This paper reports experimental measurements of film thickness for continuous fluid flow on the internal surface of a cone rotating about a vertical axis. Measurements were obtained via an optical method based on photographing the displacement of a grid projected onto the surface of the flow within the cone. Results are compared to analytical theory for axisymmetric, steady state, free-surface laminar flow of a Newtonian fluid in a spinning cone. The theory assumes that the flow is thin but takes account of gravity. The theoretical model is found to be in good agreement with the experimental results.

References

References
1.
Bruin
,
S.
,
1969
, “
Velocity Distributions in a Liquid Film Flowing Over a Rotating Conical Surface
,”
Chem. Eng. Sci.
,
24
(
11
), pp.
1647
1654
.10.1016/0009-2509(69)87029-6
2.
Makarytchev
,
S. V.
,
Xue
,
E.
,
Langrish
,
T. A. G.
, and
Prince
,
R. G. H.
,
1997
, “
On Modeling Fluid Flow Over a Rotating Conical Surface
,”
Chem. Eng. Sci.
,
52
(
6
), pp.
1055
1057
.10.1016/S0009-2509(96)00473-3
3.
Makarytchev
,
S. V.
,
Langrish
,
T. A. G.
, and
Prince
,
R. G. H.
,
1998
, “
Structure and Regimes of Liquid Film Flow in Spinning Cone Columns
,”
Chem. Eng. Sci.
,
53
(
8
), pp.
1541
1550
.10.1016/S0009-2509(98)00011-6
4.
Symons
,
D. D.
,
2011
, “
Integral Methods for Flow in a Conical Centrifuge
,”
Chem. Eng. Sci.
,
66
(
13
), pp.
3020
3029
.10.1016/j.ces.2011.04.006
5.
Ruschak
,
K. J.
, and
Weinstein
,
S. J.
,
2003
, “
Laminar, Gravitationally Driven Flow of a Thin Film on a Curved Wall
,”
ASME J. Fluids Eng.
,
125
(
1
), pp.
10
17
.10.1115/1.1522412
6.
Miyasaka
,
Y.
,
1974
, “
On the Flow of a Viscous Free Boundary Jet on a Rotating Disk (2nd Report Comparison of Experimental Results With Calculated Values by Means of Film Thickness)
,”
Bull. JSME
,
17
(
113
), pp.
1469
1475
.10.1299/jsme1958.17.1469
7.
Thomas
,
S.
,
Faghri
,
A.
, and
Hankey
,
W.
,
1991
, “
Experimental Analysis and Flow Visualization of a Thin Liquid Film on a Stationary and Rotating Disk
,”
ASME J. Fluids Eng.
,
113
(
1
), pp.
73
80
.10.1115/1.2926500
8.
Makarytchev
,
S. V.
,
Langrish
,
T. A. G.
, and
Prince
,
R. G. H.
,
2001
, “
Thickness and Velocity of Wavy Liquid Films on Rotating Surfaces
,”
Chem. Eng. Sci.
,
56
(
1
), pp.
77
87
.10.1016/S0009-2509(00)00428-0
9.
Lan
,
H.
,
Wegener
,
J. L.
,
Armaly
,
B. F.
, and
Drallmeier
,
J. A.
,
2010
, “
Developing Laminar Gravity-Driven Thin Liquid Film Flow Down an Inclined Plane
,”
ASME J. Fluids Eng.
,
132
(
8
), p.
081301
.10.1115/1.4002109
10.
Symons
,
D. D.
, and
Bizard
,
A. F. M.
,
2014
, “
Measurement of Film Thickness for Continuous Fluid Flow Within a Spinning Cone
,”
12th Biennial Conference on Engineering Systems Design and Analysis
, Volume 2: Dynamics, Vibration and Control; Energy; Fluids Engineering; Micro and Nano Manufacturing, July 25, Paper No. ESDA2014-20129.
11.
Bizard
,
A. F. M.
,
2011
, “
Design of Conical Centrifugal Filters—An Analytical Approach
,” Ph.D. thesis,
Cambridge University Engineering Department
, Cambridge, UK.
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