The hydrodynamic and thermal conditions associated with the flow of a non-Newtonian fluid (polystyrene), which is heated volumetrically by electric radio-frequency excitation, is considered. The fluid is forced through a two-dimensional channel having local, stationary blocks, which restrict the flow and are maintained at a constant rms voltage potential. Detailed and overall system response is examined for a range of fluid velocities, restriction sizes, and radio-frequency heating rates. This heating reduces the pressure drop induced by the restriction and alters the flow structure, suggesting that it may be used to control and augment conventional injection molding operations.

1.
Anderson, D. A., Tannehill, J. C., and Pletcher, R. H., 1984, Computational Fluid Mechanics and Heat Transfer, McGraw-Hill, New York.
2.
Bird, R. B., Stewart, W. E., and Lightfoot, E. N., 1960, Transport Phenomena, Wiley, New York.
3.
Bird, R. B., Armstrong, R. C, and Hassager, O., 1977, Dynamics of Polymeric Liquids, Vol. 1, Wiley, New York.
4.
Boger
D. V.
,
1987
, “
Viscoelastic Flows Through Contractions
,”
Annual Review of Fluid Mechanics
, Vol.
19
, pp.
157
182
.
5.
Carew
E. O. A.
, and
Townsend
P.
,
1991
, “
Slow Visco-elastic Flow Past a Cylinder in a Rectangular Channel
,”
Rheologica Acta
, Vol.
30
, pp.
58
64
.
6.
Carvalho
M. S.
, and
Souza Mendes
P. R.
,
1992
, “
Heat Transfer in the Non-Newtonian Axisymmetric Flow in the Neighborhood of a Sudden Contraction
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
114
, pp.
582
588
.
7.
James
D. F.
,
Phan-Thien
N.
,
Khan
M. M. K.
,
Beris
A. N.
, and
Pilitis
S.
,
1990
, “
Flow of Test Fluid M1 in Corrugated Tubes
,”
Journal of Non-Newtonian Fluid Mechanics
, Vol.
35
, pp.
405
412
.
8.
Metaxas, A. C, and Meredith, R. J., 1983, Industrial Microwave Heating, Peter Peregrinus Ltd., London.
9.
Minkowycz, W. J., Sparrow, E. M., Schneider, G. E., and Pletcher, R. H., 1988, Handbook of Numerical Heat Transfer, Wiley, New York.
10.
Nakano, Y., Ozoe, H., Kajiwara, T., and Funatsu, K., 1992, “Flow Characteristics of a Power Law Fluid With Temperature-Dependent Viscosity in a Circular Tube With Contraction,” Proceedings of the First International Conference on Transport Phenomena in Processing, S. I. Guceri, ed., Technomic Publishing Company, Lancaster, PA, pp. 796–805.
11.
Paris, D. T., and Hurd, F. K., 1969, Basic Electromagnetic Theory, McGraw-Hill, New York.
12.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC.
13.
Pearson
J. R. A.
,
1978
, “
Polymer Flows Dominated by High Heat Generation and Low Heat Transfer
,”
Polymer Engineering and Science
, Vol.
18
, pp.
222
229
.
14.
Pilitsis
S.
, and
Beris
A. N.
,
1989
, “
Calculations of Steady-State Viscoelastic Flow in an Undulating Tube
,”
Journal of Non-Newtonian Fluid Mechanics
, Vol.
31
, pp.
231
287
.
15.
Richardson
S. M.
,
1989
, “
Modelling of Heat Transfer Processes in Injection Moulding
,”
Advances in Transport Processes
, Vol.
6
, pp.
132
179
.
16.
Shadid
J. N.
, and
Eckert
E. R. G.
,
1992
, “
Viscous Heating of a Cylinder With Finite Length by a High Viscosity Fluid in Steady Longitudinal Flow—II. Non-Newtonian Carreau Model Fluids
,”
International Journal of Heat and Mass Transfer
, Vol.
35
, pp.
2739
2749
.
17.
Skartsis
L.
,
Knomami
B.
, and
Kardos
J. L.
,
1992
, “
Polymeric Flow Through Fibrous Media
,”
Journal of Rheology
, Vol.
36
, pp.
589
620
.
18.
Souvaliotis
A.
, and
Beris
A. N.
,
1992
, “
Applications of Domain Decomposition Spectral Collocation Methods in Viscoelastic Flows Through Model Porous Media
,”
Journal of Rheology
, Vol.
36
, pp.
1417
1453
.
19.
Subbiah
S.
,
Trafford
D. L.
, and
Guceri
S. I.
,
1989
, “
Non-Isothermal Flow of Polymers Into Two-Dimensional, Thin Cavity Molds: A Numerical Grid Generation Approach
,”
International Journal of Heat and Mass Transfer
, Vol.
32
, pp.
415
434
.
20.
Thompson, E. V., 1989, “Thermal Properties,” in: Encyclopedia of Polymer Science and Engineering, H. F. Mark et al., eds., Vol. 16, pp. 711–747.
21.
White
S. A.
,
Gotsis
A. D.
, and
Baird
D. G.
,
1987
, “
Review of the Entry Flow Problem: Experimental and Numerical
,”
Journal of Non-Newtonian Fluid Mechanics
, Vol.
24
, pp.
121
160
.
22.
Yacubowicz
J.
, and
Narkis
M.
,
1990
, “
Electrical and Dielectric Properties of Segregated Carbon Black-Polyethylene Systems
,”
Polymer Engineering and Science
, Vol.
30
, pp.
459
468
.
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