       1. DATA No. (FILE NAME)
              N1000002

       2. KEY WORDS
              Natural Convection, Turbulent Boundary Layer, Reynolds
              Stress, Turbulent Heat Flux, Hot-Wire Measurement

       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. Turbulence Measurements in a Natural Convection Boundary
              Layer along a Vertical Flat Plate
           d. Int. J. Heat Mass Transfer
           e. Vol. 31, No. 10, 2101-2111 (1988)

       4. ABSTRACT OF EXPERIMENT
                   A turbulent natural convection boundary layer, the
              structure of which still remains a matter of conjecture
              for want of reliable measurement, is investigated with
              the V-shaped hot-wire technique.  The reliability of
              Reynolds stress and turbulent heat flux measurements is
              verified by the excellent agreement with the indirect
              measurements estimated by integrating momentum and thermal
              energy equations with measured mean velocity and mean
              temperature.  Turbulent quantities clarified quantitatively
              in the present study indicate that the natural convection
              boundary layer has a unique turbulent structure rarely
              seen in other turbulent boundary layers.

       5. INSTRUMENTATION
                   The flat surface generating flow was a copper plate
              4 m high, 1 m wide and 2 mm thick.  Two V-shaped hot-wires
              in an X-array and a cold-wire were used to measure fluid
              velocity and temperature.  The V-shaped hot-wire was
              constructed by symmetrically bending a 0.0031 mm dia. and
              1.5 mm long tungsten wire at the center.  The cold-wire
              of 0.0031 mm dia. and 3.5 mm long tungsten wire located
              upstream of the hot-wires for temperature compensation.

       6. EXPERIMENTAL PARAMETERS
          *** Test conditions ***
                                    Comments
          x [m]        2.536      : Vertical location
          Tw[deg.]     60.63      : Wall temp.
          Ta[deg.]     15.29      : Ambient temp.
          Pa[Pa]      1.017E05    : Atom. pres.
          Grx         8.986E10    : Grashof no.
          Pr           0.710      : Prandtl no.

                   Physical properties were evaluated at the film
              temperature (=(Tw+Ta)/2), except that the body expansion
              coefficient B was defined as 1/Ta.  Ambient temperature
              increased at the rate of about 0.6 deg./m in the vertical
              direction.

       7. MEASURED VARIABLES
              Eh  - Eddy diffusivity for heat
              Em  - Eddy diffusivity for momentum
              Prt - Turbulent Prandtl number
              T   - Mean temperature
              t2  - Intensity of temperature fluctuation (rms value)
              U   - Mean streamwise velocity
              u2  - Intensity of streamwise velocity fluctuation (rms value)
              ut  - Streamwise turbulent heat flux
              uv  - Reynolds stress
              V   - Mean transverse velocity
              v2  - Intensity of transverse velocity fluctuation (rms value)
              vt  - Transverse turbulent heat flux
              y   - Distance normal to the flat plate

       8. DATA
          Grx=8.986E+10,  Tw=60.63 deg.,   Ta=15.29 deg.,  Pr=0.710
          u*=0.07049 m/s (u*: Friction velocity)
          t*=2.866 deg. (t*: Friction temperature)








          N=1.6727E-05 m**2/s (N: Kinematic viscosity)
          y+=u*y/N,  U+=U/u*,  V+=V/u*,  T+=(Tw-T)/t*

                   In evaluating u* and t*, the wall shear stress Fw
              and the wall heat flux were estimated from the following
              experimental formulas (ref. [1]):

                      Fw/(RUb**2)=0.684Grx**(1/11.9)
                      Nux=0.120(GrxPr)**(1/3)

              where Nux is the Nusselt number, R is the density and Ub is
              the reference velocity defined as [gB(Tw-Ta)N]**(1/3).

                   A dimensionless distance Z used to plot data in the
              article can be calculated from the following equation:

                      Z=-(y/x)(Kf/Kw)Nux

              where Kf and Kw are thermal conductivities at film and wall
              temperature, respectively.

           a. Mean velocities and mean temperature

               y [mm]      y+           U+           V+           T+
            1    1.11    4.680E+00    3.462E+00    4.058E-01    3.358E+00
            2    1.31    5.520E+00    3.887E+00    3.623E-01    3.937E+00
            3    1.51    6.360E+00    4.470E+00    3.257E-01    4.254E+00
            4    1.81    7.630E+00    5.209E+00    2.565E-01    4.984E+00
            5    2.11    8.890E+00    5.879E+00    1.737E-01    5.692E+00
            6    2.41    1.016E+01    6.378E+00    6.321E-02    6.354E+00
            7    2.81    1.184E+01    6.987E+00   -1.201E-02    6.944E+00
            8    3.31    1.395E+01    7.592E+00   -6.459E-02    7.792E+00
            9    3.81    1.606E+01    8.044E+00   -9.603E-02    8.418E+00
           10    4.31    1.816E+01    8.367E+00   -1.147E-01    8.940E+00
           11    4.81    2.027E+01    8.739E+00   -1.430E-01    9.369E+00
           12    5.81    2.448E+01    8.905E+00   -1.831E-01    1.015E+01
           13    6.81    2.870E+01    9.176E+00   -1.796E-01    1.042E+01
           14    7.81    3.291E+01    9.529E+00   -2.071E-02    1.109E+01
           15    8.81    3.713E+01    9.439E+00   -1.224E-01    1.129E+01
           16    9.81    4.134E+01    9.704E+00    2.533E-01    1.157E+01
           17   10.81    4.555E+01    9.650E+00    2.352E-01    1.188E+01
           18   13.81    5.820E+01    9.328E+00    7.905E-02    1.243E+01
           19   16.81    7.084E+01    9.080E+00   -1.273E-02    1.274E+01
           20   20.81    8.770E+01    8.992E+00    9.488E-02    1.303E+01
           21   25.81    1.088E+02    8.604E+00    1.932E-03    1.341E+01
           22   30.81    1.298E+02    8.106E+00   -3.108E-01    1.369E+01
           23   40.81    1.720E+02    7.828E+00   -2.485E-01    1.398E+01
           24   50.81    2.141E+02    7.111E+00   -2.502E-01    1.428E+01
           25   60.81    2.563E+02    6.772E+00   -1.608E-01    1.451E+01
           26   70.81    2.984E+02    6.109E+00   -2.821E-01    1.468E+01
           27   80.81    3.406E+02    5.676E+00   -2.849E-01    1.488E+01
           28  100.81    4.248E+02    4.507E+00   -3.665E-01    1.523E+01
           29  120.81    5.091E+02    3.236E+00   -4.262E-01    1.552E+01
           30  140.81    5.934E+02    2.230E+00   -5.748E-01    1.570E+01
           31  160.81    6.777E+02    1.736E+00   -6.631E-01    1.581E+01
           32  180.81    7.620E+02    1.290E+00   -7.121E-01    1.587E+01
           33  200.81    8.462E+02    1.058E+00   -7.161E-01    1.587E+01

           b. Intensities of velocity and temperature fluctuations

               y [mm]      y+          u2/u*        v2/u*        t2/t*
            1    1.11    4.680E+00    8.133E-01    5.360E-01    1.383E+00
            2    1.31    5.520E+00    8.642E-01    5.465E-01    1.586E+00
            3    1.51    6.360E+00    1.002E+00    6.153E-01    1.752E+00
            4    1.81    7.630E+00    1.099E+00    6.786E-01    1.926E+00
            5    2.11    8.890E+00    1.248E+00    6.950E-01    2.183E+00
            6    2.41    1.016E+01    1.342E+00    6.939E-01    2.367E+00
            7    2.81    1.184E+01    1.366E+00    6.902E-01    2.466E+00
            8    3.31    1.395E+01    1.449E+00    7.134E-01    2.515E+00
            9    3.81    1.606E+01    1.554E+00    7.111E-01    2.586E+00
           10    4.31    1.816E+01    1.563E+00    7.302E-01    2.626E+00
           11    4.81    2.027E+01    1.601E+00    7.195E-01    2.552E+00
           12    5.81    2.448E+01    1.737E+00    7.286E-01    2.538E+00
           13    6.81    2.870E+01    1.740E+00    7.578E-01    2.431E+00
           14    7.81    3.291E+01    1.803E+00    7.789E-01    2.338E+00
           15    8.81    3.713E+01    1.806E+00    8.223E-01    2.288E+00
           16    9.81    4.134E+01    1.850E+00    8.002E-01    2.195E+00
           17   10.81    4.555E+01    1.884E+00    8.098E-01    2.085E+00
           18   13.81    5.820E+01    1.929E+00    9.780E-01    1.874E+00
           19   16.81    7.084E+01    1.878E+00    1.021E+00    1.726E+00
           20   20.81    8.770E+01    1.950E+00    1.108E+00    1.537E+00
           21   25.81    1.088E+02    1.965E+00    1.156E+00    1.372E+00
           22   30.81    1.298E+02    2.003E+00    1.266E+00    1.215E+00
           23   40.81    1.720E+02    2.072E+00    1.334E+00    1.052E+00
           24   50.81    2.141E+02    2.105E+00    1.370E+00    9.256E-01
           25   60.81    2.563E+02    2.106E+00    1.338E+00    8.372E-01
           26   70.81    2.984E+02    2.053E+00    1.346E+00    7.440E-01
           27   80.81    3.406E+02    1.995E+00    1.315E+00    6.930E-01
           28  100.81    4.248E+02    1.970E+00    1.198E+00    5.745E-01
           29  120.81    5.091E+02    1.712E+00    1.019E+00    4.825E-01
           30  140.81    5.934E+02    1.525E+00    8.380E-01    4.249E-01
           31  160.81    6.777E+02    1.138E+00    7.118E-01    4.027E-01








           32  180.81    7.620E+02    8.293E-01    5.111E-01    3.633E-01
           33  200.81    8.462E+02    6.063E-01    4.538E-01    2.480E-01

           c. Reynolds stress and turbulent heat fluxes

               y [mm]      y+         uv/u*u*      ut/u*t*      vt/u*t*
            1    1.11    4.680E+00    4.222E-03    3.865E-02   -5.413E-04
            2    1.31    5.520E+00    1.658E-02    6.854E-02    2.498E-02
            3    1.51    6.360E+00    4.556E-02    2.690E-02    7.608E-02
            4    1.81    7.630E+00    3.221E-02   -4.892E-02    1.409E-01
            5    2.11    8.890E+00    3.853E-02    1.973E-01    3.006E-01
            6    2.41    1.016E+01    2.752E-02    3.948E-01    3.571E-01
            7    2.81    1.184E+01    4.617E-02    4.339E-01    4.296E-01
            8    3.31    1.395E+01    6.782E-02    8.254E-01    5.282E-01
            9    3.81    1.606E+01    1.215E-01    1.019E+00    5.599E-01
           10    4.31    1.816E+01    1.252E-01    1.291E+00    6.565E-01
           11    4.81    2.027E+01    1.534E-01    1.484E+00    6.783E-01
           12    5.81    2.448E+01    2.398E-01    1.842E+00    7.350E-01
           13    6.81    2.870E+01    2.594E-01    1.958E+00    7.273E-01
           14    7.81    3.291E+01    3.610E-01    2.118E+00    7.518E-01
           15    8.81    3.713E+01    4.045E-01    2.242E+00    8.003E-01
           16    9.81    4.134E+01    4.719E-01    2.189E+00    8.026E-01
           17   10.81    4.555E+01    5.408E-01    2.233E+00    7.879E-01
           18   13.81    5.820E+01    7.210E-01    2.174E+00    8.104E-01
           19   16.81    7.084E+01    8.331E-01    2.041E+00    8.237E-01
           20   20.81    8.770E+01    9.170E-01    1.880E+00    7.937E-01
           21   25.81    1.088E+02    1.089E+00    1.727E+00    7.841E-01
           22   30.81    1.298E+02    1.319E+00    1.539E+00    7.426E-01
           23   40.81    1.720E+02    1.458E+00    1.337E+00    6.853E-01
           24   50.81    2.141E+02    1.558E+00    1.211E+00    6.176E-01
           25   60.81    2.563E+02    1.557E+00    1.097E+00    5.713E-01
           26   70.81    2.984E+02    1.543E+00    9.154E-01    4.873E-01
           27   80.81    3.406E+02    1.490E+00    8.429E-01    4.650E-01
           28  100.81    4.248E+02    1.320E+00    6.744E-01    3.226E-01
           29  120.81    5.091E+02    8.400E-01    4.445E-01    2.062E-01
           30  140.81    5.934E+02    7.263E-01    3.103E-01    1.307E-01
           31  160.81    6.777E+02    3.458E-01    1.844E-01    1.041E-01
           32  180.81    7.620E+02    2.065E-01    6.830E-02    3.342E-02
           33  200.81    8.462E+02    1.137E-01    5.405E-03    1.165E-02

          d.  Eddy diffusivities for momentum and heat and
              turbulent Prandtl number

               y [mm]      y+          Em/N         Eh/N          Prt
            1    1.31    5.520E+00   -2.568E-02    4.050E-02   -6.340E-01
            2    1.51    6.360E+00   -7.602E-02    1.300E-01   -5.848E-01
            3    1.81    7.630E+00   -6.053E-02    2.619E-01   -2.311E-01
            4    2.11    8.890E+00   -8.366E-02    6.206E-01   -1.348E-01
            5    2.41    1.016E+01   -7.121E-02    8.285E-01   -8.594E-02
            6    2.81    1.184E+01   -1.423E-01    1.146E+00   -1.243E-01
            7    3.31    1.395E+01   -2.758E-01    1.603E+00   -1.721E-01
            8    3.81    1.606E+01   -6.826E-01    1.909E+00   -3.576E-01
            9    4.31    1.816E+01   -1.021E+00    2.550E+00   -4.004E-01
           10    4.81    2.027E+01   -1.717E+00    3.108E+00   -5.524E-01
           11    5.81    2.448E+01   -3.974E+00    4.583E+00   -8.672E-01
           12    6.81    2.870E+01   -6.406E+00    5.748E+00   -1.115E+00
           13    7.81    3.291E+01   -1.499E+01    7.493E+00   -2.000E+00
           14    8.81    3.713E+01   -3.704E+01    1.069E+01   -3.464E+00
           15    9.81    4.134E+01   -1.382E+02    1.413E+01   -9.776E+00
           16   10.81    4.555E+01    1.562E+03    1.582E+01    9.876E+01
           17   13.81    5.820E+01    7.288E+01    2.265E+01    3.218E+00
           18   16.81    7.084E+01    5.865E+01    3.110E+01    1.886E+00
           19   20.81    8.770E+01    5.767E+01    3.906E+01    1.476E+00
           20   25.81    1.088E+02    6.763E+01    4.997E+01    1.353E+00
           21   30.81    1.298E+02    8.230E+01    6.039E+01    1.363E+00
           22   40.81    1.720E+02    9.476E+01    7.865E+01    1.205E+00
           23   50.81    2.141E+02    1.055E+02    8.458E+01    1.248E+00
           24   60.81    2.563E+02    1.114E+02    9.433E+01    1.181E+00
           25   70.81    2.984E+02    1.108E+02    9.826E+01    1.128E+00
           26   80.81    3.406E+02    1.210E+02    1.141E+02    1.060E+00
           27  100.81    4.248E+02    1.136E+02    1.094E+02    1.039E+00
           28  120.81    5.091E+02    8.357E+01    8.812E+01    9.483E-01
           29  140.81    5.934E+02    7.694E+01    7.545E+01    1.020E+00
           30  160.81    6.777E+02    5.009E+01    6.200E+01    8.080E-01
           31  180.81    7.620E+02    3.466E+01    3.740E+01    9.266E-01
           32  200.81    8.462E+02    2.748E+01    3.399E+01    8.084E-01

       9. MEASUREMENT UNCERTAINTY
                   The estimated uncertainties (95% coverage) at y =9.81 mm
              are as follows:

