A numerical investigation of the temperature field in a turbulent flume is presented. We consider the effect of the Prandtl number on the convection velocity of temperature fluctuations in a turbulent boundary layer, and focus also on the effect of the Prandtl number on the connection between the velocity and the temperature fluctuations. Close to the wall, convection velocities of the temperature fluctuations decrease with an increase in the Prandtl number, i.e., the scale dependence becomes significantly important. In the region the relation of the convection velocity of the temperature fluctuation to that of the velocity fluctuation may be expressed as and for isothermal and isoflux wall boundary condition, respectively.
Issue Section:
Technical Notes
1.
Calmet
, I.
, and Magnaudet
, J.
, 1997
, “Large-Eddy Simulation of High Schmidt Number Mass Transfer in a Turbulent Channel Flow
,” Phys. Fluids
, 9
(2
), pp. 438
–455
.2.
Dong
, Y. H.
, Lu
, X. Y.
, and Zhuang
, L. X.
, 2003
, “Large Eddy Simulation of Turbulent Channel Flow With Mass Transfer at High Schmidt Numbers
,” Int. J. Heat Mass Transfer
, 46
, pp. 1529
–1539
.3.
Yeung
, P. K.
, Sykes
, M. C.
, and Vedula
, P.
, 2000
, “Direct Numerical Simulation of Differential Diffusion With Smidt Numbers up to 4.0
,” Phys. Fluids
, 12
, pp. 1601
–1604
.4.
Na
, Y.
, Papavassiliou
, D. V.
, and Hanratty
, T. J.
, 1999
, “Use of Direct Numerical Simulation to Study the Effect of Prandtl Number on Temperature Field
,” Int. J. Heat Fluid Flow
, 20
, pp. 187
–195
.5.
Kawamura
, H.
, Abe
, Y.
, and Matsuo
, Y.
, 1999
, “DNS of Turbulent Heat Transfer With Respect to Reynolds and Prandtl Number Effects
,” Int. J. Heat Fluid Flow
, 20
, pp. 196
–207
.6.
Lyons
, S. I.
, Hanratty
, T. J.
, and McLaughlin
, J. B.
, 1991
, “Direct Numerical Simulation of Passive Heat Transfer in Turbulent Channel Flow
,” Int. J. Heat Mass Transfer
, 34
, pp. 1149
–1161
.7.
Papavassiliou
, D. V.
, 2002
, “Scalar Dispersion From an Instantaneous Line Source at the Wall of a Turbulent Channel for Medium and High Prandtl Number Fluids
,” Int. J. Heat Fluid Flow
, 23
, pp. 161
–172
.8.
Kong
, H.
, Choi
, H.
, and Lee
, J. S.
, 2000
, “Direct Numerical Simulation of Turbulent Thermal Boundary Layers
,” Phys. Fluids
, 12
, pp. 1
–14
.9.
Tiselj
, I.
, Pogrebnyak
, E.
, Li
, C.
, Mosyak
, A.
, and Hetsroni
, G.
, 2001
, “Effect of Wall Boundary Condition on Scalar Transfer in a Fully Developed Turbulent Flume
,” Phys. Fluids
, 13
, pp. 1028
–1039
.10.
Na
, Y.
, and Hanratty
, T. J.
, 2000
, “Limiting Behavior of Turbulent Scalar Transport Close to a Wall
,” Int. J. Heat Mass Transfer
, 43
, pp. 1749
–1758
.11.
Kim
, J.
, and Hussain
, F.
, 1993
, “Propagation Velocity of Perturbations in Turbulent Channel Flow
,” Phys. Fluids
, 5
, pp. 695
–706
.12.
Krogstad
, P. A.
, and Antonia
, R. A.
, 1994
, “Structure of Turbulent Boundary Layers on Smooth and Rough Walls
,” J. Fluid Mech.
, 277
, pp. 1
–21
.13.
Kowalewski
, T. A.
, Mosyak
, A.
, and Hetsroni
, G.
, 2003
, “Tracking of Coherent Thermal Structures on a Heated Wall 2. DNS Simulation
,” Exp. Fluids
, 34
, pp. 390
–396
.14.
Kasagi
, N.
, Tomita
, Y.
, and Kuroda
, A.
, 1992
, “Direct Numerical Simulations of Passive Scalar Field in Turbulent Channel Flow
,” Trans. ASME Ser. C: J. Heat Transfer
, 114
, pp. 598
–606
.15.
Hetsroni
, G.
, Zakin
, J. L.
, and Mosyak
, A.
, 1997
, “Low Speed Streaks in Drag-Reduced Turbulent Flow
,” Phys. Fluids
, 9
, p. 2397
2397
.16.
Lam
, K. L.
, and Banerjee
, S.
, 1988
, “Investigation of Turbulent Flow Bounded by a Wall and Free Surface
,” Fundamentals of Gas-Liquid Flows
, 72
, pp. 29
–38
.17.
Gavrilakis, S., Tsai, H. M., Voke, P. R., and Leslie, D. C., 1986, “Direct and Large Eddy Simulation of Turbulence,” Notes on Numerical Fluid Mechanics, 15, Vieweg, Braunschweig, D.B.R., p. 105.
18.
Bergant, R., Tiselj, I., and Hetsroni, G., 2001, “Resolution Requirements for Turbulent Flume Heat Transfer DNS at Prandtl Number 5.4,” ASME International Mechanical Engineering Congress and Exposition, IMECE 1, ASME, New York.
19.
Monin, A. S., and Yaglom, A. M., 1971, Statistical Fluid Mechanics, 1, MIT, Cambridge, MA.
Copyright © 2004
by ASME
You do not currently have access to this content.