******************************************************************************** ******************************************************************************** ********** ********** ********** "Data-Base on Turbulent Heat Transfer" ********** ********** ********** ********** Supported by the Ministry of Education, ********** ********** Science and Culture ********** ********** ********** ********** 1991 ********** ********** ********** ********** ********** ********** ********** ********** Y. Nagano (Organizer) ********** ********** ********** ********** N. Kasagi, T. Ota, H. Fujita, H. Yoshida, M. Kumada ********** ********** ********** ******************************************************************************** ******************************************************************************** ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++ << NOTICE >> ++++++++++ ++++++++++ ++++++++++ ++++++++++ All rights are reserved by the presenters of each ++++++++++ ++++++++++ data base. No part of the data described herein ++++++++++ ++++++++++ may be represented or otherwise used in any form ++++++++++ ++++++++++ without fully referring to this data base and ++++++++++ ++++++++++ the literature cited at the end of the data base. ++++++++++ ++++++++++ The original data base will be revised without ++++++++++ ++++++++++ notice, whenever necessary. Future revisions ++++++++++ ++++++++++ will be notified to those who register by writing ++++++++++ ++++++++++ to Research Organizer: ++++++++++ ++++++++++ ++++++++++ ++++++++++ Y. Nagano ++++++++++ ++++++++++ Department of Mechanical Engineering ++++++++++ ++++++++++ Nagoya Institute of Technology ++++++++++ ++++++++++ Gokiso-cho, Showa-ku, Nagoya 466 ++++++++++ ++++++++++ Japan. ++++++++++ ++++++++++ ++++++++++ ++++++++++ March 1992 ++++++++++ ++++++++++ ++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1. DATA No. (FILE NAME) NW_BL004 2. KEY WORDS Natural Convection, Turbulent Boundary Layer, Heat Transfer Rate, Wall Shear Stress, 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. Characteristics of a Turbulent Natural Convection Boundary Layer along a Vertical Flat Plate d. Int. J. Heat Mass Transfer e. Vol. 31, No. 8, 1723-1734 (1988) 4. ABSTRACT OF EXPERIMENT A detailed hot-wire measurement of a turbulent natural convection boundary layer is made paying close attention to the characteristics of the near-wall region which has not been clarified quantitatively. Heat transfer rate and wall shear stress are determined from mean temperature and mean velocity profiles on theoretical grounds. These measure- ments yield important results concerning the availability of the conventional analogy between heat and momentum transfer and the concept of the viscous sublayer for natural convec- tion. Also, the streamwise development of the turbulent boundary layer is systematically investigated for mean velocity, mean temperature and both velocity and tempera- ture fluctuations. 5. INSTRUMENTATION The flat surface generating flow was a copper plate 4 m high, 1 m wide and 2 mm thick. A normal hot-wire and a cold-wire made of 0.0031 mm dia. tungsten were used to measure fluid velocity and temperature. A 0.025 mm dia. platinum-rhodium-platinum thermocouple was used simulta- neously for the measurement of fluid temperature near the wall. 6. EXPERIMENTAL PARAMETERS *** Test conditions *** a. Measurements of heat transfer rate Wall temp. Tw : 100 deg. (Tw-Ta=75.69 deg.->84.93 deg.) 60 deg. (Tw-Ta=46.33 deg.->48.97 deg.) (Ta: Ambient temp.) Measuring point x : 0.113 m->3.703 m (Vertical location) b. Measurements of wall shear stress Wall temp. Tw : 60 deg. (Tw-Ta=43.19 deg.->44.25 deg.) (Ta: Ambient temp.) Measuring point x : 0.307 m->3.244 m (Vertical location) c. Velocity and temperature measurements No. 1 No. 2 No. 3 No. 4 Comments x [m] 1.438 1.918 2.535 3.244 : Vertical location Tw[deg.] 60.01 60.05 59.97 60.42 : Wall temp. Ta[deg.] 16.36 16.86 16.69 16.51 : Ambient temp. Pa[Pa] 1.012E05 1.012E05 1.013E05 1.015E05 : Atom. pres. Grx 1.553E10 3.624E10 8.441E10 1.797E11 : Grashof no. Pr 0.710 0.710 0.710 0.710 : Prandtl no. Physical properties were evaluated at the film tempera- ture (=(Tw+Ta)/2), except that the body expansion coefficient B was defined as 1/(273.15+Ta). Ambient temperature increased nearly 2 deg. in the vertical direction from the leading to the trailing edges of the plate. 7. MEASURED VARIABLES Nux - Nusselt number T - Mean temperature t2 - Intensity of temperature fluctuation (rms value) t* - Friction temperature U - Mean streamwise velocity u2 - Intensity of streamwise velocity fluctuation (rms value) u* - Friction velocity ut - Streamwise turbulent heat flux y - Distance normal to the flat plate Fw - Wall shear stress 8. DATA a. Heat Transfer Rate (Data in the laminar and transition regions are included.) Tw=100 deg. Tw=60 deg. Grx.Pr Nux Grx.Pr Nux 1 7.212E+06 2.057E+01 1 6.744E+06 1.952E+01 2 6.382E+06 1.992E+01 2 1.205E+08 4.132E+01 3 1.500E+08 4.436E+01 3 4.972E+08 6.053E+01 4 1.452E+08 4.248E+01 4 1.417E+09 8.905E+01 5 7.938E+08 6.960E+01 5 3.126E+09 1.801E+02 6 1.054E+09 8.206E+01 6 8.776E+09 2.490E+02 7 2.009E+09 1.355E+02 7 2.101E+10 3.278E+02 8 1.740E+09 1.124E+02 8 2.918E+10 3.595E+02 9 3.956E+09 1.965E+02 9 5.311E+10 4.366E+02 10 7.256E+09 2.266E+02 10 9.216E+10 5.539E+02 11 1.137E+10 2.733E+02 11 1.471E+11 6.046E+02 12 1.161E+10 2.695E+02 12 2.156E+11 7.038E+02 13 1.767E+10 3.157E+02 14 2.655E+10 3.606E+02 15 3.276E+10 3.839E+02 16 3.885E+10 3.952E+02 Correlation (turbulent region, 17 4.983E+10 4.402E+02 Grx.Pr>3.5E09): 18 6.372E+10 4.871E+02 19 8.770E+10 5.502E+02 NUx=0.120(Grx.Pr)**(1/3) 20 8.805E+10 5.322E+02 21 1.127E+11 5.973E+02 22 1.164E+11 5.914E+02 23 1.397E+11 6.363E+02 24 1.855E+11 6.763E+02 25 1.892E+11 7.016E+02 26 2.445E+11 7.757E+02 27 2.777E+11 7.786E+02 b. Wall Shear Stress (Data in the laminar and transition regions are included.) Grx Fw Correlation (turbulent region, /(RUb**2) Grx>1.0E10): 1 1.508E+08 4.472E+00 2 6.762E+08 5.083E+00 Fw/(RUb**2)=0.684Grx**(1/11.9) 3 3.906E+09 4.963E+00 4 1.553E+10 4.935E+00 Ub=[gB(Tw-Ta)N]**(1/3) 5 3.624E+10 5.259E+00 R: Density 6 8.441E+10 5.674E+00 N: Kinematic viscosity 7 1.797E+11 6.037E+00 c. Velocity and temperature data NO. 1 Grx=1.553E10, Tw=60.01 deg., Ta=16.36 deg., N=1.6831E-05 m**2/s u*=0.06487 m/s, t*=2.961 deg., Pr=0.710 y+=u*y/N, U+=U/u*, T+=(Tw-T)/t* y+ U+ T+ u2/u* t2/t* ut/u*t* 1 1.041E+00 8.463E-01 5.970E-01 1.453E-01 3.365E-01 7.710E-03 2 1.426E+00 1.222E+00 8.188E-01 2.002E-01 4.124E-01 5.258E-03 3 1.811E+00 1.562E+00 1.073E+00 2.574E-01 5.268E-01 9.475E-03 4 2.197E+00 1.868E+00 1.293E+00 3.146E-01 6.167E-01 3.799E-03 5 2.582E+00 2.143E+00 1.611E+00 3.986E-01 7.697E-01 9.236E-03 6 2.968E+00 2.414E+00 1.823E+00 4.125E-01 8.399E-01 3.320E-02 7 3.353E+00 2.668E+00 2.059E+00 4.990E-01 9.216E-01 2.226E-03 8 3.739E+00 2.958E+00 2.397E+00 5.565E-01 1.062E+00 4.055E-02 9 4.124E+00 3.251E+00 2.604E+00 6.040E-01 1.174E+00 5.893E-02 10 4.895E+00 3.717E+00 3.073E+00 7.114E-01 1.377E+00 8.111E-02 11 5.666E+00 4.144E+00 3.619E+00 8.563E-01 1.592E+00 1.559E-01 12 6.437E+00 4.572E+00 4.054E+00 9.254E-01 1.734E+00 1.501E-01 13 7.207E+00 5.025E+00 4.432E+00 1.019E+00 1.874E+00 2.986E-01 14 7.978E+00 5.358E+00 4.891E+00 1.063E+00 1.992E+00 3.567E-01 15 9.905E+00 6.182E+00 5.804E+00 1.221E+00 2.235E+00 5.815E-01 16 1.183E+01 6.817E+00 6.545E+00 1.318E+00 2.404E+00 8.528E-01 17 1.376E+01 7.190E+00 7.340E+00 1.407E+00 2.437E+00 1.122E+00 18 1.569E+01 7.258E+00 7.920E+00 1.451E+00 2.511E+00 1.455E+00 19 1.954E+01 7.771E+00 8.702E+00 1.592E+00 2.450E+00 1.935E+00 20 2.339E+01 7.766E+00 9.383E+00 1.643E+00 2.430E+00 2.201E+00 21 2.725E+01 7.865E+00 9.939E+00 1.686E+00 2.303E+00 2.319E+00 22 3.110E+01 7.942E+00 1.029E+01 1.669E+00 2.216E+00 2.301E+00 23 3.496E+01 8.038E+00 1.053E+01 1.730E+00 2.112E+00 2.356E+00 24 3.881E+01 7.876E+00 1.081E+01 1.706E+00 2.033E+00 2.256E+00 25 5.037E+01 7.675E+00 1.141E+01 1.710E+00 1.787E+00 2.143E+00 26 6.194E+01 7.344E+00 1.176E+01 1.753E+00 1.609E+00 1.870E+00 27 7.735E+01 7.022E+00 1.218E+01 1.787E+00 1.402E+00 1.659E+00 28 9.662E+01 6.604E+00 1.256E+01 1.845E+00 1.266E+00 1.404E+00 29 1.159E+02 6.300E+00 1.284E+01 1.816E+00 1.124E+00 1.308E+00 30 1.544E+02 5.229E+00 1.340E+01 1.773E+00 9.146E-01 1.012E+00 31 1.930E+02 4.623E+00 1.366E+01 1.700E+00 8.176E-01 8.200E-01 32 2.315E+02 3.747E+00 1.394E+01 1.568E+00 6.771E-01 6.221E-01 33 2.701E+02 3.316E+00 1.412E+01 1.520E+00 5.971E-01 5.529E-01 34 3.086E+02 2.397E+00 1.432E+01 1.399E+00 5.110E-01 4.016E-01 35 3.857E+02 1.548E+00 1.452E+01 1.030E+00 3.914E-01 2.100E-01 36 4.628E+02 8.062E-01 1.471E+01 6.640E-01 2.036E-01 1.323E-02 37 5.399E+02 -------- 1.468E+01 5.570E-01 1.824E-01 -------- 38 6.169E+02 -------- 1.471E+01 3.424E-01 -------- -------- 39 6.940E+02 -------- 1.473E+01 -------- -------- -------- 40 7.711E+02 -------- 1.473E+01 -------- -------- -------- 41 9.253E+02 -------- 1.472E+01 -------- -------- -------- 42 1.157E+03 -------- 1.463E+01 -------- -------- -------- 43 1.349E+03 -------- 1.467E+01 -------- -------- -------- 44 1.542E+03 -------- 1.470E+01 -------- -------- -------- 45 1.850E+03 -------- 1.468E+01 -------- -------- -------- NO. 2 Grx=3.624E10, Tw=60.05 deg., Ta=16.86 deg., N=1.6857E-05 m**2/s u*=0.06671 m/s, t*=2.841 deg., Pr=0.710 y+=u*y/N, U+=U/u*, T+=(Tw-T)/t* y+ U+ T+ u2/u* t2/t* ut/u*t* 1 1.108E+00 7.375E-01 7.358E-01 1.707E-01 3.640E-01 4.363E-03 2 1.504E+00 1.144E+00 9.705E-01 2.142E-01 4.569E-01 8.089E-03 3 1.900E+00 1.496E+00 1.220E+00 2.665E-01 5.773E-01 1.043E-02 4 2.295E+00 1.880E+00 1.497E+00 3.512E-01 7.159E-01 9.128E-04 5 2.691E+00 2.246E+00 1.778E+00 4.179E-01 7.909E-01 -1.141E-02 6 3.087E+00 2.554E+00 2.042E+00 5.080E-01 8.951E-01 -6.295E-04 7 3.483E+00 2.812E+00 2.458E+00 5.262E-01 1.035E+00 2.217E-02 8 3.878E+00 3.042E+00 2.580E+00 5.866E-01 1.154E+00 6.094E-02 9 4.274E+00 3.388E+00 2.847E+00 6.419E-01 1.252E+00 3.132E-02 10 5.065E+00 3.903E+00 3.281E+00 7.819E-01 1.408E+00 5.024E-02 11 5.857E+00 4.562E+00 3.674E+00 8.838E-01 1.586E+00 5.915E-02 12 6.648E+00 4.789E+00 4.264E+00 9.712E-01 1.776E+00 1.402E-01 13 7.440E+00 5.275E+00 4.568E+00 1.065E+00 1.884E+00 2.354E-01 14 8.231E+00 5.593E+00 5.124E+00 1.164E+00 2.051E+00 2.409E-01 15 1.021E+01 6.396E+00 6.087E+00 1.288E+00 2.304E+00 4.728E-01 16 1.219E+01 7.215E+00 6.650E+00 1.357E+00 2.359E+00 6.073E-01 17 1.417E+01 7.542E+00 7.492E+00 1.459E+00 2.512E+00 1.054E+00 18 1.615E+01 7.957E+00 8.054E+00 1.559E+00 2.511E+00 1.325E+00 19 2.010E+01 8.324E+00 8.966E+00 1.547E+00 2.495E+00 1.543E+00 20 2.406E+01 8.522E+00 9.676E+00 1.620E+00 2.456E+00 1.990E+00 21 2.802E+01 8.471E+00 1.029E+01 1.680E+00 2.379E+00 2.177E+00 22 3.198E+01 8.666E+00 1.065E+01 1.685E+00 2.295E+00 2.226E+00 23 3.593E+01 8.615E+00 1.099E+01 1.749E+00 2.193E+00 2.223E+00 24 3.989E+01 8.658E+00 1.121E+01 1.727E+00 2.094E+00 2.218E+00 25 5.176E+01 8.437E+00 1.168E+01 1.848E+00 1.883E+00 2.101E+00 26 6.364E+01 8.255E+00 1.224E+01 1.832E+00 1.740E+00 1.913E+00 27 7.946E+01 8.000E+00 1.249E+01 1.847E+00 1.517E+00 1.793E+00 28 9.925E+01 7.720E+00 1.281E+01 1.847E+00 1.310E+00 1.525E+00 29 1.190E+02 7.425E+00 1.300E+01 1.896E+00 1.201E+00 1.451E+00 30 1.586E+02 6.716E+00 1.351E+01 1.883E+00 9.835E-01 1.161E+00 31 1.982E+02 5.795E+00 1.383E+01 1.866E+00 8.529E-01 9.645E-01 32 2.378E+02 5.335E+00 1.407E+01 1.794E+00 7.508E-01 8.131E-01 33 2.773E+02 4.379E+00 1.441E+01 1.740E+00 6.533E-01 6.654E-01 34 3.169E+02 3.884E+00 1.437E+01 1.731E+00 5.913E-01 6.210E-01 35 3.961E+02 2.683E+00 1.481E+01 1.588E+00 4.569E-01 3.626E-01 36 4.752E+02 2.214E+00 1.504E+01 1.271E+00 3.566E-01 2.705E-01 37 5.544E+02 1.337E+00 1.517E+01 8.573E-01 2.572E-01 9.513E-02 38 6.335E+02 1.135E+00 1.518E+01 6.678E-01 1.889E-01 4.816E-02 39 7.126E+02 -------- 1.519E+01 4.068E-01 -------- 5.561E-03 40 7.918E+02 -------- 1.509E+01 3.446E-01 -------- -------- 41 9.897E+02 -------- 1.509E+01 -------- -------- -------- 42 1.188E+03 -------- 1.517E+01 -------- -------- -------- 43 1.385E+03 -------- 1.520E+01 -------- -------- -------- 44 1.583E+03 -------- 1.517E+01 -------- -------- -------- 45 1.900E+03 -------- 1.523E+01 -------- -------- -------- No. 3 Grx=8.441E10, Tw=59.97 deg., Ta=16.69 deg., N=1.815E-05 m**2/s u*=0.06929 m/s, t*=2.740 deg., Pr=0.710 y+=u*y/N, U+=U/u*, T+=(Tw-T)/t* y+ U+ T+ u2/u* t2/t* ut/u*t* 1 1.236E+00 1.279E+00 7.810E-01 2.116E-01 3.708E-01 -1.158E-03 2 1.648E+00 1.550E+00 1.013E+00 2.596E-01 4.606E-01 -1.389E-02 3 2.060E+00 1.833E+00 1.324E+00 3.329E-01 5.839E-01 -2.453E-02 4 2.472E+00 2.135E+00 1.607E+00 4.210E-01 7.044E-01 -1.566E-02 5 2.885E+00 2.514E+00 1.716E+00 4.682E-01 8.066E-01 -2.663E-02 6 3.297E+00 2.856E+00 2.046E+00 5.642E-01 9.015E-01 -2.398E-02 7 3.709E+00 3.145E+00 2.332E+00 6.124E-01 1.028E+00 -4.796E-02 8 4.121E+00 3.443E+00 2.582E+00 6.774E-01 1.131E+00 -2.414E-02 9 4.533E+00 3.826E+00 2.766E+00 7.274E-01 1.192E+00 -2.811E-02 10 5.357E+00 4.338E+00 3.360E+00 8.876E-01 1.402E+00 -8.749E-02 11 6.181E+00 4.796E+00 3.866E+00 9.949E-01 1.660E+00 -2.797E-02 12 7.005E+00 5.363E+00 4.358E+00 1.076E+00 1.859E+00 -4.852E-03 13 7.829E+00 5.769E+00 4.738E+00 1.176E+00 1.969E+00 2.305E-02 14 8.654E+00 6.174E+00 5.224E+00 1.237E+00 2.114E+00 4.200E-02 15 1.071E+01 7.135E+00 6.177E+00 1.375E+00 2.345E+00 2.517E-01 16 1.277E+01 7.759E+00 6.866E+00 1.459E+00 2.448E+00 5.562E-01 17 1.483E+01 8.281E+00 7.755E+00 1.528E+00 2.566E+00 7.885E-01 18 1.689E+01 8.591E+00 8.480E+00 1.608E+00 2.600E+00 1.133E+00 19 2.102E+01 9.000E+00 9.453E+00 1.741E+00 2.594E+00 1.749E+00 20 2.514E+01 9.261E+00 1.020E+01 1.816E+00 2.546E+00 2.005E+00 21 2.926E+01 9.498E+00 1.059E+01 1.810E+00 2.434E+00 2.130E+00 22 3.338E+01 9.486E+00 1.103E+01 1.824E+00 2.373E+00 2.153E+00 23 3.750E+01 9.648E+00 1.130E+01 1.810E+00 2.284E+00 2.288E+00 24 4.162E+01 9.571E+00 1.153E+01 1.836E+00 2.200E+00 2.161E+00 25 5.398E+01 9.488E+00 1.216E+01 1.876E+00 1.974E+00 2.207E+00 26 6.634E+01 9.504E+00 1.244E+01 1.898E+00 1.767E+00 2.094E+00 27 8.283E+01 9.307E+00 1.281E+01 1.902E+00 1.573E+00 1.895E+00 28 1.034E+02 8.876E+00 1.312E+01 1.987E+00 1.418E+00 1.770E+00 29 1.240E+02 8.589E+00 1.345E+01 1.980E+00 1.269E+00 1.558E+00 30 1.652E+02 7.932E+00 1.379E+01 2.080E+00 1.091E+00 1.435E+00 31 2.064E+02 7.407E+00 1.404E+01 2.064E+00 9.763E-01 1.234E+00 32 2.477E+02 6.728E+00 1.445E+01 2.026E+00 8.117E-01 1.003E+00 33 2.889E+02 6.451E+00 1.461E+01 2.008E+00 7.675E-01 9.170E-01 34 3.301E+02 5.777E+00 1.483E+01 1.898E+00 6.770E-01 8.259E-01 35 4.125E+02 4.763E+00 1.511E+01 1.870E+00 5.522E-01 5.694E-01 36 4.949E+02 3.516E+00 1.537E+01 1.785E+00 4.942E-01 5.052E-01 37 5.773E+02 2.781E+00 1.548E+01 1.603E+00 3.985E-01 3.161E-01 38 6.597E+02 1.911E+00 1.566E+01 1.224E+00 3.211E-01 2.137E-01 39 7.421E+02 1.728E+00 1.570E+01 1.044E+00 2.309E-01 1.070E-01 40 8.246E+02 1.233E+00 1.574E+01 6.988E-01 2.295E-01 4.610E-02 41 1.031E+03 -------- 1.571E+01 3.345E-01 -------- -------- 42 1.237E+03 -------- 1.563E+01 -------- -------- -------- 43 1.443E+03 -------- 1.572E+01 -------- -------- -------- 44 1.649E+03 -------- 1.564E+01 -------- -------- -------- 45 1.978E+03 -------- 1.571E+01 -------- -------- -------- NO. 4 Grx=1.797E11, Tw=60.42 deg., Ta=16.51 deg., N=1.6804E-05 m**2/s u*=0.07182 m/s, t*=2.695 deg., Pr=0.710 y+=u*y/N, U+=U/u*, T+=(Tw-T)/t* y+ U+ T+ u2/u* t2/t* ut/u*t* 1 1.325E+00 1.401E+00 9.289E-01 2.200E-01 4.330E-01 -4.328E-03 2 1.752E+00 1.683E+00 1.122E+00 2.960E-01 5.191E-01 -1.363E-02 3 2.180E+00 1.988E+00 1.351E+00 3.691E-01 5.904E-01 -2.885E-02 4 2.607E+00 2.357E+00 1.634E+00 4.412E-01 7.106E-01 -5.900E-03 5 3.035E+00 2.590E+00 1.923E+00 4.857E-01 8.627E-01 -1.453E-02 6 3.462E+00 3.010E+00 2.087E+00 5.492E-01 9.143E-01 -5.538E-02 7 3.889E+00 3.329E+00 2.336E+00 6.196E-01 1.002E+00 -6.484E-02 8 4.317E+00 3.720E+00 2.610E+00 7.300E-01 1.188E+00 -6.494E-02 9 4.744E+00 4.013E+00 2.924E+00 8.073E-01 1.277E+00 -9.744E-02 10 5.599E+00 4.605E+00 3.513E+00 9.606E-01 1.492E+00 -1.347E-02 11 6.454E+00 5.153E+00 4.025E+00 1.035E+00 1.680E+00 -1.663E-01 12 7.309E+00 5.639E+00 4.408E+00 1.214E+00 1.854E+00 -1.278E-01 13 8.163E+00 6.119E+00 4.885E+00 1.245E+00 1.989E+00 -1.209E-01 14 9.018E+00 6.527E+00 5.262E+00 1.271E+00 2.100E+00 -1.797E-01 15 1.116E+01 7.671E+00 6.326E+00 1.469E+00 2.387E+00 1.036E-02 16 1.329E+01 8.246E+00 7.231E+00 1.596E+00 2.523E+00 2.051E-01 17 1.543E+01 8.677E+00 7.971E+00 1.660E+00 2.627E+00 5.755E-01 18 1.757E+01 9.049E+00 8.569E+00 1.732E+00 2.650E+00 9.258E-01 19 2.184E+01 9.500E+00 9.687E+00 1.802E+00 2.660E+00 1.519E+00 20 2.611E+01 9.928E+00 1.016E+01 1.835E+00 2.570E+00 1.702E+00 21 3.039E+01 1.005E+01 1.093E+01 1.857E+00 2.481E+00 1.882E+00 22 3.466E+01 1.020E+01 1.135E+01 1.878E+00 2.413E+00 2.049E+00 23 3.894E+01 1.035E+01 1.167E+01 1.892E+00 2.349E+00 2.178E+00 24 4.321E+01 1.033E+01 1.202E+01 1.947E+00 2.240E+00 2.218E+00 25 5.603E+01 1.046E+01 1.240E+01 1.966E+00 2.003E+00 2.092E+00 26 6.885E+01 1.041E+01 1.283E+01 1.977E+00 1.845E+00 2.134E+00 27 8.595E+01 1.018E+01 1.317E+01 2.057E+00 1.630E+00 2.015E+00 28 1.073E+02 9.706E+00 1.355E+01 2.098E+00 1.469E+00 1.916E+00 29 1.287E+02 9.529E+00 1.381E+01 2.112E+00 1.314E+00 1.777E+00 30 1.714E+02 8.784E+00 1.420E+01 2.172E+00 1.144E+00 1.546E+00 31 2.142E+02 8.176E+00 1.453E+01 2.164E+00 9.814E-01 1.301E+00 32 2.569E+02 7.531E+00 1.483E+01 2.150E+00 8.330E-01 1.120E+00 33 2.996E+02 7.168E+00 1.496E+01 2.121E+00 7.811E-01 1.003E+00 34 3.424E+02 6.571E+00 1.520E+01 2.147E+00 7.184E-01 8.974E-01 35 4.279E+02 5.599E+00 1.542E+01 2.029E+00 6.145E-01 6.995E-01 36 5.133E+02 4.981E+00 1.561E+01 1.923E+00 5.224E-01 6.003E-01 37 5.988E+02 4.062E+00 1.578E+01 1.817E+00 4.664E-01 4.542E-01 38 6.843E+02 3.109E+00 1.597E+01 1.669E+00 3.996E-01 3.741E-01 39 7.698E+02 2.097E+00 1.610E+01 1.373E+00 3.534E-01 2.073E-01 40 8.553E+02 1.909E+00 1.622E+01 1.329E+00 3.056E-01 2.317E-01 41 1.069E+03 1.000E+00 1.633E+01 7.006E-01 2.743E-01 4.409E-02 42 1.283E+03 -------- 1.639E+01 3.034E-01 -------- -------- 43 1.496E+03 -------- 1.622E+01 -------- -------- -------- 44 1.710E+03 -------- 1.643E+01 -------- -------- -------- 45 2.052E+03 -------- 1.628E+01 -------- -------- -------- 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. 9. MESUREMENT UNCERTAINTY The estimated uncertainties (95% coverage) are as follows: y+ = -+ 0.13 Nux = -+ 6% Fw/(RUb**2)= -+ 4% U+ = -+ 0.14 T+ = -+ 0.14 u2/u* = -+ 0.04 t2/t* = -+ 0.05 ut/u*t*= -+ 0.07 10. GRAPH File name Contents NU100 HEAT TRANSFER RATE NU60 HEAT TRANSFER RATE T1 MEAN TEMPERATURE T2 MEAN TEMPERATURE T3 MEAN TEMPERATURE T4 MEAN TEMPERATURE TAU WALL SHEAR STRESS TAU1 WALL SHEAR STRESS TF1 INTENSITY OF TEMPERATURE FLUCTUATION TF2 INTENSITY OF TEMPERATURE FLUCTUATION TF3 INTENSITY OF TEMPERATURE FLUCTUATION TF4 INTENSITY OF TEMPERATURE FLUCTUATION U1 MEAN STREAMWISE VELOCITY U2 MEAN STREAMWISE VELOCITY U3 MEAN STREAMWISE VELOCITY U4 MEAN STREAMWISE VELOCITY UF1 INTENSITY OF VELOCITY FLUCTUATION UF2 INTENSITY OF VELOCITY FLUCTUATION UF3 INTENSITY OF VELOCITY FLUCTUATION UF4 INTENSITY OF VELOCITY FLUCTUATION UT1 CROSS-CORRELATION ut UT2 CROSS-CORRELATION ut UT3 CROSS-CORRELATION ut UT4 CROSS-CORRELATION ut 11. REFERENCE 12. DISCUSSION