     1. DATA No. (FILE NAME)
            N1000004

     2. KEY WORDS
            Natural Convection, Turbulent Boundary Layer, Reynolds Stre
            Turbulent Heat Flux

     3. DATA TAKERS AND ARTICLE TITLE
         a. T. Tsuji and Y. Nagano
         b. Dep. of Mech. Eng., Nagoya Institute of Technology
            Gokiso-cho, Showa-ku, Nagoya 466
         c. Estimation of Reynolds Stress and Turbulent Heat Flux
            in a Turbulent Natural Convection Boundary Layer

     4. ABSTRACT
                 Turbulent quantities of velocity and temperature in a
            natural convection boundary layer along a vertical plate
            have been investigated with an anemometry technique (ref.[1
            [2]).  The direct measurements of Reynolds stress and turbu
            lent heat flux are verified by excellent agreement with the
            indirect measurements estimated by integrating momentum and
            thermal energy equations with measured mean velocity and me
            temperature (ref.[2]).  The indirect measurements of Reynol
            stress and turbulent heat flux at Grashof numbers correspon
            ing those shown in ref.[1] are presented.

     5. NOMENCLATURE
            Grx - Grashof number
            t*  - Friction temperature
            u*  - Friction velocity
            uv  - Reynolds stress
            vt  - Transverse turbulent heat flux






            y   - Distance normal to the flat plate
            y+  - Dimensionless distance = u*y/N
            N   - Kinematic viscosity

     6. DATA

            NO. 1       Grx=1.553E10

                 y+       uv/u*u*     v?~/u*t*
          1   5.505E-01   1.791E-02  -1.152E-03
          2   7.865E-01   1.945E-02  -1.691E-03
          3   1.180E+00   1.603E-02  -2.010E-03
          4   1.573E+00   1.986E-02  -1.368E-03
          5   1.966E+00   2.303E-02  -1.153E-04
          6   2.360E+00   2.721E-02   1.790E-04
          7   3.146E+00   4.358E-02   4.743E-03
          8   3.933E+00   5.895E-02   2.448E-02
          9   4.719E+00   6.169E-02   5.496E-02
         10   5.505E+00   6.187E-02   8.949E-02
         11   6.292E+00   6.455E-02   1.348E-01
         12   7.079E+00   6.485E-02   1.887E-01
         13   7.865E+00   8.984E-02   1.946E-01
         14   9.342E+00   8.923E-02   2.877E-01
         15   1.081E+01   8.907E-02   3.688E-01
         16   1.226E+01   8.640E-02   4.264E-01
         17   1.370E+01   8.771E-02   4.694E-01
         18   1.513E+01   1.070E-01   5.014E-01
         19   1.727E+01   1.614E-01   5.577E-01
         20   1.939E+01   2.175E-01   6.165E-01
         21   2.219E+01   2.857E-01   6.757E-01
         22   2.567E+01   3.574E-01   7.179E-01
         23   2.912E+01   4.273E-01   7.507E-01
         24   3.254E+01   4.956E-01   7.825E-01
         25   3.595E+01   5.561E-01   8.030E-01
         26   4.270E+01   6.643E-01   8.096E-01
         27   4.939E+01   7.588E-01   8.105E-01
         28   5.603E+01   8.428E-01   8.076E-01
         29   6.262E+01   9.179E-01   7.998E-01
         30   6.917E+01   9.841E-01   7.900E-01
         31   8.216E+01   1.094E+00   7.678E-01
         32   9.503E+01   1.180E+00   7.452E-01
         33   1.078E+02   1.247E+00   7.229E-01
         34   1.205E+02   1.298E+00   6.978E-01
         35   1.331E+02   1.335E+00   6.717E-01






         36   1.456E+02   1.360E+00   6.445E-01
         37   1.581E+02   1.375E+00   6.160E-01
         38   1.705E+02   1.379E+00   5.878E-01
         39   1.829E+02   1.374E+00   5.615E-01
         40   1.952E+02   1.362E+00   5.347E-01
         41   2.136E+02   1.331E+00   4.954E-01
         42   2.318E+02   1.288E+00   4.578E-01
         43   2.561E+02   1.207E+00   4.113E-01
         44   2.862E+02   1.085E+00   3.587E-01
         45   3.161E+02   9.539E-01   3.058E-01
         46   3.459E+02   8.222E-01   2.583E-01
         47   3.755E+02   6.822E-01   2.134E-01
         48   4.050E+02   5.497E-01   1.734E-01
         49   4.344E+02   4.187E-01   1.336E-01
         50   4.636E+02   2.924E-01   1.043E-01
         51   4.927E+02   1.681E-01   7.573E-02
         52   5.507E+02  -5.224E-02   4.739E-02


            NO. 2       Grx=3.624E10

        ?@?@     y+       uv/u*u*     vt/u*t*
          1   6.085E-01   1.753E-02  -1.344E-03
          2   8.692E-01   1.889E-02  -1.863E-03
          3   1.304E+00   1.512E-02  -2.010E-03
          4   1.738E+00   1.858E-02  -7.365E-04
          5   2.173E+00   2.133E-02   7.460E-05
          6   2.608E+00   2.506E-02  -1.860E-04
          7   3.477E+00   4.040E-02   7.632E-03
          8   4.346E+00   5.461E-02   3.179E-02
          9   5.215E+00   5.606E-02   7.079E-02
         10   6.085E+00   5.484E-02   1.153E-01
         11   6.954E+00   5.608E-02   1.622E-01
         12   7.823E+00   5.489E-02   2.126E-01
         13   8.692E+00   5.431E-02   2.627E-01
         14   1.043E+01   5.662E-02   3.640E-01
         15   1.216E+01   6.077E-02   4.381E-01
         16   1.389E+01   6.336E-02   4.834E-01
         17   1.562E+01   6.989E-02   5.210E-01
         18   1.735E+01   9.277E-02   5.634E-01
         19   1.994E+01   1.498E-01   6.331E-01
         20   2.254E+01   2.080E-01   6.818E-01
         21   2.599E+01   2.789E-01   7.234E-01
         22   3.031E+01   3.548E-01   7.631E-01






         23   3.463E+01   4.282E-01   7.954E-01
         24   3.895E+01   5.002E-01   8.158E-01
         25   4.326E+01   5.653E-01   8.200E-01
         26   5.188E+01   6.821E-01   8.214E-01
         27   6.050E+01   7.848E-01   8.187E-01
         28   6.912E+01   8.769E-01   8.101E-01
         29   7.773E+01   9.594E-01   7.991E-01
         30   8.634E+01   1.033E+00   7.866E-01
         31   1.036E+02   1.155E+00   7.611E-01
         32   1.208E+02   1.253E+00   7.349E-01
         33   1.380E+02   1.331E+00   7.067E-01
         34   1.552E+02   1.392E+00   6.773E-01
         35   1.723E+02   1.437E+00   6.463E-01
         36   1.895E+02   1.468E+00   6.143E-01
         37   2.067E+02   1.487E+00   5.826E-01
         38   2.239E+02   1.494E+00   5.520E-01
         39   2.410E+02   1.491E+00   5.220E-01
         40   2.582E+02   1.480E+00   4.924E-01
         41   2.839E+02   1.450E+00   4.497E-01
         42   3.097E+02   1.404E+00   4.100E-01
         43   3.440E+02   1.320E+00   3.614E-01
         44   3.869E+02   1.190E+00   3.008E-01
         45   4.297E+02   1.046E+00   2.466E-01
         46   4.726E+02   9.009E-01   1.961E-01
         47   5.154E+02   7.446E-01   1.508E-01
         48   5.582E+02   5.946E-01   1.089E-01
         49   6.010E+02   4.468E-01   7.528E-02
         50   6.438E+02   3.051E-01   4.452E-02
         51   6.866E+02   1.664E-01   2.711E-02
         52   7.722E+02  -6.965E-02   1.775E-02


            No. 3       Grx=8.441E10

        ?@?@     y+       uv/u*u*     vt/u*t*
          1   6.723E-01   1.715E-02  -1.505E-03
          2   9.604E-01   1.832E-02  -2.003E-03
          3   1.441E+00   1.421E-02  -2.010E-03
          4   1.921E+00   1.728E-02  -5.576E-04
          5   2.401E+00   1.962E-02   2.533E-04
          6   2.881E+00   2.288E-02   9.054E-04
          7   3.842E+00   3.718E-02   1.480E-02
          8   4.802E+00   5.020E-02   4.308E-02
          9   5.763E+00   5.035E-02   8.285E-02






         10   6.723E+00   4.772E-02   1.338E-01
         11   7.683E+00   4.745E-02   1.931E-01
         12   8.644E+00   4.473E-02   2.499E-01
         13   9.604E+00   2.647E-02   3.244E-01
         14   1.160E+01   2.990E-02   4.161E-01
         15   1.361E+01   3.602E-02   4.812E-01
         16   1.563E+01   4.104E-02   5.282E-01
         17   1.766E+01   4.990E-02   5.747E-01
         18   1.970E+01   7.406E-02   6.229E-01
         19   2.276E+01   1.340E-01   6.861E-01
         20   2.585E+01   1.928E-01   7.286E-01
         21   2.998E+01   2.651E-01   7.609E-01
         22   3.517E+01   3.437E-01   7.955E-01
         23   4.039E+01   4.201E-01   8.199E-01
         24   4.563E+01   4.954E-01   8.294E-01
         25   5.090E+01   5.638E-01   8.313E-01
         26   6.148E+01   6.874E-01   8.302E-01
         27   7.212E+01   7.967E-01   8.248E-01
         28   8.283E+01   8.953E-01   8.149E-01
         29   9.358E+01   9.844E-01   8.019E-01
         30   1.044E+02   1.064E+00   7.883E-01
         31   1.261E+02   1.198E+00   7.606E-01
         32   1.479E+02   1.308E+00   7.332E-01
         33   1.698E+02   1.398E+00   7.029E-01
         34   1.919E+02   1.470E+00   6.709E-01
         35   2.140E+02   1.525E+00   6.375E-01
         36   2.363E+02   1.564E+00   6.039E-01
         37   2.585E+02   1.590E+00   5.720E-01
         38   2.809E+02   1.605E+00   5.401E-01
         39   3.033E+02   1.609E+00   5.085E-01
         40   3.258E+02   1.603E+00   4.777E-01
         41   3.596E+02   1.580E+00   4.345E-01
         42   3.935E+02   1.542E+00   3.947E-01
         43   4.389E+02   1.466E+00   3.441E-01
         44   4.959E+02   1.344E+00   2.828E-01
         45   5.531E+02   1.205E+00   2.262E-01
         46   6.105E+02   1.061E+00   1.773E-01
         47   6.681E+02   9.039E-01   1.309E-01
         48   7.259E+02   7.513E-01   9.253E-02
         49   7.838E+02   5.996E-01   5.855E-02
         50   8.419E+02   4.532E-01   3.307E-02
         51   9.001E+02   3.118E-01   1.971E-02
         52   1.017E+03   7.280E-02   9.035E-03








            NO. 4       Grx=1.797E11

        ?@?@     y+       uv/u*u*     vt/u*t*
          1   7.350E-01   1.681E-02  -1.533E-03
          2   1.050E+00   1.782E-02  -2.003E-03
          3   1.575E+00   1.340E-02  -1.845E-03
          4   2.100E+00   1.612E-02  -4.074E-04
          5   2.625E+00   1.807E-02   2.373E-04
          6   3.150E+00   2.090E-02   1.822E-03
          7   4.200E+00   3.424E-02   2.082E-02
          8   5.250E+00   4.617E-02   5.644E-02
          9   6.300E+00   4.513E-02   1.032E-01
         10   7.350E+00   4.124E-02   1.577E-01
         11   8.400E+00   3.966E-02   2.167E-01
         12   9.450E+00   3.559E-02   2.739E-01
         13   1.050E+01   6.009E-03   3.664E-01
         14   1.274E+01   9.220E-03   4.588E-01
         15   1.501E+01   1.569E-02   5.154E-01
         16   1.729E+01   2.134E-02   5.640E-01
         17   1.960E+01   3.080E-02   6.129E-01
         18   2.192E+01   5.488E-02   6.643E-01
         19   2.542E+01   1.101E-01   7.177E-01
         20   2.896E+01   1.690E-01   7.478E-01
         21   3.371E+01   2.412E-01   7.835E-01
         22   3.970E+01   3.206E-01   8.171E-01
         23   4.575E+01   3.985E-01   8.346E-01
         24   5.184E+01   4.756E-01   8.372E-01
         25   5.798E+01   5.459E-01   8.377E-01
         26   7.036E+01   6.736E-01   8.370E-01
         27   8.287E+01   7.880E-01   8.285E-01
         28   9.549E+01   8.915E-01   8.169E-01
         29   1.082E+02   9.853E-01   8.038E-01
         30   1.210E+02   1.070E+00   7.902E-01
         31   1.469E+02   1.214E+00   7.612E-01
         32   1.730E+02   1.335E+00   7.318E-01
         33   1.993E+02   1.435E+00   7.008E-01
         34   2.259E+02   1.517E+00   6.677E-01
         35   2.526E+02   1.581E+00   6.335E-01
         36   2.795E+02   1.630E+00   5.994E-01
         37   3.065E+02   1.665E+00   5.666E-01
         38   3.337E+02   1.689E+00   5.343E-01
         39   3.610E+02   1.701E+00   5.024E-01
         40   3.885E+02   1.704E+00   4.714E-01






         41   4.299E+02   1.694E+00   4.277E-01
         42   4.714E+02   1.667E+00   3.875E-01
         43   5.272E+02   1.606E+00   3.360E-01
         44   5.975E+02   1.501E+00   2.746E-01
         45   6.682E+02   1.377E+00   2.180E-01
         46   7.393E+02   1.245E+00   1.694E-01
         47   8.109E+02   1.099E+00   1.236E-01
         48   8.828E+02   9.543E-01   8.566E-02
         49   9.551E+02   8.079E-01   5.243E-02
         50   1.028E+03   6.641E-01   2.621E-02
         51   1.101E+03   5.234E-01   1.092E-02
         52   1.247E+03   2.836E-01  -1.946E-03
         53   1.395E+03   1.370E-01  -4.652E-03


     7. REFERENCES
         1. T. Tsuji and Y. Nagano, Characteristics of a Turbulent Natu
            Convection Boundary Layer along a Vertical Flat Plate, Int.
            J. Heat Mass Transfer 31, 1723-1734 (1988).

         2. T. Tsuji and Y. Nagano, Turbulent Measurements in a Natural
            Convection Boundary Layer along a Vertical Flat Plate, Int.
            J. Heat Mass Transfer 31, 2101-2111 (1988).
     8. GRAPH






























   ss












   ],
   -


   an
   ds
   d-
























































































































































































































































































   ral









