Study on the Essential Spatial-Resolution for DNS of Turbulent Heat Transfer in a Channel Flow with High Prandtl Number : In case of medium-High Prandtl Number

In this study, the essential spatial resolution for Direct numerical simulation (DNS) of passive scalar transport in a channel flow was investigated at friction Reynolds number Re τ = 150 and Prandtl number Pr = 5 by using the high accuracy DNS data, which resolved full scales of second-order temperature derivative. In spite of lack the spatial resolution less than dynamical velocity fluctuations, the coarser DNS results were finely agreed with the high accuracy DNS results, as far as Nusselt number to temperature turbulent energy dissipation. This is why the larger scale in the temperature inertial range plays the role of the real dissipative smaller scale. Results of finer numerical grids for temperature field than velocity field, follow the temperature spectrum profile in the range of the fine smallest scale. It indicates that dynamical process in the velocity dissipative range might not impact on the statistic behavior of the smallest temperature scale.

[1]  Michael Manhart,et al.  DNS of passive scalar transport in turbulent channel flow at high Schmidt numbers , 2007 .

[2]  I. Tiselj,et al.  Near-wall passive scalar transport at high Prandtl numbers , 2007 .

[3]  T. Kunugi,et al.  Direct numerical simulation of turbulent channel flow under a uniform magnetic field for large-scale structures at high Reynolds number , 2006 .

[4]  B. Robert,et al.  On the role of the smallest scales of a passive scalar field in a near-wall turbulent flow , 2006 .

[5]  D. Papavassiliou,et al.  On the Prandtl or Schmidt number dependence of the turbulent heat or mass transfer coefficient , 2004 .

[6]  Thomas J. Hanratty,et al.  Limiting behavior of turbulent scalar transport close to a wall , 2000 .

[7]  Yang Na,et al.  Use of direct numerical simulation to study the effect of Prandtl number on temperature fields , 1999 .

[8]  Hiroshi Kawamura,et al.  DNS of turbulent heat transfer in channel flow with low to medium-high Prandtl number fluid , 1998 .

[9]  J. Andrzej Domaradzki,et al.  Direct numerical simulations of passive scalars with Pr>1 advected by turbulent flow , 1997, Journal of Fluid Mechanics.

[10]  Thomas J. Hanratty,et al.  Transport of a passive scalar in a turbulent channel flow , 1997 .

[11]  Chen,et al.  Far-dissipation range of turbulence. , 1993, Physical review letters.

[12]  N. Kasagi,et al.  Direct Numerical Simulation of Passive Scalar Field in a Turbulent Channel Flow , 1992 .

[13]  P. Moin,et al.  The minimal flow unit in near-wall turbulence , 1991, Journal of Fluid Mechanics.

[14]  P. Moin,et al.  Direct simulations of turbulent flow using finite-difference schemes , 1989 .

[15]  Stephen B. Pope,et al.  An examination of forcing in direct numerical simulations of turbulence , 1988 .

[16]  B. A. Kader.  Temperature and concentration profiles in fully turbulent boundary layers , 1981 .

[17]  A. Chorin.  Numerical solution of the Navier-Stokes equations , 1968 .

[18]  Carl H. Gibson,et al.  The universal equilibrium spectra of turbulent velocity and scalar fields , 1963, Journal of Fluid Mechanics.

[19]  G. Batchelor.  Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity , 1959, Journal of Fluid Mechanics.

[20]  Katepalli R. Sreenivasan,et al.  Under consideration for publication in J. Fluid Mech. 1 Very fine structures in scalar mixing , 2008 .

[21]  J. Lumley,et al.  A First Course in Turbulence , 1972 .