============================================================ HEAT & MASS TRANSFER ANALOGY SOLVER ============================================================ Configuration Type = External Flow over Flat Plate Velocity (U) = 5.0000 m/s Characteristic Length = 0.5000 m --- FLUID & DIFFUSION PROPERTIES --------------------------- Density (rho) = 1.2040 kg/m3 Viscosity (mu) = 1.8250E-05 Pa.s Thermal Cond (kf) = 0.0251 W/m.K Specific Heat (Cp) = 1007.00 J/kg.K Mass Diffusivity D_AB = 2.6000E-05 m2/s --- DIMENSIONLESS NUMBERS ---------------------------------- Reynolds Number (Re) = 1.6493E+05 Prandtl Number (Pr) = 0.7310 Schmidt Number (Sc) = 0.5830 Lewis Number (Le) = 0.7975 --- ANALOGY RESULTS (AVERAGE VALUES) ----------------------- Skin Friction Coeff (Cf) = 0.003270 Average Nusselt Number = 242.9194 Average Sherwood Number = 225.2722 Average Heat HTC (h) = 12.2140 W/m2.K Average Mass MTC (hm) = 1.1714E-02 m/s --- CHILTON-COLBURN RATIO VERIFICATION --------------------- Actual Ratio h/hm = 1.0427E+03 J/m3.K Theoretical rho*Cp*Le^n = 1.0427E+03 J/m3.K Analogy Deviation = 0.00 % --- LOCAL PROFILE ALONG SURFACE ---------------------------- x [m] Re_x Nu_x Sh_x h_x [W/m2.K] hm_x [m/s] ---------------------------------------------------------------------- 0.0125 4.1233E+03 19.20 17.81 38.6240 3.7043E-02 0.0250 8.2466E+03 27.16 25.19 27.3113 2.6194E-02 0.0375 1.2370E+04 33.26 30.85 22.2996 2.1387E-02 0.0500 1.6493E+04 38.41 35.62 19.3120 1.8522E-02 0.0625 2.0616E+04 42.94 39.82 17.2732 1.6566E-02 0.0750 2.4740E+04 47.04 43.62 15.7682 1.5123E-02 0.0875 2.8863E+04 50.81 47.12 14.5985 1.4001E-02 0.1000 3.2986E+04 54.32 50.37 13.6557 1.3097E-02 0.1125 3.7110E+04 57.61 53.43 12.8747 1.2348E-02 0.1250 4.1233E+04 60.73 56.32 12.2140 1.1714E-02 0.1375 4.5356E+04 63.69 59.07 11.6456 1.1169E-02 0.1500 4.9479E+04 66.53 61.69 11.1498 1.0694E-02 0.1625 5.3603E+04 69.24 64.21 10.7124 1.0274E-02 0.1750 5.7726E+04 71.86 66.64 10.3227 9.9003E-03 0.1875 6.1849E+04 74.38 68.98 9.9727 9.5646E-03 0.2000 6.5973E+04 76.82 71.24 9.6560 9.2609E-03 0.2125 7.0096E+04 79.18 73.43 9.3677 8.9843E-03 0.2250 7.4219E+04 81.48 75.56 9.1038 8.7312E-03 0.2375 7.8342E+04 83.71 77.63 8.8610 8.4983E-03 0.2500 8.2466E+04 85.88 79.65 8.6366 8.2832E-03 0.2625 8.6589E+04 88.01 81.61 8.4285 8.0835E-03 0.2750 9.0712E+04 90.08 83.53 8.2347 7.8977E-03 0.2875 9.4836E+04 92.10 85.41 8.0537 7.7241E-03 0.3000 9.8959E+04 94.08 87.25 7.8841 7.5615E-03 0.3125 1.0308E+05 96.02 89.05 7.7248 7.4087E-03 0.3250 1.0721E+05 97.92 90.81 7.5748 7.2648E-03 0.3375 1.1133E+05 99.79 92.54 7.4332 7.1290E-03 0.3500 1.1545E+05 101.62 94.24 7.2993 7.0005E-03 0.3625 1.1958E+05 103.42 95.91 7.1723 6.8788E-03 0.3750 1.2370E+05 105.19 97.55 7.0517 6.7632E-03 0.3875 1.2782E+05 106.93 99.16 6.9371 6.6532E-03 0.4000 1.3195E+05 108.64 100.74 6.8278 6.5484E-03 0.4125 1.3607E+05 110.32 102.31 6.7236 6.4484E-03 0.4250 1.4019E+05 111.98 103.85 6.6240 6.3529E-03 0.4375 1.4432E+05 113.62 105.36 6.5287 6.2615E-03 0.4500 1.4844E+05 115.23 106.86 6.4373 6.1739E-03 0.4625 1.5256E+05 116.82 108.33 6.3498 6.0899E-03 0.4750 1.5668E+05 118.38 109.78 6.2656 6.0092E-03 0.4875 1.6081E+05 119.93 111.22 6.1848 5.9317E-03 0.5000 1.6493E+05 121.46 112.64 6.1070 5.8571E-03 --- CORRELATIONS USED --------------------------------------- Flat Plate Laminar (Re <= 5e5): Nu_x = 0.332 Re_x^0.5 Pr^1/3, Sh_x = 0.332 Re_x^0.5 Sc^1/3. Flat Plate Turbulent (Re > 5e5): Nu_x = 0.0296 Re_x^0.8 Pr^1/3, Sh_x = 0.0296 Re_x^0.8 Sc^1/3. Boundary layers assumed analogous under Chilton-Colburn definition.