Fluids of Any Prandtl Number
,”
Int. Commun. Heat Mass Transfer
,
14
(
3
), pp.
323
332
.
You do not currently have access to this content.