Direct numerical simulations of three-dimensional flow and augmented convective heat transfer in a transversely grooved channel are presented for the Reynolds number range 140 < Re < 2000. These calculations employ the spectral element technique. Multiple flow transitions are documented as the Reynolds number increases, from steady two-dimensional flow through broad-banded unsteady three-dimensional mixing. Three-dimensional simulations correctly predict the Reynolds-number-independent friction factor behavior of this flow and quantify its heat transfer to within 16 percent of measured values. Two-dimensional simulations, however, incorrectly predict laminar-like friction factor and heat transfer behaviors.
Issue Section:
Heat Transfer Enhancement
1.
Amon
C. H.
1993
, “Spectral Element-Fourier Method of Transitional Flows in Complex Geometries
,” AIAA Journal
, Vol. 31
, pp. 42
–48
.2.
Amon
C. H.
Majumdar
D.
Herman
C. V.
Mayinger
F.
Mikic
B. B.
Sekulic
D. P.
1992
, “Experimental and Numerical Investigation of Oscillatory Flow and Thermal Phenomena in Communicating Channels
,” International J. Heat Mass Transfer
, Vol. 35
, pp. 3115
–3129
.3.
Amon
C. H.
Patera
A. T.
1989
, “Numerical Calculation of Stable Three-Dimensional Tertiary States in Groove-Channel Flow
,” Physics of Fluids A
, Vol. 1
, No. 12
, pp. 2005
–2009
.4.
Blackburn, H. M., and Karniadakis, G. E., 1993, “Two-and Three-Dimensional Simulations of Vortex-Induced Vibrations of a Circular Cylinder,” Proceedings of the Third International Offshore and Polar Engineering Conference, Singapore, pp. 715–720.
5.
Fischer
P. F.
Patera
A. T.
1991
, “Parallel Spectral Element Solutions of the Stokes Problem
,” J. Comput. Phys.
, Vol. 92
, pp. 380
–421
.6.
Fischer, P. F., and Patera, A. T., 1992, “Parallel Spectral Element Solutions of Eddy-Promoter Channel Flow,” Proceedings of the European Research Community on Flow Turbulence and Computation Workshop, Lausanne, Switzerland, Cambridge University Press, Cambridge, UK, pp. 246–256.
7.
Fischer, P. F., and Ronquist, E. M., 1994, “Spectral Element Methods for Large Scale Parallel Navier-Stokes Calculations,” Comp. Meth. Mech. Engr., pp. 69–76.
8.
Fox, R. W., and McDonald, A. T., 1985, Introduction to Fluid Mechanics, John Wiley and Sons, New York.
9.
Ghaddar
N. K.
Korczak
K.
Mikic
B. B.
Patera
A. T.
1986
, “Numerical Investigation of Incompressible Flow in Grooved Channels. Part 1: Stability and Self-Sustained Oscillations
,” J. Fluid Mech.
, Vol. 168
, pp. 541
–567
.10.
Greiner
M.
Chen
R.-F.
Wirtz
R. A.
1990
, “Heat Transfer Augmentation Through Wall-Shaped-Induced Flow Destabilization,” JOURNAL OF HEAT TRANSFER
, Vol. 112
, pp. 336
–341
.11.
Greiner, M., Chen, R.-F., and Wirtz, R. A., 1991, “Passive Heat Transfer Enhancement on a Flat Surface in a Grooved Channel,” Proceedings of the ASME/JSME Thermal Engineering Joint Conference, Reno, NV, Vol. 3, pp. 97–101.
12.
Guzman
A. H.
Amon
C. H.
1994
, “Transition to chaos in converging-diverging channel flows: Ruelle-Takens-Newhouse scenario
,” Phys. Fluids
, Vol. 6
, pp. 1994
–2002
.13.
Guzman
A. H.
Amon
C. H.
1996
, “Dynamical flow characterization of transitional and chaotic regimes in converging-diverging channels
,” J. Fluid Mech.
, Vol. 321
, pp. 25
–57
.14.
Karniadakis
G. E.
Mikic
B. B.
Patera
A. T.
1988
, “Minimum-Dissipation Transport Enhancement by Flow Destabilization: Reynolds Analogy Revisited
,” J. Fluid Mech.
, Vol. 192
, pp. 365
–391
.15.
Kozlu
H.
Mikic
B. B.
Patera
A. T.
1988
, “Minimum-dissipation heat removal by scale-matched flow destabilization
,” Int. J. Heat Mass Transfer
, Vol. 10
, pp. 2023
–2032
.16.
Maday, Y., and Patera, A. T., 1989, “Spectral Element Methods for the Navier-Stokes Equations,” State of the Art Surveys on Computational Mechanics, A. K. Noor and J. T. Oden, eds., ASME, New York, pp. 71–143.
17.
Majumdar
D.
Amon
C. H.
1997
, “Oscillatory Momentum Transport Mechanisms in Transitional Complex Geometry Flows
,” ASME Journal of Fluids Engineering
, Vol. 119
, pp. 29
–35
.18.
Orszag
S. A.
Kells
L. C.
1980
, “Transition to Turbulence in Plane Poiseuille Flow and Plan Couette Flow
,” J. Fluid Mech.
, Vol. 96
, pp. 159
–205
.19.
Patera
A. T.
1984
, “A Spectral Element Method for Fluid Dynamics; Laminar Flow in a Channel Expansion
,” J. Comput. Phys.
, Vol. 54
, pp. 468
–488
.20.
Roberts
E. P. L.
1994
, “A Numerical and Experimental Study of Transition Processes in an Obstructed Channel Flow
,” J. Fluid Mech.
, Vol. 260
, pp. 185
–209
.21.
Webb, R. L., 1994, Principles of Enhanced Heat Transfer, John Wiley and Sons, New York.
This content is only available via PDF.
Copyright © 1998
by The American Society of Mechanical Engineers
You do not currently have access to this content.