In this research purely oscillation fluid flow in two microtubes 150 and 250 μm (3.5 mm length) is studied using computational fluid dynamic (CFD) approach and utilizing a new experimental setup developed for dynamic interfacial tension measurement (capillary pressure technique) in the frequency range between 0.2 and 80 Hz. The experiments are done with pure water at a mean temperature of about 25 °C. The results of oscillatory conditions for microtubes of 0.5 mm in diameter have been compared with experimental results for several frequencies. The computational approach was validated by comparison with experimental data of the continuous constant flow through microtubes and also with experimental results of an oscillatory flow through the same tubes at up to 25 Hz. For evaluation of the effects of hydrodynamic relaxation time th = R2 / ν on the amplitude of the pressure gradient, CFD simulation of the oscillatory flow through microtubes of 0.3 and 0.5 mm (diameter) with th =0.0225 s and 0.0625 s have been provided to compare with own corresponding maximum continuous flow (CMCF) experimental data for each frequency which occurs at maximum speed of sinusoidal motion of the piezo. The comparison demonstrates that for a microtube of 0.5 mm and th=0.0625 s for frequencies F〈(1/th) ≤ 16 Hz the computational results for amplitude of pressure gradient is in relatively good agreement with own CMCF experimental data, while for microtubes of 0.3 mm in diameter this agreement is observed for frequencies lower than F〈(1/th) ≤ 44 Hz. CFD simulations of the velocity profile of oscillatory flow through these microtube support these findings and show a parabolic velocity profile (like Poiseuille flow) for frequencies ≤ 10 Hz for microtube of 0.5 mm diameter while this situation is observed below 40 Hz for microtubes of 0.3 mm diameter. Although for a smaller microtube size a relatively developed flow occurs in a higher frequency range, turbulence effects can appear sooner due to the higher flow rates and consequently higher Reynolds numbers. The combination of these two opposite effects would have to be considered when comparing the flow field through microtubes of different size.

1.
Kovalchuk
V. I.
,
Kra¨gel
J.
,
Miller
R.
,
Fainerman
V. B.
,
Kovalchuk
N. M.
,
Zholkovskij
E. K.
,
Wu¨stneck
R.
, and
Dukhin
S. S.
Effect of the Nonstationary Viscous Flow in the Capillary on Oscillating Bubble and Oscillating Drop Measurements
”,
J. Colloid Interface Sci.
232
,
25
32
(
2000
)
2.
Hetsroni
G.
,
Mosyak
A.
,
Pogrebnyak
E.
,
Yarin
L. P.
Fluid flow in micro-channels
”,
International Journal of Heat and Mass Transfer
48
(
2005
)
1982
1998
3.
Hagen
G.
,
Uber die Bewegung des Wassers in engen Zylindrischen Rohzen
,
Pogg. Ann.
46
(
1839
)
423
442
.
4.
Poiseuille
J.
,
Recherches experimentelles tubes de tris petits diameters
,
Comptes Rendus
11
(
1840
) 961–967,
1041
1048
.
5.
Schlichting H., Boundary Layer Theory, McGraw Hill Book Company, New York, 1979.
6.
Womersley J.R., “An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries”, W.A.D.C. Technical Report T.R. 56–614, Wright Air Develop center, US Air Force, 1957.
7.
Singh
M. P.
,
Sinah
P. C.
,
Aggarwal
M.
, “
Flow in the entrance of the aorta
”,
J. Fluid Mech.
87
:
97
102
,
1977
.
8.
Mullin
T.
and
Greated
C. A.
, “
Oscillatory flow in curved pipes. 1. The developing-flow case
”,
J. Fluid Mech.
98
:
383
395
.
9.
Atabek
H. B.
and
Chang
C. C.
Oscillatory flow near the entry of a circular tube
”,
Z Angew Math Phys
12
:
185
201
,
1961
.
10.
Atabek
H. B.
and
Chang
C. C.
, “
Measurement of laminar oscillatory flow in the inlet length of a circular tube
”,
Phys. Med. Biol.
,
1964
, Vol.
9
, No.
2
,
219
227
11.
Yamanaka
G.
,
Kikura
H.
,
Takeda
Y.
and
Aritomi
M.
, “
Flow measurement on an oscillating pipe flow near the entrance using the UVP method
”,
Experiments in Fluids
32
, (
2002
),
122
220
.
12.
Gerrard
J.
and
Hughes
M.
The flow due to an oscillating piston in a cylindrical tube: a comparison between experiment and a simple entrance flow theory
”,
J. Fluid Mech.
50
:
97
106
,
1971
.
This content is only available via PDF.
You do not currently have access to this content.