New techniques for the direct measurement of skin friction using nematic liquid crystal layers are demonstrated. Skin friction measurements can be made using a molecular rotation time technique or an equilibrium orientation technique. A mathematical model describing the molecular dynamics of the nematic liquid crystal layer has been introduced. Theoretical results from the proposed mathematical model are in excellent agreement with the current experimental measurements. It is thus demonstrated that the present model captures the essential physics of the nematic liquid crystal measurement techniques. Estimates based on the variance of the liquid crystal calibration data indicate that skin friction measurements to within ±4 percent should certainly be possible. The techniques offer the considerable advantage of simplicity, without any compromise on the accuracy, relative to other surface shear stress measurement techniques. The full surface measurement capacity of the equilibrium orientation technique is demonstrated by measuring the skin friction distribution around a cylindrical obstruction in a fully developed laminar flow.

1.
Bandyopadhyay
P. R.
, and
Weinstein
L. M.
,
1991
, “
A Reflection-Type Oil-Film Skin-Friction Meter
,”
Experiments in Fluids
, Vol.
11
, pp.
281
292
.
2.
Bonnet
P.
,
Jones
T. V.
, and
McDonnel
D. G.
,
1989
, “
Shear-Stress Measurement in Aerodynamic Testing Using Cholesteric Liquid Crystals
,”
Liquid Crystals
, Vol.
6
, No.
3
, pp.
271
280
.
3.
Carslaw, H. S., and Jaeger, J. C., 1959, Conduction of Heat in Solids, 2nd ed., Oxford University Press.
4.
Fernholz
H. H.
,
Janke
G.
,
Schober
M.
,
Wagner
P. M.
, and
Warnack
D.
,
1996
, “
New Developments and Applications of Skin-Friction Measuring Techniques
,”
Meas. Sci. Technol.
, Vol.
7
, pp.
1396
1409
.
5.
Hanratty, T. J., and Campbell, J. A., 1996, “Measurement of Wall Shear Stress,” in: R. J. Goldstein, ed., Fluid Mechanics Measurements, 2nd ed., Taylor and Francis, Washington, DC, pp. 575–648.
6.
Jones, T. V., 1992, “The Use of Liquid Crystals in Aerodynamic and Heat Transfer Testing,” in: J. A. Reizes, ed., Transport Phenomena in Heat and Mass Transfer, Vol. 2, Elsevier, Amsterdam, pp. 1242–1273.
7.
Jones, T. V., and Walton, T. W., 1991, “Reynolds Analogy in Film Cooling,” Proc. 10th Int. Symp. On Air Breathing Engines, pp. 1263–1268.
8.
Marshakov
A. V.
,
Schetz
J. A.
, and
Kiss
T.
,
1996
, “
Direct Measurement of Skin Friction in a Turbine Cascade
,”
J. Propulsion and Power
, Vol.
12
, No.
2
, pp.
245
249
.
9.
Reda
D. C.
,
Muratore
J. J.
, and
Heineck
J. T.
,
1994
, “
Time and Flow-Direction Responses of Shear-Stress-Sensitive Liquid Crystal Coatings
,”
AIAA J.
, Vol.
32
, No.
4
, pp.
693
700
.
10.
Reda
D. C.
, and
Muratore
J. J.
,
1994
, “
Measurement of Shear Stress Vectors Using Liquid Crystal Coatings
,”
AIAA J.
, Vol.
32
, No.
8
, pp.
1576
1582
.
11.
Reda, D. C., Wilder, M. C., Farina, D. J., Zilliac, G., McCabe, R. K., Lehman, J. R., Hu, K. C., Whitney, D. J., and Deardorff, D. G., 1996, “Areal Measurements of Surface Shear Stress Vector Distributions Using Liquid Crystal Coatings,” AIAA Paper No. 96-0420.
12.
Streeter, V. L., and Wylie, E. B., 1981, Fluid Mechanics, 1st SI metric edition, McGraw-Hill, Singapore.
13.
Tanner
L. H.
, and
Blows
L. G.
,
1976
, “
A Study of the Motion of Oil Films on Surfaces in Air Flow, With Application to the Measurement of Skin Friction
,”
J. Physics E: Sci. Instr.
, Vol.
9
, No.
3
, pp.
194
202
.
14.
Walton, T. W., 1990, “Shear Induced Twist in Nematic Liquid Crystals,” Department of Engineering Science Report, University of Oxford, Apr.
15.
Wang
Z.
,
Ireland
P. T.
,
Jones
T. V.
, and
Davenport
R.
,
1996
, “
A Color Image Processing System for Transient Liquid Crystal Heat Transfer Experiments
,”
ASME JOURNAL OF TURBOMACHINERY
, Vol.
118
, pp.
421
432
.
16.
White, F. M., 1991, Viscous Fluid Flow, 2nd ed., McGraw-Hill, New York.
17.
Winter
K. G.
,
1977
, “
An Outline of Techniques Available for the Measurement of Skin Friction in Turbulent Boundary Layers
,”
Prog. Aerospace Sci.
, Vol.
18
, pp.
1
57
.
This content is only available via PDF.
You do not currently have access to this content.