Generalized wall functions for turbulent flows with strong adverse pressure gradient
 D. Ph. Sikovsky
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The generalized wall functions for turbulent flows with strong adverse pressure gradients are derived on the basis of the asymptotic theory of nearwall turbulence. The generalized wall functions have a correct asymptotic behavior in the limit of zero friction velocity and can be applied to computations of flows under a strong adverse pressure gradient and with separation or reattachment. Calculations of a turbulent boundary layer in a strong adverse pressure gradient with the aid of the developed modified kɛ model of turbulence and comparison with the experimental data validate the advantages of the generalized wall functions over traditional wall functions based on the logarithmic law of the wall.
 Launder, B.E. (1998) On the Computation of Convective Heat Transfer in Complex Turbulent Flows. Trans. ASME, J. Heat Transfer 110: pp. 11121128 CrossRef
 Spalding, D.B. (1967) Heat Transfer from Turbulent Separated Flows. J. Fluid Mech. 27: pp. 97109 CrossRef
 Wolfshtein, M. (1969) The Velocity and Temperature Distribution in OneDimensional Flow with Turbulence Augmentation and Pressure Gradient. Int. J. Heat Mass Transfer 12: pp. 301318 CrossRef
 Mellor, G.L. (1966) The Effects of Pressure Gradients on Turbulent Flow near a Smooth Wall. J. Fluid Mech. 24: pp. 255274 CrossRef
 Patel, V.C. (1973) A United View of the Law of the Wall Using Mixing Length Theory. Aeronautical Quart. 24: pp. 5570
 Cruz, D.O., Silva Freire, A.P. (1998) On Single Limits and the Asymptotic Behaviour of Separating Turbulent Boundary Layers. Int. J. Heat Mass Transfer 41: pp. 20972111 CrossRef
 Stratford, B.S. (1959) The Prediction of Separation of the Turbulent Boundary Layer. J. Fluid Mech. 5: pp. 116 CrossRef
 Chieng, C.C., Launder, B.E. (1980) On the Calculation of Turbulent Heat Transfer Downstream from Abrupt Pipe Expansion. Num. Heat Transfer 3: pp. 189207 CrossRef
 Craft, T.J., Gerasimov, A.V., Iacovides, H., Launder, B.E. (2002) Progress in the Generalization of the WallFunction Treatments. Int. J. Heat Fluid Flow 23: pp. 148160 CrossRef
 Yajnik, K.S. (1970) Asymptotic Theory of Turbulent Shear Flows. J. Fluid Mech. 42: pp. 411427 CrossRef
 Kader, B.A., Yaglom, A.M. (1979) Similarity Treatment of MovingEquilibrium Turbulent Boundary Layers in Adverse Pressure Gradients. J. Fluid Mech. 89: pp. 305342 CrossRef
 Schofield, W.H. (1981) Equilibrium Boundary Layers in Moderate to Strong Adverse Pressure Gradients. J. Fluid Mech. 113: pp. 91122 CrossRef
 Gorin, A.V., Sikovsky, D.Ph. (1998) Turbulent Boundary Layers with Strong Adverse Pressure Gradients. Thermophys. Aeromech. 5: pp. 313330
 Gorin, A.V. and Sikovsky, D.Ph., On the Ability of Turbulence Models to Predict the Complex Turbulent Flows: The Application of Scaling Analysis, Proc. Second Int. Conf. on Turbulent Heat Transfer, Manchester, UK, 1998, vol. 2, pp. 63–72.
 Gorin, A.V. and Sikovsky, D.Ph., Asymptotic Theory of NearWall Turbulence: Do the Wall Functions Exist for Complex Turbulent Flows? Proc. Third Int. Symposium on Turbulence, Heat and Mass Transfer, Nagano, Y., Hanjalic, K., and Tsuji, T., eds., pp. 157–164, 2000.
 Melnik, R.E. (1989) An Asymptotic Theory of Turbulent Separation. Comp. Fluids 17: pp. 165184 CrossRef
 Rodi, W., The Prediction of Free Turbulent Boundary Layers by Use of a TwoEquation Model of Turbulence, Ph. D. Thesis, Univ. of London, 1972.
 Durbin, P.A., Belcher, S.E. (1992) Scaling of AdversePressureGradient Turbulent Boundary Layers. J. Fluid Mech. 238: pp. 699722 CrossRef
 Samuel, A.E., Joubert, P.N. (1974) A Boundary Layer Developing in an Increasing Adverse Pressure Gradient. J. Fluid Mech. 66: pp. 481505 CrossRef
 Launder, B.E., Spalding, D.B. (1974) The Numerical Computations of Turbulent Flows. Comp. Meth. Appl. Mech. Eng. 3: pp. 269289 CrossRef
 Bradshaw, P. (1967) “Inactive” Motion and Pressure Fluctuations in Turbulent Boundary Layers. J. Fluid Mech. 30: pp. 241258 CrossRef
 Title
 Generalized wall functions for turbulent flows with strong adverse pressure gradient
 Journal

Journal of Engineering Thermophysics
Volume 20, Issue 1 , pp 89100
 Cover Date
 20110301
 DOI
 10.1134/S1810232811010085
 Print ISSN
 18102328
 Online ISSN
 19905432
 Publisher
 SP MAIK Nauka/Interperiodica
 Additional Links
 Authors

 D. Ph. Sikovsky ^{(1)} ^{(2)}
 Author Affiliations

 1. Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 1, Novosibirsk, 630090, Russia
 2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia