Zagarola, M. V., and Smits, A. J., 1998, “Mean-Flow Scaling in Turbulent Pipe Flow,” J. Fluid Mech., 373, pp. 33–79.

[CrossRef]Zagarola, M. V., 1996, “Mean Flow Scaling in Turbulent Pipe Flow,” Ph.D. thesis, Princeton University, Princeton, NJ.

Osterlund, J. M., 1999, “Experimental Studies of Zero Pressure-Gradient Turbulent Boundary Layer,” Ph.D. thesis, KTH, Stockholm, Sweden.

Hites, M. H., 1997, “Scaling of High-Reynolds Number Turbulent Boundary Layers in the National Diagnostic Facility,” Ph.D. thesis, Illinois Institute of Technology, Chicago, IL.

Nickels, T. B., Marusic, I., Hafez, S. M., Hutchins, N., and Chong, M. S., 2007, “Some Predictions of the Attached Model for a High Reynolds Number Boundary Layer,” Philos. Trans. R. Soc. Lond. A, 365, pp. 807–820.

[CrossRef]Klewicki, J. C., Foss, J. F., and Wallace, J. M., 1998, *Flow at Ultra-High Reynolds and Rayleigh Numbers*, R. J.Donnelly and K. R.Sreenivasan, eds., Springer, New York.

Marusic, I., Mathis, R., and Hutchins, N., 2010, “Predictive Model for Wall Bounded Turbulent Flow,” Science, 329, pp. 193–196.

[CrossRef] [PubMed]Wei, T., and Willmarth, W. W., 1989, “Reynolds-Number Effects on the Structure of a Turbulent Channel Flow,” J. Fluid Mech., 204, pp. 57–95.

[CrossRef]Shen, X., and Warhaft, Z., 2000, “The Anisotropy of the Small Scale Structure in High Reynolds Number (R

_{ë} ∼ 1000) Turbulent Shear Flow,” Phys. Fluids, 12, pp. 2976–2989.

[CrossRef]McKeon, B. J., 2010, “Controlling Turbulence,” Science, 327, pp. 1462–1463.

[CrossRef] [PubMed]Smits, A. J., McKeon, B. J., and Marusic, I., 2011, “High-Reynolds Number Wall Turbulence,” Ann. Rev. Fluid Mech., 43, pp. 353–375.

[CrossRef]Kim, J., Moin, P., and Moser, R. D., 1987, “Turbulence Statistics in Fully Developed Channel Flow at Low Reynolds Number,” J. Fluid Mech., 177, pp. 133–166.

[CrossRef]Lyons, S. L., Hanratty, T. J., and McLaughlin, J. B., 1991, “Large-Scale Computer Simulation of Fully Developed Turbulent Channel Flow With Heat Transfer,” Int. J. Numer. Methods Fluids, 13, pp. 999–1028.

[CrossRef]Kasagi, N., Tomita, Y., and Kuroda, A., 1992, “Direct Numerical Simulation of Passive Scalar Filed in a Turbulent Channel Flow,” ASME J. Heat Transfer, 114, pp. 598–606.

[CrossRef]Moser, R. D., Kim, J., and Mansour, N. N., 1999, “Direct Numerical Simulation of Turbulent Channel Flow up to Re

_{τ} = 590,” Phys. Fluids, 11, pp. 943–945.

[CrossRef]Abe, H., Kawamura, H., and Choi, H., 2004, “Very Large-Scale Structures and their Effects on the Wall Shear-Stress Fluctuations in a Turbulent Channel Flow up to Re

_{τ} = 640,” ASME J. Fluid Eng., 126, pp. 835–843.

[CrossRef]Hu, Z. W., Morfey, C. L., and Sandham, N. D., 2006, “Wall Pressure and Shear Stress Spectra From Direct Numerical Simulations of Channel Flow,” AIAA J., 44, pp. 1541–1549.

[CrossRef]Hoyas, S., and Jimenez, J., 2006, “Scaling of the Velocity Fluctuations in Turbulent Channels up to Re

_{τ} = 2003,” Phys. Fluids, 18, p. 011702.

[CrossRef]Abe, H., Kawamura, H., and Matsuo, Y., 2004, “Surface Heat-Flux Fluctuations in a Turbulent Channel Flow up to Re

_{τ} = 1020 With Pr = 0.025 and 0.71,” Int. J. Heat Fluid Flow, 25, pp. 401–419.

[CrossRef]Gad-el-Hak, M., and Bandyopadhyay, H., 1994, “Reynolds Number Effects in Wall-Bounded Turbulent Flows,” Appl. Mech. Rev., 47, pp. 307–365.

[CrossRef]George, W. K., and Castillo, L., 1997, “Zero-Pressure-Gradient Turbulent Boundary Layer,” Appl. Mech. Rev., 50, pp. 689–729.

[CrossRef]Degraaff, D. B., and Eaton, J. K., 2000, “Reynolds-Number Scaling the Flat-Plate Turbulent Boundary Layer,” J. Fluid Mech., 422, pp. 319–346.

[CrossRef]Wei, T., Fife, P., Klewicki, J., and McMurtry, P., 2005, “Properties of the Mean Momentum Balance in Turbulent Boundary Layer, Pipe and Channel Flows,” J. Fluid Mech., 522, pp. 303–327.

[CrossRef]Monkewitz, P. A., Chauhan, K. A., and Nagib, H. M., 2007, “Self-Consistent High-Reynolds Number Asymptotics for Zero-Pressure-Gradient Turbulent Boundary Layers,” Phys. Fluids, 19, p. 115101.

[CrossRef]Barenblatt, G. I., 1993, “Scaling Laws for Fully Developed Shear Flows, Part 1: Basic Hypothesis and Analysis,” J. Fluid Mech., 248, pp. 513–520.

[CrossRef]Barenblatt, G. I., 1999, “Scaling Laws for Turbulent Wall Bounded Shear Flows at Very Large Reynolds Numbers,” J. Eng. Math., 36, pp. 361–384.

[CrossRef]Afzal, N., 2001, “Power Law and Log Law Velocity Profiles in Turbulent Boundary-Layer Flow: Equivalent Relations at Large Reynolds Numbers,” Acta Mech., 151, pp. 195–216.

[CrossRef]Afzal, N., 2009, “Analysis of Instantaneous Turbulent Velocity Vector and Temperature Profiles in Transitional Rough Channel Flow,” ASME J. Heat Transfer, 131, p. 064503.

[CrossRef]Barenblatt, G. I., and Chorin, A. J., 2004, “A Mathematical Model for the Scaling of Turbulence,” PNAS, 101, pp. 15023–15026.

[CrossRef] [PubMed]Barenblatt, G. I., Chorin, A. J., and Prostokishin, V. M., 2000, “A Note on the Intermediate Region in Turbulent Boundary Layers,” Phys. Fluids, 12, pp. 2159–2161.

[CrossRef]Marusic, I., Mckeon, B. J., Monkewitz, P. A., Nagib, H. M., Smits, A. J., and Sreenivasan, K. R., 2010, “Wall-Bounded Turbulent Flows at High Reynolds Numbers: Recent Advances and Key Issues,” Phys. Fluids, 22, p. 065103.

[CrossRef]Warhaft, Z., 2000, “Passive Scalar in Turbulent Flow,” Ann. Rev. Flu. Mech., 32, pp. 203–240.

[CrossRef]Churchill, S. W., 1997, “Critique of the Classical Algebraic Analogies between Heat, Mass and Momentum Transfer,” Ind. Eng. Chem. Res., 36, pp. 3866–3878.

[CrossRef]Kader, B. A., 1981, “Temperature and Concentration Profiles in Fully Turbulent Boundary layers,” Int. J. Heat Mass Transfer, 24, pp. 1541–1544.

[CrossRef]Churchill, S. W., 1996, “A Critique of Predictive and Correlative Models for Turbulent Flow and Convection,” Ind. Eng. Chem. Res., 35, pp. 3122–3140.

[CrossRef]Churchill, S. W., and Chan, C., 1994, “Improved Correlating Equations for the Friction Factor for Fully Turbulent Flow in Round Tubes and Between Identical Parallel Plates, Both Smooth and Naturally Rough,” Ind. Eng. Chem. Res., 33, pp. 2016–2019.

[CrossRef]Churchill, S. W., and Chan, C., 1995, “Theoretically Based Correlating Equations for the Local Characteristics of Fully Turbulent Flow in Round Tubes and between Parallel Plates,” Ind. Eng. Chem. Res., 34, pp. 1332–1341.

[CrossRef]Churchill, S. W., and Chan, C., 1995, “Turbulent Flow in Channels in Terms of the Turbulent Shear and Normal Stresses,” AIChE J., 41, pp. 2513–2521.

[CrossRef]Churchill, S. W., 1997, “New Simplified Models and Formulations for Turbulent Flow and Convection,” AIChE J., 43, pp. 1125–1140.

[CrossRef]Kader, B. A., and Yaglom, A. M., 1972, “Heat and Mass Transfer Laws for Fully Turbulent Wall Flows,” Int. J. Heat Mass Transfer, 15, pp. 2329–2351.

[CrossRef]Churchill, S. W., 2002, “A reinterpretation of the Turbulent Prandtl Number,” Ind. Eng. Chem. Res., 41, pp. 6393–6401.

[CrossRef]Churchill, S. W., Yu, B., and Kawaguchi, Y., 2005, “The Accuracy and Parametric Sensitivity of Algebraic Models for Turbulent Flow and Convection,” Int. J. Heat Mass Transfer, 48, pp. 5488–5503.

[CrossRef]Mitrovic, B. M., Le, P. M., and Papavassiliou, D. V., 2004, “On the Prandtl or Schmidt Number Dependence of the Turbulent Heat or Mass Transfer Coefficient,” Chem. Eng. Sci., 59(3), pp. 543–555.

[CrossRef]Le, P. M., and Papavassiliou, D. V., 2006, “On Temperature Prediction at Low Re Turbulent Flows Using the Churchill Turbulent Heat Flux Correlation,” Int. J. Heat Mass Transfer, 49, pp. 3681–3690.

[CrossRef]Danov, S. N., Arai, N., and Churchill, S. W., 2000, “Exact Formulations and nearly Exact Numerical Solutions for Convection in Turbulent Flow between Parallel Plates,” Int. J. Heat Mass Transfer, 43, pp. 2767–2777.

[CrossRef]Kays, W. M., 1994, “Turbulent Prandtl Number—Where are We?” Trans. ASME J. Heat Transfer, 116, pp. 284–295.

[CrossRef]Srinivasan, C., and Papavassiliou, D. V., 2011, “Prediction of Turbulent Prandtl Number in Wall Flows With Lagrangian Simulations,” Ind. Eng. Chem. Res., 50(15), pp. 8881–8891.

[CrossRef]Afzal, N., 1976, “Millikan's Argument at Moderately Large Reynolds Number,” Phys. Fluids, 19, pp. 600–602.

[CrossRef]Afzal, N., 1984, “Mesolayer Theory for Turbulent Flows,” AIAA J., 22, pp. 437–439.

[CrossRef]Afzal, N., 1984, “Periods Between Bursting in Turbulent Shear Flow: An Intermediate Layer,” Curr. Sci., 53, pp. 640–642.

Panton, R. L., 2007, “Composite Asymptotic Expansions and Scaling Wall Turbulence,” Philos. Trans. R. Soc. London, Ser. A, 365, pp. 733–754.

[CrossRef]Klewicki, J., McMurtry, P., Fife, P., and Wei, T., 2004, “A Physical Model of the Turbulent Boundary Layer Consonant With the Structure of Mean Momentum Balance,” Proceedings of the 15th Australasian Fluid Mechanics Conference, University of Sydney, Sydney, Australia.

Wei, T., Fife, P., Klewicki, J., and McMurtry, P., 2005, “Scaling Heat Transfer in Fully Developed Turbulent Channel Flow,” Int. J. Heat Mass Transf., 48, pp. 5284–5296.

[CrossRef]Kawamura, H., Abe, H., and Shingai, K., 2000, “DNS of Turbulence and Heat Transport in a Channel Flow With Different Reynolds and Prandtl Numbers and Boundary Conditions,” Proceedings of the 3rd International Symposium on Turbulence, Heat and Mass Transfer, Aichi Shuppan, Japan, p. 15.

Klewicki, J., Fife, P., Wei, T., and McMurtry, P., 2006, “Overview of the Methodology for Scaling the Intermediate Equations of Wall Turbulence,” AIAA J., 44, pp. 2475–2481.

[CrossRef]Le, P. M., and Papavassiliou, D. V., 2008, “On the Scaling of Heat Transfer Using Thermal Flux Gradients for Fully Developed Turbulent Channel and Couette Flows,” Int. Comm. Heat Mass Transfer, 35(4), pp. 404–412.

[CrossRef]George, W. K., Wosnik, M., and Castillo, L., 1997, “Similarity Analysis for Forced Convection Turbulent Boundary Layer,” Proceedings of the 10th International Symposium on Transport Phenomena in Thermal Sciences and Process Engineering, Kyoto, Japan, p. 239.

Wang, X., and Castillo, L., 2003, “Asymptotic Solutions in Forced Convection Turbulent Boundary Layers,” J. Turbul., 4, pp. 1–18.

[CrossRef]Blackwell, B. F., Kays, W. M., and Moffat, R. J., 1972, “The Turbulent Boundary Layer on a Porous Plate: An Experimental Study of Heat Transfer Behavior With Adverse Pressure Gradients,” Department of Mechanical Engineering, Stanford University Thermosciences Division Report No. HMT-16.

Blom, J., 1970, “An Experimental Determination of the Turbulent Prandtl Number in a Developing Temperature Boundary Layer,” Ph.D. thesis, Technishe Hogeschool, Eindhoven, The Netherlands.

Orlando, A. F., Kays, W. M., and Moffat, R. J., 1974, “Turbulent Transport of Heat and Momentum in a Boundary Layer Subject to Deceleration, Suction and Variable Wall Temperature,” Department of Mechanical Engineering, Stanford University Thermosciences Division, Report No. HMT-17.

Thielbahr, W. H., Kays, W. M., and Moffact, R. J., 1969, “The Turbulent Boundary Layer: Experimental Heat Transfer With Strong Favorable Pressure Gradients and Blowing,” Department of Mechanical Engineering, Stanford University Thermosciences Division Report No HMT-5.

Wang, X., Castillo, L., and Araya, G., 2008, “Temperature Scalings and Profiles in Forced Convection Turbulent Boundary Layers,” Trans. ASME J. Heat Transfer, 130, p. 021701.

[CrossRef]Finnicum, D. S., and Hanratty, T. J., 1988, “Effect of Favorable Pressure Gradients on Turbulent Boundary Layers,” AIChE J., 34, pp. 529–540.

[CrossRef]Gunther, A., Papavassiliou, D. V., Warholic, M. D., and Hanratty, T. J., 1998, “Turbulent Flow in a Channel in Low Reynolds Number,” Exp. Fluids, 25, pp. 503–511.

[CrossRef]Kontomaris, K., Hanratty, T. J., and McLaughlin, J. B., 1993, “An Algoritm for Tracking Fluid Particles in a Spectral Simulation of Turbulent Channel Flow,” J. Comput. Phys., 103, pp. 231–242.

[CrossRef]Papavassiliou, D. V., and Hanratty, T. J., 1995, “The Use of Lagrangian Methods to Describe Transport of Heat From the Wall,” Ind. Eng. Chem. Res., 34, pp. 3359–3367.

[CrossRef]Papavassiliou, D. V., 2002, “Turbulent Transport From Continuous Sources at the Wall of a Channel,” Int. J. Heat Mass Transfer, 45(17), pp. 3571–3583.

[CrossRef]Kim, J., and Moin, P., 1989, “Transport of Passive Scalars in a Turbulent Channel Flow,” *Transport of Passive Scalars in a Turbulent Channel Flow* (Turbulent Shear Flows, Vol. 6), J. C.Andre, J.Cousteix, F.Durst, B. E.Launder, F. W.Schmidt, J. H.Whitelaw, eds., Springer, Berlin.

Kawamura, H., Abe, H., and Matsuo, Y., 1999, “DNS of Turbulent Heat Transfer in Channel Flow With Respect to Reynolds and Prandtl Number Effects,” Int. J. Heat Fluid Flow, 20, pp. 196–207.

[CrossRef]Shaw, D. A., and Hanratty, T. J., 1977, “Influence of Schmidt Number on the Fluctuations of Turbulent Mass Transfer of a Wall,” AIChE J., 23, pp. 160–169.

[CrossRef]Hasegawa, Y., and Kasagi, N., 2009, “Low-Pass Filtering Effects of Viscous Sublayer on High Schmidt Number Mass Transfer Close to a Solid Wall,” Int. J. Heat Fluid Flow, 30, pp. 525–533.

[CrossRef]Na, Y., and Hanratty, T. J., 2000, “Limiting Behavior of Turbulent Scalar Transport Close to a Wall,” Int. J. Heat Mass Transf., 43, pp. 1749–1758.

[CrossRef]Teital, M., and Antonia, R. A., 1993, “Heat Transfer in Fully Developed Turbulent Channel Flow: Comparison Between Experiment and Direct Numerical Simulations,” Int. J. Heat Mass Transfer, 36, pp. 1701–1706.

[CrossRef]Churchill, S. W., 2000, “Progress in Thermal Science: AICHE Institute Lecture,” AIChE J., 46, pp. 1704–1722.

[CrossRef]Schwertfirm, F., and Manhart, M., 2001, “DNS of Passive Scalar Transport in Turbulent Channel Flow at High Schmidt Numbers,” Int. J. Heat Fluid Flow, 28, pp. 1204–1214.

[CrossRef]Dong, Y. H., Lu, X. Y., and Zhuang, L. X., 2003, “Large Eddy Simulation of Turbulent Channel Flow With Mass Transfer at High-Schmidt Numbers,” Int. J. Heat Mass Transf., 46, pp. 1529–1539.

[CrossRef]Wang, L. Y., Dong, Y. H., and Lu, X. Y., 2004, “Larger Eddy Simulation of Turbulent Open Channel Flow With Heat Transfer at High Prandtl Numbers,” Acta Mech., 170, pp. 227–246.

[CrossRef]Papavassiliou, D. V., and Hanratty, T. J., 1997, “Transport of a Passive Scalar in a Turbulent Channel Flow,” Int. J. Heat Mass Transfer, 40(6), pp. 1303–1311.

[CrossRef]Ponoth, S. S., and McLaughlin, J. B., 2000, “Numerical Simulation of a Mass Transfer for Bubbles in Water,” Chem. Eng. Sci., 55, pp. 1237–1255.

[CrossRef]Mito, Y., and Hanratty, T. J., 2003, “Lagrangian Stochastic Simulation of Turbulent Dispersion of Heat Markers in a Channel Flow,” Int. J. Heat Mass Transfer, 46(6), pp. 1063–1073.

[CrossRef]